Advances in Mathematics Education Research on Proof and Proving
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Advances in Mathematics Education Research on Proof and Proving

Advances in Mathematics Education Research on Proof and Proving


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International Edition


About the Book

Preface

Andreas J. Stylianides*; Guershon Harel

as899@cam.ac.uk

THEME 1: EPISTEMOLOGICAL ISSUES RELATED TO PROOF AND PROVING

Chapter 1. Reflections on proof as explanation

Gila Hanna - gila.hanna@utoronto.ca

Chapter 2. Working on proofs as contributing to conceptualization - The case of IR completeness

Viviane Durand-Guerrier*; Denis Tanguay

viviane.durand-guerrier@umontpellier.fr

Chapter 3. Types of epistemological justifications, with particular reference to complex numbers

Guershon Harel

harel@math.ucsd.edu

Chapter 4. Mathematical argumentation in elementary teacher education: The key role of the cultural analysis of the content

Paolo Boero*; Giuseppina Fenaroli; Elda Guala

boero@dima.unige.it

Chapter 5. Toward an evolving theory of mathematical practice informing pedagogy: What standards for this research paradigm should we adopt?

Keith Weber*; Paul Dawkins

keith.weber@gse.rutgers.edu

THEME 2: CLASSROOM-BASED ISSUES RELATED TO PROOF AND PROVING

Chapter 6. Constructing and validating the solution to a mathematical problem: The teacher's prompt

Maria Alessandra Mariotti*; Manuel Goizueta

mariotti21@unisi.it

Chapter 7. Addressing key and persistent problems of students' learning: The case of proof

Andreas J. Stylianides*; Gabriel J. Stylianides

as899@cam.ac.uk

Chapter 8. How can a teacher support students in constructing a proof?

Bettina Pedemonte

bettina.pedemonte@sjsu.edu

Chapter 9. Proof validation and modification by example generation: A classroom-based intervention in secondary school geometry

Kotaro Komatsu*; Tomoyuki Ishikawa; Akito Narazaki

kkomatsu@shinshu-u.ac.jp

Chapter 10. Classroom-based issues related to proofs and proving

Ruhama Even

ruhama.even@weizmann.ac.il

THEME 3: COGNITIVE AND CURRICULAR ISSUES RELATED TO PROOF AND PROVING

Chapter 11. Mathematical argumentation in pupils' written dialogues

Gjert-Anders Askevold; Silke Lekaus*

slek@hib.no

Chapter 12. The need for "linearity" of deductive logic: An examination of expert and novice proving processes

Shiv Smith Karunakaran

karunak3@msu.edu

Chapter 13. Reasoning-and-proving in algebra in school mathematics textbooks in Hong Kong

Kwong-Cheong Wong*; Rosamund Sutherland

wongkwongcheong@gmail.com

Chapter 14. Irish teachers' perceptions of reasoning-and-proving amidst a national educational reform

Jon D. Davis

jon.davis@wmich.edu

Chapter 15. About the teaching and learning of proof and proving: Cognitive issues, curricular issues and beyond

Lianghuo Fan*; Keith Jones

l.fan@southampton.ac.uk

THEME 4: ISSUES RELATED TO THE USE OF EXAMPLES IN PROOF AND PROVING

Chapter 16. How do pre-service teachers rate the conviction, verification and explanatory power of different kinds of proofs?

Leander Kempen

kempen@khdm.de

Chapter 17. When is a generic argument a proof?

David Reid*; Estela Vallejo Vargas

dreid@math.uni-bremen.de

Chapter 18. Systematic exploration of examples as proof: Analysis with four theoretical frameworks

Orly Buchbinder

orly.buchbinder@unh.edu

Chapter 19. Using examples of unsuccessful arguments to facilitate students' reflection on their processes of proving

Yosuke Tsujiyama*; Koki Yui

tsujiy


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Product Details
  • ISBN-13: 9783319890258
  • Publisher: Springer
  • Publisher Imprint: Springer
  • Height: 234 mm
  • No of Pages: 301
  • Series Title: Icme-13 Monographs
  • Sub Title: An International Perspective
  • Width: 156 mm
  • ISBN-10: 3319890255
  • Publisher Date: 04 Jun 2019
  • Binding: Paperback
  • Language: English
  • Returnable: Y
  • Spine Width: 17 mm
  • Weight: 494 gr


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