Working group 4
Algebraic thinking and mathematics education
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TABLE OF CONTENTS
- Introduction / Janet Ainley, Giorgio T. Bagni, Lisa Hefendehl–Hebeker, Jean–Baptiste Lagrange
- The effects of multiple representations-based instruction on seventh grade students’ algebra performance / Oylum Akkus, Erdinc Cakiroglu
- Offering proof ideas in an algebra lesson in different classes and by different teachers / Michal Ayalon, Ruhama Even
- Rafael Bombelli’s Algebra (1572) and a new mathematical “object”: a semiotic analysis / Giorgio T. Bagni
- Cognitive configurations of pre-service teachers when solving an arithmetic-algebraic problem / Walter F. Castro, Juan D. Godino
- Transformation rules: a cross-domain difficulty / Marie-Caroline Croset
- Interrelation between anticipating thought and interpretative aspects in the use of algebraic language for the construction of proofs in elementary number theory / Annalisa Cusi
- Epistemography and algebra / Jean-Philippe Drouhard
- Sámi culture and algebra in the curriculum / Anne Birgitte Fyhn
- Problem solving without numbers – An early approach to algebra / Sandra Gerhard
- The ambiguity of the sign / Bernardo Gómez, Carmen Buhlea
- Behind students’
spreadsheet competencies: their achievement in algebra? A study in a
French vocational school / Mariam Haspekian, Eric Bruillard
- Developing Katy’s algebraic structure sense / Maureen Hoch, Tommy Dreyfus
- Children’s understandings of algebra 30 years on: what has changed? / Jeremy Hodgen, Dietmar Kuchemann, Margaret Brown, Robert Coe
- Presenting
equality statements as diagrams / Ian Jones
- Approaching functions via multiple representations: a teaching experiment with Casyopee / Jean-Baptiste Lagrange, Tran Kiem Minh
- Equality relation and structural properties / Carlo Marchini, Anne Cockburn, Paul Parslow-Williams, Paola Vighi
- Structure of algebraic competencies / Reinhard Oldenburg
- Generalization and control in algebra / Mabel Panizza
- From area to number theory: a case study / Maria Iatridou, Ioannis Papadopoulos
- Allegories in the teaching and learning of mathematics / Reinert A. Rinvold, Andreas Lorange
- Role of an artefact of dynamic algebra in the conceptualisation of the algebraic equality / Giampaolo Chiappini, Elisabetta Robotti, Jana Trgalova
- Communicating a sense of elementary algebra to preservice primary teachers / Franziska Siebel, Astrid Fischer
- Conception of variance and invariance as a possible passage from early school mathematics to algebra / Ilya Sinitsky, Bat-Sheva Ilany
- Growing patterns as examples for developing a new view onto algebra and arithmetic / Claudia Böttinger, Elke Söbbeke
- Steps towards a structural conception of the notion of variable / Annika M. Wille
