
Programme
Titles
Presenters
Topics

Title Index 
5 and 6yearold children´s number line estimation patterns Jessica Elofsson Linköping University, Dept. of Behavioural Sciences and Learning, Sweden TWG 2 Arithmetic and Number Systems:
Poster presentations


A case for a new approach to establishing the validity of comparative judgement as an assessment tool for mathematics Ben Davies Loughborough University, UK TWG 21 Assessment in Mathematics Education:
Paper presentations


A case study of a first grade teacher's quality of implementation of mathematical tasks Vuslat Şeker*^{1}, Engin Ader^{2} ^{ 1}Middle East Technical University, Turkey, ^{ 2}Bogaziçi University, Turkey TWG 19 Mathematics Teacher and Classroom Practices:
Paper presentations


A case study on Finnish pupils' mathematical thinking: Problem solving and view of mathematics Hanna Viitala University of Agder, Norway TWG 8 Affect and Mathematical Thinking:
Paper presentations


A characterisation of attitude grounded on proportionality María del Socorro García González*^{1}, Rosa María Farfán Márquez^{2} ^{ 1}Research Centre of Mathematics Education, Autonomous University of Guerrero, Mexico, ^{ 2}Centre of Research and Advanced Studies of the National Polytechnic Institute for Mexico CinvestavIPN, Mexico TWG 8 Affect and Mathematical Thinking:
Paper presentations


A classical dot patternbased approach to algebraic expressions in a multicultural classroom Marc Sauerwein*^{1}, Malte Mink^{2} ^{ 1}University of Bonn, Germany, ^{ 2}OttoKühneSchule, Germany TWG 3 Algebraic Thinking:
Poster presentations


A commognitive lens to study preservice teachers' teaching in the context of achieving a goal of ambitious mathematics teaching Gry Anette Tuset Stord Haugesund University College, Norway TWG 19 Mathematics Teacher and Classroom Practices:
Paper presentations


A computerbased collaboration script to mediate verbal argumentation in mathematics Giovannina Albano*^{1}, Umberto Dello Iacono^{1}, Maria Alessandra Mariotti^{2} ^{ 1}University of Salerno, Italy, ^{ 2}University of Siena, Italy TWG 16 Learning Mathematics with Technology and Other Resources:
Paper presentations


A conception of betweenstate ratio in fraction form Gulseren Karagoz Akar Bogazici University, Turkey TWG 2 Arithmetic and Number Systems:
Paper presentations


A course on the philosophy of mathematics for future teachers Elizabeth de Freitas Manchester Metropolitan University, UK TWG 12 History in Mathematics Education:
Paper presentations


A digital tool for applying integrals in a kinematic simulation: A perspective on instrumental genesis, epistemic value and semiotic potential Ninni Marie Hogstad*^{1}, Ghislain Maurice Norbert Isabwe^{2}, Pauline Vos^{1} ^{ 1}University of Agder, Norway, ^{ 2}University of Agder, Norway TWG 14 University Mathematics Education:
Paper presentations


A framework for classifying mathematical justification tasks Boon Liang Chua National Institute of Education, Nanyang Technological University, Singapore TWG 1 Argumentation and Proof:
Paper presentations


A framework for designing inquiry based activities for early childhood mathematics Chrysanthi Skoumpourdi University of the Aegean, Greece TWG 13 Early Years Mathematics:
Paper presentations


A framework for goal dimensions of mathematics learning support in universities Michael Liebendörfer*^{1}, Reinhard Hochmuth^{1}, Rolf Biehler^{2}, Niclas Schaper^{2}, Christiane Kuklinski^{1}, Sarah Khellaf^{1}, Christoph Colberg^{2}, Mirko Schürmann^{2}, Lukas Rothe^{1} ^{ 1}Universität Hannover, Germany, ^{ 2}Universität Paderborn, Germany TWG 14 University Mathematics Education:
Paper presentations


A high school novice teacher's perception on the effect of content course taken as preservice Fatma AslanTutak*, Tugay Durak Bogazici University, Turkey TWG 20 Mathematics Teacher Knowledge, Beliefs and Identity:
Paper presentations


A kindergarten teacher's revealed knowledge in orchestration of mathematical activities Per Sigurd Hundeland*, Ingvald Erfjord, Martin Carlsen University of Agder, Norway TWG 13 Early Years Mathematics:
Paper presentations


A mathematics educator and a mathematician coteaching mathematics – affordances for teacher education Jason Cooper*^{1}, Orit Zaslavsky^{2} ^{ 1}Weizmann Institute of Science, Israel, ^{ 2}New York University, USA TWG 14 University Mathematics Education:
Paper presentations


A micromodel of didactical variables to explore the mathematical organization of complex numbers at upper secondary level Imène Ghedamsi IPEIT, Tunisia TWG 14 University Mathematics Education:
Paper presentations


A practical study of a design of university mathematics courses for the humanities and social sciences students Mitsuru Kawazoe*, Masahiko Okamoto Osaka Prefecture University, Japan TWG 14 University Mathematics Education:
Poster presentations


A praxeological approach to Klein’s plan B: crosscutting from Calculus to Fourier Analysis Margo Kondratieva*^{1}, Carl Winslow^{2} ^{ 1}Memorial University, Canada, ^{ 2}University of Copenhagen, Denmark TWG 14 University Mathematics Education:
Paper presentations


A preservice secondary school teacher’s pedagogical content knowledge for teaching algebra Florence Mamba*^{1}, Reidar Mosvold^{2}, Raymond Bjuland^{2} ^{ 1}University of Malawi, Malawi, ^{ 2}University of Stavanger, Norway TWG 20 Mathematics Teacher Knowledge, Beliefs and Identity:
Paper presentations


A reference for studying the teaching of logic Zoé Mesnil Université Paris Est Créteil, Laboratoire de Didactique André Revuz, France TWG 1 Argumentation and Proof:
Paper presentations


A scale on cognitive configurations for tasks requiring visualization and spatial reasoning Teresa F. Blanco, Pablo G. Sequeiros*, Cristina Núñez, María Salgado University of Santiago de Compostela, Spain TWG 4 Geometry:
Poster presentations


A study investigating how mathematics teachers view and use tablets as a teaching tool Kinga Petrovai University of Oxford, UK TWG 15 Teaching Mathematics with Technology and Other Resources:
Poster presentations


A study of readiness for the integration of 21st century practices in the mathematics classrooms Aibhín Bray*, Elizabeth Oldham, Katriona O'Sullivan Trinity College Dublin, the University of Dublin, Ireland TWG 19 Mathematics Teacher and Classroom Practices:
Poster presentations


A study of the Cornerstone Maths project teachers' classroom practices: geometric similarity using Cornerstone Maths software Ali Simsek*^{1}, Nicola Bretscher^{2} ^{ 1}University College London Institute of Education, UK, ^{ 2}University College London Institute of Education, UK TWG 15 Teaching Mathematics with Technology and Other Resources:
Poster presentations


A study of the development and evolvement of mathematics student teachers' knowledge on the implementation of CAS in the teaching of mathematics  a praxeological analysis Louise Meier Carlsen^{1,2} ^{ 1}University of Copenhagen, Denmark, ^{ 2}University of the Faroe Islands, Faroe Islands TWG 15 Teaching Mathematics with Technology and Other Resources:
Poster presentations


A theoretical framework for analyzing training situations in mathematics teacher education Claire GuilleBiel Winder*^{1,2}, Frédérick Tempier^{4,3} ^{ 1}COPIRELEM, France, ^{ 2}CAFEPESPE de Nice Université de NiceSophiaAntipolis, France, ^{ 3}Université de CergyPontoise, France, ^{ 4}Laboratoire André Revuz, France TWG 18 Mathematics Teacher Education and Professional Development:
Paper presentations


A vector is a line segment?  Students' concept definitions of a vector during the transition from school to university Tobias Mai*, Frank Feudel, Rolf Biehler University of Paderborn, Germany TWG 14 University Mathematics Education:
Paper presentations


A vertical analysis of difficulties in mathematics by secondary school to university level; some evidences stems from standardized assessment Federica Ferretti*^{1}, Alessandro Gambini^{2} ^{ 1}University of Bologna, Italy, ^{ 2}University of Parma, Italy TWG 21 Assessment in Mathematics Education:
Paper presentations


Abstraction in context and documenting collective activity Michal Tabach*^{1}, Chris Rasmussen^{3}, Tommy Dreyfus^{1}, Rina Hershkowitz^{2} ^{ 1}TelAviv Univesity, Israel, ^{ 2}Weizmann Institute, Israel, ^{ 3}San Diego State University, USA TWG 17 Theoretical Perspectives and Approaches in Mathematics Education Research:
Paper presentations


Access to conceptual understanding  summer courses for linear algebra and analysis after the first semester Kirsten Schmitz*, Ingolf Schäfer University of Bremen, Germany TWG 14 University Mathematics Education:
Paper presentations


Actions of a prospective teacher in different moments of practice: The case of Berta Nadia Ferreira*, João Pedro Ponte Instituto de EducaçãoUniversidade de Lisboa, Portugal TWG 19 Mathematics Teacher and Classroom Practices:
Paper presentations


Agency as a tool in design research collaborations Andreas Eckert Linnaeus University, Sweden TWG 22 Curricular Resources and Task Design in Mathematics Education:
Paper presentations


Algorithmics in secondary school: A comparative study between Ukraine and France Simon Modeste*^{1}, Maryna Rafalska^{2} ^{ 1}Université de Montpellier, IMAG  UMR CNRS 5149, France, ^{ 2}National Pedagogical Dragomanov University, Ukraine TWG 11 Comparative Studies in Mathematics Education:
Paper presentations


An analysis of freshmen engineering students' notes during a preparatory mathematics course Chiara Andra Politecnico di Milano, Italy TWG 14 University Mathematics Education:
Paper presentations


An application of Habermas’ rationality to the teacher’s actions: Analysis of argumentation in two classrooms AnnaMarie Conner University of Georgia, USA TWG 1 Argumentation and Proof:
Paper presentations


An expanded theoretical perspective for proof construction and its teaching John Selden, Annie Selden* New Mexico State University, USA TWG 1 Argumentation and Proof:
Paper presentations


An exploration of challenges of engaging students in generative interaction with diagrams during geometric proving Lisnet Mwadzaangati^{1} ^{ 1}University of Malawi, Malawi, ^{ 2}University of Stavanger, Norway TWG 20 Mathematics Teacher Knowledge, Beliefs and Identity:
Paper presentations


An exploratory teaching style in promoting the learning of proof Xiaoheng Yan*^{1}, John Mason^{2}, Gila Hanna^{1} ^{ 1}University of Toronto, Canada, ^{ 2}University of Oxford, UK TWG 1 Argumentation and Proof:
Paper presentations


An insight into the sources of multiple referents for the unknown in the algebraic solving of word problems Carlos Soneira*^{1}, José Antonio GonzálezCalero^{3}, David Arnau^{2} ^{ 1}University of A Coruña, Spain, ^{ 2}University of Valencia, Spain, ^{ 3}University of CastillaLa Mancha, Spain TWG 3 Algebraic Thinking:
Paper presentations


An instructorgenerated concept framework for elementary algebra in the tertiary context Claire Wladis*, Kathleen Offenholley, Jae Ki Lee, Dale Dawes, Susan Licwinko City University of New York, USA TWG 3 Algebraic Thinking:
Poster presentations


An investigation of elementary mathematics teachers' knowledge for teaching algebra Nurbanu Yilmaz*^{1,2}, Ayhan Kursat Erbas^{2} ^{ 1}Bulent Ecevit University, Turkey, ^{ 2}Middle East Technical University, Turkey TWG 20 Mathematics Teacher Knowledge, Beliefs and Identity:
Paper presentations


Analysing a teacher's orchestration of mathematics in a ‘typical' classroom Fay Baldry University of Leicester, UK TWG 19 Mathematics Teacher and Classroom Practices:
Paper presentations


Analysing mathematics teacher learning in lesson study  a proposed theoretical framework Aoibhinn Ni Shuilleabhain^{2}, Stéphane Clivaz*^{1} ^{ 1}Lausanne University of Teacher Education, Switzerland, ^{ 2}University College Dublin, Ireland TWG 18 Mathematics Teacher Education and Professional Development:
Paper presentations


Analysing MOOCs in terms of teacher collaboration potential and issues: the French experience Monica Panero*^{1}, Gilles Aldon^{1}, Jana Trgalová^{2}, Luc Trouche^{1} ^{ 1}University of Lyon, ENS de LyonInstitut Français de l'Education, S2HEPEducTice, France, ^{ 2}University of Lyon, Claude Berdard University of Lyon 1, S2HEP (EA4148), France TWG 15 Teaching Mathematics with Technology and Other Resources:
Paper presentations


Analysing students' graphicacy from a national test Oduor Olande Linneuniversitetet, Sweden TWG 21 Assessment in Mathematics Education:
Paper presentations


Analysis of mathematics standardized tests: examples of tasks for teachers Francesca Martignone Università del Piemonte Orientale, Italy TWG 20 Mathematics Teacher Knowledge, Beliefs and Identity:
Paper presentations


Analyzing MOOCs in terms of teacher collaboration potential and issues: the Italian experience Eugenia Taranto*^{1}, Ferdinando Arzarello^{1}, Ornella Robutti^{1}, Virginia Alberti^{2}, Sara Labasin^{3}, Sara Gaido^{1} ^{ 1}Department of Mathematics G. Peano, University of Turin, Italy, ^{ 2}I.I.S. B. Castelli, Italy, ^{ 3}L.S. P. Gobetti, Italy TWG 15 Teaching Mathematics with Technology and Other Resources:
Paper presentations


Analyzing some algebraic mistakes from a XVI century Spanish text and observing their persistence among present 10th grade students Antonio M. OllerMarcén*^{1}, Vicente Meavilla^{2} ^{ 1}Centro Universitario de la Defensa de Zaragoza, Spain, ^{ 2}Universidad de Zaragoza, Spain TWG 12 History in Mathematics Education:
Paper presentations


Analyzing verbal interactions in mathematics classroom: connecting different research fields Mariam Haspekian*, Eric Roditi University Paris Descartes, France TWG 17 Theoretical Perspectives and Approaches in Mathematics Education Research:
Paper presentations


Anticipating students’ responses through lesson study: A case study with three prospective middle school mathematics teachers Nadide Yilmaz*^{1}, I. Elif Yetkin Ozdemir^{1}, Bülent Çetinkaya^{2} ^{ 1}Hacettepe University, Turkey, ^{ 2}Middle East Technical University, Turkey TWG 20 Mathematics Teacher Knowledge, Beliefs and Identity:
Paper presentations


Approaches to learning of linear algebra among engineering students Ragnhild Johanne Rensaa UiT the Arctic University of Norway, Norway TWG 14 University Mathematics Education:
Paper presentations


Arithmetical problems in primary school: ideas that circulated in São Paulo/Brazil in the end of the 19th century Luciane de Fatima Bertini*^{1}, Andreia Fernandes de Souza^{2} ^{ 1}Universidade Federal de São Paulo, Brazil, ^{ 2}Universidade Federal de São Paulo, Brazil TWG 12 History in Mathematics Education:
Paper presentations


Aspects of numbers challenged in toddlers' play and interaction Camilla Björklund University of Gothenburg, Sweden TWG 13 Early Years Mathematics:
Paper presentations


Aspects of proficiency in elementary algebra Guido Pinkernell*^{1}, Christian Düsi^{2}, Markus Vogel^{1} ^{ 1}University of Education, Germany, ^{ 2}Cooperative State University BadenWürttemberg, Germany TWG 3 Algebraic Thinking:
Paper presentations


Assessment in mathematics as a lever to promote students’ learning and teachers’ professional development Julie Horoks*, Julia Pilet Laboratoire de didactique André Revuz, France TWG 21 Assessment in Mathematics Education:
Paper presentations


Assessment of students' thinking when working with graphs of functions  Promoting preservice teachers' diagnostic competence Rita Hofmann*, Jürgen Roth University of KoblenzLandau, Campus Landau, Germany TWG 21 Assessment in Mathematics Education:
Paper presentations


Asymptotes and asymptotic behavior in graphing functions and curves: an analysis of the Croatian upper secondary education within the anthropological theory of the didactics Aleksandra Čižmešija*^{1}, Ana Katalenić^{2}, Željka Milin Šipuš^{3} ^{ 1}University of Zagreb, Faculty of Science, Croatia, ^{ 2}University of Osijek, Faculty of Education, Croatia, ^{ 3}University of Zagreb, Faculty of Science, Croatia TWG 22 Curricular Resources and Task Design in Mathematics Education:
Poster presentations


Atdistance collegelevel training in statistical methods: Prospects and considerations Maria MeletiouMavrotheris*^{1}, Efi Paparistodemou^{2}, Ana Serrado^{3} ^{ 1}European University Cyprus, Cyprus, ^{ 2}Cyprus Pedagogical Institute, Cyprus, ^{ 3}La SalleBuen Consejo, Spain TWG 5 Probability and Statistics Education:
Paper presentations


Authority structures in preservice teachers' talk Konstantinos Tatsis*^{1}, Bozena MajTatsis^{2} ^{ 1}University of Ioannina, Greece, ^{ 2}University of Rzeszow, Poland TWG 9 Mathematics and Language:
Paper presentations


Autism and mathematics education Michiel Klaren*, Birgit Pepin, Marieke Thurlings Eindhoven University of Technology, The Netherlands TWG 4 Geometry:
Paper presentations


Bangladeshi rural secondary madrasa (Islamic school) children's participation in higher mathematics optional course: a close look through gender lens K.M. Nabiul Alam UCL Institute of Education, UK TWG 10 Diversity and Mathematics Education: Social, Cultural and Political Challenges:
Poster presentations


Beginning teachers' perspectives on linear equations: A pilot quantitative comparison of Greek and Cypriot students Paul Andrews*^{1}, Constantinos Xenofontos^{2} ^{ 1}Stockholm University, Sweden, ^{ 2}University of Nicosia, Cyprus TWG 11 Comparative Studies in Mathematics Education:
Paper presentations


Being in the diversity and going through the infinity Cássia Schuck^{1}, Cláudia Flores*^{2} ^{ 1}Federal Institute Catarinense, Brazil, ^{ 2}Federal University of Santa Catarina, Brazil TWG 10 Diversity and Mathematics Education: Social, Cultural and Political Challenges:
Poster presentations


Belief change of teachers in PD course with reflecting on students' learning results Thomas Hahn*, Andreas Eichler University Kassel, Germany TWG 18 Mathematics Teacher Education and Professional Development:
Paper presentations


Beyond a positive stance: integrating technology is demanding on teachers' mathematical knowledge for teaching Nicola Bretscher UCL Institute of Education, UK TWG 15 Teaching Mathematics with Technology and Other Resources:
Paper presentations


Can teacher trainees use inductive arguments during their problem solving activity? Eszter Kónya*^{1}, Zoltán Kovács^{1,2} ^{ 1}University of Debrecen, Hungary, ^{ 2}University of Nyíregyháza, Hungary TWG 1 Argumentation and Proof:
Paper presentations


Causality and temporalization in the construction of reference systems for the treatment of variation: Socioepistemological study Mario CaballeroPérez*, Ricardo Cantoral Center of Research and Advanced Estudies of the National Polytechnic Institute, Mexico TWG 17 Theoretical Perspectives and Approaches in Mathematics Education Research:
Poster presentations


