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Programme  Titles  Presenters  Topics 
Title Index
5- and 6-year-old 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 Ader2
1Middle East Technical University, Turkey, 2Bogaziçi 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 Márquez2
1Research Centre of Mathematics Education, Autonomous University of Guerrero, Mexico, 2Centre of Research and Advanced Studies of the National Polytechnic Institute for Mexico Cinvestav-IPN, Mexico
TWG 8 Affect and Mathematical Thinking:  Paper presentations
A classical dot pattern-based approach to algebraic expressions in a multicultural classroom
Marc Sauerwein*1, Malte Mink2
1University of Bonn, Germany, 2Otto-Kühne-Schule, Germany
TWG 3 Algebraic Thinking:  Poster presentations
A commognitive lens to study pre-service 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 computer-based collaboration script to mediate verbal argumentation in mathematics
Giovannina Albano*1, Umberto Dello Iacono1, Maria Alessandra Mariotti2
1University of Salerno, Italy, 2University of Siena, Italy
TWG 16 Learning Mathematics with Technology and Other Resources:  Paper presentations
A conception of between-state 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 Isabwe2, Pauline Vos1
1University of Agder, Norway, 2University 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 Hochmuth1, Rolf Biehler2, Niclas Schaper2, Christiane Kuklinski1, Sarah Khellaf1, Christoph Colberg2, Mirko Schürmann2, Lukas Rothe1
1Universität Hannover, Germany, 2Universität 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 Aslan-Tutak*, 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 co-teaching mathematics – affordances for teacher education
Jason Cooper*1, Orit Zaslavsky2
1Weizmann Institute of Science, Israel, 2New York University, USA
TWG 14 University Mathematics Education:  Paper presentations
A micro-model 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: cross-cutting from Calculus to Fourier Analysis
Margo Kondratieva*1, Carl Winslow2
1Memorial University, Canada, 2University 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 Mosvold2, Raymond Bjuland2
1University of Malawi, Malawi, 2University 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 Bretscher2
1University College London Institute of Education, UK, 2University 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 Carlsen1,2
1University of Copenhagen, Denmark, 2University 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 Guille-Biel Winder*1,2, Frédérick Tempier4,3
1COPIRELEM, France, 2CAFEP-ESPE de Nice Université de Nice-Sophia-Antipolis, France, 3Université de Cergy-Pontoise, France, 4Laboratoire 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 Gambini2
1University of Bologna, Italy, 2University of Parma, Italy
TWG 21 Assessment in Mathematics Education:  Paper presentations
Abstraction in context and documenting collective activity
Michal Tabach*1, Chris Rasmussen3, Tommy Dreyfus1, Rina Hershkowitz2
1Tel-Aviv Univesity, Israel, 2Weizmann Institute, Israel, 3San 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 Educação-Universidade 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 Rafalska2
1Université de Montpellier, IMAG - UMR CNRS 5149, France, 2National 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 Mwadzaangati1
1University of Malawi, Malawi, 2University 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 Mason2, Gila Hanna1
1University of Toronto, Canada, 2University 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 González-Calero3, David Arnau2
1University of A Coruña, Spain, 2University of Valencia, Spain, 3University of Castilla-La Mancha, Spain
TWG 3 Algebraic Thinking:  Paper presentations
An instructor-generated 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 Erbas2
1Bulent Ecevit University, Turkey, 2Middle 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 Shuilleabhain2, Stéphane Clivaz*1
1Lausanne University of Teacher Education, Switzerland, 2University 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 Aldon1, Jana Trgalová2, Luc Trouche1
1University of Lyon, ENS de Lyon-Institut Français de l'Education, S2HEP-EducTice, France, 2University 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 Arzarello1, Ornella Robutti1, Virginia Alberti2, Sara Labasin3, Sara Gaido1
1Department of Mathematics G. Peano, University of Turin, Italy, 2I.I.S. B. Castelli, Italy, 3L.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. Oller-Marcén*1, Vicente Meavilla2
1Centro Universitario de la Defensa de Zaragoza, Spain, 2Universidad 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 Ozdemir1, Bülent Çetinkaya2
1Hacettepe University, Turkey, 2Middle 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 Souza2
1Universidade Federal de São Paulo, Brazil, 2Universidade 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 Düsi2, Markus Vogel1
1University of Education, Germany, 2Cooperative State University Baden-Württemberg, 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 pre-service teachers' diagnostic competence
Rita Hofmann*, Jürgen Roth
University of Koblenz-Landau, 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 Katalenić2, Željka Milin Šipuš3
1University of Zagreb, Faculty of Science, Croatia, 2University of Osijek, Faculty of Education, Croatia, 3University of Zagreb, Faculty of Science, Croatia
TWG 22 Curricular Resources and Task Design in Mathematics Education:  Poster presentations
At-distance college-level training in statistical methods: Prospects and considerations
Maria Meletiou-Mavrotheris*1, Efi Paparistodemou2, Ana Serrado3
1European University Cyprus, Cyprus, 2Cyprus Pedagogical Institute, Cyprus, 3La Salle-Buen Consejo, Spain
TWG 5 Probability and Statistics Education:  Paper presentations
Authority structures in preservice teachers' talk
Konstantinos Tatsis*1, Bozena Maj-Tatsis2
1University of Ioannina, Greece, 2University 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 Xenofontos2
1Stockholm University, Sweden, 2University of Nicosia, Cyprus
TWG 11 Comparative Studies in Mathematics Education:  Paper presentations
Being in the diversity and going through the infinity
Cássia Schuck1, Cláudia Flores*2
1Federal Institute Catarinense, Brazil, 2Federal 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 Kovács1,2
1University of Debrecen, Hungary, 2University 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 Caballero-Pérez*, 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 Otero1,2
1Universidad Nacional del Centro de la Provincia de Buenos Aires (UNICEN), Argentina, 2Consejo 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 Allern2
1UiT - The Arctic University of Norway, Norway, 2Bergen 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 Llinares1, M. Luz Callejo1, Mar Moreno1, Gloria Sánchez-Matamoros2
1Universidad de Alicante, Spain, 2Universidad de Sevilla, Spain
TWG 18 Mathematics Teacher Education and Professional Development:  Paper presentations
Characteristics of pre-service primary teachers’ noticing of students’ thinking related to fraction concept sub-constructs
Àngela Buforn*1, Ceneida Fernández1, Salvador Llinares1, Gloria Sánchez-Matamoros2
1University of Alicante, Spain, 2University 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 Ryve2, Maria Larsson3
1Örebro University, Sweden, 2Mälardalen University, Sweden, 3Mälardalen 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 block-building: 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 Díaz-Levicoy, 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 Viola2, Laurent Vivier3
1Pontificia Universitaria Católica de Valparaíso, Chile, 2Universidad Nacional de Córdoba, Argentina, 3Université 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 Grønbæk1, Claus Larsen*2, Henrik Bang2
1University of Copenhagen, Denmark, 2Christianshavns Gymnasium, Denmark
TWG 15 Teaching Mathematics with Technology and Other Resources:  Poster presentations
Co-disciplinary mathematics and physics research and study courses (RSC) within two groups of pre-service teacher education
Maria Rita Otero*1,2, Viviana Carolina Llanos1,2, Marcelo Arlego1,2, Maria Paz Gazzola1,2
1Universidad Nacional del Centro de la Provincia de Buenos Aires, Argentina, 2Consejo 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 Drüke-Noe*1, Svenja-Mareike Kühn2
