Literaturnachweis - Detailanzeige
Autor/in | Miyakawa, Takeshi |
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Titel | Functions of proof: a comparative analysis of French and Japanese national curricula and textbooks. |
Quelle | Aus: Jones, Keith (Hrsg.): Proceedings of the International Conference on Mathematics Textbook Research and Development (ICMT-2014). Southampton: University of Southampton (2014) S. 333-338
PDF als Volltext |
Beigaben | grafische Darstellungen; Literaturangaben S. 338 |
Sprache | englisch |
Dokumenttyp | online; Sammelwerksbeitrag |
ISBN | 978-0-85432-984-7; 978-0-85432-985-4 |
Schlagwörter | Sekundarstufe I; Schulbuch; Euklidische Geometrie; Mathematikunterricht; Online-Publikation; Frankreich; Japan |
Abstract | The aim of this paper is to identify, through a comparative analysis of French and Japanese national curricula and textbooks, different functions attributed to and/or played by proof in geometry, and clarify the relations between the identified functions and the nature of related objects (e.g., theory, statement, diagram). As a result, it is made clear that proofs in two countries play some functions in different ways, and two countries take distinct positions on the choice of a raison d'être of proof (reason why proof is necessary in mathematics) around justification function: justification without perception in France and justification of general case in Japan. The analysis also shows that the functions identified in curricula and textbooks affect and/or are affected by the nature of related objects. For example, justification without perception is closely related to the theoretical geometry as an object to be taught, and provokes the use of 'incorrect' diagrams in French textbooks. |
Erfasst von | Leibniz-Institut für Bildungsmedien | Georg-Eckert-Institut (GEI), Braunschweig |
Update | 2017/1 |