Textbook analyses on reasoning-and-proving: Significance and methodological challenges

The activity of 'reasoning-and-proving' can serve as a vehicle to mathematical sense making and is thus important for students' learning of mathematics at all levels of education. Yet, reasoning-and-proving does not receive appropriate attention in typical classroom practice, and many...

詳細記述

書誌詳細
第一著者: Stylianides, G
フォーマット: Journal article
言語:English
出版事項: 2014
その他の書誌記述
要約:The activity of 'reasoning-and-proving' can serve as a vehicle to mathematical sense making and is thus important for students' learning of mathematics at all levels of education. Yet, reasoning-and-proving does not receive appropriate attention in typical classroom practice, and many students face serious difficulties with it. One important, albeit underexplored and insufficiently exploited, leverage point for supporting classroom work on reasoning-and-proving is textbooks. As a first step towards a possible longer-term goal to develop textbooks that can appropriately support classroom work on reasoning-and-proving, it is necessary to understand how reasoning-and-proving is treated in existing textbooks and to grapple with the many methodological challenges that surround textbook analyses on reasoning-and-proving. © 2014.