1Pädagogische Hochschule Weingarten, University of Education, Germany, 2Universität Koblenz-Landau, 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
Rachel-Ann Friesen
Technical University, Germany
TWG 10 Diversity and Mathematics Education: Social, Cultural and Political Challenges:  Poster presentations
Collaborative research in in-service 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 Gasca1, Elena Gil Clemente*2, Ilaria Colella3
1Roma Tre University, Italy, 2Universidad de Zaragoza, Spain, 3Tokalon 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 Dreyfus2
1Levinsky College of Education, Israel, 2Tel-Aviv 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 Asami-Johansson*1, Iiris Attorps1, Anu Laine2
1University of Gävle, Sweden, 2university 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 Sajka2, Eda Vula3
1University of Ljubljana, Slovenia, 2Pedagogical University of Cracow, Poland, 3University 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
Alpen-Adria-Universität Klagenfurt, Austria
TWG 9 Mathematics and Language:  Paper presentations
Conceptualizing reasoning-and-proving 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 decision-making tool: a didactic sequence
Raimundo Elicer*1, Eduardo Carrasco2
1Roskilde University, Denmark, 2Metropolitan 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 González-Martín2
1ISEFC, Tunisia, 2Université de Montréal, Canada
TWG 14 University Mathematics Education:  Poster presentations
Considering research frameworks as a tool for reflection on practices: Grain-size 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 Valenta2
1Norwegian University of Science and Technology, Norway, 2Norwegian 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 Ponte1
1Instituto de Educação da Universidade de Lisboa, Portugal, 2Escola Superior de Educação de Lisboa, Portugal, 3UIDEF, 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
Content-related 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 Joffredo-Le Brun*1, Mireille Morellato2, Gérard Sensevy3, Serge Quilio4
1University of western Brittany, France, 2University of western Brittany, France, 3University of western Brittany, France, 4University 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 Baioa3
1University of Algarve, Portugal, 2UIDEF, Instituto de Educação, Universidade de Lisboa, Portugal, 3Group of Schools D. Manuel I – Tavira, Portugal
TWG 6 Applications and Modelling:  Paper presentations
Critical evaluation and design of mathematics tasks: pre-service teachers
Majella Dempsey*1, Ann O'Shea2
1Maynooth University, Ireland, 2Maynooth 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
Cross-national study of lower secondary mathematics teachers’ content knowledge in USA and Russia
Mourat Tchoshanov*1, Maria Cruz Quinones2, Kadriya Shakirova3, Elena Ibragimova3, Liliana Shakirova3
1University of Texas at El Paso, USA, 2Universidad Autónoma de Cuidad Juárez, Mexico, 3Kazan 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 Nicosia2
1Università degli Studi Palermo, Italy, 2ISGEm, RSDDM, I.I.S. Aldini Valeriani Sirani, Italy
TWG 10 Diversity and Mathematics Education: Social, Cultural and Political Challenges:  Paper presentations
Culturally-inspired mathematics learning
Shipra Sachdeva*, Per-Odd 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 Duisburg-Essen, Germany
TWG 9 Mathematics and Language:  Paper presentations
Dealing with large numbers: what is important for students and teachers to know?
Christine Chambris1,2, Frédérick Tempier*1,2
1LDAR, Laboratoire de didactique André Revuz, France, 2Université de Cergy-Pontoise, France
TWG 2 Arithmetic and Number Systems:  Paper presentations
Describing a secondary mathematics teacher’s specialised knowledge of functions 
Dinazar Escudero-Avila1, Eric Flores-Medrano1, José Carrillo*2
1Benemérita Universidad Autónoma de Puebla, Mexico, 2University 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 Heuvel-Panhuizen1, Michiel Veldhuis1, Zahra Gooya2
1Utrecht University, The Netherlands, 2Shahid 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 research-based 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 Morselli2, Cristina Sabena1
1University of Turin, Italy, 2University 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 Eckert2
1School of Science and Technology (Örebro University), Sweden, 2Departenment 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 Albarracín2
1Linköping University, Sweden, 2Universitat 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 "learning-teaching-laboratories"
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 spatio-temporal 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 Komatsu2,1
1University of Southampton, UK, 2Shinshu 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 Pino-Fan1, Vicenç Font2, Valderez Lima3
1Universidad de Los Lagos, Chile, 2Universitat de Barcelona, Spain, 3Pontificia 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 Tolentino1, Rebeca Romo-Vázquez2
1Instituto Nacional Politécnico, Mexico, 2Universidad 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 Maj-Tatsis*, 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 Giménez2, Marjorie Samuel3
1Universitat Autónoma de Barcelona, Spain, 2Universitat de Barcelona, Spain, 3Universidad 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 Peter-Koop, 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 Coppola2, Roberto Tortora3
1Università degli Studi di Salerno, Italy, 2Università degli Studi di Salerno, Italy, 3Università Federico II, Italy
TWG 9 Mathematics and Language:  Paper presentations
Effect of GeoGebra collaborative and iterative professional development on in-service secondary mathematics teachers' practices
Houssam ElKasti*1, Murad Jurdak2
1Lebanese University, Lebanon, 2American 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 Duisburg-Essen, Germany
TWG 9 Mathematics and Language:  Paper presentations
Emerging and developing multiplicative structure in low-attaining 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 Diaz-Rojas2, Jorge Soto-Andrade*1,2
1University of Chile Faculty of Science Dept. of Mathematics, Chile, 2CIAE, Chile
TWG 24 Representations in Mathematics Teaching and Learning:  Paper presentations
Engineering mathematics between competence and calculation
Birgit Griese1, Michael Kallweit*2
1Paderborn University, Germany, 2Ruhr-Universität Bochum, Germany
TWG 14 University Mathematics Education:  Paper presentations
Enhancing formative assessment in mathematical class discussion: a matter of feedback
Annalisa Cusi1, Francesca Morselli*2, Cristina Sabena1
1Università di Torino, Italy, 2Università di Genova, Italy
TWG 21 Assessment in Mathematics Education:  Paper presentations
Enhancing statistical literacy
Marianne van Dijke-Droogers*2,1, Paul Drijvers1, Jos Tolboom3
1Utrecht University, The Netherlands, 2Csg Prins Maurits, The Netherlands, 3SLO, 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 Flanagan2, Claire Brilly2
1University College Cork, Ireland, 2National 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 Kouki2, Ali Selmi3
1Université de Tunis, Tunisia, 2Université de Tunis El Manar, Tunisia, 3Université 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 Afeltra2, Maria Mellone1, Piera Romano*3, Roberto Tortora1
1University of Naples "Federeico II", Italy, 2Liceo Scientifico “L. Einaudi”, Italy, 3Liceo Scientifico Statale “Mons. B. Mangino”, Italy
TWG 5 Probability and Statistics Education:  Paper presentations
Evaluation of a discovery, inquiry- and project-based learning program
Hanna Gärtner*, Matthias Ludwig
Goethe-University, Germany
TWG 18 Mathematics Teacher Education and Professional Development:  Paper presentations
Evaluation of a rating system for the assessment of metacognitive-discursive instructional quality
Edyta Nowińska*1, Anna-Katharina Praetorius2
1Osnabrück University, Germany, 2German Institute for International Educational Research, Germany
TWG 19 Mathematics Teacher and Classroom Practices:  Paper presentations
Evolution of proof form in Japanese geometry textbooks
Marion Cousin1, Takeshi Miyakawa*2
1Lyons Institute of East Asian Studies, France, 2Joetsu University of Education, Japan
TWG 1 Argumentation and Proof:  Paper presentations
Examining difficulties in initial algebra: Prerequisite and algebra content areas for Irish post-primary students.
