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Paper presentations
TWG 3 Algebraic Thinking
Suite 691
TWG leader: Reinhard Oldenburg
TWG3.PA1 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
TWG3.PA2 The effect of two intervention courses on students’ early algebraic thinking
Maria Chimoni*, Demetra Pitta-Pantazi
University of Cyprus, Cyprus
TWG3.PA3 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
TWG3.PA4 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
TWG3.PA5 ‘Father Woodland': A learning environment to facilitate the development of algebraic thinking
Ioannis Papadopoulos*, Nafsika Patsiala
Aristotle University of Thessaloniki, Greece
TWG3.PA6 Aspects of proficiency in elementary algebra
Guido Pinkernell*1, Christian Düsi2, Markus Vogel1
1University of Education, Germany, 2Cooperative State University Baden-Württemberg, Germany
TWG3.PA7 Functional thinking and generalisation in third year of primary school
Eder Pinto*, María C. Cañadas
University of Granada, Spain
TWG3.PA8 Didactic transposition in school algebra: The case of writing equations of parallel and perpendicular lines
Valentina Postelnicu
Texas A&M University, USA
TWG3.PA9 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
TWG3.PA10 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
TWG3.PA11 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
TWG3.PA12 Making implicit potential explicit- key ideas of algebraic thinking in primary school
Anna Susanne Steinweg
University of Bamberg, Germany
TWG3.PA13 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
TWG3.PA14 Shape patterning tasks: An exploration of how children build upon their observations when asked to construct general terms.
Aisling Twohill
Dublin City University, Ireland
TWG3.PA15 Graphing logarithmic functions: Multiple interpretations of logarithms as a basis for understanding
Christof Weber
School of Education, University of Applied Sciences Northwestern Switzerland, Switzerland
TWG3.PA16 Conceptualizing the core of the function concept - A facet model
Carina Zindel
TU Dortmund University, Germany