
The Learning and Teaching of Calculus
Ideas, Insights and Activities
- 240 pages
- English
- ePUB (mobile friendly)
- Available on iOS & Android
The Learning and Teaching of Calculus
Ideas, Insights and Activities
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.
Frequently asked questions
- Essential is ideal for learners and professionals who enjoy exploring a wide range of subjects. Access the Essential Library with 800,000+ trusted titles and best-sellers across business, personal growth, and the humanities. Includes unlimited reading time and Standard Read Aloud voice.
- Complete: Perfect for advanced learners and researchers needing full, unrestricted access. Unlock 1.4M+ books across hundreds of subjects, including academic and specialized titles. The Complete Plan also includes advanced features like Premium Read Aloud and Research Assistant.
Please note we cannot support devices running on iOS 13 and Android 7 or earlier. Learn more about using the app.
Information
Table of contents
- Cover
- Endorsements
- Half Title
- Series
- Title
- Copyright
- Contents
- Series foreword
- Acknowledgement
- 1 Introduction
- 2 Calculus across time and over countries
- 3 Making sense of limits and continuity
- 4 Making sense of differentiation
- 5 Integration and the fundamental theorem of calculus
- 6 Interlude: the ordering of chapters 3, 4 and 5
- 7 Calculus applications: differential equations and integration
- 8 Beyond elementary calculus
- Index