Aoife O'Brien*1, Máire Ní Ríordáin2
1National University of Ireland, Galway, Ireland, 2University College Cork, Ireland
TWG 21 Assessment in Mathematics Education:  Paper presentations
Examining motivation in mobile app-supported math trail environments
Adi Nur Cahyono1,2, Matthias Ludwig*1
1Goethe University Frankfurt, Germany, 2Semarang 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
Jean-Jacques Salone1,2
1Centre Universitaire de Formation et de Recherche, French Southern Territories, 2Institut 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 cross-national pilot study in Cyprus and Greece
Constantinos Xenofontos*1, Paul Andrews2
1University of Nicosia, Cyprus, 2Stockholm 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 Portnov-Naaman
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 Arellano-García1, Antonia Hernández-Moreno1, Cristian Nava-Guzmán2
1Research Centre of Mathematics Education, Mathematics Faculty, Autonomous University of Guerrero, Mexico, 2Autonomous University of Hidalgo, Mexico
TWG 8 Affect and Mathematical Thinking:  Paper presentations
Exploring Roma learning mathematics: a sociomathematical view
Javier Diez-Palomar
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 Hadjerrouit1, John Monaghan1, Ragnhild J. Rensaa2
1University of Agder, Norway, 2UiT - 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 Barquero2, Christian Mercat1, Mohamed El-Demerdash1,3, Jana Trgalova1, Mario Barajas2, Pedro Lealdino Filho1
1University Claude Bernard Lyon 1, France, 2University of Barcelona, Spain, 3Menoufia 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 Karimianzade1, Abolfazl Rafiepour*2
1Kerman Math House, Iran, 2Shahid Bahonar University of Kerman, Iran
TWG 6 Applications and Modelling:  Paper presentations
Finnish educators’ conceptions of the social-emotional 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 non-routine 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 Askew1
1Wits School of Education, University of the Witwatersrand, South Africa, 2School of Education and Communication, Jönköping University, Sweden, 3Faculty 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 Serrazina2
1Agrupamento de Escolas Braamcamp Freire, UIDEF, Instituto de Educação, Universidade de Lisboa, Portugal, 2Escola 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
Pierre-Vincent Quéré1,2
1Université de Bretagne Loire, France, 2CREAD, 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 Smestad1, Annette Hessen Bjerke1, Camilla Rodal1, Yvette Solomon2,1
1Oslo and Akershus University College of Applied Sciences, Norway, 2Manchester Metropolitan University, UK
TWG 18 Mathematics Teacher Education and Professional Development:  Paper presentations
From  paper and pencil-  to Computer-based assessment: some issues raising in the comparison
Alice Lemmo*1, Maria Alessandra Mariotti2
1Università di Palermo, Italy, 2Università di Siena, Italy
TWG 21 Assessment in Mathematics Education:  Paper presentations
From practical to theoretical thinking: The impact of the role-play 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 Nardi2
1University of Agder, Norway, 2University 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 Daina1,2
1Université de Genève, Switzerland, 2HEP 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 Misfeldt2
1Aarhus University, Denmark, 2Aalborg 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: knowledge-based reasoning
Naďa Vondrová*1, Jarmila Robová2
1Charles University, Faculty of Education, Czech Republic, 2Charles 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 in-service 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 Lavicza1
1Johannes Kepler University, Austria, 2Federal Institute of Education, Science and Technology, Brazil
TWG 6 Applications and Modelling:  Paper presentations
Getting into university: From foundation to first year engineering
Stephanie Treffert-Thomas
Loughborough University, UK
TWG 14 University Mathematics Education:  Poster presentations
Getting language awareness: A curriculum for language and language teaching for pre-service studies for teachers of mathematics
Carina Rauf*, Barbara Schmidt-Thieme
Universitiy of Hildesheim, Germany
TWG 9 Mathematics and Language:  Poster presentations
Grade 6 students' abilities to represent functional relationships
Isil Isler*1, Susanne Strachota2, Ana Stephens3, Nicole Fonger4, Maria Blanton5, Angela Gardiner6, Eric Knuth7
1Middle East Technical University, Turkey, 2University of Wisconsin-Madison, USA, 3University of Wisconsin-Madison, USA, 4University of Wisconsin-Madison, USA, 5TERC, USA, 6TERC, USA, 7University of Wisconsin-Madison, 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
Anna-Katharina 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 non-hierarchical clustering methods to study students algebraic thinking in solving an open-ended 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 Weiss2, Rainer Kaenders*1
1University of Bonn, Germany, 2University 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. González-Martín*, Gisela Hernandes-Gomes
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 Björklund2
1Linnaeus University, Sweden, 2University 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 lower-achieving children cope with derived facts-based teaching of basic multiplication: Findings from a design research study
Michael Gaidoschik*1, Kora Maria Deweis2, Silvia Guggenbichler3
1Free University of Bozen/Bolzano, Italy, 2Alpen Adria University Klagenfurt, Austria, 3University 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 Fernández-León*, Rocío Toscano-Barragán, José María Gavilán-Izquierdo
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 self-determination
Anne Birgitte Fyhn*1, Tamsin Meaney2, Kristine Nystad3, Ylva Jannok Nutti4
1UiT-The Arctic University of Norway, Norway, 2Bergen University College, Norway, 3University of Oslo, Norway, 4Sami 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 Vogel1, Tobias Dörfler1, Andreas Eichler2
1University of Education, Germany, 2University, Germany
TWG 18 Mathematics Teacher Education and Professional Development:  Paper presentations
How to design educational material for inclusive classes
Anna Noll*1, Jürgen Roth1, Markus Scholz2
1University of Koblenz-Landau, Campus Landau, Germany, 2University 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 visual-cognitive processes in students' interpretation of graph representations using eye-tracking data and math/machine learning based data analysis
Enrique Garcia Moreno-Esteva*1, Sonia White2, Joanne Wood2, Alexander Black2
1University of Helsinki, Dept. of Teacher Education, Finland, 2Queensland University of Technology, Australia
TWG 24 Representations in Mathematics Teaching and Learning:  Paper presentations
Identifying phases and activities in the proving process of first-year 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 Moreno-Esteva
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 problem-solving 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 Andre1,2
1Pädagogische Hochschule Tirol, Austria, 2Johannes 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 Eilerts2