Changes in the images and arguing from the mathematics textbooks for the secondary school in Argentina along 67 years Viviana Carolina Llanos*^{1,2}, Maria Rita Otero^{1,2} ^{ 1}Universidad Nacional del Centro de la Provincia de Buenos Aires (UNICEN), Argentina, ^{ 2}Consejo Nacional de Investigaciones Científicas y Técnicas (CONICET), Argentina TWG 22 Curricular Resources and Task Design in Mathematics Education:
Poster presentations


Changing classroom practice Ove Gunnar Drageset*^{1}, Tor Helge Allern^{2} ^{ 1}UiT  The Arctic University of Norway, Norway, ^{ 2}Bergen University College, Norway TWG 19 Mathematics Teacher and Classroom Practices:
Paper presentations


Changing images of mathematics in the transition from school to vocational education Diane Dalby University of Nottingham, UK TWG 8 Affect and Mathematical Thinking:
Paper presentations


Characteristics of a learning environment to support prospective secondary mathematics teachers' noticing of students' thinking related to the limit concept Ceneida Fernández*^{1}, Salvador Llinares^{1}, M. Luz Callejo^{1}, Mar Moreno^{1}, Gloria SánchezMatamoros^{2} ^{ 1}Universidad de Alicante, Spain, ^{ 2}Universidad de Sevilla, Spain TWG 18 Mathematics Teacher Education and Professional Development:
Paper presentations


Characteristics of preservice primary teachers’ noticing of students’ thinking related to fraction concept subconstructs Àngela Buforn*^{1}, Ceneida Fernández^{1}, Salvador Llinares^{1}, Gloria SánchezMatamoros^{2} ^{ 1}University of Alicante, Spain, ^{ 2}University of Sevilla, Spain TWG 18 Mathematics Teacher Education and Professional Development:
Paper presentations


Characterizing theories aimed at supporting teachers’ mathematical classroom practices Per Nilsson*^{1}, Andreas Ryve^{2}, Maria Larsson^{3} ^{ 1}Örebro University, Sweden, ^{ 2}Mälardalen University, Sweden, ^{ 3}Mälardalen University, Sweden TWG 23 Implementation of Research Findings in Mathematics Education:
Paper presentations


Children’s drawings for word problems – design of a theory and an analysis tool Barbara Ott University of Teacher Education St. Gallen, Switzerland TWG 24 Representations in Mathematics Teaching and Learning:
Paper presentations


Children's blockbuilding: How do they express their knowledge of geometrical solids? Susanne Wöller*, Simone Reinhold University of Leipzig, Germany TWG 4 Geometry:
Poster presentations


Children's performance on a mathematics task they were not taught to solve: A case study Seán Delaney Marino Institute of Education, Ireland TWG 22 Curricular Resources and Task Design in Mathematics Education:
Paper presentations


Chilean primary school students levels in reading pictograms Danilo DíazLevicoy, Pedro Arteaga*, Carmen Batanero University of Granada, Spain TWG 5 Probability and Statistics Education:
Paper presentations


Choosing a Mathematic Working Space in a modelling task: the influence of teaching Elizabeth Montoya Delgadillo*^{1}, Fernanda Viola^{2}, Laurent Vivier^{3} ^{ 1}Pontificia Universitaria Católica de Valparaíso, Chile, ^{ 2}Universidad Nacional de Córdoba, Argentina, ^{ 3}Université Paris Diderot, France TWG 6 Applications and Modelling:
Paper presentations


Classification and resolution of the descriptive historical fraction problems Maria T. Sanz*, Bernardo Gómez Universidad de Valencia, Spain TWG 12 History in Mathematics Education:
Paper presentations


Coaching and engaging. Developing teaching with CAS in high school Niels Grønbæk^{1}, Claus Larsen*^{2}, Henrik Bang^{2} ^{ 1}University of Copenhagen, Denmark, ^{ 2}Christianshavns Gymnasium, Denmark TWG 15 Teaching Mathematics with Technology and Other Resources:
Poster presentations


Codisciplinary mathematics and physics research and study courses (RSC) within two groups of preservice teacher education Maria Rita Otero*^{1,2}, Viviana Carolina Llanos^{1,2}, Marcelo Arlego^{1,2}, Maria Paz Gazzola^{1,2} ^{ 1}Universidad Nacional del Centro de la Provincia de Buenos Aires, Argentina, ^{ 2}Consejo Nacional de Investigaciones Cientificas y Tecnologicas, Argentina TWG 18 Mathematics Teacher Education and Professional Development:
Paper presentations


Cognitive demand of mathematics tasks set in European statewide exit exams  Are some competences more demanding than others? Christina DrükeNoe*^{1}, SvenjaMareike Kühn^{2} ^{ 1}Pädagogische Hochschule Weingarten, University of Education, Germany, ^{ 2}Universität KoblenzLandau, Germany TWG 21 Assessment in Mathematics Education:
Paper presentations


Cognitive unity of theorems, theories and related rationalities Paolo Boero Genoa University, Italy TWG 1 Argumentation and Proof:
Paper presentations


Collaborative learning in multigrade mathematics education at primary level RachelAnn Friesen Technical University, Germany TWG 10 Diversity and Mathematics Education: Social, Cultural and Political Challenges:
Poster presentations


Collaborative research in inservice teacher professional development Jónína Vala Kristinsdóttir University of Iceland, Iceland TWG 18 Mathematics Teacher Education and Professional Development:
Paper presentations


Combining historical, foundational, and developmental insights to build children´s first steps in mathematics Ana María Millán Gasca^{1}, Elena Gil Clemente*^{2}, Ilaria Colella^{3} ^{ 1}Roma Tre University, Italy, ^{ 2}Universidad de Zaragoza, Spain, ^{ 3}Tokalon Formazione, Italy TWG 13 Early Years Mathematics:
Paper presentations


Combining two frameworks: a new perspective on mathematics teacher knowledge Knud Thorbjørn Sloth*, Ingi Heinesen Højsted University College Capital, Denmark TWG 20 Mathematics Teacher Knowledge, Beliefs and Identity:
Poster presentations


Combining two theories in the design for learning about integrals Anatoli Kouropatov*^{1}, Tommy Dreyfus^{2} ^{ 1}Levinsky College of Education, Israel, ^{ 2}TelAviv University, Israel TWG 17 Theoretical Perspectives and Approaches in Mathematics Education Research:
Paper presentations


Common patterns of thought and statistics: accessing variability through the typical Christian Büscher TU Dortmund University, Germany TWG 5 Probability and Statistics Education:
Paper presentations


Comparing the practices of primary school mathematics teacher education. Case studies from Japan, Finland and Sweden Yukiko AsamiJohansson*^{1}, Iiris Attorps^{1}, Anu Laine^{2} ^{ 1}University of Gävle, Sweden, ^{ 2}university of Helsinki, Finland TWG 11 Comparative Studies in Mathematics Education:
Paper presentations


Comparison of Kosovan and Polish preservice teachers' knowledge of fractions Jeta Kingji Kastrati*^{1}, Miroslawa Sajka^{2}, Eda Vula^{3} ^{ 1}University of Ljubljana, Slovenia, ^{ 2}Pedagogical University of Cracow, Poland, ^{ 3}University of Pristina, Kosovo TWG 11 Comparative Studies in Mathematics Education:
Paper presentations


Conceptions of the transition from the difference quotient to the derivative in imaginary dialogues written by preservice teachers Annika Wille AlpenAdriaUniversität Klagenfurt, Austria TWG 9 Mathematics and Language:
Paper presentations


Conceptualizing reasoningandproving opportunities in textbook expositions: cases from secondary calculus Andreas Bergwall Örebro University, Sweden TWG 1 Argumentation and Proof:
Paper presentations


Conceptualizing the core of the function concept  A facet model Carina Zindel TU Dortmund University, Germany TWG 3 Algebraic Thinking:
Paper presentations


Conditional probability as a decisionmaking tool: a didactic sequence Raimundo Elicer*^{1}, Eduardo Carrasco^{2} ^{ 1}Roskilde University, Denmark, ^{ 2}Metropolitan University of Education Sciences, Chile TWG 5 Probability and Statistics Education:
Paper presentations


Connections between approximating irrationals by a sequence of decimals and introducing the notion of convergence Hichem Khechine*^{1}, Alejandro GonzálezMartín^{2} ^{ 1}ISEFC, Tunisia, ^{ 2}Université de Montréal, Canada TWG 14 University Mathematics Education:
Poster presentations


Considering research frameworks as a tool for reflection on practices: Grainsize and levels of change Siún Nic Mhuirí Dublin City University, Ireland TWG 19 Mathematics Teacher and Classroom Practices:
Paper presentations


Constraints to a justification of commutativity of multiplication Heidi Strømskag*^{1}, Anita Valenta^{2} ^{ 1}Norwegian University of Science and Technology, Norway, ^{ 2}Norwegian Centre for Mathematics Education, Norway TWG 3 Algebraic Thinking:
Paper presentations


Constructing draggable figures using Geogebra: the contribution of the DGE for geometric structuring Lina Brunheira*^{1,3}, João Pedro Ponte^{1} ^{ 1}Instituto de Educação da Universidade de Lisboa, Portugal, ^{ 2}Escola Superior de Educação de Lisboa, Portugal, ^{ 3}UIDEF, Instituto de Educação, Universidade de Lisboa, Portugal TWG 4 Geometry:
Paper presentations


Constructing mathematical meaning of the cosine function using covariation between variables in a modeling situation in Cabri. Faten Khalloufi Mouha Faculté des Sciences Bizerte, Tunisia TWG 9 Mathematics and Language:
Paper presentations


Constructing the shortest path on a cylindrical surface Chronis Kynigos*, Ioannis Zantzos National and Kapodistrian University of Athens, Greece TWG 16 Learning Mathematics with Technology and Other Resources:
Paper presentations


Contentrelated and social participation in inclusive mathematics education Judith Jung*, Marcus Schütte TU Dresden, Germany TWG 10 Diversity and Mathematics Education: Social, Cultural and Political Challenges:
Paper presentations


Context based tasks on differential equations to improve students' beliefs about the relevance of mathematics Dié Gijsbers*, Birgit Pepin Eindhoven University of Technology, The Netherlands TWG 22 Curricular Resources and Task Design in Mathematics Education:
Paper presentations


Continuity of the students's experience and systems of representation, an example of teaching and learning in mathematics first grade students. Sophie JoffredoLe Brun*^{1}, Mireille Morellato^{2}, Gérard Sensevy^{3}, Serge Quilio^{4} ^{ 1}University of western Brittany, France, ^{ 2}University of western Brittany, France, ^{ 3}University of western Brittany, France, ^{ 4}University of Nice, France TWG 24 Representations in Mathematics Teaching and Learning:
Paper presentations


Core practices and mathematical tasks of teaching in teacher education: What can be learned from a challenging case? Janne Fauskanger*, Reidar Mosvold University of Stavanger, Norway TWG 18 Mathematics Teacher Education and Professional Development:
Paper presentations


Creating a color palette: the model, the concept, and the mathematics Susana Carreira*^{1,2}, Ana Margarida Baioa^{3} ^{ 1}University of Algarve, Portugal, ^{ 2}UIDEF, Instituto de Educação, Universidade de Lisboa, Portugal, ^{ 3}Group of Schools D. Manuel I – Tavira, Portugal TWG 6 Applications and Modelling:
Paper presentations


Critical evaluation and design of mathematics tasks: preservice teachers Majella Dempsey*^{1}, Ann O'Shea^{2} ^{ 1}Maynooth University, Ireland, ^{ 2}Maynooth University, Ireland TWG 22 Curricular Resources and Task Design in Mathematics Education:
Paper presentations


Critical incidents as a structure promoting prospective secondary mathematics teachers’ noticing Giorgos Psycharis*, Despina Potari National and Kapodistrian University of Athens, Greece TWG 19 Mathematics Teacher and Classroom Practices:
Paper presentations


Crossnational study of lower secondary mathematics teachers’ content knowledge in USA and Russia Mourat Tchoshanov*^{1}, Maria Cruz Quinones^{2}, Kadriya Shakirova^{3}, Elena Ibragimova^{3}, Liliana Shakirova^{3} ^{ 1}University of Texas at El Paso, USA, ^{ 2}Universidad Autónoma de Cuidad Juárez, Mexico, ^{ 3}Kazan Federal University, Russia TWG 11 Comparative Studies in Mathematics Education:
Paper presentations


Cultural diversity as resource or obstacle for teaching practices in multicultural milieu: an experience of training course for Italian teachers about Chinese Shuxue Benedetto Di Paola*^{1}, Giovanni Giuseppe Nicosia^{2} ^{ 1}Università degli Studi Palermo, Italy, ^{ 2}ISGEm, RSDDM, I.I.S. Aldini Valeriani Sirani, Italy TWG 10 Diversity and Mathematics Education: Social, Cultural and Political Challenges:
Paper presentations


Culturallyinspired mathematics learning Shipra Sachdeva*, PerOdd Eggen, Halvor Hoveid Norwegian University of Science and Technology, Norway TWG 10 Diversity and Mathematics Education: Social, Cultural and Political Challenges:
Poster presentations


DeafMath: Exploring the influence of sign language on mathematical conceptualization Christina M. Krause University of DuisburgEssen, Germany TWG 9 Mathematics and Language:
Paper presentations


Dealing with large numbers: what is important for students and teachers to know? Christine Chambris^{1,2}, Frédérick Tempier*^{1,2} ^{ 1}LDAR, Laboratoire de didactique André Revuz, France, ^{ 2}Université de CergyPontoise, France TWG 2 Arithmetic and Number Systems:
Paper presentations


Describing a secondary mathematics teacher’s specialised knowledge of functions Dinazar EscuderoAvila^{1}, Eric FloresMedrano^{1}, José Carrillo*^{2} ^{ 1}Benemérita Universidad Autónoma de Puebla, Mexico, ^{ 2}University of Huelva, Spain TWG 20 Mathematics Teacher Knowledge, Beliefs and Identity:
Paper presentations


Descriptive Assessment in primary school mathematics education in Iran: a teacher’s perspectives and practice Ali Akbar Sangari*^{1}, Marja van den HeuvelPanhuizen^{1}, Michiel Veldhuis^{1}, Zahra Gooya^{2} ^{ 1}Utrecht University, The Netherlands, ^{ 2}Shahid Beheshti University, Iran TWG 21 Assessment in Mathematics Education:
Poster presentations


Design research with history in mathematics education Bjørn Smestad University of Oslo and Akershus University College of Applied Sciences, Norway TWG 12 History in Mathematics Education:
Paper presentations


Designing a researchbased detection test for eliciting students' prior understanding on proportional reasoning Linda Ahl Kriminalvården, Sweden TWG 23 Implementation of Research Findings in Mathematics Education:
Paper presentations


Designing and analysing the role of digital resources in supporting formative assessment processes in the classroom: the helping worksheets Annalisa Cusi*^{1}, Francesca Morselli^{2}, Cristina Sabena^{1} ^{ 1}University of Turin, Italy, ^{ 2}University of Genoa, Italy TWG 21 Assessment in Mathematics Education:
Paper presentations


Designing for responsibility and authority in experiment based instruction in mathematics: The case of reasoning with uncertainty Abdel Mainou Seidouvy*^{1}, Andreas Eckert^{2} ^{ 1}School of Science and Technology (Örebro University), Sweden, ^{ 2}Departenment of Mathematics (Linnaeus University), Sweden TWG 22 Curricular Resources and Task Design in Mathematics Education:
Paper presentations


Developing a classification scheme of definitions of Fermi problems in education from a modelling perspective Jonas Bergman Ärlebäck*^{1}, Lluís Albarracín^{2} ^{ 1}Linköping University, Sweden, ^{ 2}Universitat Autònoma de Barcelona, Spain TWG 6 Applications and Modelling:
Paper presentations


Developing conceptual knowledge by using ICT on mathematics lessons Maria Slavickova Comenius University in Bratislava, Faculty of Mathematics, Physics and Informatics, Slovakia TWG 14 University Mathematics Education:
Poster presentations


Developing student teachers' professional knowledge about learning difficulties by "learningteachinglaboratories" Ralf Benölken University of Münster, Germany TWG 20 Mathematics Teacher Knowledge, Beliefs and Identity:
Paper presentations


Development of the discourse of rational numbers Aya Steiner University of Haifa, Israel TWG 2 Arithmetic and Number Systems:
Paper presentations


Diagrams and mathematical events: Encountering spatiotemporal relationships with graphing technology Francesca Ferrara, Giulia Ferrari* University of Torino, Italy TWG 24 Representations in Mathematics Teaching and Learning:
Paper presentations


Diagrams in students' proving activity in secondary school geometry Keith Jones*^{1}, Kotaro Komatsu^{2,1} ^{ 1}University of Southampton, UK, ^{ 2}Shinshu University, Japan TWG 4 Geometry:
Poster presentations


Dialogic proceses in collective geometric thinking: a case of defining and classifying quadrilaterals Taro Fujita*, Jonathan Doney, Rupert Wegerif University of Exeter, UK TWG 4 Geometry:
Paper presentations


Didactic assessment over a final work of a master for mathematics teachers in service Adriana Breda*^{1}, Luis PinoFan^{1}, Vicenç Font^{2}, Valderez Lima^{3} ^{ 1}Universidad de Los Lagos, Chile, ^{ 2}Universitat de Barcelona, Spain, ^{ 3}Pontificia Universidade Catolica do Rio Grande do Sul, Brazil TWG 20 Mathematics Teacher Knowledge, Beliefs and Identity:
Paper presentations


Didactic transposition in school algebra: The case of writing equations of parallel and perpendicular lines Valentina Postelnicu Texas A&M University, USA TWG 3 Algebraic Thinking:
Paper presentations


Didactical activities to engineering training: methodological proposal Avenilde Romo*^{1}, Santiago Tolentino^{1}, Rebeca RomoVázquez^{2} ^{ 1}Instituto Nacional Politécnico, Mexico, ^{ 2}Universidad de Guadalajara, Mexico TWG 6 Applications and Modelling:
Paper presentations


Differences in the forms of content teachers are seen to offer over time: Identifying opportunities for teacher growth Nick Andrews University of Oxford, UK TWG 20 Mathematics Teacher Knowledge, Beliefs and Identity:
Paper presentations


Discovering regularities in a geometrical objects environment Bozena MajTatsis*, Ewa Swoboda University of Rzeszow, Poland TWG 13 Early Years Mathematics:
Paper presentations


Discursive shifts from school to university mathematics and lecturer assessment practices: Commognitive conflicts regarding variables Athina Thoma*, Elena Nardi University of East Anglia, UK TWG 14 University Mathematics Education:
Paper presentations


Discussing school mathematical narratives in early childhood future teacher education Yuly Vanegas*^{1}, Joaquin Giménez^{2}, Marjorie Samuel^{3} ^{ 1}Universitat Autónoma de Barcelona, Spain, ^{ 2}Universitat de Barcelona, Spain, ^{ 3}Universidad Católica del Maule, Chile TWG 13 Early Years Mathematics:
Paper presentations


Diversity in an inclusive mathematics classroom. Helena Roos Linnaeus University, Sweden TWG 10 Diversity and Mathematics Education: Social, Cultural and Political Challenges:
Paper presentations


Do attitudes toward statistics change during an introductory statistics course? A study on Italian psychology students Francesca Chiesi*, Caterina Primi University of Florence, Italy TWG 5 Probability and Statistics Education:
Paper presentations


