Working group 2
Argumentation and proof
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TABLE OF CONTENTS
- Introduction / Maria Alessandra Mariotti, Leanor Camargo, Patrick Gibel, Kristina Reiss
- Understanding, visualizability and mathematical explanation / Daniele Molinini
- Argumentation and proof: a discussion about Toulmin's and Duval's models / Thomas Barrier, Anne-Cécile Mathé, Viviane Durand-Guerrier
- Why do we need proof / Kirsti Hemmi, Clas Löfwall
- Proving as a rational behaviour: Habermas' construct of rationality as a comprehensive frame for research on the teaching and learning of proof / Francesca Morselli, Paolo Boero
- Experimental mathematics and the teaching and learning of proof / Maria G. Bartolini Bussi
- Conjecturing and proving in dynamic geometry: the elaboration of some research hypotheses / Anna Baccaglini-Frank, Maria alessandra Mariotti
- The algebraic manipulator of alnuset: a tool to prove / Bettina Pedemonte
- Visual proofs: an experiment / Cristina Bardelle
- Teachers’ views on the role of visualisation and didactical intentions regarding proof / Irene Biza, Elena Nardi, Theodossios Zachariades
- Modes of argument representation for proving – the case of general proof / Ruthi Barkai, Michal Tabach, Dina Tirosh, Pessia Tsamir, Tommy Dreyfus
- Mathematics teachers’ reasoning for refuting students’ invalid claims / Despina Potari, Theodossios Zachariades, Orit Zaslavsky
- Student justifications in high school mathematics / Ralph-Johan Back, Linda Mannila, Solveig Wallin
- “Is that a proof?”: an emerging explanation for why students don’t know they (just about) have one / Manya Raman, Jim Sandefur, Geoffrey Birky, Connie Campbell, Kay Somers
- “Can a proof and a counterexample coexist?” A study of students’ conceptions about proof / Andreas J. Stylianides, Thabit Al-Murani
- Abduction and the explanation of anomalies: the case of proof by contradiction / Samuele Antonini, Maria Alessandra Mariotti
- Approaching proof in school: from guided conjecturing and proving to a story of proof construction / Nadia Douek
