Toward Mathematics for All


Book Description

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 ages. It also pays attention to the mathematics itself, and to how it was taught and learned.










Some Truth, Some Validity, Some Opinion


Book Description

Some Truth, Some Validity, Some Opinion: Lessons from an Old Mathematics Teacher to New Mathematics Teachers By: David A. Crothamel David A. Crothamel has taught mathematics for thirty-eight years from the seventh grade level up to calculus. Throughout his many years of teaching, he has seen many times teachers skip over proof of the techniques. Students then tend to memorize how to get an answer without knowing the methodology behind it. Crothamel would like this book to be used as a guide for students to navigate the “whys” of some of the mathematics they study.




Bulletin - Bureau of Education


Book Description




The Grammar of the Machine


Book Description

During the late eighteenth and early nineteenth centuries, the American economy moved toward a manufacturing base and mass production, creating a demand for a literacy that encompassed not only the traditional alphabetic form of expression but also scientific and mathematical notation and spatial and graphic representation. How did the world of learning respond to this demand? What kinds of educational institutions, teachers, textbooks, and patterns of instruction emerged? Edward Stevens, Jr., describes the important technological changes that took place in antebellum America and the challenges they posed for education. Investigating the instruction, curricula, and textbooks used in the common schools, in the mechanics' institutes, and, specifically, at the Troy Female Seminary and the Rensselaer School in upstate New York, he demonstrates how advocates of technical literacy attempted to teach new skills. Stevens shows that the tensions between the liberal and the vocational, between a culture of print and a nonverbal culture of experience, persisted in technical education through the first half of the nineteenth century but were resolved temporarily by a common moral vision.







Tools of American Mathematics Teaching, 1800–2000


Book Description

From the blackboard to the graphing calculator, the tools developed to teach mathematics in America have a rich history shaped by educational reform, technological innovation, and spirited entrepreneurship. In Tools of American Mathematics Teaching, 1800–2000, Peggy Aldrich Kidwell, Amy Ackerberg-Hastings, and David Lindsay Roberts present the first systematic historical study of the objects used in the American mathematics classroom. They discuss broad tools of presentation and pedagogy (not only blackboards and textbooks, but early twentieth-century standardized tests, teaching machines, and the overhead projector), tools for calculation, and tools for representation and measurement. Engaging and accessible, this volume tells the stories of how specific objects such as protractors, geometric models, slide rules, electronic calculators, and computers came to be used in classrooms, and how some disappeared.