Ellerton N. Toward Mathematics for All...History...2022

Textbook in PDF format

This book presents a history of mathematic between 1607 and 1865 in that part of mainland North America which is north of Mexico but excludes the present-day Canada and Alaska. Unlike most other histories of mathematics now available, the emphasis is on the gradual emergence of "mathematics for all" programs and associated changes in thinking which drove this emergence. The book takes account of changing ideas about intended, implemented and attained mathematics curricula for learners of all age. It also pays attention to mathematics itself, and to how it was taught and learned.
Front Matter
The Scope of This Book
Young Children’s Introduction to Mathematics in North America Between 1607 and 1865
The Influence of the Cyphering Tradition on North American Elementary- and Middle-School Mathematics Between 1607 and 1865
Mathematics Textbooks and the Gradual Decline in the Use of Middle- to Advanced-Level Abbaco Arithmetic 1607–1865
The Struggle for Algebra
Pre-College Geometry, Mensuration, Trigonometry, Surveying, and Navigation 1607–1865
College Mathematics, 1607–1865
Different Perspectives on Mathematics in North America 1607–1865
Toward Mathematics for All: Answers to Research Questions, Limitations, and Possibilities for Further Research
Back Matter