1Freie Universität Berlin, Germany, 2Humboldt-Universtität 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 Andrade-Molina
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 Montes2
1Universidad de Chile, Chile, 2SIP, Chile
TWG 23 Implementation of Research Findings in Mathematics Education:  Poster session
Informal statistical inference and pre-service primary school teachers: the development of their content knowledge and pedagogical content knowledge during a teacher college intervention
Arjen De Vetten*1,2, Judith Schoonenboom3, Ronald Keijzer2,4, Bert Van Oers1
1Vrije Universiteit Amsterdam, The Netherlands, 2Hogeschool iPabo, The Netherlands, 3University of Vienna, Austria, 4Utrecht 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 Domingos2
1Instituto Politécnico de Tomar, Portugal, 2Faculdade de Ciências e Tecnologia, Universidade Nova de Lisboa, Portugal
TWG 18 Mathematics Teacher Education and Professional Development:  Paper presentations
Inquiry-based 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 Meletiou-Mavrotheris2, Christina Vasou2
1Cyprus Pedagogical Institute, Cyprus, 2European 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 Sloane2
1Mary Immaculate College, Ireland, 2National 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 Navarra2
1University of Modena & Reggio E., Italy, 2University of Mdena 6 Reggio E., Italy
TWG 18 Mathematics Teacher Education and Professional Development:  Paper presentations
Interactive mathematical maps for de-fragmentation
Anna-Maria 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 self-construction 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 Badillo2, Glória Sánchez-Matamoros3, Miguel Montes4, Genaro de Gamboa2
1UNICAMP, Brazil, 2University Autònoma of Barcelona, Spain, 3University of Sevilla, Spain, 4University of Huelva, Spain
TWG 20 Mathematics Teacher Knowledge, Beliefs and Identity:  Paper presentations
Introduction to equation solving for a new generation of algebra learners
Ann-Sofi Röj-Lindberg*1, Anna-Maija Partanen2, Kirsti Hemmi1,3
1Åbo Akademi University, Finland, 2University of Lapland, Finland, 3Uppsala University, Sweden
TWG 3 Algebraic Thinking:  Paper presentations
Investigating Lesson Study as a practice-based 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 Mavrikis2
1University College London Institute of Education, UK, 2University 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 Prendergast2, Lorraine Harbison3, Clare O'Hara4
1EPISTEM, University of Limerick, Ireland, 2Trinity College Dublin, Ireland, 3CASTeL, Dublin City University, Ireland, 4Central Statistics Office, Ireland
TWG 20 Mathematics Teacher Knowledge, Beliefs and Identity:  Paper presentations
Issues of a quasi-longitudinal study on different types of argumentation in the context of division by zero
Christian Fahse
University of Koblenz-Landau, 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:  Paper presentations
‘It's different, it's difficult, it's unknown': letting go of levels
Nick Pratt*1, Julie Alderton2
1Plymouth University, UK, 2University of Cambridge, UK
TWG 21 Assessment in Mathematics Education:  Paper presentations
Khan Academy as a resource for pre-service 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 González-Ruiz1, Jose M. Diego-Mantecón1, Tomás Recio1, José B. Búa2, Teresa F. Blanco2, María J. González1, Irene Polo1
1University of Cantabria, Spain, 2University 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 Donevska-Todorova*1, Jana Trgalova2
1Humboldt-Universität zu Berlin, Germany, 2University 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 Diderot-Paris 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 Petitfour1,3
1LDAR, France, 2Université Paris Est Créteil, France, 3Université de Rouen, France
TWG 4 Geometry:  Paper presentations
Learning with the logic of inquiry: game-activities inside Dynamic Geometry Environments
Carlotta Soldano*, Ferdinando Arzarello
University of Turin, Italy
TWG 1 Argumentation and Proof:  Paper presentations
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:  Paper presentations
(Legitimate peripheral) computational thinking in mathematics
Laura Broley*1, Chantal Buteau2, Eric Muller2
1Concordia University, Canada, 2Brock University, Canada
TWG 16 Learning Mathematics with Technology and Other Resources:  Paper presentations
Lesson study seen by participants
Adriana Richit*1,2, João Pedro Ponte2
1Universidade Federal da Fronteira Sul, Brazil, 2Universidade 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 questions-answers dialectic
Berta Barquero*1, Nacho Monreal2, Noemí Ruiz-Munzón2
1University of Barcelona, Spain, 2Pompeu Fabra University. Escola Superior de Ciències Socials i de l'Empresa – Tecnocampus, Spain
TWG 6 Applications and Modelling:  Paper presentations
Long-term 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 self-regulation 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 Griffiths2, Jenni Back2
1University of Roehampton, UK, 2University of Leicester, UK
TWG 13 Early Years Mathematics:  Paper presentations
Mapping the logics in practice oriented competence development
Andreas Lindenskov Tamborg1,2, Benjamin Brink Allsopp1, Simon Skov Fougt2, Morten Misfeldt*1
1Aalborg University, Denmark, 2Metropolitan 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 Kocadere2, Markus Hohenwarter1
1Johannes Kepler University, Austria, 2Hacettepe 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 case-study in teacher-training context
Renaud Chorlay1,2
1ESPE de l'académie de Paris, France, 2LDAR - 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 Sinclair2
1Manchester Metropolitan University, UK, 2Simon 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 Hoover2
1University of Stavanger, Norway, 2University 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 Mousoulides2
1University of Kassel, Germany, 2University 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, Jean-Marie 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 pre-service 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 Candeias1,2
1UIED/FCT/UNL, Portugal, 2Agrupamento de Escolas Terras de Larus, Portugal
TWG 12 History in Mathematics Education:  Paper presentations
Mathematics students' attitudes to group-based 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’ re-sourcing 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 Mounier2
1University of Reims Champagne Ardenne, France, 2University of Paris Est Créteil, France
TWG 19 Mathematics Teacher and Classroom Practices:  Paper presentations
Maths Welcome Pack: a multi-sensory introduction to mathematics for high school students
Giulia Bini
LSS Leonardo da Vinci, Italy
TWG 24 Representations in Mathematics Teaching and Learning:  Poster session
Meaning-generation through an interplay between problem solving and Constructionism in the c-book technology environment
Ioannis Papadopoulos1,3, Dimitris Diamantidis*2,3, Chronis Kynigos2,3
1Aristotle University of Thessaloniki, Greece, 2National Kapodistrian University of Athens, Greece, 3CTI & 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 Pre-Calculus Readiness test
