The Mathematics Curriculum: from Graphs to Calculus
This book first published in 1977 is about graphs, their drawing, their interpretation, their development and their use. It discusses the teaching of graphs from their early introduction and as far as the beginnings of integral and differential calculus. The book also places the teaching of graphs in an historical context as it reviews the curriculum at the time and the textbooks available.
The first five chapters set the scene by discussing graphical work and functions. Two separate themes develop from this: area leading to integration, and gradient leading to differentiation. These themes are developed throughout the book in parallel with developments based on students' experiences of distance, time and speed. The chapters on area and integration always precede the corresponding chapters on gradient and differentiation, because the authors believed that area is conceptually simpler than gradient. Chapters 9 and 10 on numbers and limits take their place because they provide essential background and Chapter 6 covers Some Special Graphs. A detailed contents page is included.
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- The Mathematics Curriculum
- The Mathematics Curriculum: from Graphs to Calculus