Documentational trajectory: a tool for analysing the genesis of a teacher's resource system across her collective work Katiane De Moraes Rocha*, Luc Trouche École normale supérieure de Lyon, France TWG 22 Curricular Resources and Task Design in Mathematics Education:
Paper presentations


Documenting metacognitive activity in qualitative interviews with high school graduates Sebastian Mungenast Wuerzburg University, Germany TWG 8 Affect and Mathematical Thinking:
Poster presentations


Double perspective taking processes of primary children  adoption and application of a psychological instrument Cathleen Heil Leuphana University, Institute of Mathematics and its Didactics, Germany TWG 4 Geometry:
Paper presentations


Early years mathematics learning  Comparing traditional and inclusive classroom settings Andrea PeterKoop, Miriam Lüken* Bielefeld University, Germany TWG 13 Early Years Mathematics:
Poster presentations


Educating to rationality in a narrative context: an experimentation Gemma Carotenuto*^{1}, Cristina Coppola^{2}, Roberto Tortora^{3} ^{ 1}Università degli Studi di Salerno, Italy, ^{ 2}Università degli Studi di Salerno, Italy, ^{ 3}Università Federico II, Italy TWG 9 Mathematics and Language:
Paper presentations


Effect of GeoGebra collaborative and iterative professional development on inservice secondary mathematics teachers' practices Houssam ElKasti*^{1}, Murad Jurdak^{2} ^{ 1}Lebanese University, Lebanon, ^{ 2}American University of Beirut, Lebanon TWG 15 Teaching Mathematics with Technology and Other Resources:
Paper presentations


Effects of linguistic variations of word problems on the achievement in high stakes tests Sabine Schlager*, Jana Kaulvers, Andreas Büchter University of DuisburgEssen, Germany TWG 9 Mathematics and Language:
Paper presentations


Emerging and developing multiplicative structure in lowattaining students' representational strategies: Four key representation types Carla Finesilver King's College London, UK TWG 24 Representations in Mathematics Teaching and Learning:
Paper presentations


Emotions and problem solving by prospective primary school teachers Gareth Lewis University of Leicester, UK TWG 8 Affect and Mathematical Thinking:
Paper presentations


Enactive metaphors in mathematical problem solving Daniela DiazRojas^{2}, Jorge SotoAndrade*^{1,2} ^{ 1}University of Chile Faculty of Science Dept. of Mathematics, Chile, ^{ 2}CIAE, Chile TWG 24 Representations in Mathematics Teaching and Learning:
Paper presentations


Engineering mathematics between competence and calculation Birgit Griese^{1}, Michael Kallweit*^{2} ^{ 1}Paderborn University, Germany, ^{ 2}RuhrUniversität Bochum, Germany TWG 14 University Mathematics Education:
Paper presentations


Enhancing formative assessment in mathematical class discussion: a matter of feedback Annalisa Cusi^{1}, Francesca Morselli*^{2}, Cristina Sabena^{1} ^{ 1}Università di Torino, Italy, ^{ 2}Università di Genova, Italy TWG 21 Assessment in Mathematics Education:
Paper presentations


Enhancing statistical literacy Marianne van DijkeDroogers*^{2,1}, Paul Drijvers^{1}, Jos Tolboom^{3} ^{ 1}Utrecht University, The Netherlands, ^{ 2}Csg Prins Maurits, The Netherlands, ^{ 3}SLO, The Netherlands TWG 5 Probability and Statistics Education:
Paper presentations


Ensuring methodological rigor for investigating the discourse development of bilingual mathematics learners Máire Ní Ríordáin*^{1}, Eilís Flanagan^{2}, Claire Brilly^{2} ^{ 1}University College Cork, Ireland, ^{ 2}National University of Ireland, Galway, Ireland TWG 9 Mathematics and Language:
Paper presentations


Entering the mathematical register through evolution of the material milieu for classification of polygons Frode Rønning*, Heidi Strømskag Norwegian University of Science and Technology, Norway TWG 9 Mathematics and Language:
Paper presentations


Epistemic and semiotic perspectives in the analysis of the use of digital tools for solving optimization problems in the case of distance teacher education Veronica Hoyos National Pedagogical University, Mexico, Mexico TWG 24 Representations in Mathematics Teaching and Learning:
Paper presentations


Epistemological and institutional study of algebra in secondary school: the semiotic, semantic and syntactic point of view Samia Achour*^{1}, Rahim Kouki^{2}, Ali Selmi^{3} ^{ 1}Université de Tunis, Tunisia, ^{ 2}Université de Tunis El Manar, Tunisia, ^{ 3}Université de Tunis, Tunisia TWG 3 Algebraic Thinking:
Poster presentations


Errors or didactic resources: the design of a teacher education task in the context of Probability Laura Afeltra^{2}, Maria Mellone^{1}, Piera Romano*^{3}, Roberto Tortora^{1} ^{ 1}University of Naples "Federeico II", Italy, ^{ 2}Liceo Scientifico “L. Einaudi”, Italy, ^{ 3}Liceo Scientifico Statale “Mons. B. Mangino”, Italy TWG 5 Probability and Statistics Education:
Paper presentations


Evaluation of a discovery, inquiry and projectbased learning program Hanna Gärtner*, Matthias Ludwig GoetheUniversity, Germany TWG 18 Mathematics Teacher Education and Professional Development:
Paper presentations


Evaluation of a rating system for the assessment of metacognitivediscursive instructional quality Edyta Nowińska*^{1}, AnnaKatharina Praetorius^{2} ^{ 1}Osnabrück University, Germany, ^{ 2}German Institute for International Educational Research, Germany TWG 19 Mathematics Teacher and Classroom Practices:
Paper presentations


Evolution of proof form in Japanese geometry textbooks Marion Cousin^{1}, Takeshi Miyakawa*^{2} ^{ 1}Lyons Institute of East Asian Studies, France, ^{ 2}Joetsu University of Education, Japan TWG 1 Argumentation and Proof:
Paper presentations


Examining difficulties in initial algebra: Prerequisite and algebra content areas for Irish postprimary students. Aoife O'Brien*^{1}, Máire Ní Ríordáin^{2} ^{ 1}National University of Ireland, Galway, Ireland, ^{ 2}University College Cork, Ireland TWG 21 Assessment in Mathematics Education:
Paper presentations


Examining motivation in mobile appsupported math trail environments Adi Nur Cahyono^{1,2}, Matthias Ludwig*^{1} ^{ 1}Goethe University Frankfurt, Germany, ^{ 2}Semarang State University, Indonesia TWG 16 Learning Mathematics with Technology and Other Resources:
Paper presentations


Examining the role of group work as an effective instructional strategy when teaching problem solving Eamonn Clohessy, Patrick Johnson* University of Limerick, Ireland TWG 6 Applications and Modelling:
Paper presentations


Examples of didactical plans that use Information and Communication Technologies in order to enlarge students' roles in learning and teaching JeanJacques Salone^{1,2} ^{ 1}Centre Universitaire de Formation et de Recherche, French Southern Territories, ^{ 2}Institut Montpélliérain Alexandre Grothendieck, France TWG 16 Learning Mathematics with Technology and Other Resources:
Paper presentations


Explanations as tools for evaluating content knowledge for teaching: A crossnational pilot study in Cyprus and Greece Constantinos Xenofontos*^{1}, Paul Andrews^{2} ^{ 1}University of Nicosia, Cyprus, ^{ 2}Stockholm University, Sweden TWG 11 Comparative Studies in Mathematics Education:
Paper presentations


‘Explicit teaching' as an effective method of acquiring problem solving strategies  The case of ‘working backwards' Miriam Amit*, Yelena PortnovNaaman Ben Gurion University, Israel TWG 23 Implementation of Research Findings in Mathematics Education:
Paper presentations


Exploratory study of teacher's interventions in a modelling task Irene Ferrando*, Paula Donat, Pascual Diago, Luis Puig Universitat de València, Spain TWG 6 Applications and Modelling:
Paper presentations


Exploring a framework for technology integration in the mathematics classroom Patrik Gustafsson Mälardalen University, Sweden TWG 15 Teaching Mathematics with Technology and Other Resources:
Paper presentations


Exploring affective reactions of children to Scratch programming and mathematics: the case of Kim Johanna Carvajal UCL Institute of Education, UK TWG 8 Affect and Mathematical Thinking:
Poster presentations


Exploring daily emotions of a mathematics teacher in classroom: Case of Christian Gustavo Martinez Sierra*^{1}, Yuridia ArellanoGarcía^{1}, Antonia HernándezMoreno^{1}, Cristian NavaGuzmán^{2} ^{ 1}Research Centre of Mathematics Education, Mathematics Faculty, Autonomous University of Guerrero, Mexico, ^{ 2}Autonomous University of Hidalgo, Mexico TWG 8 Affect and Mathematical Thinking:
Paper presentations


Exploring Roma learning mathematics: a sociomathematical view Javier DiezPalomar University of Barcelona, Spain TWG 10 Diversity and Mathematics Education: Social, Cultural and Political Challenges:
Paper presentations


Exploring tensions in a mathematical course for engineers utilizing a flipped classroom approach Helge Fredriksen*^{1,2}, Said Hadjerrouit^{1}, John Monaghan^{1}, Ragnhild J. Rensaa^{2} ^{ 1}University of Agder, Norway, ^{ 2}UiT  The Arctic University of Norway, Norway TWG 14 University Mathematics Education:
Paper presentations


Exploring the types of tools used by engineering undergraduates Marinos Anastasakis*, Carol Robinson, Stephen Lerman Loughborough University, UK TWG 14 University Mathematics Education:
Paper presentations


Factors impacting on the collaborative design of digital resources Nataly Essonnier*^{1}, Berta Barquero^{2}, Christian Mercat^{1}, Mohamed ElDemerdash^{1,3}, Jana Trgalova^{1}, Mario Barajas^{2}, Pedro Lealdino Filho^{1} ^{ 1}University Claude Bernard Lyon 1, France, ^{ 2}University of Barcelona, Spain, ^{ 3}Menoufia University, Egypt TWG 22 Curricular Resources and Task Design in Mathematics Education:
Paper presentations


Factors influencing the developing effectiveness of early career teachers' mathematics teaching  initial findings Alison Godfrey University of Leicester, UK TWG 18 Mathematics Teacher Education and Professional Development:
Paper presentations


‘Father Woodland': A learning environment to facilitate the development of algebraic thinking Ioannis Papadopoulos*, Nafsika Patsiala Aristotle University of Thessaloniki, Greece TWG 3 Algebraic Thinking:
Paper presentations


Fifth grade students construct decimal number through measurement activities Azam Karimianzade^{1}, Abolfazl Rafiepour*^{2} ^{ 1}Kerman Math House, Iran, ^{ 2}Shahid Bahonar University of Kerman, Iran TWG 6 Applications and Modelling:
Paper presentations


Finnish educators’ conceptions of the socialemotional needs of mathematically gifted high school students Eeva Haataja*, Anu Laine University of Helsinki, Finland TWG 8 Affect and Mathematical Thinking:
Paper presentations


Finnish teaching materials in the hands of a Swedish teacher: The telling case of Cecilia Tuula Koljonen Malardalen University, Sweden TWG 11 Comparative Studies in Mathematics Education:
Paper presentations


First year student teachers dealing with nonroutine questions in the context of the entrance examination to a degree in Primary Education Aitor Villarreal*, Lluís Albarracín, Núria Gorgorió Universitat Autònoma de Barcelona, Spain TWG 20 Mathematics Teacher Knowledge, Beliefs and Identity:
Paper presentations


Focusing on the ‘middle ground’ of example spaces in primary mathematics teaching development in South Africa Hamsa Venkat*^{1,2}, Mike Askew^{1} ^{ 1}Wits School of Education, University of the Witwatersrand, South Africa, ^{ 2}School of Education and Communication, Jönköping University, Sweden, ^{ 3}Faculty of Education, Monash University, Australia TWG 19 Mathematics Teacher and Classroom Practices:
Paper presentations


Formative assessment  and the component of Adjusted Teacher Instruction Catarina Andersson Umeå University, Sweden TWG 21 Assessment in Mathematics Education:
Paper presentations


Fostering and investigating students' pathways to formal reasoning: A design research project on structural scaffolding for 9th graders Kerstin Hein*, Susanne Prediger TU Dortmund University, Germany TWG 1 Argumentation and Proof:
Paper presentations


Fostering of interdisciplinary learning through basic education in computer science in mathematics in primary education. Peter Ludes*, Marcus Schütte Technical University of Dresden, Germany TWG 9 Mathematics and Language:
Paper presentations


Fostering rational numbers understanding through percentage Helena Gil Guerreiro*^{1}, Lurdes Serrazina^{2} ^{ 1}Agrupamento de Escolas Braamcamp Freire, UIDEF, Instituto de Educação, Universidade de Lisboa, Portugal, ^{ 2}Escola Superior de Educação de Lisboa, UIDEF, Instituto de Educação, Universidade de Lisboa, Portugal TWG 2 Arithmetic and Number Systems:
Paper presentations


French engineers' training and their mathematical needs in the workplace: interlinking tools and reasoning PierreVincent Quéré^{1,2} ^{ 1}Université de Bretagne Loire, France, ^{ 2}CREAD, France TWG 14 University Mathematics Education:
Paper presentations


Freshmen engineering students: are they all the same? Chiara Andra', Laura Branchetti, Domenico Brunetto* Politecnico di Milano, Italy TWG 14 University Mathematics Education:
Paper presentations


From emergency sirens to birdsong Elisabeta Eriksen*^{1}, Bjørn Smestad^{1}, Annette Hessen Bjerke^{1}, Camilla Rodal^{1}, Yvette Solomon^{2,1} ^{ 1}Oslo and Akershus University College of Applied Sciences, Norway, ^{ 2}Manchester Metropolitan University, UK TWG 18 Mathematics Teacher Education and Professional Development:
Paper presentations


From paper and pencil to Computerbased assessment: some issues raising in the comparison Alice Lemmo*^{1}, Maria Alessandra Mariotti^{2} ^{ 1}Università di Palermo, Italy, ^{ 2}Università di Siena, Italy TWG 21 Assessment in Mathematics Education:
Paper presentations


From practical to theoretical thinking: The impact of the roleplay activity Anna Pierri University of Salerno, Italy TWG 9 Mathematics and Language:
Paper presentations


From ritual to exploration: the evolution of biology students' mathematical discourse through mathematical modelling activities Olov Viirman*^{1}, Elena Nardi^{2} ^{ 1}University of Agder, Norway, ^{ 2}University of East Anglia, UK TWG 14 University Mathematics Education:
Paper presentations


From textbook to classroom: a research on teachers’ use of pedagogical resources in the context of primary school in the French speaking part of Switzerland Audrey Daina^{1,2} ^{ 1}Université de Genève, Switzerland, ^{ 2}HEP Vaud, Switzerland TWG 22 Curricular Resources and Task Design in Mathematics Education:
Paper presentations


From theory through collaboration into practice: designing a problem solving curriculum for grade 6 students Ana Kuzle University of Potsdam, Germany TWG 23 Implementation of Research Findings in Mathematics Education:
Paper presentations


From theory to praxis Lisser Rye Ejersbo*^{1}, Morten Misfeldt^{2} ^{ 1}Aarhus University, Denmark, ^{ 2}Aalborg University, Denmark TWG 23 Implementation of Research Findings in Mathematics Education:
Paper presentations


Functional thinking and generalisation in third year of primary school Eder Pinto*, María C. Cañadas University of Granada, Spain TWG 3 Algebraic Thinking:
Paper presentations


Functions: implicit Vivica Zweidar University of Bremen, Germany TWG 9 Mathematics and Language:
Paper presentations


Future mathematics teachers noticing mathematics: knowledgebased reasoning Naďa Vondrová*^{1}, Jarmila Robová^{2} ^{ 1}Charles University, Faculty of Education, Czech Republic, ^{ 2}Charles University, Faculty of Mathematics and Physics, Czech Republic TWG 20 Mathematics Teacher Knowledge, Beliefs and Identity:
Paper presentations


Geometric constructions in a dynamic environment (GeoGebra): the case of inservice teachers Dorit Cohen*, Anatoli Kouropatov, Regina Ovodenko, Maureen Hoch, Sara Hershkovitz Center for Educational Technology, Israel TWG 4 Geometry:
Paper presentations


Geometric modelling inspired by Da Vinci: shaping and adding movement using technology and physical resources Diego Lieban*^{1,2}, Zsolt Lavicza^{1} ^{ 1}Johannes Kepler University, Austria, ^{ 2}Federal Institute of Education, Science and Technology, Brazil TWG 6 Applications and Modelling:
Paper presentations


Getting into university: From foundation to first year engineering Stephanie TreffertThomas Loughborough University, UK TWG 14 University Mathematics Education:
Poster presentations


Getting language awareness: A curriculum for language and language teaching for preservice studies for teachers of mathematics Carina Rauf*, Barbara SchmidtThieme Universitiy of Hildesheim, Germany TWG 9 Mathematics and Language:
Poster presentations


Grade 6 students' abilities to represent functional relationships Isil Isler*^{1}, Susanne Strachota^{2}, Ana Stephens^{3}, Nicole Fonger^{4}, Maria Blanton^{5}, Angela Gardiner^{6}, Eric Knuth^{7} ^{ 1}Middle East Technical University, Turkey, ^{ 2}University of WisconsinMadison, USA, ^{ 3}University of WisconsinMadison, USA, ^{ 4}University of WisconsinMadison, USA, ^{ 5}TERC, USA, ^{ 6}TERC, USA, ^{ 7}University of WisconsinMadison, USA TWG 3 Algebraic Thinking:
Paper presentations


Graphing logarithmic functions: Multiple interpretations of logarithms as a basis for understanding Christof Weber School of Education, University of Applied Sciences Northwestern Switzerland, Switzerland TWG 3 Algebraic Thinking:
Paper presentations


Grundvorstellungen and their application to the concept of extreme points AnnaKatharina Roos University of Würzburg, Germany TWG 17 Theoretical Perspectives and Approaches in Mathematics Education Research:
Paper presentations


Heuristic strategies in mathematics teacher education Peter Stender University of Hamburg, Germany TWG 14 University Mathematics Education:
Poster presentations


Hide and think: Limiting the obvious and challenging the mind in geometry Chrysi Papadaki University of Bremen, Germany TWG 4 Geometry:
Paper presentations


Hierarchical and nonhierarchical clustering methods to study students algebraic thinking in solving an openended questionnaire Benedetto Di Paola*, Onofrio Rosario Battaglia, Claudio Fazio Università degli Studi di Palermo, Italy TWG 3 Algebraic Thinking:
Poster presentations


High school students' first experiences with the sampling distribution: toward a distributive perspective of sampling and inference Eleazar Silvestre Castro*, Ernesto Sanchez Centro de Investigación y de Estudios Avanzados del Instituto Politécnico Nacional, Mexico TWG 5 Probability and Statistics Education:
Paper presentations


Historical methods for drawing anaglyphs in geometry teaching Ysette Weiss^{2}, Rainer Kaenders*^{1} ^{ 1}University of Bonn, Germany, ^{ 2}University of Mainz, Germany TWG 12 History in Mathematics Education:
Paper presentations


How are Calculus notions used in engineering? An example with integrals and bending moments Alejandro S. GonzálezMartín*, Gisela HernandesGomes Université de Montréal, Canada TWG 14 University Mathematics Education:
Paper presentations