Irene Duranczyk*1, April Strom2, Vilma Mesa3, Laura Watkins2, Nidhi Kohli1
1University of Minnesota, USA, 2Maricopa Community Colleges, USA, 3University 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
Meta-knowledge 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
Meta-representational competence with linear algebra in quantum mechanics
Megan Wawro*1, Kevin Watson1, Warren Christensen2
1Virginia Tech, USA, 2North Dakota State University, USA
TWG 14 University Mathematics Education:  Paper presentations
Meta-theoretical 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 Romo2, Arturo Abundez3
1Instituto Politécnico Nacional, CICATA, Mexico, 2Instituto Politécnico Nacional, CICATA, Mexico, 3Centro 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 Hollebrands2
1Recep Tayyip Erdogan University, Turkey, 2North Carolina State University, USA
TWG 24 Representations in Mathematics Teaching and Learning:  Paper presentations
Misconceptions and developmental proof
Kirsti Hemmi*1,2, Erika Julin1, Ray Pörn1
1Åbo Akademi University, Finland, 2Uppsala University, Sweden
TWG 1 Argumentation and Proof:  Paper presentations
Mistakes as occasions for productive interactions in inclusive mathematics classrooms
Uta Häsel-Weide
University of Paderborn, Institute of Mathematics, Germany
TWG 9 Mathematics and Language:  Paper presentations
Modeling tasks and mathematical work
Charlotte Derouet1, Alain Kuzniak1, Dominique Laval1, Elizabeth Montoya Delgadillo2, Laurent Moutet*1, Assia Nechache1, Bernard Parzysz1, Laurent Vivier1
1LDAR - Université Paris Diderot, France, 2IMA - 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, Hans-Stefan Siller2, Matthias Ludwig3
1University of Muenster, Germany, 2University of Koblenz-Landau, Germany, 3University 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 Serrazina3,4
1Externato da Luz, Portugal, 2UIDEF, Instituto de Educação, Universidade de Lisboa, Portugal, 3Escola Superior de Educação de Lisboa, Portugal, 4UIDEF, Instituto de Educação, Universidade de Lisboa, Portugal
TWG 2 Arithmetic and Number Systems:  Paper presentations
Multilingual learners’ opportunities for productive engagement in a bilingual German-Turkish teaching intervention on fractions
Alexander Schüler-Meyer
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 real-world 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 Duisburg-Essen, 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
Jean-Philippe Georget*2, Hussein Sabra1
1Université de Reims Champagne Ardenne, France, 2Normandie 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 Jackson1, Hilary Povey*2
1Sheffield Hallam University, UK, 2Sheffield Hallam University, UK
TWG 10 Diversity and Mathematics Education: Social, Cultural and Political Challenges:  Paper presentations
Non-mathematics 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 Duro1,2, Nohemy Marcela Bedoya Rios1, Camila Peres Nogues1, Clarissa dos Santos Pereira1
1Universidade Federal do Rio Grande do Sul, Brazil, 2Instituto 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 García1, Olimpia Figueras1, David Arnau2, Juan Gutiérrez-Soto*2
1Centro de Investigación y de Estudios Avanzados del IPN, Departamento de Matemática Educativa, Mexico, 2Universitat 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 Nechache2, Alain Kuzniak*1
1Paris Diderot University, France, 2Orleans 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 Duisburg-Essen, 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 Larsen2, Henrik Bang2
1University of Copenhagen, Denmark, 2Christianshavns 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 Sirejacob1, Françoise Chenevotot-Quentin*2, Brigitte Grugeon-Allys3
1Laboratoire de Didactique André Revuz (LDAR), Université Paris Diderot, France, 2Laboratoire de Didactique André Revuz (LDAR), Université d'Artois, Universités Cergy Pontoise, Paris Diderot, Paris Est Créteil, France, 3Laboratoire 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 non-verbal aspects of the cardinal concept in bodily-spatial 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 Ramírez-Montes*1,2, Fabián Gutiérrez-Fallas1,2
1University of Lisbon, Portugal, 2University 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 pre-proving 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 Swidan2,3, Amani Masarwa2
1An-Najah National University, Occupied Palestinian Territory, 2Al-Qasemi Academic College of Education, Israel, 3Kay 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 Hausberger2,3, Viviane Durand-Guerrier2,3
1Lycée Lamartine, France, 2Institut Montpelliérain Alexander Grothendieck, France, 3Université de Montpellier, France
TWG 14 University Mathematics Education:  Paper presentations
Preliminary testing of apps in mathematics, based on international collaborative work
Øistein Gjøvik1, Iveta Kohanova*2
1NTNU, Faculty of Teacher and Interpreter Education, Norway, 2Comenius 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 Jakobsen2, Mercy Kazima1
1University of Malawi, Malawi, 2University of Stavanger, Norway
TWG 20 Mathematics Teacher Knowledge, Beliefs and Identity:  Paper presentations
Preschool class – inquiry and magnets
Ana Filipa Silva*1, Conceição Costa2, António Domingos3
1Associação Pró-Infância Santo António de Lisboa, Portugal, 2Escola Superior de Educação de Coimbra, Portugal, 3Faculdade 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
Pre-service elementary teachers' knowledge on comparing decimals based on anthropological theory of the didactic
Zetra Hainul Putra1,2
1University of Copenhagen, Denmark, 2University 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
Pre-service 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, visual-spatial abilities, and problem solving performances
Beyza Olgun*1, Engin Ader2
1Bogazici University, Turkey, 2Bogazici University, Turkey
TWG 24 Representations in Mathematics Teaching and Learning:  Paper presentations
Pre-service middle school mathematics teachers' interpretation of statements regarding proof by contrapositive
Esra Demiray*1, Mine Isiksal Bostan2
1Hacettepe University, Turkey, 2Middle East Technical University, Turkey
TWG 1 Argumentation and Proof:  Paper presentations
Pre-service teachers' reflections on task design and implementation
Hulya Kilic*1, Oguzhan Dogan1, Zuhal Yilmaz1, Pelin Donmez2
1Yeditepe University, Turkey, 2Ulus Private Jewish High School, Turkey
TWG 22 Curricular Resources and Task Design in Mathematics Education:  Paper presentations
Pre-service teachers using the Knowledge Quartet as a tool to analyse and reflect on their own teaching
Sindre S. Flesvig*1, Tim Rowland2, Elisabeta Eriksen3
1Hedmark University of Applied Sciences, Norway, 2University of Cambridge, UK, 3Oslo 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 Otero2, Nicholas Scoville3
1Florida State University, USA, 2Xavier University, USA, 3Ursinus College, USA
TWG 12 History in Mathematics Education:  Paper presentations
Principles of redesigning an e-task based on a paper-and-pencil 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 Mata-Pereira*, 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, Scratch-based or unplugged?
