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.

Tools of American Mathematics Teaching, 1800–2000 (Johns Hopkins Studies in the History of Mathematics, 3)

Science & Math

Kidwell, Peggy Aldrich

Ackerberg-Hastings, Amy

Roberts, David Lindsay

History & Philosophy

Johns Hopkins University Press

From the 1890s to the 1920s American mathematical research grew substantially in quantity and quality. However, few mathematicians were able to pursue research exclusively; most mathematicians, whether active researchers or not, were employed as teachers by colleges and universities. Their degree of interest in the teaching role varied greatly: while some shunned instructional issues, a few mathematicians became deeply involved not only in teaching undergraduates but in attempting to influence mathematics education in the secondary and even the elementary schools. This book seeks to understand these divisions among the mathematicians regarding pedagogy, to explore alliances and conflicts between mathematicians and other educators, and to explain the resulting effects on educational institutions and on the mathematicians themselves.

American Mathematicians as Educators, 1893--1923: Historical Roots of the "Math Wars"

Mathematics

Docent Press

This fascinating narrative history of math in America introduces readers to the diverse and vibrant people behind pivotal moments in the nation's mathematical maturation.
Once upon a time in America, few knew or cared about math. In Republic of Numbers, David Lindsay Roberts tells the story of how all that changed, as America transformed into a powerhouse of mathematical thinkers. Covering more than 200 years of American history, Roberts recounts the life stories of twenty-three Americans integral to the evolution of mathematics in this country. Beginning with self-taught Salem mathematician Nathaniel Bowditch's unexpected breakthroughs in ocean navigation and closing with the astounding work Nobel laureate John Nash did on game theory, this book is meant to be read cover to cover. 
Revealing the marvelous ways in which America became mathematically sophisticated, the book introduces readers to Kelly Miller, the first black man to attend Johns Hopkins, who brilliantly melded mathematics and civil rights activism; Izaak Wirszup, a Polish immigrant who survived the Holocaust and proceeded to change the face of American mathematical education; Grace Hopper, the "Machine Whisperer," who pioneered computer programming; and many other relatively unknown but vital figures. As he brings American history and culture to life, Roberts also explains key mathematical concepts, from the method of least squares, propositional logic, quaternions, and the mean-value theorem to differential equations, non-Euclidean geometry, group theory, statistical mechanics, and Fourier analysis. Republic of Numbers will appeal to anyone who is interested in learning how mathematics has intertwined with American history.

Republic of Numbers: Unexpected Stories of Mathematical Americans through History

Biographies & Memoirs

Historical

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Books by Roberts, David Lindsay