How do preschool teachers characterize their own mathematics teaching in terms of design and content? Hanna Palmér*^{1}, Camilla Björklund^{2} ^{ 1}Linnaeus University, Sweden, ^{ 2}University of Gothenburg, Sweden TWG 13 Early Years Mathematics:
Paper presentations


How do prospective teachers imagine mathematical discussions on fraction comparison? Kristin Krogh Arnesen*, Ole Enge, Yvonne Grimeland, Torkel Haugan Hansen Norwegian University of Science and Technology, Norway TWG 20 Mathematics Teacher Knowledge, Beliefs and Identity:
Paper presentations


How do students develop lexical means for understanding the concept of relative frequency? Empirical insights on the basis of trace analyses Lena Wessel TU Dortmund University, Germany TWG 9 Mathematics and Language:
Paper presentations


How lowerachieving children cope with derived factsbased teaching of basic multiplication: Findings from a design research study Michael Gaidoschik*^{1}, Kora Maria Deweis^{2}, Silvia Guggenbichler^{3} ^{ 1}Free University of Bozen/Bolzano, Italy, ^{ 2}Alpen Adria University Klagenfurt, Austria, ^{ 3}University College of Teacher Education Carinthia, Austria TWG 2 Arithmetic and Number Systems:
Paper presentations


How mathematicians conjecture and prove: an approach from mathematics education Aurora FernándezLeón*, Rocío ToscanoBarragán, José María GavilánIzquierdo University of Seville, Spain TWG 14 University Mathematics Education:
Paper presentations


How middle grade students explain ordering statements within real life situation? An example of temperature context Aysenur Yilmaz*, Mine Isiksal Bostan Middle East Technical University, Turkey TWG 2 Arithmetic and Number Systems:
Paper presentations


How Sámi teachers’ development of a teaching unit influences their selfdetermination Anne Birgitte Fyhn*^{1}, Tamsin Meaney^{2}, Kristine Nystad^{3}, Ylva Jannok Nutti^{4} ^{ 1}UiTThe Arctic University of Norway, Norway, ^{ 2}Bergen University College, Norway, ^{ 3}University of Oslo, Norway, ^{ 4}Sami university of applied sciences, Norway TWG 10 Diversity and Mathematics Education: Social, Cultural and Political Challenges:
Paper presentations


How the representations take on a key role in an inclusive educational sequence concerning fraction Elisabetta Robotti Università degli Studi di Torino, Dipartimento di Filosofia e Scienze dell’Educazione, Italy TWG 24 Representations in Mathematics Teaching and Learning:
Paper presentations


How to deal with learning difficulties related to functions  assessing teachers' knowledge and introducing a coaching Ute Sproesser*^{1}, Markus Vogel^{1}, Tobias Dörfler^{1}, Andreas Eichler^{2} ^{ 1}University of Education, Germany, ^{ 2}University, Germany TWG 18 Mathematics Teacher Education and Professional Development:
Paper presentations


How to design educational material for inclusive classes Anna Noll*^{1}, Jürgen Roth^{1}, Markus Scholz^{2} ^{ 1}University of KoblenzLandau, Campus Landau, Germany, ^{ 2}University of Education Ludwigsburg, Germany TWG 22 Curricular Resources and Task Design in Mathematics Education:
Poster presentations


How we can begin to overcome students’ difficulties in reading mathematical texts Anja Panse*, Zain Shaikh Universität Paderborn, Germany TWG 14 University Mathematics Education:
Paper presentations


“I think that practice makes perfect”: Chinese parents' experiences of supporting their children's school mathematics learning in England Tess Bloomfield, Guida de Abreu* Oxford Brookes University, UK TWG 10 Diversity and Mathematics Education: Social, Cultural and Political Challenges:
Paper presentations


Identifying and assessing quality criteria for dynamic mathematics materials on platforms Barbara Kimeswenger Private University College of Education of the Diocese of Linz, Austria TWG 15 Teaching Mathematics with Technology and Other Resources:
Paper presentations


Identifying discussion patterns of teaching assistants in mathematical tutorials in Germany Juliane Püschl University of Paderborn, Germany TWG 14 University Mathematics Education:
Paper presentations


Identifying key visualcognitive processes in students' interpretation of graph representations using eyetracking data and math/machine learning based data analysis Enrique Garcia MorenoEsteva*^{1}, Sonia White^{2}, Joanne Wood^{2}, Alexander Black^{2} ^{ 1}University of Helsinki, Dept. of Teacher Education, Finland, ^{ 2}Queensland University of Technology, Australia TWG 24 Representations in Mathematics Teaching and Learning:
Paper presentations


Identifying phases and activities in the proving process of firstyear undergraduates Katharina Kirsten University of Münster, Germany TWG 1 Argumentation and Proof:
Poster presentations


Identifying subgroups of CERME affect research papers Markku S. Hannula*, Enrique Garcia MorenoEsteva University of Helsinki, Finland TWG 8 Affect and Mathematical Thinking:
Paper presentations


Identifying the reasons behind students’ engagement patterns Emma Howard*, Maria Meehan, Andrew Parnell University College Dublin, Ireland TWG 16 Learning Mathematics with Technology and Other Resources:
Poster presentations


Implementation enterprise through the lens of a theory of diffusion of innovations: A case of online problemsolving forums Boris Koichu*, Nelly Keller Technion  Israel Institute of Technology, Israel TWG 23 Implementation of Research Findings in Mathematics Education:
Paper presentations


Implementing the statistical investigative process with real data: Effects on education in secondary schools Martin Andre^{1,2} ^{ 1}Pädagogische Hochschule Tirol, Austria, ^{ 2}Johannes Kepler Universität, Austria TWG 5 Probability and Statistics Education:
Poster presentations


Implicit and explicit processes of establishing explaining practices  Ambivalent learning opportunities in classroom discourse Kirstin Erath TU Dortmund University, Germany TWG 9 Mathematics and Language:
Paper presentations


Importance and possibility of integrating gender competence as a key qualification in mathematics teacher education Anina Mischau*^{1,2}, Katja Eilerts^{2} ^{ 1}Freie Universität Berlin, Germany, ^{ 2}HumboldtUniverstität zu Berlin, Germany TWG 10 Diversity and Mathematics Education: Social, Cultural and Political Challenges:
Paper presentations


In what ways do lecturers receive and use feedback from large first year mathematics classes? Anthony Cronin*, Maria Meehan UCD, Ireland TWG 14 University Mathematics Education:
Poster presentations


Incepted neoliberal dreams in school mathematics and the ‘Chilean experience’ Melissa AndradeMolina Aalborg University, Denmark TWG 10 Diversity and Mathematics Education: Social, Cultural and Political Challenges:
Paper presentations


Incorporating mathematical problem solving in the Chilean school curriculum Eugenio Chandia*^{1}, Maria Luz Montes^{2} ^{ 1}Universidad de Chile, Chile, ^{ 2}SIP, Chile TWG 23 Implementation of Research Findings in Mathematics Education:
Poster session


Informal statistical inference and preservice primary school teachers: the development of their content knowledge and pedagogical content knowledge during a teacher college intervention Arjen De Vetten*^{1,2}, Judith Schoonenboom^{3}, Ronald Keijzer^{2,4}, Bert Van Oers^{1} ^{ 1}Vrije Universiteit Amsterdam, The Netherlands, ^{ 2}Hogeschool iPabo, The Netherlands, ^{ 3}University of Vienna, Austria, ^{ 4}Utrecht University, The Netherlands TWG 5 Probability and Statistics Education:
Paper presentations


Innovating teachers' practices: potentiate the teaching of mathematics through experimental activities Maria Cristina Costa*^{1}, António Domingos^{2} ^{ 1}Instituto Politécnico de Tomar, Portugal, ^{ 2}Faculdade de Ciências e Tecnologia, Universidade Nova de Lisboa, Portugal TWG 18 Mathematics Teacher Education and Professional Development:
Paper presentations


Inquirybased teaching approach in mathematics by using the history of mathematics: a case study Areti Panaoura Frederick University, Cyprus TWG 12 History in Mathematics Education:
Paper presentations


Insights from students’ reasoning about probability when they design their own scratch games Efi Paparistodemou*^{1}, Maria MeletiouMavrotheris^{2}, Christina Vasou^{2} ^{ 1}Cyprus Pedagogical Institute, Cyprus, ^{ 2}European University of Cyprus, Cyprus TWG 5 Probability and Statistics Education:
Paper presentations


Insights into the approaches of young children when making informal inferences about data Aisling Leavy*^{1}, Finbarr Sloane^{2} ^{ 1}Mary Immaculate College, Ireland, ^{ 2}National Science Foundation, USA TWG 5 Probability and Statistics Education:
Paper presentations


Integrating critical theory and practice in mathematics education: A case study of the Reclaiming Schools movement in the UK David Swanson*, Laura Black University of Manchester, UK TWG 10 Diversity and Mathematics Education: Social, Cultural and Political Challenges:
Paper presentations


Integrating teachers institutional and informal mathematics education: the case of ‘Progetto ArAl’ group in Facebook Nicolina A. Malara*^{1}, Giancarlo Navarra^{2} ^{ 1}University of Modena & Reggio E., Italy, ^{ 2}University of Mdena 6 Reggio E., Italy TWG 18 Mathematics Teacher Education and Professional Development:
Paper presentations


Interactive mathematical maps for defragmentation AnnaMaria Schwarz, Matthias Brandl*, Tobias Kaiser, Andreas Datzmann University of Passau, Germany TWG 14 University Mathematics Education:
Poster presentations


Interactive Virtual Math: a tool to support selfconstruction graphs by dynamical relations Sonia Palha*, Stephan Koopman 1Universty of Applied Sciences of Amsterdam, The Netherlands TWG 16 Learning Mathematics with Technology and Other Resources:
Paper presentations


Intermediate mathematics teachers’ experiences of teachable moments Amanjot Toor*, Joyce Mgombelo Brock University, Canada TWG 20 Mathematics Teacher Knowledge, Beliefs and Identity:
Poster presentations


Intertwining noticing and knowledge in video analysis of self practice: the case of Carla Miguel Ribeiro*^{1}, Edelmira Badillo^{2}, Glória SánchezMatamoros^{3}, Miguel Montes^{4}, Genaro de Gamboa^{2} ^{ 1}UNICAMP, Brazil, ^{ 2}University Autònoma of Barcelona, Spain, ^{ 3}University of Sevilla, Spain, ^{ 4}University of Huelva, Spain TWG 20 Mathematics Teacher Knowledge, Beliefs and Identity:
Paper presentations


Introduction to equation solving for a new generation of algebra learners AnnSofi RöjLindberg*^{1}, AnnaMaija Partanen^{2}, Kirsti Hemmi^{1,3} ^{ 1}Åbo Akademi University, Finland, ^{ 2}University of Lapland, Finland, ^{ 3}Uppsala University, Sweden TWG 3 Algebraic Thinking:
Paper presentations


Investigating Lesson Study as a practicebased approach to study the development of mathematics teachers' professional practice Anita Tyskerud*, Janne Fauskanger, Reidar Mosvold, Raymond Bjuland Faculty of Arts and Education, Norway TWG 20 Mathematics Teacher Knowledge, Beliefs and Identity:
Paper presentations


Investigating potential improvements of mathematics student teachers' instruction from Lesson Study Reidar Mosvold, Raymond Bjuland*, Janne Fauskanger University of Stavanger, Norway TWG 18 Mathematics Teacher Education and Professional Development:
Paper presentations


Investigating students' difficulties with differential equations in physics Diarmaid Hyland*, Paul van Kampen, Brien Nolan Dublin City University, Ireland TWG 14 University Mathematics Education:
Poster presentations


Investigating the discursive shift in the learning of Group Theory: Analysis of some interdiscursive commognitive conflicts Marios Ioannou University of the West of England (Alexander College), Cyprus TWG 14 University Mathematics Education:
Paper presentations


Investigating the integration of a digital resource in the mathematics classroom: the case of a creative electronic book on Reflection Eirini Geraniou*^{1}, Manolis Mavrikis^{2} ^{ 1}University College London Institute of Education, UK, ^{ 2}University College London Knowledge Lab, UK TWG 16 Learning Mathematics with Technology and Other Resources:
Paper presentations


Ireland's Junior Certificate mathematics examination through the lens of the PISA and TIMSS frameworks: Has Project Maths made any difference? Rachel Cunningham*, Seán Close, Gerry Shiel Educational Research Centre, St. Patrick's College Campus, Ireland TWG 21 Assessment in Mathematics Education:
Paper presentations


Is teacher knowledge affecting students' transition from primary to second level mathematics education? Niamh O'Meara*^{1}, Mark Prendergast^{2}, Lorraine Harbison^{3}, Clare O'Hara^{4} ^{ 1}EPISTEM, University of Limerick, Ireland, ^{ 2}Trinity College Dublin, Ireland, ^{ 3}CASTeL, Dublin City University, Ireland, ^{ 4}Central Statistics Office, Ireland TWG 20 Mathematics Teacher Knowledge, Beliefs and Identity:
Paper presentations


Issues of a quasilongitudinal study on different types of argumentation in the context of division by zero Christian Fahse University of KoblenzLandau, Germany TWG 1 Argumentation and Proof:
Paper presentations


"It is only a test"  social aspects of displaying knowledge in mathematics for Second Language Learners (SLL) Anette Bagger Department of Applied Educational Science, Sweden TWG 10 Diversity and Mathematics Education: Social, Cultural and Political Challenges:
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‘It's different, it's difficult, it's unknown': letting go of levels Nick Pratt*^{1}, Julie Alderton^{2} ^{ 1}Plymouth University, UK, ^{ 2}University of Cambridge, UK TWG 21 Assessment in Mathematics Education:
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Khan Academy as a resource for preservice teachers: a controlled study James Gray*, Christine Lindstrøm, Kristian Vestli Oslo and Akershus University College of Applied Sciences, Norway TWG 16 Learning Mathematics with Technology and Other Resources:
Paper presentations


Kids Inspiring Kids for STEAM (KIKS) Maitane P. Istúriz*^{1}, Ignacio GonzálezRuiz^{1}, Jose M. DiegoMantecón^{1}, Tomás Recio^{1}, José B. Búa^{2}, Teresa F. Blanco^{2}, María J. González^{1}, Irene Polo^{1} ^{ 1}University of Cantabria, Spain, ^{ 2}University of Santiago de Compostela, Spain TWG 11 Comparative Studies in Mathematics Education:
Poster presentations


Kindergarten children’s argumentation in reflection symmetry: The role of semiotic means Svanhild Breive University of Agder, Norway TWG 13 Early Years Mathematics:
Paper presentations


Language and risk literacy Dianne Kenton Brock University, Canada TWG 9 Mathematics and Language:
Poster presentations


Language in argumentation and solution of problems with graphs Pier Luigi Ferrari Università del Piemonte Orientale, Italy TWG 9 Mathematics and Language:
Paper presentations


Learning mathematics with technology. A review of recent CERME research Ana DonevskaTodorova*^{1}, Jana Trgalova^{2} ^{ 1}HumboldtUniversität zu Berlin, Germany, ^{ 2}University of Lyon, Claude Bernard University Lyon 1, S2HEP (EA4148), France TWG 16 Learning Mathematics with Technology and Other Resources:
Paper presentations


Learning of numerosity through a designed activity with die and towers Reinert Rinvold Hedmark University of Applied Sciences, Norway TWG 13 Early Years Mathematics:
Poster presentations


Learning research in a laboratory classroom: Complementarity and commensurability in juxtaposing multiple interpretive accounts Man Ching Esther Chan*, David Clarke The University of Melbourne, Australia TWG 17 Theoretical Perspectives and Approaches in Mathematics Education Research:
Paper presentations


Learning sine and cosine in french secondary schools Ratha Loeng Paris DiderotParis 7 University, France TWG 4 Geometry:
Paper presentations


Learning through activity: a developing integrated theory of mathematics learning and teaching Martin Simon New York University, USA TWG 17 Theoretical Perspectives and Approaches in Mathematics Education Research:
Paper presentations


Learning to use a protractor: touch screen tablet or not ? Cécile Allard*^{1,2}, Édith Petitfour^{1,3} ^{ 1}LDAR, France, ^{ 2}Université Paris Est Créteil, France, ^{ 3}Université de Rouen, France TWG 4 Geometry:
Paper presentations


Learning with the logic of inquiry: gameactivities inside Dynamic Geometry Environments Carlotta Soldano*, Ferdinando Arzarello University of Turin, Italy TWG 1 Argumentation and Proof:
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Learning with worked examples – how does it work in a real classroom setting? Alexandra Scherrmann University of Education, Germany TWG 23 Implementation of Research Findings in Mathematics Education:
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(Legitimate peripheral) computational thinking in mathematics Laura Broley*^{1}, Chantal Buteau^{2}, Eric Muller^{2} ^{ 1}Concordia University, Canada, ^{ 2}Brock University, Canada TWG 16 Learning Mathematics with Technology and Other Resources:
Paper presentations


Lesson study seen by participants Adriana Richit*^{1,2}, João Pedro Ponte^{2} ^{ 1}Universidade Federal da Fronteira Sul, Brazil, ^{ 2}Universidade de Lisboa, Instituto de Educação, Portugal TWG 20 Mathematics Teacher Knowledge, Beliefs and Identity:
Paper presentations


Levels of analysis of a mathematical modelling activity: beyond the questionsanswers dialectic Berta Barquero*^{1}, Nacho Monreal^{2}, Noemí RuizMunzón^{2} ^{ 1}University of Barcelona, Spain, ^{ 2}Pompeu Fabra University. Escola Superior de Ciències Socials i de l'Empresa – Tecnocampus, Spain TWG 6 Applications and Modelling:
Paper presentations


Longterm learning in mathematics teaching and problematizing daily practice Helén Sterner Dalarna University, Sweden TWG 19 Mathematics Teacher and Classroom Practices:
Paper presentations


Looking for the roots of an argument: textbook, teacher, and student influence on arguments in a traditional Czech classroom Jana Zalska Charles University in Prague, Czech Republic TWG 1 Argumentation and Proof:
Paper presentations


Lower secondary students' experiences of outdoor learning in mathematics  impact on selfregulation and mathematical proficiency Annika Grothérus*, Emilia Fägerstam Linköping University, Sweden TWG 8 Affect and Mathematical Thinking:
Paper presentations


Making distinctions  critical for the learning of the ‘existence' of negative numbers? Exploring how 'instructional products' from a theory informed Lesson study can be shared and enhance student learning Ulla Runesson Kempe*, Anna Lövström, Björn Hellqvist Jönköping University, Sweden TWG 19 Mathematics Teacher and Classroom Practices:
Paper presentations


Making implicit potential explicit key ideas of algebraic thinking in primary school Anna Susanne Steinweg University of Bamberg, Germany TWG 3 Algebraic Thinking:
Paper presentations


Making maps in kindergarten Geir Olaf Pettersen*, Monica Volden UiT The Arctic University of Norway, Norway TWG 13 Early Years Mathematics:
Poster presentations


Making numbers: issues in using manipulatives with young children Sue Gifford*^{1}, Rose Griffiths^{2}, Jenni Back^{2} ^{ 1}University of Roehampton, UK, ^{ 2}University of Leicester, UK TWG 13 Early Years Mathematics:
Paper presentations