Aaron Gaio
Universtity of Palermo, Italy
TWG 22 Curricular Resources and Task Design in Mathematics Education:  Paper presentations
Project of mathematical problem-solving 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 Stylianides2
1University of Cambridge, UK, 2University of Oxford, UK
TWG 22 Curricular Resources and Task Design in Mathematics Education:  Paper presentations
Proof-based 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 Jones2
1Shinshu University, Japan, 2University 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 Tortora1, Arne Jakobsen2, Miguel Ribeiro3,4
1University of Naples Federico II, Italy, 2University of Stavanger, Norway, 3University of Algarve, Portugal, 4UNICAMP, Brazil
TWG 18 Mathematics Teacher Education and Professional Development:  Paper presentations
Providing a tool for lesson planning in pre-service 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 Grenoble-Alpes, France
TWG 14 University Mathematics Education:  Paper presentations
QED-Tutrix: creating and expanding a problem database towards personalized problem itineraries for proof learning
Philippe R. Richard*1, Michel Gagnon2, Michele Tessier-Baillargeon1, Nicolas Leduc2
1Université de Montréal, Canada, 2École 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
Real-materials or simulations? Searching for a way to foster functional thinking
Michaela Scheuring*, Jürgen Roth
University of Koblenz-Landau, Germany
TWG 16 Learning Mathematics with Technology and Other Resources:  Poster presentations
Reasoning-and-proving in geometry in school mathematics textbooks in Hong Kong
Kwong-cheong 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 Tanazefti1, Imène Ghedamsi2
1Virtual University of Tunis, Tunisia, 2University 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. Gómez-Chacón*, J. Tinguaro Rodríguez
Universidad Complutense de Madrid, Spain
TWG 8 Affect and Mathematical Thinking:  Paper presentations
Rehearsals in work with in-service 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 Böcherer-Linder*1, Andreas Eichler2
1University of Education Freiburg, Germany, 2University 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 Castañeda1, Rosa Isela González-Polo2
1Instituto Politécnico Nacional, CICATA Legaria, Mexico, 2Instituto 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 Wladis1,2, Katherine Conway*1, Alyse Hachey1
1Borough of Manhattan Community College, City University of New York, USA, 2The Graduate Center, City University of New York, USA
TWG 14 University Mathematics Education:  Paper presentations
Rethinking the students' comments in the mathematics notebook: A resource-based perspective
Matías Arce*1, Tomás Ortega1, Núria Planas2
1University of Valladolid, Spain, 2Autonomous University of Barcelona, Spain
TWG 9 Mathematics and Language:  Paper presentations
Revisiting Odysseus' proving journeys to proof: the ‘convergent-bounded' question
Andreas Moutsios-Rentzos*1, Faidra Kalozoumi-Paizi2
1University of the Aegean, Greece, 2Kinder- 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 pre-service 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 Davis2, Monica E. Carr3
1The University of Melbourne, Australia, 2University of Cape Coast, Ghana, 3The 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 Mariotti2
1University of Modena and Reggio Emilia, Italy, 2University of Siena, Italy
TWG 2 Arithmetic and Number Systems:  Paper presentations
Self-assessment and achievement in mathematics education - the influence of immediate feedback included in a computer-based 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
Self-efficacy and mathematics performance: reciprocal relationships
Karin Street*1,2, Lars-Erik Malmberg1, Gabriel J. Stylianides1
1University of Oxford, UK, 2University College of Sogn & Fjordane, Norway
TWG 8 Affect and Mathematical Thinking:  Paper presentations
Self-efficacy of engineering students in the introductory phase of studies
Ronja Kürten
University of Münster, Germany
TWG 14 University Mathematics Education:  Paper presentations
Self-regulated 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
Self-scaffolding students' problem solving: testing an orientation basis
Joana Villalonga Pons*1, Paul Andrews2
1Universitat Autònoma de Barcelona, Spain, 2Stockholm University, Sweden
TWG 19 Mathematics Teacher and Classroom Practices:  Paper presentations
Sense making through algebraic activities: A case study
Alik Palatnik*1,2, Boris Koichu3
1Shaanan Academic Religious Teachers' College, Israel, 2The Hebrew University of Jerusalem, Israel, 3The 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 Heyd-Metzuyanim
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
Situation-specific diagnostic competence of mathematics teachers - a qualitative supplementary study of the TEDS-Follow-Up 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 Palmér2
1Karlstad University, Sweden, 2Linnaeus 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 Doerr2
1St Lawrence University, USA, 2Syracuse 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 Blomhøj2
1University of Copenhagen, Denmark, 2Roskilde 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*, Marie-Line Lavallée-Lamarche, Karl-Philippe 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 e-textbook 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 Batteau1,2
1HEP, Switzerland, 2Université, 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 Heuvel-Panhuizen1,2, Michiel Veldhuis2
1Freudenthal Institute, FBW, Utrecht University, The Netherlands, 2Freudenthal Group, FSW, Utrecht University, The Netherlands
TWG 21 Assessment in Mathematics Education:  Paper presentations
Supporting classroom implementation of proof-oriented 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 educator-embedded 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 Duisburg-Essen, Germany
TWG 14 University Mathematics Education:  Poster presentations
Supporting young children's mathematical register learning in two languages: ICT possibilities
Troels Lange1, Tamsin Meaney*1
1Bergen University College, Norway, 2Bergen University College, Norway
TWG 10 Diversity and Mathematics Education: Social, Cultural and Political Challenges:  Poster presentations
Talking with objects
Marei Fetzer*1, Kerstin Tiedemann2
1Goethe-University Frankfurt, Germany, 2University of Bielefeld, Germany
TWG 9 Mathematics and Language:  Paper presentations
Tasks to develop flexible multiplicative reasoning
Joana Brocardo*1, Jean Marie Kraemer2, Fátima Mendes3, Catarina Delgado4
1Escola Superior de Educação, IPS de Setúbal and UIDEF, Instituto de Educação, Universidade de Lisboa, Portugal, 2CITO, The Netherlands, 3Escola Superior de Educação do IPS, Portugal, 4Escola 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 HachÏchi2
1Université de Tunis El Manar, Tunisia, 2Université 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 Gueudet1, Veronica Parra*1,2
1CREAD, ESPE Bretagne, University of Brest, France, 2NIECyT. 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 e-books to foster creative mathematical thinking: the case of curvature
Angeliki Kolovou1,2, Chronis Kynigos*1,2
1University of Athens, Educational Technology Lab, Greece, 2CTI & Press Diophantus, Greece
TWG 15 Teaching Mathematics with Technology and Other Resources:  Paper presentations
Teachers' formative assessment practices: the case of an IBME-centered 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 Kaldrimidou1, Charalampos Sakonidis*2, Marianna Tzekaki3
1University of Ioannina, Greece, 2Democritus University of Thrace, Greece, 3Aristotle University of Thessaloniki, Greece
TWG 19 Mathematics Teacher and Classroom Practices:  Paper presentations
Teaching didactics to lecturers: a challenging field
Ignasi Florensa1, Marianna Bosch*2, Josep Gascón3, Noemí Ruiz-Munzón4
