Mathematical Encounters and Pedagogical Detours

Beschreibung

This book explores the idea that mathematics educators and teachers are also problem solvers and learners, and as such they constantly experience mathematical and pedagogical disturbances. Accordingly, many original tasks and learning activities are results of personal mathematical and pedagogical disturbances of their designers, who then transpose these disturbances into learning opportunities for their students. This learning-transposition process is a cornerstone of mathematics teacher education as a lived, developing enterprise. Mathematical Encounters and Pedagogical Detours unfold the process and illustrate it by various examples. The book engages readers in original tasks, shares the results of task implementation and describes how these results inform the development of new tasks, which often intertwine mathematics and pedagogy. Most importantly, the book includes a dialogue between the authors based on the stories of their own learning, which triggers continuous exploration of learning opportunities for their students.
This book explores the idea that mathematics educators and teachers are also problem solvers and learners, and as such they constantly experience mathematical and pedagogical disturbances. Accordingly, many original tasks and learning activities are results of personal mathematical and pedagogical disturbances of their designers, who then transpose these disturbances into learning opportunities for their students. This learning-transposition process is a cornerstone of mathematics teacher education as a lived, developing enterprise. Mathematical Encounters and Pedagogical Detours unfold the process and illustrate it by various examples. The book engages readers in original tasks, shares the results of task implementation and describes how these results inform the development of new tasks, which often intertwine mathematics and pedagogy. Most importantly, the book includes a dialogue between the authors based on the stories of their own learning, which triggers continuous exploration of learning opportunities for their students.
Transposes personal mathematical and pedagogical disturbances into tasks and learning opportunities Deepens potential mathematics knowledge An essential text for Mathematics Education Professional Development courses

Autor*in

Boris Koichu

Themen in »Mathematical Encounters and Pedagogical Detours«

Task design Narrative inquiry Problem solving Problem posing Using historical materials in mathematics study Dialogical method Number theory Algebra Geometry Mathematical disturbance Pedagogical disturbance Reversed heuristic engineering Mathematics educator professional development Education of prospective mathematics educators learning and instruction

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“A prominent feature of this book is stories of disturbance and resulting learning opportunities. … the ideas presented in this book are not for beginning mathematics teachers, but are definitely worth considering by experienced mathematics teachers wanting to give their students an opportunity to experience … real mathematical discovery.” (Annie Selden, MAA Reviews, April 10, 2022)
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