Mapping the logics in practice oriented competence development Andreas Lindenskov Tamborg^{1,2}, Benjamin Brink Allsopp^{1}, Simon Skov Fougt^{2}, Morten Misfeldt*^{1} ^{ 1}Aalborg University, Denmark, ^{ 2}Metropolitan University College, Denmark TWG 23 Implementation of Research Findings in Mathematics Education:
Paper presentations


Math centers: A pedagogical tool for student engagement in intermediate math class Amanjot Toor*, Joyce Mgombelo Brock University, Canada TWG 18 Mathematics Teacher Education and Professional Development:
Paper presentations


Math teachers' adventure of ICT integration: from an open online course towards an online teacher community Judith Hohenwarter*^{1}, Selay Arkün Kocadere^{2}, Markus Hohenwarter^{1} ^{ 1}Johannes Kepler University, Austria, ^{ 2}Hacettepe University, Turkey TWG 15 Teaching Mathematics with Technology and Other Resources:
Paper presentations


Math teaching as jazz improvisation: Exploring the ‘highly principled but not determinate’ instructional moves of an expert instructor Alon Pinto University of California, Berkeley, USA TWG 14 University Mathematics Education:
Paper presentations


Mathematical analysis of informal arguments: A casestudy in teachertraining context Renaud Chorlay^{1,2} ^{ 1}ESPE de l'académie de Paris, France, ^{ 2}LDAR  Uni. Paris Diderot, France TWG 12 History in Mathematics Education:
Paper presentations


Mathematical competence at work from different perspectives Uwe Schallmaier*, Maike Vollstedt University of Bremen, Germany TWG 17 Theoretical Perspectives and Approaches in Mathematics Education Research:
Poster presentations


Mathematical gestures: multitouch technology and the indexical trace Elizabeth de Freitas*^{1}, Nathalie Sinclair^{2} ^{ 1}Manchester Metropolitan University, UK, ^{ 2}Simon Fraser University, Canada TWG 16 Learning Mathematics with Technology and Other Resources:
Paper presentations


Mathematical knowledge for teaching and the teaching of mathematics Reidar Mosvold*^{1}, Mark Hoover^{2} ^{ 1}University of Stavanger, Norway, ^{ 2}University of Michigan, USA TWG 19 Mathematics Teacher and Classroom Practices:
Paper presentations


Mathematical memory revisited: mathematical problem solving by high achieving students Attila Szabo Stockholm University, Department of Mathematics and Science Education, Sweden TWG 8 Affect and Mathematical Thinking:
Paper presentations


Mathematical modeling and competencies for biology students Yannis Liakos University of Agder, Norway TWG 6 Applications and Modelling:
Poster presentations


Mathematical modelling as a prototype for interdisciplinary mathematics education?  Theoretical reflections Rita Borromeo Ferri*^{1}, Nicholas Mousoulides^{2} ^{ 1}University of Kassel, Germany, ^{ 2}University of Nicosia, Cyprus TWG 6 Applications and Modelling:
Paper presentations


Mathematical modelling in an archaeological context: their complementarity as essential tool for inquiry Gemma Sala Sebastià*, Vicenç Font Moll, Berta Barquero Farràs, Joaquim Giménez Rodríguez University of Barcelona, Spain TWG 6 Applications and Modelling:
Paper presentations


Mathematical modelling of dynamical systems and implementation at school Martin Bracke, JeanMarie Lantau* University of Kaiserslautern, Germany TWG 6 Applications and Modelling:
Paper presentations


Mathematical reasoning in the written argumentation of primary students Silke Ruwisch Leuphana University of Lueneburg, Germany TWG 1 Argumentation and Proof:
Paper presentations


Mathematics and medicine: the socioepistemological roots of variation Gloria Angélica Moreno Durazo*, Ricardo Cantoral Center for Research and Advanced Studies of National Polytechnic Institute, Mexico TWG 14 University Mathematics Education:
Poster presentations


Mathematics at the enterprise: Industry, university and school working together to facilitate learning Hans Kristian Nilsen*, Anne Vegusdal University of Agder, Norway TWG 10 Diversity and Mathematics Education: Social, Cultural and Political Challenges:
Paper presentations


Mathematics at the Royal Danish Military Academy of 1830 Asger Senbergs Roskilde Katedralskole, Denmark TWG 12 History in Mathematics Education:
Paper presentations


Mathematics in the initial preservice education of primary school teachers in Portugal: analysis of Gabriel Gonçalves proposal for the concept of unit and its application in solving problems with decimals Rui Candeias^{1,2} ^{ 1}UIED/FCT/UNL, Portugal, ^{ 2}Agrupamento de Escolas Terras de Larus, Portugal TWG 12 History in Mathematics Education:
Paper presentations


Mathematics students' attitudes to groupbased project exams compared to students in science and engineering Bettina Dahl Aalborg University, Denmark TWG 21 Assessment in Mathematics Education:
Paper presentations


Mathematics teachers' assessment of accounts of problem solving Anna Teledahl Dalarna University, Sweden TWG 21 Assessment in Mathematics Education:
Paper presentations


Mathematics teachers’ knowledge and professional development in a lesson study context Vanessa Crecci, Miguel Ribeiro*, Dario Fiorentini UNICAMP, Brazil TWG 20 Mathematics Teacher Knowledge, Beliefs and Identity:
Poster presentations


Mathematics teachers’ resourcing and use of social media: can the ‘prosumer’ concept convey what’s going on? Yvonne Liljekvist Department of Mathematics and Computer Science, Sweden TWG 17 Theoretical Perspectives and Approaches in Mathematics Education Research:
Poster presentations


Mathematics textbooks and teaching activity Maryvonne Priolet*^{1}, Eric Mounier^{2} ^{ 1}University of Reims Champagne Ardenne, France, ^{ 2}University of Paris Est Créteil, France TWG 19 Mathematics Teacher and Classroom Practices:
Paper presentations


Maths Welcome Pack: a multisensory introduction to mathematics for high school students Giulia Bini LSS Leonardo da Vinci, Italy TWG 24 Representations in Mathematics Teaching and Learning:
Poster session


Meaninggeneration through an interplay between problem solving and Constructionism in the cbook technology environment Ioannis Papadopoulos^{1,3}, Dimitris Diamantidis*^{2,3}, Chronis Kynigos^{2,3} ^{ 1}Aristotle University of Thessaloniki, Greece, ^{ 2}National Kapodistrian University of Athens, Greece, ^{ 3}CTI & Press Diophantus, Greece TWG 16 Learning Mathematics with Technology and Other Resources:
Paper presentations


Measuring beliefs concerning the double discontinuity in secondary teacher education Viktor Isaev*, Andreas Eichler University of Kassel, Germany TWG 18 Mathematics Teacher Education and Professional Development:
Paper presentations


Measuring gains in algebra knowledge at community colleges: Assessing the efficacy of the Algebra PreCalculus Readiness test Irene Duranczyk*^{1}, April Strom^{2}, Vilma Mesa^{3}, Laura Watkins^{2}, Nidhi Kohli^{1} ^{ 1}University of Minnesota, USA, ^{ 2}Maricopa Community Colleges, USA, ^{ 3}University of Michigan, USA TWG 14 University Mathematics Education:
Poster presentations


Measuring instructional quality in mathematics education Armin Jentsch*, Lena Schlesinger University of Hamburg, Germany TWG 19 Mathematics Teacher and Classroom Practices:
Paper presentations


Metacognitive modelling competencies in small groups Katrin Vorhölter*, Alexandra Krüger, Lisa Wendt University of Hamburg, Germany TWG 6 Applications and Modelling:
Paper presentations


Metaknowledge about proof Nadia Azrou University Yahia Fares, Algeria TWG 1 Argumentation and Proof:
Paper presentations


Metaphorical representations of multiface statistical concepts: An access to implicit dominant interpretation by teachers? Corinne Hahn ESCP Europe, France TWG 5 Probability and Statistics Education:
Poster presentations


Metarepresentational competence with linear algebra in quantum mechanics Megan Wawro*^{1}, Kevin Watson^{1}, Warren Christensen^{2} ^{ 1}Virginia Tech, USA, ^{ 2}North Dakota State University, USA TWG 14 University Mathematics Education:
Paper presentations


Metatheoretical aspects of the two case studies of networking theoretical perspectives: focusing on the treatments of theoretical terms in different networking strategies Yusuke Shinno Osaka Kyoiku University, Japan TWG 17 Theoretical Perspectives and Approaches in Mathematics Education Research:
Poster presentations


Methodology for designing didactical activities as an engineering project of a tactile sensorial therapeutic ramp Luis Siero*^{1}, Avenilde Romo^{2}, Arturo Abundez^{3} ^{ 1}Instituto Politécnico Nacional, CICATA, Mexico, ^{ 2}Instituto Politécnico Nacional, CICATA, Mexico, ^{ 3}Centro Nacional de Investigación y Desarrollo Tecnologíco, Mexico TWG 6 Applications and Modelling:
Paper presentations


Middle school mathematics teachers’ pedagogical content knowledge in relation to statistical reasoning Rukiye Gokce*, Sibel Kazak Pamukkale University, Turkey TWG 5 Probability and Statistics Education:
Paper presentations


Middle school students’ difficulties in proportional reasoning Oznur Soyak*, Mine Isiksal Middle East Technical University, Turkey TWG 2 Arithmetic and Number Systems:
Paper presentations


Middle school students’ employments of gestural signs: a case study Samet Okumus*^{1}, Karen Hollebrands^{2} ^{ 1}Recep Tayyip Erdogan University, Turkey, ^{ 2}North Carolina State University, USA TWG 24 Representations in Mathematics Teaching and Learning:
Paper presentations


Misconceptions and developmental proof Kirsti Hemmi*^{1,2}, Erika Julin^{1}, Ray Pörn^{1} ^{ 1}Åbo Akademi University, Finland, ^{ 2}Uppsala University, Sweden TWG 1 Argumentation and Proof:
Paper presentations


Mistakes as occasions for productive interactions in inclusive mathematics classrooms Uta HäselWeide University of Paderborn, Institute of Mathematics, Germany TWG 9 Mathematics and Language:
Paper presentations


Modeling tasks and mathematical work Charlotte Derouet^{1}, Alain Kuzniak^{1}, Dominique Laval^{1}, Elizabeth Montoya Delgadillo^{2}, Laurent Moutet*^{1}, Assia Nechache^{1}, Bernard Parzysz^{1}, Laurent Vivier^{1} ^{ 1}LDAR  Université Paris Diderot, France, ^{ 2}IMA  Pontificia Universitaria Católica de Valparaíso, Chile TWG 6 Applications and Modelling:
Poster presentations


Modelling problems in German grammar school leaving examinations (Abitur) – theory and practice Gilbert Greefrath*^{1}, HansStefan Siller^{2}, Matthias Ludwig^{3} ^{ 1}University of Muenster, Germany, ^{ 2}University of KoblenzLandau, Germany, ^{ 3}University of Frankfurt, Germany TWG 6 Applications and Modelling:
Paper presentations


Models’ use and adaptation aiming at conceptual understanding of decimal numbers Cristina Morais*^{1,2}, Lurdes Serrazina^{3,4} ^{ 1}Externato da Luz, Portugal, ^{ 2}UIDEF, Instituto de Educação, Universidade de Lisboa, Portugal, ^{ 3}Escola Superior de Educação de Lisboa, Portugal, ^{ 4}UIDEF, Instituto de Educação, Universidade de Lisboa, Portugal TWG 2 Arithmetic and Number Systems:
Paper presentations


Multilingual learners’ opportunities for productive engagement in a bilingual GermanTurkish teaching intervention on fractions Alexander SchülerMeyer TU Dortmund University, Germany TWG 9 Mathematics and Language:
Paper presentations


Multiple perspectives on working with original mathematical sources from the Edward Worth Library, Dublin Maurice OReilly CASTeL, Dublin City University, Ireland TWG 12 History in Mathematics Education:
Paper presentations


Multiple solutions for realworld problems and students' enjoyment, and boredom Stanislaw Schukajlow*, Kay Achmetli University of Münster, Germany TWG 8 Affect and Mathematical Thinking:
Paper presentations


Nature and characteristics of digital discourse in mathematical construction tasks Florian Schacht University of DuisburgEssen, Germany TWG 16 Learning Mathematics with Technology and Other Resources:
Paper presentations


Navigating through the mathematical world: Uncovering a geometer’s thought processes through his handouts and teaching journals Sepideh Stewart*, Clarissa Thompson, Noel Brady university of Oklahoma, USA TWG 14 University Mathematics Education:
Paper presentations


Negotiating the content and the teaching of statistics: Two complementary processes in teachers' professional development Dionysia Bakogianni National and Kapodistrian University of Athens, Greece TWG 5 Probability and Statistics Education:
Paper presentations


Networked theories for a didactical study of mathematics teachers communities JeanPhilippe Georget*^{2}, Hussein Sabra^{1} ^{ 1}Université de Reims Champagne Ardenne, France, ^{ 2}Normandie Univ Unicaen, France TWG 17 Theoretical Perspectives and Approaches in Mathematics Education Research:
Paper presentations


"No, it just didn't work": a teacher's reflections on all attainment teaching Colin Jackson^{1}, Hilary Povey*^{2} ^{ 1}Sheffield Hallam University, UK, ^{ 2}Sheffield Hallam University, UK TWG 10 Diversity and Mathematics Education: Social, Cultural and Political Challenges:
Paper presentations


Nonmathematics majors doing statistics: Factors behind performance Theognosia Michailidou University of Leeds, UK TWG 5 Probability and Statistics Education:
Poster presentations


Noticing aspects of example use in the classroom: analysis of a case Pessia Tsamir, Dina Tirosh, Ruthi Barkai*, Esther Levenson Tel Aviv University, Israel TWG 18 Mathematics Teacher Education and Professional Development:
Paper presentations


Number estimation in children: an assessment study with number line estimation and numerosity tasks Beatriz Vargas Dorneles*^{1}, Mariana Lima Duro^{1,2}, Nohemy Marcela Bedoya Rios^{1}, Camila Peres Nogues^{1}, Clarissa dos Santos Pereira^{1} ^{ 1}Universidade Federal do Rio Grande do Sul, Brazil, ^{ 2}Instituto Federal do Rio Grande do Sul, Brazil TWG 2 Arithmetic and Number Systems:
Paper presentations


Number line as a conceptual and didactical resource for teaching fractions using applets Carlos Valenzuela García^{1}, Olimpia Figueras^{1}, David Arnau^{2}, Juan GutiérrezSoto*^{2} ^{ 1}Centro de Investigación y de Estudios Avanzados del IPN, Departamento de Matemática Educativa, Mexico, ^{ 2}Universitat de València, Departamento de Didáctica de la Matemática, Spain TWG 2 Arithmetic and Number Systems:
Paper presentations


Number, arithmetic, multiplicative thinking and coding Krista Francis*, Brent Davis University of Calgary, Canada TWG 16 Learning Mathematics with Technology and Other Resources:
Paper presentations


Obstacles to students' understanding of the limit concept Abraham Kumsa*, Kerstin Pettersson, Paul Andrews Stockholm University, Department of Mathematics and Science education, Sweden TWG 14 University Mathematics Education:
Paper presentations


On dialectic and dynamic links between the Mathematical Working Space model and practice in the teaching and learning of mathematics Assia Nechache^{2}, Alain Kuzniak*^{1} ^{ 1}Paris Diderot University, France, ^{ 2}Orleans University, France TWG 17 Theoretical Perspectives and Approaches in Mathematics Education Research:
Paper presentations


On the edges of flow: Student engagement in problem solving Peter Liljedahl Simon Fraser University, Canada TWG 8 Affect and Mathematical Thinking:
Paper presentations


On the nature of spatial metaphors: dimensions of spatial metaphors and their use among fifth graders Angel Mizzi University of DuisburgEssen, Germany TWG 9 Mathematics and Language:
Paper presentations


"One of the beauties of Autograph is ... that you don't really have to think": Integration of resources in mathematics teaching Lina Kayali*, Irene Biza University of East Anglia, UK TWG 15 Teaching Mathematics with Technology and Other Resources:
Paper presentations


Opportunities to acquire foundational number sense: A quantitative comparison of popular English and Swedish textbooks Anna Löwenhielm, Gosia Marschall, Judy Sayers*, Paul Andrews Stockholm University, Sweden TWG 2 Arithmetic and Number Systems:
Paper presentations


Out and insourcing, an analysis model for use of instrumented techniques Niels Grønbæk*^{1}, Claus Larsen^{2}, Henrik Bang^{2} ^{ 1}University of Copenhagen, Denmark, ^{ 2}Christianshavns Gymnasium, Denmark TWG 15 Teaching Mathematics with Technology and Other Resources:
Paper presentations


Pépite online automated assessment and student learning: the domain of equations for grade 8th Stéphane Sirejacob^{1}, Françoise ChenevototQuentin*^{2}, Brigitte GrugeonAllys^{3} ^{ 1}Laboratoire de Didactique André Revuz (LDAR), Université Paris Diderot, France, ^{ 2}Laboratoire de Didactique André Revuz (LDAR), Université d'Artois, Universités Cergy Pontoise, Paris Diderot, Paris Est Créteil, France, ^{ 3}Laboratoire de Didactique André Revuz (LDAR), Université Paris Est Créteil, Universités d'Artois, Cergy Pontoise, Paris Diderot, France TWG 15 Teaching Mathematics with Technology and Other Resources:
Paper presentations


Perception, cognition and measurement of verbal and nonverbal aspects of the cardinal concept in bodilyspatial interaction Morten Bjørnebye*, Thorsteinn Sigurjonsson, Tor Solbakken Hedmark University of Applied Sciences, Norway TWG 13 Early Years Mathematics:
Paper presentations


Personal meaning and motivation when learning mathematics Neruja Suriakumaran*, Christoph Duchhardt, Maike Vollstedt Faculty 3, Mathematics Education, Germany TWG 8 Affect and Mathematical Thinking:
Paper presentations


Phenomenological analysis of the line: a study based on the didactical analysis of mathematical knowledge Guillermo RamírezMontes*^{1,2}, Fabián GutiérrezFallas^{1,2} ^{ 1}University of Lisbon, Portugal, ^{ 2}University of Costa Rica, Costa Rica TWG 6 Applications and Modelling:
Poster presentations


Planning geometry lessons with learning platforms Andreas Lindenskov Tamborg Metropolitan University College, Denmark TWG 15 Teaching Mathematics with Technology and Other Resources:
Paper presentations


Play and preproving in the primary classroom Maria Pericleous*, David Pratt UCL Institute of Education, UK TWG 1 Argumentation and Proof:
Paper presentations


“Points”, “slopes” and “derivatives”: Substantiations of narratives about tangent line in university mathematics students’ discourses Irene Biza University of East Anglia, UK TWG 14 University Mathematics Education:
Paper presentations


Polish parents and mathematics education in Swedish preschools Dorota Lembrér Faculty of Education, Bergen University College, Norway TWG 10 Diversity and Mathematics Education: Social, Cultural and Political Challenges:
Paper presentations


Positioning and emotions in learning algebra: The case of middle achieving students Wajeeh Daher*^{1,2}, Osama Swidan^{2,3}, Amani Masarwa^{2} ^{ 1}AnNajah National University, Occupied Palestinian Territory, ^{ 2}AlQasemi Academic College of Education, Israel, ^{ 3}Kay Academic College of Education, Israel TWG 8 Affect and Mathematical Thinking:
Paper presentations