1Escola Universitaria Salesiana de Sarrià – Univ. Autònoma de Barcelona, Spain, 2IQS School of Management, Univ. Ramon Llull, Spain, 3Dep. Matemàtiques, Univ. Autònoma de Barcelona, Spain, 4TecnoCampus Mataró-Maresme, 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 Douaire2
1Universite de Reims, France, 2IFE-ENS 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
Cinvestav-IPN, Mexico
TWG 12 History in Mathematics Education:  Paper presentations
Teaching mathematics to non-mathematicians: 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 multimedia-based 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 self-regulation strategies with SOLVE IT to two students with learning disabilities: Effects on mathematical problem-solving 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'Shea1, Sinead Breen2, Conor Brennan3, Frank Doheny4, Christine Kelly1, Ciarán Mac an Bhaird1, Eabhnat Ní Fhloinn3, Caitríona Ní Shé*1,3, Brien Nolan3, Fiona Lawless5, Seamus Mc Loone1
1Maynooth University, Ireland, 2St.Patrick’s College Drumcondra, Ireland, 3Dublin City University, Ireland, 4Athlone Institute of Technology, Ireland, 5Dundalk 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 story-based 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 Andrews2
1Norwegian Centre for Mathematics Education, Norway, 2Stockholm 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 Wynne1, Lorraine Harbison*2
1CICE, Ireland, 2DCU, Ireland
TWG 22 Curricular Resources and Task Design in Mathematics Education:  Poster presentations
The association between engineering students’ self-reported mathematical identities and average grades in mathematics courses
Eivind Kaspersen*1, Birgit Pepin2, Svein Arne Sikko1
1Norwegian University of Science and Technology, Norway, 2Technische 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 Santos1, António Domingos*2
1Instituto Piaget, Portugal, 2Universidade 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 Huzita-Hatori axioms: An investigative activity in analytic geometry classes
Bruna Mayara Batista Rodrigues*1, Fabiana Chagas de Andrade2, Thais de Sales Ribeiro1
1University of Lisbon, Portugal, 2CEFET, 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 Keogh2
1Stockholm University, Department of Mathematics and Science Education, Sweden, 2Institute 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 Faggiano1, Maria Alessandra Mariotti2
1University of Bari, Italy, 2University of Siena, Italy
TWG 4 Geometry:  Paper presentations
The development of pre-service teachers' TPACK in the use of digital tools
Nimer Baya'a*1, Wajeeh Daher1,2, Rawan Anabousy1, Ahlam Anabousy1
1Al-Qasemi Academic College of Education, Israel, 2An-Najah 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 Domingos2
1Escola Básica 2º, 3º ciclos Fragata do Tejo, Portugal, 2Faculdade 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 Salinas-Hernández*1, Luis Moreno-Armella1, Isaias Miranda2
1Centro de Investigación y de Estudios Avanzados, Mexico, 2Centro 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 Pitta-Pantazi
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 Dreyfus1
1Tel Aviv University, Israel, 2Afeka - 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' autonomy-supportive 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 Haddad2
1Virtual University of Tunis, Tunisia, 2University 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 Soyak1, Aysenur Alp2
1Middle East Technical University, Turkey, 2Middle 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 Mesiti1, Yiming Cao2, Jarmila Novotna3
1University of Melbourne, Australia, 2Beijing Normal University, China, 3Charles 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 Sisman1, Busra Kirez*2
1Hacettepe University, Turkey, 2Hacettepe 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 quasi-Darwinism. 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 Niss2
1Aarhus University, Denmark, 2Roskilde 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 tool-based actions and gestures contribute to concept-building
Daniela Behrens*, Angelika Bikner-Ahsbahs
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 Barbieri2, Francesca Scorcioni2
1University of Modena e Reggio Emilia, Italy, 2IC 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 Heyd-Metzuyanim1, Talli Nachlieli2
1Technion, Israel, 2Levinsky 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 Amit1, Hodaya (Liora) Hoch*2,1
1Ben-Gurion University, Israel, 2Orot Israel College, Israel, 3Talpiot 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 Botana1, Tomas Recio*2, M. Pilar Velez3
1Universidade de Vigo, Spain, 2Universidad de Cantabria, Spain, 3Universidad 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 Cohen-Eliyahu
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 (1850-1950)
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 Rodrigues2
1UIDEF, Instituto de Educação,Universidade de Lisboa, Portugal, 2Escola 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 Ríordáin2
1DCU, Ireland, 2UCC, Ireland
TWG 9 Mathematics and Language:  Paper presentations
The socio-politics 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 Mellroth1
1Karlstad University, Sweden, 2City 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:  Poster presentations
The transition from high school to university mathematics: a multidimensional process
Amalia-Christina Bampili*1, Theodossios Zachariades1, Charalampos Sakonidis2
1National and Kapodistrian University of Athens, Greece, 2Democritus University of Thrace, Greece
TWG 14 University Mathematics Education:  Paper presentations
The use of artifacts and different representations by producing mathematical audio-podcasts
Christof Schreiber*, Rebecca Klose
Justus-Liebig-University; Department of Mathematics Education, Germany
TWG 24 Representations in Mathematics Teaching and Learning:  Paper presentations
The use of heuristic strategies in modelling activities
Peter Stender, Gabriele Kaiser*
University of Hamburg, Germany
TWG 6 Applications and Modelling:  Paper presentations
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:  Paper presentations
Theorising university mathematics teaching: The teaching triad within an activity theory perspective
Barbara Jaworski*1, Despina Potari2, Georgia Petropoulou3
1Loughborough University, UK, 2University of Athens, Greece, 3University of Athens, Greece
TWG 14 University Mathematics Education:  Paper presentations
To be or not to be an inflection point
Regina Ovodenko*1, Pessia Tsamir2
1Center for Educational Technology, Israel, 2Tel-Aviv University, Israel
TWG 14 University Mathematics Education:  Paper presentations
To err is human. The management and emotional implications of teacher error
Elizabeth Lake1,2
1UCL Institute of Education, UK, 2UEA, UK
TWG 8 Affect and Mathematical Thinking:  Paper presentations
Tool-based argumentation
Kalliopi Siopi*, Eugenia Koleza
University of Patras, Department of Primary Education, Greece
TWG 1 Argumentation and Proof:  Paper presentations
Towards an empirical validation of mathematics teachers' intuitive assessment practice exemplified by modelling tasks
Xenia-Rosemarie Reit
Goethe-University Frankfurt, Germany
TWG 21 Assessment in Mathematics Education:  Paper presentations
Towards argumentative grammars of design research
Arthur Bakker1,2
1Bremen University, Germany, 2Utrecht University, The Netherlands
TWG 17 Theoretical Perspectives and Approaches in Mathematics Education Research:  Paper presentations
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:  Paper presentations
Tracing mathematics-related belief change in teacher education programs
Çigdem Haser*, Isil Isler
Middle East Technical University, Turkey
TWG 8 Affect and Mathematical Thinking:  Paper presentations
Transitioning from definitions to proof: exploring non-Euclidean geometry in a college geometry course
Janessa Beach, Rebecca Dibbs*
Texas A&M University Commerce, USA
