The Learning and Teaching of Calculus
eBook - ePub

The Learning and Teaching of Calculus

Ideas, Insights and Activities

John Monaghan, Robert Ely, Márcia M.F. Pinto, Mike Thomas

  1. 240 pages
  2. English
  3. ePUB (mobile friendly)
  4. Available on iOS & Android
eBook - ePub

The Learning and Teaching of Calculus

Ideas, Insights and Activities

John Monaghan, Robert Ely, Márcia M.F. Pinto, Mike Thomas

Book details
Table of contents
Citations

About This Book

This book is for people who teach calculus – and especially for people who teach student teachers, who will in turn teach calculus. The calculus considered is elementary calculus of a single variable. The book interweaves ideas for teaching with calculus content and provides a reader-friendly overview of research on learning and teaching calculus along with questions on educational and mathematical discussion topics.

Written by a group of international authors with extensive experience in teaching and research on learning/teaching calculus both at the school and university levels, the book offers a variety of approaches to the teaching of calculus so that you can decide the approach for you. Topics covered include

  • A history of calculus and how calculus differs over countries today
  • Making sense of limits and continuity, differentiation, integration and the fundamental theorem of calculus (chapters on these areas form the bulk of the book)
  • The ordering of calculus concepts (should limits come first?)
  • Applications of calculus (including differential equations)

The final chapter looks beyond elementary calculus. Recurring themes across chapters include whether to take a limit or a differential/infinitesimal approach to calculus and the use of digital technology in the learning and teaching of calculus. This book is essential reading for mathematics teacher trainers everywhere.

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Information

Publisher
Routledge
Year
2023
ISBN
9781000917666
Edition
1
Topic
Bildung
Subtopic
Bildung Allgemein

Table of contents

  1. Cover
  2. Endorsements
  3. Half Title
  4. Series
  5. Title
  6. Copyright
  7. Contents
  8. Series foreword
  9. Acknowledgement
  10. 1 Introduction
  11. 2 Calculus across time and over countries
  12. 3 Making sense of limits and continuity
  13. 4 Making sense of differentiation
  14. 5 Integration and the fundamental theorem of calculus
  15. 6 Interlude: the ordering of chapters 3, 4 and 5
  16. 7 Calculus applications: differential equations and integration
  17. 8 Beyond elementary calculus
  18. Index
Citation styles for The Learning and Teaching of Calculus

APA 6 Citation

Monaghan, J., Ely, R., Pinto, M., & Thomas, M. (2023). The Learning and Teaching of Calculus (1st ed.). Routledge. Retrieved from https://www.perlego.com/book/3852797 (Original work published 2023)

Chicago Citation

Monaghan, John, Robert Ely, Márcia Pinto, and Mike Thomas. (2023) 2023. The Learning and Teaching of Calculus. 1st ed. Routledge. https://www.perlego.com/book/3852797.

Harvard Citation

Monaghan, J. et al. (2023) The Learning and Teaching of Calculus. 1st edn. Routledge. Available at: https://www.perlego.com/book/3852797 (Accessed: 26 June 2024).

MLA 7 Citation

Monaghan, John et al. The Learning and Teaching of Calculus. 1st ed. Routledge, 2023. Web. 26 June 2024.