Practice of educational planning in mathematics  meaning and relations Helena Grundén Linnaeus University, Sweden TWG 19 Mathematics Teacher and Classroom Practices:
Paper presentations


Praxeological analysis: the case of ideals in Ring Theory Praxeological analysis: the case of ideals in Ring Theory Julie Jovignot*^{1,2}, Thomas Hausberger^{2,3}, Viviane DurandGuerrier^{2,3} ^{ 1}Lycée Lamartine, France, ^{ 2}Institut Montpelliérain Alexander Grothendieck, France, ^{ 3}Université de Montpellier, France TWG 14 University Mathematics Education:
Paper presentations


Preliminary testing of apps in mathematics, based on international collaborative work Øistein Gjøvik^{1}, Iveta Kohanova*^{2} ^{ 1}NTNU, Faculty of Teacher and Interpreter Education, Norway, ^{ 2}Comenius University, Faculty of Mathematics, Physics and Informatics, Slovakia TWG 16 Learning Mathematics with Technology and Other Resources:
Paper presentations


Preparing preservice teachers to use instructional technology: How much development can happen in one semester? Janet Herrelko University of Dayton, USA TWG 15 Teaching Mathematics with Technology and Other Resources:
Paper presentations


Preparing teachers for teaching: does initial teacher education improve mathematical knowledge for teaching? Dun Nkhoma Kasoka*^{1}, Arne Jakobsen^{2}, Mercy Kazima^{1} ^{ 1}University of Malawi, Malawi, ^{ 2}University of Stavanger, Norway TWG 20 Mathematics Teacher Knowledge, Beliefs and Identity:
Paper presentations


Preschool class – inquiry and magnets Ana Filipa Silva*^{1}, Conceição Costa^{2}, António Domingos^{3} ^{ 1}Associação PróInfância Santo António de Lisboa, Portugal, ^{ 2}Escola Superior de Educação de Coimbra, Portugal, ^{ 3}Faculdade de Ciências e Tecnologias, Universidade Nova de Lisboa, Portugal TWG 13 Early Years Mathematics:
Poster presentations


Preschool teachers' variations when implementing a patterning task Dina Tirosh, Pessia Tsamir, Ruthi Barkai, Esther Levenson* Tel Aviv University, Israel TWG 13 Early Years Mathematics:
Paper presentations


Preservice elementary teachers' knowledge on comparing decimals based on anthropological theory of the didactic Zetra Hainul Putra^{1,2} ^{ 1}University of Copenhagen, Denmark, ^{ 2}University of Riau, Indonesia TWG 20 Mathematics Teacher Knowledge, Beliefs and Identity:
Paper presentations


Preservice mathematics teachers' views about planning the assessment Gözde Kaplan*, Çiğdem Haser Middle East Technical University, Turkey TWG 21 Assessment in Mathematics Education:
Paper presentations


Preservice mathematics teachers: How to make them ready to be ready Veronika Hubeňáková*, Ingrid Semanišinová, Dušan Šveda Pavol Jozef Safarik University, Faculty of Science, Slovakia TWG 18 Mathematics Teacher Education and Professional Development:
Paper presentations


Preservice mathematics teachers’ types of mathematical thinking: use of representations, visualspatial abilities, and problem solving performances Beyza Olgun*^{1}, Engin Ader^{2} ^{ 1}Bogazici University, Turkey, ^{ 2}Bogazici University, Turkey TWG 24 Representations in Mathematics Teaching and Learning:
Paper presentations


Preservice middle school mathematics teachers' interpretation of statements regarding proof by contrapositive Esra Demiray*^{1}, Mine Isiksal Bostan^{2} ^{ 1}Hacettepe University, Turkey, ^{ 2}Middle East Technical University, Turkey TWG 1 Argumentation and Proof:
Paper presentations


Preservice teachers' reflections on task design and implementation Hulya Kilic*^{1}, Oguzhan Dogan^{1}, Zuhal Yilmaz^{1}, Pelin Donmez^{2} ^{ 1}Yeditepe University, Turkey, ^{ 2}Ulus Private Jewish High School, Turkey TWG 22 Curricular Resources and Task Design in Mathematics Education:
Paper presentations


Preservice teachers using the Knowledge Quartet as a tool to analyse and reflect on their own teaching Sindre S. Flesvig*^{1}, Tim Rowland^{2}, Elisabeta Eriksen^{3} ^{ 1}Hedmark University of Applied Sciences, Norway, ^{ 2}University of Cambridge, UK, ^{ 3}Oslo and Akershus University College of Applied Sciences, Norway TWG 20 Mathematics Teacher Knowledge, Beliefs and Identity:
Paper presentations


Primary and secondary students' argumentation competence: a case study Eugenia Koleza, Nikolaos Metaxas, Klio Poli* University of Patras, Greece TWG 1 Argumentation and Proof:
Paper presentations


Primary future teachers' expectations towards development courses on mathematics teaching Silvia Funghi University of Modena and Reggio Emilia, Italy TWG 8 Affect and Mathematical Thinking:
Paper presentations


Primary source projects in an undergraduate mathematics classroom: A pilot case in a topology course Kathleen Clark*^{1}, Daniel Otero^{2}, Nicholas Scoville^{3} ^{ 1}Florida State University, USA, ^{ 2}Xavier University, USA, ^{ 3}Ursinus College, USA TWG 12 History in Mathematics Education:
Paper presentations


Principles of redesigning an etask based on a paperandpencil task: The case of parametric functions Galit Nagari Haddif University of Haifa, Israel TWG 22 Curricular Resources and Task Design in Mathematics Education:
Paper presentations


Principles towards justification: an episode about equations in grade 7 Joana MataPereira*, João Pedro Ponte Instituto de Educação, Universidade de Lisboa, Portugal TWG 1 Argumentation and Proof:
Paper presentations


Product orientation in modeling tasks Wolfgang Bock*, Patrick Capraro, Martin Bracke University of Kaiserslautern, Germany TWG 6 Applications and Modelling:
Poster presentations


Professional association activity: what can it offer teachers and their students? Jennie Golding UCL Institute of Education, UK TWG 20 Mathematics Teacher Knowledge, Beliefs and Identity:
Paper presentations


Professional competences of future mathematics teachers concerning the role of language in mathematics teaching Nadine Krosanke University of Hamburg, Germany TWG 9 Mathematics and Language:
Poster presentations


Programming for 3rd graders, Scratchbased or unplugged? Aaron Gaio Universtity of Palermo, Italy TWG 22 Curricular Resources and Task Design in Mathematics Education:
Paper presentations


Project of mathematical problemsolving in classrooms Maria Beyerl*, Julia Lüddecke Technical University of Braunschweig, Germany TWG 19 Mathematics Teacher and Classroom Practices:
Poster presentations


Promoting prospective elementary teachers’ knowledge about the role of assumptions in mathematical activity Andreas Stylianides*^{1}, Gabriel Stylianides^{2} ^{ 1}University of Cambridge, UK, ^{ 2}University of Oxford, UK TWG 22 Curricular Resources and Task Design in Mathematics Education:
Paper presentations


Proofbased teaching as a basis for understanding why David Reid, Estela Vallejo Vargas* University of Bremen, Germany TWG 1 Argumentation and Proof:
Paper presentations


Proofs and refutations in school mathematics: A task design in dynamic geometry environments Kotaro Komatsu*^{1,2}, Keith Jones^{2} ^{ 1}Shinshu University, Japan, ^{ 2}University of Southampton, UK TWG 1 Argumentation and Proof:
Paper presentations


Prospective teachers interpret student responses: Between assessment, educational design and research Maria Mellone*^{1}, Roberto Tortora^{1}, Arne Jakobsen^{2}, Miguel Ribeiro^{3,4} ^{ 1}University of Naples Federico II, Italy, ^{ 2}University of Stavanger, Norway, ^{ 3}University of Algarve, Portugal, ^{ 4}UNICAMP, Brazil TWG 18 Mathematics Teacher Education and Professional Development:
Paper presentations


Providing a tool for lesson planning in preservice teacher’s education Tone Bulien University of Stavanger, Norway TWG 23 Implementation of Research Findings in Mathematics Education:
Paper presentations


Providing successful intervention for mathematics learning difficulties: Developing a model for analysis Esmeralda Zerafa University of Malta, Malta TWG 17 Theoretical Perspectives and Approaches in Mathematics Education Research:
Poster presentations


Q² a game used in a task design of the double quantification Thomas Lecorre University GrenobleAlpes, France TWG 14 University Mathematics Education:
Paper presentations


QEDTutrix: creating and expanding a problem database towards personalized problem itineraries for proof learning Philippe R. Richard*^{1}, Michel Gagnon^{2}, Michele TessierBaillargeon^{1}, Nicolas Leduc^{2} ^{ 1}Université de Montréal, Canada, ^{ 2}École Polytechnique de Montréal, Canada TWG 4 Geometry:
Poster presentations


“Qualitative learning jumps” and “mathematical organizations” as analytical lenses for discussing transition issues Reinhard Hochmuth Leibniz University Hannover, Germany TWG 14 University Mathematics Education:
Paper presentations


Real uses of ICT in classrooms: Tensions and disturbances in the mathematics teacher’s activity Maha Abboud*, Janine Rogalski LDAR, France TWG 15 Teaching Mathematics with Technology and Other Resources:
Paper presentations


Realmaterials or simulations? Searching for a way to foster functional thinking Michaela Scheuring*, Jürgen Roth University of KoblenzLandau, Germany TWG 16 Learning Mathematics with Technology and Other Resources:
Poster presentations


Reasoningandproving in geometry in school mathematics textbooks in Hong Kong Kwongcheong Wong The Hong Kong Polytechnic University, China TWG 1 Argumentation and Proof:
Paper presentations


Reflection on didactical design for action: the case of convergence of sequences and of complex numbers Fatma Fattoum*^{1}, Raja Tanazefti^{1}, Imène Ghedamsi^{2} ^{ 1}Virtual University of Tunis, Tunisia, ^{ 2}University of Tunis, Tunisia TWG 14 University Mathematics Education:
Poster presentations


Reflections of Fröbel in discourses about mathematics in Scandinavian early childhood education and care Andrea Eikset Western Norway University of Applied Sciences, Norway TWG 10 Diversity and Mathematics Education: Social, Cultural and Political Challenges:
Poster presentations


Regression trees and decision rules applied to the study of perplexity: Issues and methods Inés M. GómezChacón*, J. Tinguaro Rodríguez Universidad Complutense de Madrid, Spain TWG 8 Affect and Mathematical Thinking:
Paper presentations


Rehearsals in work with inservice mathematics teachers Anita Valenta*, Kjersti Wæge Norwegian University of Science and Technology, Norway TWG 23 Implementation of Research Findings in Mathematics Education:
Paper presentations


Relating theoretical and empirical probability Kristina Penava TU Dortmund Univercity, Germany TWG 5 Probability and Statistics Education:
Poster presentations


Representations of fractions in mathematics education what do students´learn? Cecilia Sveider Linköping University, Dept of Behavioural Sciences and Learning, Sweden TWG 24 Representations in Mathematics Teaching and Learning:
Poster session


Representing subset relations with tree diagrams or unit squares? Katharina BöchererLinder*^{1}, Andreas Eichler^{2} ^{ 1}University of Education Freiburg, Germany, ^{ 2}University of Kassel, Germany TWG 24 Representations in Mathematics Teaching and Learning:
Paper presentations


Representing the one left over: a social semiotic perspective of students’ use of screen casting Carol Murphy*, Nigel Calder University of Waikato, New Zealand TWG 16 Learning Mathematics with Technology and Other Resources:
Paper presentations


Research findings associated with the concept of function and their implementation in the design of mathematics textbooks tasks Mario Sánchez Aguilar*^{1}, Apolo Castañeda^{1}, Rosa Isela GonzálezPolo^{2} ^{ 1}Instituto Politécnico Nacional, CICATA Legaria, Mexico, ^{ 2}Instituto Cumbres Toluca, Mexico TWG 23 Implementation of Research Findings in Mathematics Education:
Paper presentations


Research on mathematical literacy in school  Aim, approach and attention Frode Olav Haara, Oda Heidi Bolstad*, Eirik S. Jenssen Unuversity College of Sogn og Fjordane, Norway TWG 11 Comparative Studies in Mathematics Education:
Poster presentations


Research on the language barrier of students who use Khan Academy as a mathematics homework platform Jiří Vančura Charles University, Czech Republic TWG 16 Learning Mathematics with Technology and Other Resources:
Paper presentations


Researching the sustainable impact of professional development programmes Stefan Zehetmeier University of Klagenfurt, Austria TWG 18 Mathematics Teacher Education and Professional Development:
Paper presentations


Resource system of UK mathematics teachers appropriating the mastery teaching approaches Michael Umameh University of Leeds, UK TWG 15 Teaching Mathematics with Technology and Other Resources:
Poster presentations


Retention and access in online mathematics and science courses Claire Wladis^{1,2}, Katherine Conway*^{1}, Alyse Hachey^{1} ^{ 1}Borough of Manhattan Community College, City University of New York, USA, ^{ 2}The Graduate Center, City University of New York, USA TWG 14 University Mathematics Education:
Paper presentations


Rethinking the students' comments in the mathematics notebook: A resourcebased perspective Matías Arce*^{1}, Tomás Ortega^{1}, Núria Planas^{2} ^{ 1}University of Valladolid, Spain, ^{ 2}Autonomous University of Barcelona, Spain TWG 9 Mathematics and Language:
Paper presentations


Revisiting Odysseus' proving journeys to proof: the ‘convergentbounded' question Andreas MoutsiosRentzos*^{1}, Faidra KalozoumiPaizi^{2} ^{ 1}University of the Aegean, Greece, ^{ 2}Kinder und Jugendwohnheim Leppermühle, Germany TWG 1 Argumentation and Proof:
Paper presentations


Revisiting the roles of interactional patterns in mathematics classroom interaction Jenni Ingram*, Nick Andrews, Andrea Pitt University of Oxford, UK TWG 9 Mathematics and Language:
Paper presentations


Ritual vs. Explorative classroom participation of preservice elementary school mathematics teachers Talli Nachlieli*, Yafim Katz Levinsky College of Education, Israel TWG 18 Mathematics Teacher Education and Professional Development:
Paper presentations


"Routes" of recontextualizing mathematical processes through a curriculum reform Anna Klothou, Charalampos Sakonidis* Democritus University of Thrace, Greece TWG 19 Mathematics Teacher and Classroom Practices:
Paper presentations


School mathematics education through the eyes of students in Ghana: Extrinsic and intrinsic valuing Wee Tiong Seah*^{1}, Ernest Kofi Davis^{2}, Monica E. Carr^{3} ^{ 1}The University of Melbourne, Australia, ^{ 2}University of Cape Coast, Ghana, ^{ 3}The University of Melbourne, Australia TWG 10 Diversity and Mathematics Education: Social, Cultural and Political Challenges:
Paper presentations


Secondary school teachers' choices concerning the transformation of knowledge in the didactical transposition of real numbers and continuum in the high school Laura Branchetti Politecnico di Milano, Italy TWG 14 University Mathematics Education:
Paper presentations


Seeking symmetry in distributive property: children developing structure sense in arithmetic Andrea Maffia*^{1}, Maria Alessandra Mariotti^{2} ^{ 1}University of Modena and Reggio Emilia, Italy, ^{ 2}University of Siena, Italy TWG 2 Arithmetic and Number Systems:
Paper presentations


Selfassessment and achievement in mathematics education  the influence of immediate feedback included in a computerbased learning environment. Concept of a research study Elena Jedtke*, Gilbert Greefrath University of Münster, Germany TWG 16 Learning Mathematics with Technology and Other Resources:
Poster presentations


Selfefficacy and mathematics performance: reciprocal relationships Karin Street*^{1,2}, LarsErik Malmberg^{1}, Gabriel J. Stylianides^{1} ^{ 1}University of Oxford, UK, ^{ 2}University College of Sogn & Fjordane, Norway TWG 8 Affect and Mathematical Thinking:
Paper presentations


Selfefficacy of engineering students in the introductory phase of studies Ronja Kürten University of Münster, Germany TWG 14 University Mathematics Education:
Paper presentations


Selfregulated learning and metacognition to enhance translation of natural language to algebraic language in secondary school students María Araceli Juárez Ramírez, Lidia Aurora Hernández Rebollar, José Hugo Lara Solís* Benemérita Universidad Autónoma de Puebla, Mexico TWG 3 Algebraic Thinking:
Poster presentations


Selfscaffolding students' problem solving: testing an orientation basis Joana Villalonga Pons*^{1}, Paul Andrews^{2} ^{ 1}Universitat Autònoma de Barcelona, Spain, ^{ 2}Stockholm University, Sweden TWG 19 Mathematics Teacher and Classroom Practices:
Paper presentations


Sense making through algebraic activities: A case study Alik Palatnik*^{1,2}, Boris Koichu^{3} ^{ 1}Shaanan Academic Religious Teachers' College, Israel, ^{ 2}The Hebrew University of Jerusalem, Israel, ^{ 3}The Technion – Israel Institute of Technology, Israel TWG 3 Algebraic Thinking:
Paper presentations


Shape patterning tasks: An exploration of how children build upon their observations when asked to construct general terms. Aisling Twohill Dublin City University, Ireland TWG 3 Algebraic Thinking:
Paper presentations


Shape recognition in early school:how to develop the dimensional deconstruction? Céline Vendeira*, Sylvia Coutat University of Geneva, Switzerland TWG 4 Geometry:
Paper presentations


Shifting frames  A teacher's change towards explorative instruction Einat HeydMetzuyanim Technion, Israel TWG 18 Mathematics Teacher Education and Professional Development:
Paper presentations


"Sickened by set theory?"  About New Math in German primary schools Tanja Hamann University of Hildesheim, Germany TWG 12 History in Mathematics Education:
Poster presentations


Situationspecific diagnostic competence of mathematics teachers  a qualitative supplementary study of the TEDSFollowUp project Jessica Hoth University of Vechta, Germany TWG 18 Mathematics Teacher Education and Professional Development:
Paper presentations


Slow down, you move too fast! Jorryt van Bommel*^{1}, Hanna Palmér^{2} ^{ 1}Karlstad University, Sweden, ^{ 2}Linnaeus University, Sweden TWG 13 Early Years Mathematics:
Poster presentations


Social class and "ability" grouping in mathematics in English secondary schools: a review Colin Jackson Sheffield Hallam University, UK TWG 10 Diversity and Mathematics Education: Social, Cultural and Political Challenges:
Paper presentations


Stepwise development of statistical literacy and thinking in a statistics course for elementary preservice teachers Daniel Frischemeier*, Rolf Biehler Paderborn University, Germany TWG 5 Probability and Statistics Education:
Paper presentations


Strategies for fostering students' reading comprehension while they solve modelling problems Madlin Schmelzer*, Stanislaw Schukajlow University of Münster, Germany TWG 6 Applications and Modelling:
Paper presentations


Students' conception of a sample's relation to the population when constructing models of resampling Jeffrey McLean*^{1}, Helen Doerr^{2} ^{ 1}St Lawrence University, USA, ^{ 2}Syracuse University, USA TWG 5 Probability and Statistics Education:
Paper presentations


Students' images of mathematics: the role of parents' occupation Ciara Lane University of Limerick, Ireland TWG 8 Affect and Mathematical Thinking:
Paper presentations


Students' interpretation of the derivative in an economic context Frank Feudel University of Paderborn, Germany TWG 14 University Mathematics Education:
Paper presentations


