Theorems in school : : from history, epistemology and cognition to classroom practice / / editor, Paolo Boero.
During the last decade, a revaluation of proof and proving within mathematics curricula was recommended; great emphasis was put on the need of developing proof-related skills since the beginning of primary school. This book, addressing mathematics educators, teacher-trainers and teachers, is publish...
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| Superior document: | New Directions in Mathematics and Science Education ; 2 |
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| TeilnehmendeR: | |
| Place / Publishing House: | Rotterdam, Netherlands ;, Taipei : : Sense Publishers,, [2007] 2007 |
| Year of Publication: | 2007 |
| Language: | English |
| Series: | New Directions in Mathematics and Science Education ;
2. |
| Physical Description: | 1 online resource (vi, 327 ); ill. ; |
| Notes: |
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Table of Contents:
- Preliminary Material / Paolo Boero
- The ongoing value of proof / Gila Hanna
- Theorems in school: An introduction / Paolo Boero
- Origin of mathematical proof / Gilbert Arsac
- The proof in the 20th century / Ferdinando Arzarello
- Students' proof schemes revisited / Guershon Harel
- Curriculum change and geometrical reasoning / Celia Hoyles and Lulu Healy
- The tradition and role of proof in mathematics education in Hungary / Julianna Szendrei-Radnai and Judit Török
- Cognitive functioning and the understanding of mathematical processes of proof / Raymond Duval
- Some remarks about argumentation and proof / Nadia Douek
- Making possible the discussion of "impossible in mathematics" / Greisy Winicki-Landman
- The development of proof making by students / Carolyn A. Maher , Ethel M. Muter and Regina D. Kiczek
- Approaching and developing the culture of geometry theorems in school / Marolina Bartolini Bussi , Paolo Boero , Franca Ferri , Rossella Garuti and Maria Alessandra Mariotti
- Construction problems in primary school / Maria G. Bartolini Bussi , Mara Boni and Franca Ferri
- Approaching theorems in grade VIII / Paolo Boero , Rossella Garuti and Enrica Lemut
- From dynamic exploration to "theory" and "theorems" (from 6th to 8th grades) / Laura Parenti , Maria Teresa Barberis , Massima Pastorino and Paola Viglienzone
- Geometrical proof / Maria Alessandra Mariotti
- The transition to formal proof in geometry / Ferdinando Arzarello , Federica Olivero , Domingo Paola and Ornella Robutti
- Further Reading / Paolo Boero.