Dreams of Calculus: Perspectives on Mathematics Education

A first-class debate book on the crucial issues of current mathematics teaching

The authors offer startling evidence that computers are changing mathematics in a profound way

Raises the question of how to alter teaching in mathermatics as a result of the computer’s influence on the field

Table of Contents

Part I Perspectives
Chapter 1 Introduction
Chapter 2 What? How? For Whom? Why?
Chapter 3 A Brief History of Mathematics Education
Chapter 4 What is Mathematics?
Chapter 5 Virtual Reality and the Matrix
Chapter 6 Mountain Climbing
Chapter 7 Scientific Revolutions
Chapter 8 Education is Based on Science
Chapter 9 The Unreasonable Effectiveness of Mathematics in the Natural Sciences?
Chapter 10 Do We live in “The Best of Worlds”?
Chapter 11 The Reasonable Effectiveness of Computational Mathematics
Chapter 12 Jazz/Pop/Folk vs. Classical Music
Chapter 13 The Right to Not Know
Chapter 14 An Agenda

Part II Essence
Chapter 15 A Very Short Calculus Course
Chapter 16 The Solar System
Chapter 17 Turbulence and the Clay Prize
Chapter 18 Do Mathematicians Quarrel?

Part III Appendix
Appendix A Comments on the Directives of the Mathematics Delegation
Appendix B Preface to Body&Soul
Appendix C Public Debate