Students' use of movement in the exploration of dynamic functions Giulia Lisarelli University of Florence, Department of Mathematics, Italy TWG 16 Learning Mathematics with Technology and Other Resources:
Paper presentations


Students' video tutorials as a means for supporting and analyzing their reflections on the limit concept Tinne Hoff Kjeldsen*^{1}, Morten Blomhøj^{2} ^{ 1}University of Copenhagen, Denmark, ^{ 2}Roskilde University, Denmark TWG 23 Implementation of Research Findings in Mathematics Education:
Paper presentations


Students’ and teachers’ mental solving of algebraic equations: from differences to challenges Jérôme Proulx*, MarieLine LavalléeLamarche, KarlPhilippe Tremblay Université du Québec à Montréal, Canada TWG 3 Algebraic Thinking:
Paper presentations


Students’ reasoning on linear transformations in a DGS: a semiotic perspective Melih Turgut Eskisehir Osmangazi University, Turkey TWG 16 Learning Mathematics with Technology and Other Resources:
Paper presentations


Students’ utilization of feedback by an interactive mathematics etextbook for primary level Sebastian Rezat University of Paderborn, Germany TWG 22 Curricular Resources and Task Design in Mathematics Education:
Paper presentations


Students’ view of continuity – An empirical analysis of mental images and their usage Erik Hanke*, Ingolf Schäfer University of Bremen, Germany TWG 14 University Mathematics Education:
Paper presentations


Study of primary teacher’s practices for a lesson after a Lesson Study process in mathematics Valérie Batteau^{1,2} ^{ 1}HEP, Switzerland, ^{ 2}Université, Switzerland TWG 20 Mathematics Teacher Knowledge, Beliefs and Identity:
Paper presentations


Subject matter knowledge and pedagogical content knowledge in prospective mathematics teachers’ learning diaries Jani Hannula University of Helsinki, Finland TWG 20 Mathematics Teacher Knowledge, Beliefs and Identity:
Paper presentations


Subjective theories of teachers in dealing with heterogeneity Elisa Bitterlich*, Judith Jung, Marcus Schütte TU Dresden, Germany TWG 10 Diversity and Mathematics Education: Social, Cultural and Political Challenges:
Paper presentations


Supporting Chinese primary school teachers' assessment practice in mathematics: effects on student achievement Xiaoyan Zhao*^{1}, Marja van den HeuvelPanhuizen^{1,2}, Michiel Veldhuis^{2} ^{ 1}Freudenthal Institute, FBW, Utrecht University, The Netherlands, ^{ 2}Freudenthal Group, FSW, Utrecht University, The Netherlands TWG 21 Assessment in Mathematics Education:
Paper presentations


Supporting classroom implementation of prooforiented tasks: lessons from teacher researcher collaboration Orly Buchbinder University of New Hampshire, USA TWG 1 Argumentation and Proof:
Paper presentations


Supporting teachers’ practices: A teacher educatorembedded professional development model Scott Courtney Kent State University, USA TWG 18 Mathematics Teacher Education and Professional Development:
Poster presentations


Supporting university freshmen  an intervention to increase strategic knowledge Thomas Stenzel University of DuisburgEssen, Germany TWG 14 University Mathematics Education:
Poster presentations


Supporting young children's mathematical register learning in two languages: ICT possibilities Troels Lange^{1}, Tamsin Meaney*^{1} ^{ 1}Bergen University College, Norway, ^{ 2}Bergen University College, Norway TWG 10 Diversity and Mathematics Education: Social, Cultural and Political Challenges:
Poster presentations


Talking with objects Marei Fetzer*^{1}, Kerstin Tiedemann^{2} ^{ 1}GoetheUniversity Frankfurt, Germany, ^{ 2}University of Bielefeld, Germany TWG 9 Mathematics and Language:
Paper presentations


Tasks to develop flexible multiplicative reasoning Joana Brocardo*^{1}, Jean Marie Kraemer^{2}, Fátima Mendes^{3}, Catarina Delgado^{4} ^{ 1}Escola Superior de Educação, IPS de Setúbal and UIDEF, Instituto de Educação, Universidade de Lisboa, Portugal, ^{ 2}CITO, The Netherlands, ^{ 3}Escola Superior de Educação do IPS, Portugal, ^{ 4}Escola Superior de Educação, IPS, Portugal TWG 22 Curricular Resources and Task Design in Mathematics Education:
Paper presentations


Taylor series: from history to teaching Rahim Kouki*^{1}, Yassine HachÏchi^{2} ^{ 1}Université de Tunis El Manar, Tunisia, ^{ 2}Université de Tunis Carthage, Tunisia TWG 14 University Mathematics Education:
Poster presentations


Teacher learning in teaching quadratic expressions and equations in Kenyan high schools: Learning study design Fredrick Odindo University of East Anglia, UK TWG 19 Mathematics Teacher and Classroom Practices:
Paper presentations


Teacher’s pedagogical design capacity and mobilization of textbook Ljerka Jukic Matic University of Osijek, Department of Mathematics, Croatia TWG 22 Curricular Resources and Task Design in Mathematics Education:
Poster presentations


Teachers' collective documentation work: a case study on tolerance intervals Ghislaine Gueudet^{1}, Veronica Parra*^{1,2} ^{ 1}CREAD, ESPE Bretagne, University of Brest, France, ^{ 2}NIECyT. UNCPBA. CONICET, Argentina TWG 22 Curricular Resources and Task Design in Mathematics Education:
Paper presentations


Teachers' decisions and the transformation of teaching activity Konstantinos Stouraitis National and Kapodistrian University of Athens, Greece TWG 19 Mathematics Teacher and Classroom Practices:
Paper presentations


Teachers designing ebooks to foster creative mathematical thinking: the case of curvature Angeliki Kolovou^{1,2}, Chronis Kynigos*^{1,2} ^{ 1}University of Athens, Educational Technology Lab, Greece, ^{ 2}CTI & Press Diophantus, Greece TWG 15 Teaching Mathematics with Technology and Other Resources:
Paper presentations


Teachers' formative assessment practices: the case of an IBMEcentered course Maud Chanudet University of Geneva, Switzerland TWG 21 Assessment in Mathematics Education:
Paper presentations


Teachers learning through participatory action research  developing strategies in order to enhance students' language and communication within mathematics in multilingual primary classrooms Margareta Engvall Linköping University, Dept. of Behavioural Sciences and Learning, Sweden TWG 18 Mathematics Teacher Education and Professional Development:
Poster presentations


Teachers’ beliefs about mathematical modelling: An exploratory study Paola Ramirez University of Bristol,Graduate School of Education, UK TWG 6 Applications and Modelling:
Paper presentations


Teachers’ voices related to the mathematical meaning constructed in the classroom Maria Kaldrimidou^{1}, Charalampos Sakonidis*^{2}, Marianna Tzekaki^{3} ^{ 1}University of Ioannina, Greece, ^{ 2}Democritus University of Thrace, Greece, ^{ 3}Aristotle University of Thessaloniki, Greece TWG 19 Mathematics Teacher and Classroom Practices:
Paper presentations


Teaching didactics to lecturers: a challenging field Ignasi Florensa^{1}, Marianna Bosch*^{2}, Josep Gascón^{3}, Noemí RuizMunzón^{4} ^{ 1}Escola Universitaria Salesiana de Sarrià – Univ. Autònoma de Barcelona, Spain, ^{ 2}IQS School of Management, Univ. Ramon Llull, Spain, ^{ 3}Dep. Matemàtiques, Univ. Autònoma de Barcelona, Spain, ^{ 4}TecnoCampus MataróMaresme, Univ. Pompeu Fabra, Spain TWG 14 University Mathematics Education:
Paper presentations


Teaching geometry to students (from five to eight years old) " All that is curved and smooth is not a circle" Fabien Emprin*^{1,2}, Jacques Douaire^{2} ^{ 1}Universite de Reims, France, ^{ 2}IFEENS Lyon, France TWG 4 Geometry:
Paper presentations


Teaching intervention for developing generalization in early childhood: the case of measurement Marianna Tzekaki*, Evangelia Papadopouloy Aristotle University of Thessaloniki, Greece TWG 13 Early Years Mathematics:
Paper presentations


Teaching kinematics using history of mathematics Alfredo Martínez*, Olimpia Figueras, François Pluvinage CinvestavIPN, Mexico TWG 12 History in Mathematics Education:
Paper presentations


Teaching mathematics to nonmathematicians: the case of media technology undergraduate students Evangelia Triantafyllou, Olga Timcenko* Aalborg University Copenhagen, Denmark TWG 14 University Mathematics Education:
Poster presentations


Teaching mathematics with multimediabased representations − what about teachers' competencies? Julia Ollesch, Fabian Gruenig*, Tobias Doerfler, Markus Vogel University of Education, Germany TWG 24 Representations in Mathematics Teaching and Learning:
Paper presentations


Teaching practices in a mathematics classroom and their connection to race and racism in the United States Sabrina Bobsin Salazar University of Michigan, USA TWG 10 Diversity and Mathematics Education: Social, Cultural and Political Challenges:
Paper presentations


Teaching selfregulation strategies with SOLVE IT to two students with learning disabilities: Effects on mathematical problemsolving performance Paraskevi Keffe*, Irini Dermitzaki, Sotiria Tzivinikou, Charoula Stathopoulou University of Thessaly, Greece TWG 8 Affect and Mathematical Thinking:
Paper presentations


Technology enhanced Resources for Mathematics Education (TeRMEd) Anne O'Shea^{1}, Sinead Breen^{2}, Conor Brennan^{3}, Frank Doheny^{4}, Christine Kelly^{1}, Ciarán Mac an Bhaird^{1}, Eabhnat Ní Fhloinn^{3}, Caitríona Ní Shé*^{1,3}, Brien Nolan^{3}, Fiona Lawless^{5}, Seamus Mc Loone^{1} ^{ 1}Maynooth University, Ireland, ^{ 2}St.Patrick’s College Drumcondra, Ireland, ^{ 3}Dublin City University, Ireland, ^{ 4}Athlone Institute of Technology, Ireland, ^{ 5}Dundalk Institute of Technology, Ireland TWG 16 Learning Mathematics with Technology and Other Resources:
Poster presentations


Technology will solve student's probability misconceptions: integrating simulation, algorithmics and programming Annarosa Serpe*, Maria Giovanna Frassia University of Calabria, Italy TWG 5 Probability and Statistics Education:
Paper presentations


Teddy bear preschool mathematics assessment: Validation of a constructivist game and storybased measure Sally Moomaw University of Cincinnati, USA TWG 21 Assessment in Mathematics Education:
Paper presentations


Ten years of mathematics education: Preparing for the supermarket? Mona Nosrati*^{1}, Paul Andrews^{2} ^{ 1}Norwegian Centre for Mathematics Education, Norway, ^{ 2}Stockholm University, Sweden TWG 11 Comparative Studies in Mathematics Education:
Paper presentations


Tensions between resource perspectives and trends in the design and dissemination of digital resources Zenon Borys, Jeffrey Choppin* University of Rochester, USA TWG 22 Curricular Resources and Task Design in Mathematics Education:
Paper presentations


Tensions in the role of mathematics coaches Annette Rouleau Simon Fraser University, Canada TWG 18 Mathematics Teacher Education and Professional Development:
Paper presentations


The application of the universal design for learning framework to task design in order to support lower attaining children in the primary school mathematics classroom Caitríona Wynne^{1}, Lorraine Harbison*^{2} ^{ 1}CICE, Ireland, ^{ 2}DCU, Ireland TWG 22 Curricular Resources and Task Design in Mathematics Education:
Poster presentations


The association between engineering students’ selfreported mathematical identities and average grades in mathematics courses Eivind Kaspersen*^{1}, Birgit Pepin^{2}, Svein Arne Sikko^{1} ^{ 1}Norwegian University of Science and Technology, Norway, ^{ 2}Technische Universiteit Eindhoven, The Netherlands TWG 14 University Mathematics Education:
Paper presentations


The complexity of mathematical thought and the quality of learning: portfolio assessment Fernando Luís Santos^{1}, António Domingos*^{2} ^{ 1}Instituto Piaget, Portugal, ^{ 2}Universidade Nova de Lisboa, Faculdade de Ciências e Tecnologia, Portugal TWG 21 Assessment in Mathematics Education:
Poster presentations


The concept of infinity  different meanings through the centuries Regina D. Möller*, Peter Collignon University of Erfurt, Germany TWG 12 History in Mathematics Education:
Paper presentations


The construction and study of the ellipse through HuzitaHatori axioms: An investigative activity in analytic geometry classes Bruna Mayara Batista Rodrigues*^{1}, Fabiana Chagas de Andrade^{2}, Thais de Sales Ribeiro^{1} ^{ 1}University of Lisbon, Portugal, ^{ 2}CEFET, Brazil TWG 4 Geometry:
Poster presentations


The context of workplaces as part of mathematics education in vocational studies: Institutional norms and (lack of) authenticity Lisa Björklund Boistrup*^{1}, John Keogh^{2} ^{ 1}Stockholm University, Department of Mathematics and Science Education, Sweden, ^{ 2}Institute of Technology Tallaght, Ireland TWG 10 Diversity and Mathematics Education: Social, Cultural and Political Challenges:
Paper presentations


The design of a teaching sequence on axial symmetry, involving a duo of artefacts and exploiting the synergy resulting from alternate use of these artefacts Antonella Montone*^{1}, Eleonora Faggiano^{1}, Maria Alessandra Mariotti^{2} ^{ 1}University of Bari, Italy, ^{ 2}University of Siena, Italy TWG 4 Geometry:
Paper presentations


The development of preservice teachers' TPACK in the use of digital tools Nimer Baya'a*^{1}, Wajeeh Daher^{1,2}, Rawan Anabousy^{1}, Ahlam Anabousy^{1} ^{ 1}AlQasemi Academic College of Education, Israel, ^{ 2}AnNajah National University, Occupied Palestinian Territory TWG 15 Teaching Mathematics with Technology and Other Resources:
Paper presentations


The development of the mathematics curriculum in basic education with technology Manuela Subtil*^{1}, António Domingos^{2} ^{ 1}Escola Básica 2º, 3º ciclos Fragata do Tejo, Portugal, ^{ 2}Faculdade de Ciências e Tecnologia, Portugal TWG 16 Learning Mathematics with Technology and Other Resources:
Poster presentations


The discourse of a teacher as a means to promote the objectification of a vector quantity: case of a novice teacher Ulises SalinasHernández*^{1}, Luis MorenoArmella^{1}, Isaias Miranda^{2} ^{ 1}Centro de Investigación y de Estudios Avanzados, Mexico, ^{ 2}Centro de Investigación en Ciencia Aplicada y Tecnología Avanzada, Mexico TWG 9 Mathematics and Language:
Paper presentations


The double nature of didactic models in conceptualizing the evolution of number systems: A mathematical model and a learning tool Marita Barabash*, Raisa Guberman Achva Academic College, Israel TWG 2 Arithmetic and Number Systems:
Paper presentations


The duck is the biggest  kindergartners talking about measurement and magnitudes Birgit Brandt, Sarah Keuch* Technische Universität Chemnitz, Germany TWG 9 Mathematics and Language:
Paper presentations


The effect of two intervention courses on students’ early algebraic thinking Maria Chimoni*, Demetra PittaPantazi University of Cyprus, Cyprus TWG 3 Algebraic Thinking:
Paper presentations


The Flipped Learning Model in teaching abstract algebra Magdalini Lada*, Tore Alexander Forbregd Norwegian University of Science and Technology, Norway TWG 14 University Mathematics Education:
Poster presentations


The flow of a proof  Establishing a basis of agreement Mika Gabel*^{1,2}, Tommy Dreyfus^{1} ^{ 1}Tel Aviv University, Israel, ^{ 2}Afeka  Tel Aviv Academic College of Engineering, Israel TWG 1 Argumentation and Proof:
Paper presentations


The fostering of flexible mental calculation competences in an inclusive mathematics classroom during Mutual Learning takes place Laura Korten TU Dortmund University, Germany TWG 2 Arithmetic and Number Systems:
Paper presentations


The impact of professional development on teachers' autonomysupportive teaching practices Janette Bobis*, Jenni Way, Judy Anderson The University of Sydney, Australia TWG 18 Mathematics Teacher Education and Professional Development:
Poster presentations


The impact of the teacher’s choices on student’s learning: The case of Riemann integral in the first year of preparatory classes Inen Akrouti*^{1}, Sassi Haddad^{2} ^{ 1}Virtual University of Tunis, Tunisia, ^{ 2}University of Carthage, Tunisia TWG 14 University Mathematics Education:
Poster presentations


The importance of cognitive abilities during practice and test situations and their connection to mathematical reasoning Mathias Norqvist Umeå University, Sweden TWG 3 Algebraic Thinking:
Poster presentations


The interface between mathematics and engineering  problem solving processes for an exercise on oscillating circuits using ordinary differential equations Jörg Kortemeyer*, Rolf Biehler University of Paderborn, Germany TWG 14 University Mathematics Education:
Paper presentations


The interplay between sociomathematical norms and students' use of mental strategies or standard algorithms Bodil Kleve*, Gerd Ånestad Oslo and Akershus University of Applied Sciences, Norway TWG 19 Mathematics Teacher and Classroom Practices:
Paper presentations


The investigation of mathematical problem solving processes of fifth grade students in small groups Firdevs İclal Karatas*^{1}, Oznur Soyak^{1}, Aysenur Alp^{2} ^{ 1}Middle East Technical University, Turkey, ^{ 2}Middle East Technical University, Turkey TWG 6 Applications and Modelling:
Paper presentations


The Italian national education assessment system: building mathematics items Rossella Garuti, Cristina Lasorsa, Stefania Pozio* INVALSI, Italy TWG 21 Assessment in Mathematics Education:
Paper presentations


The lexicon project: examining the consequences for international comparative research of pedagogical naming systems from different cultures David Clarke*^{1}, Carmel Mesiti^{1}, Yiming Cao^{2}, Jarmila Novotna^{3} ^{ 1}University of Melbourne, Australia, ^{ 2}Beijing Normal University, China, ^{ 3}Charles University, Czech Republic TWG 11 Comparative Studies in Mathematics Education:
Paper presentations


The mathematical values in the Turkish middle school mathematics applications course curriculum Gülcin Tan Sisman^{1}, Busra Kirez*^{2} ^{ 1}Hacettepe University, Turkey, ^{ 2}Hacettepe University, Turkey TWG 8 Affect and Mathematical Thinking:
Paper presentations


The Mathematical Working Space model: An open and adaptable theoretical framework? Alain Kuzniak*, Charlotte Derouet, Assia Nechache, Laurent Vivier, Bernard Parzysz Paris Diderot University, France TWG 17 Theoretical Perspectives and Approaches in Mathematics Education Research:
Poster presentations


The mathematics teacher’s quasiDarwinism. Problematizing the mathematics education research Alex Montecino Aalborg University, Denmark TWG 10 Diversity and Mathematics Education: Social, Cultural and Political Challenges:
Paper presentations


The notion and role of "detection tests" in the Danish upper secondary "maths counsellor" programme Uffe Thomas Jankvist*^{1}, Mogens Niss^{2} ^{ 1}Aarhus University, Denmark, ^{ 2}Roskilde University, Denmark TWG 23 Implementation of Research Findings in Mathematics Education:
Paper presentations


The organization of study in French business school preparatory classes Lynn Farah American University of Paris, France TWG 14 University Mathematics Education:
Paper presentations