TWG 4 Geometry:  Paper presentations
Traveling in spatiality, in spatial sense
Catherine Houdement1,2
1Laboratoire de Didactique André Revuz (LDAR-EA 4434), France, 2Université de Rouen Normandie, ESPE, France
TWG 4 Geometry:  Paper presentations
"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:  Paper presentations
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:  Paper presentations
Undergraduates' reasoning while solving integration tasks: discussion of a research framework
Aaltje Berendina Aaten*1,2, Johan Deprez2, Gerrit Roorda1, Martin Goedhart1
1University of Groningen, The Netherlands, 2KU Leuven, Belgium
TWG 14 University Mathematics Education:  Paper presentations
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:  Paper presentations
Understanding the concept of vector subspace: A case study of Zimbabwean teachers
Lillias H.N. Mutambara, Sarah Bansilal*
University of KwaZulu-Natal, School of Education, South Africa
TWG 3 Algebraic Thinking:  Paper presentations
University students' understandings of concept relations and preferred representations of continuity and differentiability
Kristina Juter
Kristianstad University, Sweden
TWG 14 University Mathematics Education:  Paper presentations
Upper secondary mathematics teachers' beliefs expressed through metaphors
Marilena Pantziara*1, Marianna Karamanou2, Alexandra Petridou3
1Cyprus Pedagogical Institute, Cyprus, 2Ministry of Education and Culture, Cyprus, 3Centre of Educational Research and Evaluation, Cyprus
TWG 8 Affect and Mathematical Thinking:  Paper presentations
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:  Paper presentations
Use of analogies in teaching the concept of function: relation between Knowledge of Topics and Knowledge of Mathematics Teaching
Gonzalo Espinoza-Vásquez*1, Diana Zakaryan1, José Carrillo2
1Pontifical Catholic University of Valparaíso, Chile, 2University of Huelva, Spain
TWG 20 Mathematics Teacher Knowledge, Beliefs and Identity:  Paper presentations
Using a flipped classroom approach in the teaching of mathematics: a case study of a pre-service teachers class
Theodosia Prodromou
University of New England, Australia
TWG 15 Teaching Mathematics with Technology and Other Resources:  Paper presentations
Using a fraction Learning Trajectory as a tool to develop pre-service 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:  Paper presentations
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:  Paper presentations
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:  Paper presentations
Using auxiliary material for modelling
Carolina Guerrero-Ortiz*, Jaime Mena Lorca, Astrid Morales
Pontificia Universidad Católica de Valparaíso, Chile
TWG 6 Applications and Modelling:  Paper presentations
Using dynamic and interactive technological tools to support conceptual learning of equations among low- achieving students
Osama Swidan*1,2, Wajeeh Daher2,3, Nael Darawshi2
1Kaye Academic College, Israel, 2Al-Qasemi Academic College, Israel, 3Al-Najah National University, Israel
TWG 16 Learning Mathematics with Technology and Other Resources:  Paper presentations
Using dynamic worksheets to support functional thinking in lower secondary school
Edith Lindenbauer*1, Zsolt Lavicza2
1University College of Education Upper Austria, Austria, 2Johannes Kepler University, Austria
TWG 16 Learning Mathematics with Technology and Other Resources:  Paper presentations
Using external assessments for improving assessment practices of primary school teachers: a first study and some methodological questions
Nadine Grapin*1,2, Nathalie Sayac1,2
1Université Paris Est Créteil, France, 2, Laboratoire de Didactique André Revuz, France
TWG 21 Assessment in Mathematics Education:  Paper presentations
Using sport-related socially open-ended problems to coordinate decision-making, variability modeling and value awareness
Orlando González*1, Somchai Chitmun2
1Assumption University, Thailand, 2Tepleela School, Thailand
TWG 5 Probability and Statistics Education:  Paper presentations
Using spreadsheet for teaching probability in French high school
Bernard Parzysz1,2
1Université Paris-Diderot, France, 2Université, France
TWG 5 Probability and Statistics Education:  Paper presentations
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:  Paper presentations
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:  Paper presentations
Using tangible technology to multimodally support algebra learning: The MAL project
Thomas Janßen*, David Reid, Angelika Bikner-Ahsbahs, 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 Bolondi1, Roberto Capone*2, Federica Ferretti1
1Alma Mater Studiorum - University of Bologna, Italy, 2University 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:  Paper presentations
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:  Paper presentations
Visual attention while reading a multiple choice task by academics and students: A comparative eye-tracking approach
Miroslawa Sajka
Pedagogical University of Cracow, Poland
TWG 11 Comparative Studies in Mathematics Education:  Paper presentations
Visualizing Bayesian situations – about the use of the unit square
Andreas Eichler1, Markus Vogel*2, Katharina Böcherer-Linder3
1University of Kassel, Germany, 2University of Education Heidelberg, Germany, 3University of Education Freiburg, Germany
TWG 5 Probability and Statistics Education:  Paper presentations
Visuo-spatial abilities and geometry: a first proposal of a theoretical framework for interpreting processes of visualization
Elisa Miragliotta*1, Anna Baccaglini-Frank2
1University of Ferrara, Italy, 2University of Pisa, Italy
TWG 24 Representations in Mathematics Teaching and Learning:  Paper presentations
‘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:  Paper presentations
(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:  Paper presentations
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:  Paper presentations
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:  Paper presentations
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:  Paper presentations
What knowledge is necessary to encourage mathematical talk?
Gwen Ineson
Brunel University London, UK
TWG 20 Mathematics Teacher Knowledge, Beliefs and Identity:  Paper presentations
"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'Shea2, Sinead Breen3
1University College Dublin, Ireland, 2Maynooth University, Ireland, 3Dublin City University, Ireland
TWG 14 University Mathematics Education:  Paper presentations
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:  Paper presentations
When lecturers disagree on mathematics: The case of the root concept
Igor' Kontorovich
The University of Auckland, New Zealand
TWG 14 University Mathematics Education:  Paper presentations
When students use podcasts to share their own expertise in building proofs
Martine De Vleeschouwer, Marie-Ange 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:  Paper presentations
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 in-service 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:  Paper presentations
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:  Paper presentations
Writing fictional mathematical dialogues as a training and professional advancement tool for pre-service and in-service math teachers
Tikva Ovadiya
Oranim college, Israel
TWG 18 Mathematics Teacher Education and Professional Development:  Paper presentations
Written documentations in final exams with CAS
Johannes Beck
Julius-Maximilians Universität, Germany
TWG 21 Assessment in Mathematics Education:  Paper presentations
Young children's aesthetic development in the context of mathematical explanation
Manya Sundström*1, Esther Levensen2
1Umeå University, Sweden, 2Tel Aviv University, Israel
TWG 13 Early Years Mathematics:  Paper presentations
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:  Paper presentations