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Mathematical Encounters and Pedagogical Detours

Stories of Disturbance and Learning Opportunities in Teacher Education

  • Book
  • © 2021

Overview

Authors:
  1. Boris Koichu

    1. Department of Science Teaching, Weizmann Institute of Science, Rehovot, Israel

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    You can also search for this author in PubMed   Google Scholar

  2. Rina Zazkis

    1. Faculty of Education, Simon Fraser University, Vancouver, Canada

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    You can also search for this author in PubMed   Google Scholar

  • Transposes personal mathematical and pedagogical disturbances into tasks and learning opportunities
  • Deepens potential mathematics knowledge
  • An essential text for Mathematics Education Professional Development courses

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Table of contents (7 chapters)

  1. Front Matter

    Pages i-xii
    Download chapter PDF

  2. Disturbance as a Driving Force

    • Boris Koichu, Rina Zazkis
    Pages 1-16

  3. A Fictional Dialogue on Infinitude of Primes

    • Boris Koichu, Rina Zazkis
    Pages 17-38

  4. Encounters with Euclidean Propositions

    • Boris Koichu, Rina Zazkis
    Pages 39-72

  5. Stories on Problem-Solving Instruction

    • Boris Koichu, Rina Zazkis
    Pages 73-104

  6. Encounters with Cardano’s Method

    • Boris Koichu, Rina Zazkis
    Pages 105-144

  7. Synthesizing Exception-Barring and What-If-Not: If Not, What Yes?

    • Boris Koichu, Rina Zazkis
    Pages 145-164

  8. From “Obviously Wrong” Methods to Surprisingly Correct Answers

    • Boris Koichu, Rina Zazkis
    Pages 165-203

  9. Back Matter

    Pages 205-210
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Keywords

About this book

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.

Reviews

“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)

Authors and Affiliations

  • Department of Science Teaching, Weizmann Institute of Science, Rehovot, Israel

    Boris Koichu

  • Faculty of Education, Simon Fraser University, Vancouver, Canada

    Rina Zazkis

About the authors

Boris Koichu is an Associate Professor at the Department of Science Teaching of the Weizmann Institute of Science. His research interests are in the area of mathematical problem solving and problem posing, from middle school to university. Part of his research focuses on exploring mechanisms of collaborative problem solving in choice-affluent learning environments, such as a dialogical classroom or an online forum. Another part of his research is devoted to implementability of mathematics education research on problem solving and problem posing, by means of creating long-term co-learning partnerships between mathematics teachers and mathematics education researchers.

Rina Zazkis Rina Zazkis is a Professor at Simon Fraser University in the Faculty of Education and an Associate Member in the Department of Mathematics. Her research interests are in mathematics education at the undergraduate level and teacher education, focusing on the uses ofmathematical knowledge in teaching. She conducted extensive research on teaching and learning of elementary Number Theory.  She is interested in storytelling and dialogic approaches in teaching and research. In 2016 Zazkis was appointed as Tier 1 Canada Research Chair, a prestigious recognition for excellence in research and research training.


Bibliographic Information

  • Book Title: Mathematical Encounters and Pedagogical Detours

  • Book Subtitle: Stories of Disturbance and Learning Opportunities in Teacher Education

  • Authors: Boris Koichu, Rina Zazkis

  • DOI: https://doi.org/10.1007/978-3-030-58434-4

  • Publisher: Springer Cham

  • eBook Packages: Education, Education (R0)

  • Copyright Information: Springer Nature Switzerland AG 2021

  • Hardcover ISBN: 978-3-030-58433-7Published: 05 February 2021

  • Softcover ISBN: 978-3-030-58436-8Published: 05 February 2022

  • eBook ISBN: 978-3-030-58434-4Published: 04 February 2021

  • Edition Number: 1

  • Number of Pages: XII, 210

  • Number of Illustrations: 24 b/w illustrations, 39 illustrations in colour

  • Topics: Mathematics Education, Learning & Instruction

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