The perspective of indexicality: How toolbased actions and gestures contribute to conceptbuilding Daniela Behrens*, Angelika BiknerAhsbahs University of Bremen, Germany TWG 17 Theoretical Perspectives and Approaches in Mathematics Education Research:
Paper presentations


The proof in formalism: Case of letters' logical status Faïza Chellougui Faculty of sciences of Bizerte, Tunisia TWG 14 University Mathematics Education:
Paper presentations


The Pythagorean theorem in mathematics laboratory Michela Maschietto*^{1}, Stefano Barbieri^{2}, Francesca Scorcioni^{2} ^{ 1}University of Modena e Reggio Emilia, Italy, ^{ 2}IC Marconi, Italy TWG 4 Geometry:
Paper presentations


The qualitative differences in generative characteristic of the aesthetic sensibility: analysis of learners’ problem solving Hayato Hanazono University of Tsukuba, Japan TWG 8 Affect and Mathematical Thinking:
Paper presentations


The Realization Tree Assessment tool: Assessing the exposure to mathematical objects during a lesson Merav Weingarden*^{1}, Einat HeydMetzuyanim^{1}, Talli Nachlieli^{2} ^{ 1}Technion, Israel, ^{ 2}Levinsky College of Education, Israel TWG 19 Mathematics Teacher and Classroom Practices:
Paper presentations


The reasons underlying mathematics teachers' decisions about the teaching objectives of a mathematical task Miriam Amit^{1}, Hodaya (Liora) Hoch*^{2,1} ^{ 1}BenGurion University, Israel, ^{ 2}Orot Israel College, Israel, ^{ 3}Talpiot College, Israel TWG 20 Mathematics Teacher Knowledge, Beliefs and Identity:
Paper presentations


The role of affect in failure in mathematics at the university level: the tertiary crisis Pietro Di Martino*, Francesca Gregorio University of Pisa, Italy TWG 8 Affect and Mathematical Thinking:
Paper presentations


The role of automated reasoning of geometry statements in mathematics instruction Francisco Botana^{1}, Tomas Recio*^{2}, M. Pilar Velez^{3} ^{ 1}Universidade de Vigo, Spain, ^{ 2}Universidad de Cantabria, Spain, ^{ 3}Universidad Antonio de Nebrija, Spain TWG 15 Teaching Mathematics with Technology and Other Resources:
Poster presentations


The role of definitions on classification of solids including nonprototype examples: The case of cylinder and prism Mine Isiksal*, Secil Yemen Karpuzcu Middle East Technical University, Turkey TWG 20 Mathematics Teacher Knowledge, Beliefs and Identity:
Paper presentations


The role of design in conceptual change The case of proportional reasoning Noa CohenEliyahu The Hebrew University of Jerusalem, Israel TWG 22 Curricular Resources and Task Design in Mathematics Education:
Paper presentations


The role of genetic approach and history of mathematics in works of Russian mathematics educators (18501950) Ildar Safuanov Moscow City University, Russia TWG 12 History in Mathematics Education:
Poster presentations


The role of gestures in supporting mathematical communication for students with language delays Helen Thouless Independent Consultant, UK TWG 13 Early Years Mathematics:
Paper presentations


The role of representations in promoting the quantitative reasoning Lurdes Serrazina*^{1}, Margarida Rodrigues^{2} ^{ 1}UIDEF, Instituto de Educação,Universidade de Lisboa, Portugal, ^{ 2}Escola Superior de Educação de Lisboa; Universidade de Lisboa, Portugal TWG 24 Representations in Mathematics Teaching and Learning:
Paper presentations


The role of the classroom teacher in supporting bilingual primary pupils in the learning of mathematics. Miriam Ryan*^{1}, Máire Ní Ríordáin^{2} ^{ 1}DCU, Ireland, ^{ 2}UCC, Ireland TWG 9 Mathematics and Language:
Paper presentations


The sociopolitics of teacher explanation in mathematics education David Kollosche Universität Potsdam, Germany TWG 10 Diversity and Mathematics Education: Social, Cultural and Political Challenges:
Paper presentations


The suitability of rich learning tasks from a pupil perspective Elisabet Mellroth^{1} ^{ 1}Karlstad University, Sweden, ^{ 2}City of Karlstad, Sweden TWG 8 Affect and Mathematical Thinking:
Paper presentations


The teaching and learning of relations and functions: A comparative study of Norwegian and Ethiopian textbooks Solomon Tesfamicael*, Geir Botten, Øyvind Lundeby Faculty of Teacher and Interpreter Education (FLT), Norwegian University of Science and Technology (NTNU), Norway TWG 11 Comparative Studies in Mathematics Education:
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The transition from high school to university mathematics: a multidimensional process AmaliaChristina Bampili*^{1}, Theodossios Zachariades^{1}, Charalampos Sakonidis^{2} ^{ 1}National and Kapodistrian University of Athens, Greece, ^{ 2}Democritus University of Thrace, Greece TWG 14 University Mathematics Education:
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The use of artifacts and different representations by producing mathematical audiopodcasts Christof Schreiber*, Rebecca Klose JustusLiebigUniversity; Department of Mathematics Education, Germany TWG 24 Representations in Mathematics Teaching and Learning:
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The use of heuristic strategies in modelling activities Peter Stender, Gabriele Kaiser* University of Hamburg, Germany TWG 6 Applications and Modelling:
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Theoretical constructs for early intervention programs in mathematics: who cares?  A Danish example Katrine Kirsted*, Lena Lindenskov Aarhus University, Denmark TWG 23 Implementation of Research Findings in Mathematics Education:
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Theorising university mathematics teaching: The teaching triad within an activity theory perspective Barbara Jaworski*^{1}, Despina Potari^{2}, Georgia Petropoulou^{3} ^{ 1}Loughborough University, UK, ^{ 2}University of Athens, Greece, ^{ 3}University of Athens, Greece TWG 14 University Mathematics Education:
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To be or not to be an inflection point Regina Ovodenko*^{1}, Pessia Tsamir^{2} ^{ 1}Center for Educational Technology, Israel, ^{ 2}TelAviv University, Israel TWG 14 University Mathematics Education:
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To err is human. The management and emotional implications of teacher error Elizabeth Lake^{1,2} ^{ 1}UCL Institute of Education, UK, ^{ 2}UEA, UK TWG 8 Affect and Mathematical Thinking:
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Toolbased argumentation Kalliopi Siopi*, Eugenia Koleza University of Patras, Department of Primary Education, Greece TWG 1 Argumentation and Proof:
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Towards an empirical validation of mathematics teachers' intuitive assessment practice exemplified by modelling tasks XeniaRosemarie Reit GoetheUniversity Frankfurt, Germany TWG 21 Assessment in Mathematics Education:
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Towards argumentative grammars of design research Arthur Bakker^{1,2} ^{ 1}Bremen University, Germany, ^{ 2}Utrecht University, The Netherlands TWG 17 Theoretical Perspectives and Approaches in Mathematics Education Research:
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Towards cultural responsiveness in mathematics education Swapna Mukhopadhyay*, Brian Greer Portland State University, USA TWG 10 Diversity and Mathematics Education: Social, Cultural and Political Challenges:
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Tracing mathematicsrelated belief change in teacher education programs Çigdem Haser*, Isil Isler Middle East Technical University, Turkey TWG 8 Affect and Mathematical Thinking:
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Transitioning from definitions to proof: exploring nonEuclidean geometry in a college geometry course Janessa Beach, Rebecca Dibbs* Texas A&M University Commerce, USA TWG 4 Geometry:
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Traveling in spatiality, in spatial sense Catherine Houdement^{1,2} ^{ 1}Laboratoire de Didactique André Revuz (LDAREA 4434), France, ^{ 2}Université de Rouen Normandie, ESPE, France TWG 4 Geometry:
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"Two, three and two more equals seven"  Preschoolers' perception and use of structures in sets Priska Schöner*, Christiane Benz University of Education, Germany TWG 13 Early Years Mathematics:
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Undergraduate students' perceptions of learning introductory statistics through producing a statistical picture book Natthapoj Vincent Trakulphadetkrai University of Reading, UK TWG 5 Probability and Statistics Education:
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Undergraduates' reasoning while solving integration tasks: discussion of a research framework Aaltje Berendina Aaten*^{1,2}, Johan Deprez^{2}, Gerrit Roorda^{1}, Martin Goedhart^{1} ^{ 1}University of Groningen, The Netherlands, ^{ 2}KU Leuven, Belgium TWG 14 University Mathematics Education:
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Understanding didactical conceptions through their history: a comparison of Brousseau's and Varga's experimentations Katalin Gosztonyi Eötvös Loránd University, Hungary TWG 12 History in Mathematics Education:
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Understanding the concept of vector subspace: A case study of Zimbabwean teachers Lillias H.N. Mutambara, Sarah Bansilal* University of KwaZuluNatal, School of Education, South Africa TWG 3 Algebraic Thinking:
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University students' understandings of concept relations and preferred representations of continuity and differentiability Kristina Juter Kristianstad University, Sweden TWG 14 University Mathematics Education:
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Upper secondary mathematics teachers' beliefs expressed through metaphors Marilena Pantziara*^{1}, Marianna Karamanou^{2}, Alexandra Petridou^{3} ^{ 1}Cyprus Pedagogical Institute, Cyprus, ^{ 2}Ministry of Education and Culture, Cyprus, ^{ 3}Centre of Educational Research and Evaluation, Cyprus TWG 8 Affect and Mathematical Thinking:
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Upper secondary teachers’ stages of concern related to curricular innovations before and after a professional development course on teaching probability and statistics including the use of digital tools Rolf Biehler, Ralf Nieszporek* University of Paderborn, Germany TWG 18 Mathematics Teacher Education and Professional Development:
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Use of analogies in teaching the concept of function: relation between Knowledge of Topics and Knowledge of Mathematics Teaching Gonzalo EspinozaVásquez*^{1}, Diana Zakaryan^{1}, José Carrillo^{2} ^{ 1}Pontifical Catholic University of Valparaíso, Chile, ^{ 2}University of Huelva, Spain TWG 20 Mathematics Teacher Knowledge, Beliefs and Identity:
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Using a flipped classroom approach in the teaching of mathematics: a case study of a preservice teachers class Theodosia Prodromou University of New England, Australia TWG 15 Teaching Mathematics with Technology and Other Resources:
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Using a fraction Learning Trajectory as a tool to develop preservice primary teachers' noticing of students' fractional reasoning Pere Ivars*, Ceneida Fernández, Salvador Llinares Universidad de Alicante, Spain TWG 18 Mathematics Teacher Education and Professional Development:
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Using a Models and Modeling Perspective (MMP) to frame and combine research, practice and teachers' professional development Jonas Bergman Ärlebäck Linköping University, Sweden TWG 23 Implementation of Research Findings in Mathematics Education:
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Using assessment for learning to enhance mathematics education in the primary school: Irish students' perspectives. Ann Marie Gurhy Dublin City University, Ireland TWG 21 Assessment in Mathematics Education:
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Using auxiliary material for modelling Carolina GuerreroOrtiz*, Jaime Mena Lorca, Astrid Morales Pontificia Universidad Católica de Valparaíso, Chile TWG 6 Applications and Modelling:
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Using dynamic and interactive technological tools to support conceptual learning of equations among low achieving students Osama Swidan*^{1,2}, Wajeeh Daher^{2,3}, Nael Darawshi^{2} ^{ 1}Kaye Academic College, Israel, ^{ 2}AlQasemi Academic College, Israel, ^{ 3}AlNajah National University, Israel TWG 16 Learning Mathematics with Technology and Other Resources:
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Using dynamic worksheets to support functional thinking in lower secondary school Edith Lindenbauer*^{1}, Zsolt Lavicza^{2} ^{ 1}University College of Education Upper Austria, Austria, ^{ 2}Johannes Kepler University, Austria TWG 16 Learning Mathematics with Technology and Other Resources:
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Using external assessments for improving assessment practices of primary school teachers: a first study and some methodological questions Nadine Grapin*^{1,2}, Nathalie Sayac^{1,2} ^{ 1}Université Paris Est Créteil, France, ^{ 2}, Laboratoire de Didactique André Revuz, France TWG 21 Assessment in Mathematics Education:
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Using sportrelated socially openended problems to coordinate decisionmaking, variability modeling and value awareness Orlando González*^{1}, Somchai Chitmun^{2} ^{ 1}Assumption University, Thailand, ^{ 2}Tepleela School, Thailand TWG 5 Probability and Statistics Education:
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Using spreadsheet for teaching probability in French high school Bernard Parzysz^{1,2} ^{ 1}Université ParisDiderot, France, ^{ 2}Université, France TWG 5 Probability and Statistics Education:
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Using student models to generate feedback in a university course on statistical sampling Sietske Tacoma*, Paul Drijvers, Peter Boon Utrecht University, The Netherlands TWG 5 Probability and Statistics Education:
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Using tangible materials in upper secondary math education as a way of creating concept images Marit Schou University of Southen Denmark, Denmark TWG 24 Representations in Mathematics Teaching and Learning:
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Using tangible technology to multimodally support algebra learning: The MAL project Thomas Janßen*, David Reid, Angelika BiknerAhsbahs, Anke Reinschlüssel, Tanja Döring, Dmitry Alexandrovsky, Rainer Malaka, Estela Vallejo University of Bremen, Germany TWG 16 Learning Mathematics with Technology and Other Resources:
Poster presentations


Using technology in Formative Assessment: Teachers beliefs Giorgio Bolondi^{1}, Roberto Capone*^{2}, Federica Ferretti^{1} ^{ 1}Alma Mater Studiorum  University of Bologna, Italy, ^{ 2}University of Salerno, Italy TWG 20 Mathematics Teacher Knowledge, Beliefs and Identity:
Poster presentations


Using variation theory to explore the reteaching phase of lesson study Therese Dooley*, Tugba Aysel Institute of Education, Ireland TWG 22 Curricular Resources and Task Design in Mathematics Education:
Poster presentations


Variables characterizing correlation and regression problems in the Spanish high school textbooks Maria M. Gea*, Carmen Batanero, Pedro Arteaga, J. Miguel Contreras University of Granada, Spain TWG 5 Probability and Statistics Education:
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Variational strategies on the study of the existence and uniqueness theorem for ordinary differential equations Rodolfo Fallas Soto*, Ricardo Cantoral Center of Research and Advances Studies of National Polytechnic Institute, Mexico TWG 12 History in Mathematics Education:
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Visual attention while reading a multiple choice task by academics and students: A comparative eyetracking approach Miroslawa Sajka Pedagogical University of Cracow, Poland TWG 11 Comparative Studies in Mathematics Education:
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Visualizing Bayesian situations – about the use of the unit square Andreas Eichler^{1}, Markus Vogel*^{2}, Katharina BöchererLinder^{3} ^{ 1}University of Kassel, Germany, ^{ 2}University of Education Heidelberg, Germany, ^{ 3}University of Education Freiburg, Germany TWG 5 Probability and Statistics Education:
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Visuospatial abilities and geometry: a first proposal of a theoretical framework for interpreting processes of visualization Elisa Miragliotta*^{1}, Anna BaccagliniFrank^{2} ^{ 1}University of Ferrara, Italy, ^{ 2}University of Pisa, Italy TWG 24 Representations in Mathematics Teaching and Learning:
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‘Walking a graph'  primary school students' experimental session on functions and graphs Svein Arne Sikko*, Øistein Gjøvik, Jardar Cyvin, Maria I. M. Febri, Ragnhild L. Staberg NTNU, Norway TWG 15 Teaching Mathematics with Technology and Other Resources:
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(Wanting to do) Ethical research in a shifting context Andrea Eikset, Trude Fosse, Troels Lange*, Johan Lie, Magni E. H. Lossius, Tamsin Meaney, Elena Severina Bergen University College, Norway TWG 10 Diversity and Mathematics Education: Social, Cultural and Political Challenges:
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What can calculus students like about and learn from a challenging problem they did not understand? Ofer Marmur*, Boris Koichu Technion  Israel Institute of Technology, Israel TWG 14 University Mathematics Education:
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What can we learn about mathematics multiple choice problems from attached supporting examples? Shai Olsher*, Michal Yerushalmy University of Haifa, Israel TWG 15 Teaching Mathematics with Technology and Other Resources:
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What influences grade 6 to 9 pupils' success in solving conceptual tasks on area and volume Veronika Tumova Charles University, Faculty of Education, Czech Republic TWG 4 Geometry:
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What knowledge is necessary to encourage mathematical talk? Gwen Ineson Brunel University London, UK TWG 20 Mathematics Teacher Knowledge, Beliefs and Identity:
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"What you see and don't see, shapes what you do and don't do": noticing in first year mathematics lectures Maria Meehan*^{1}, Ann O'Shea^{2}, Sinead Breen^{3} ^{ 1}University College Dublin, Ireland, ^{ 2}Maynooth University, Ireland, ^{ 3}Dublin City University, Ireland TWG 14 University Mathematics Education:
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When a critical aspect is a conception: Using multiple theories to design dynamic computer environments and tasks to promote secondary students’ discernment of covariation Heather Johnson*, Evan McClintock, Peter Hornbein, Amber Gardner, Daniel Grieser University of Colorado Denver, USA TWG 17 Theoretical Perspectives and Approaches in Mathematics Education Research:
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When lecturers disagree on mathematics: The case of the root concept Igor' Kontorovich The University of Auckland, New Zealand TWG 14 University Mathematics Education:
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When students use podcasts to share their own expertise in building proofs Martine De Vleeschouwer, MarieAnge Remiche* University of Namur, Belgium TWG 16 Learning Mathematics with Technology and Other Resources:
Poster presentations


When the theoretical model does not fit our data: A process of adaptation of the Cognitive Demand model Clara Benedicto, Angel Gutiérrez*, Adela Jaime Universidad de Valencia, Spain TWG 17 Theoretical Perspectives and Approaches in Mathematics Education Research:
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Which textual features are difficult when reading and solving of mathematics tasks? Anneli Dyrvold Mathematics and Mathematical Statistics, Sweden TWG 9 Mathematics and Language:
Poster presentations


Why do inservice teachers and student teachers use MathCityMap and why don't  A short survey on acceptance and user behavior of MathCityMap Iwan Gurjanow, Matthias Ludwig, Joerg Zender* Goethe University Frankfurt am Main, Germany TWG 15 Teaching Mathematics with Technology and Other Resources:
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Working memory, number sense and arithmetical performance: relations between these domains Luciana Vellinho Corso*, Beatriz Vargas Dorneles Universidade Federal do Rio Grande do Sul, Brazil TWG 2 Arithmetic and Number Systems:
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Writing fictional mathematical dialogues as a training and professional advancement tool for preservice and inservice math teachers Tikva Ovadiya Oranim college, Israel TWG 18 Mathematics Teacher Education and Professional Development:
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Written documentations in final exams with CAS Johannes Beck JuliusMaximilians Universität, Germany TWG 21 Assessment in Mathematics Education:
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Young children's aesthetic development in the context of mathematical explanation Manya Sundström*^{1}, Esther Levensen^{2} ^{ 1}Umeå University, Sweden, ^{ 2}Tel Aviv University, Israel TWG 13 Early Years Mathematics:
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Young children's appropriation of mathematical discouse: learning subtraction in a plurilingual classroom Marie Therese Farrugia University of Malta, Malta TWG 9 Mathematics and Language:
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