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Author:Alberto A. Martinez
Description: Sample the introduction from Negative Math, which shows that "unlike 2 + 2, some basic rules in mathematics were established essentially by convention.... We can make an algebra in which minus times minus is minus. And we can make another algebra in which 4 and +4 are not the same thing." Read reviews of the book, which aims to "raise historical consciousness of how new math actually originates, to encourage critical creativity in the design of new and useful mathematics." Martinez's math articles include "Dividing by Nothing" and "Euler's Mistake?" His publications in physics and other sciences have also included math chapters, available for download: "Coordinates Versus Vectors," "The Algebra of Motion," "Galileo and the Leaning Tower of Pisa," "Galileo's Pythagorean Heresy." Other articles include "Teaching Disagreements in Science and Math." Martinez teaches history of science and math at the University of Texas at Austin.

Levels: High School (9-12), College, Research
Languages: English
Resource Types: Articles, Books
Math Topics: Modern Algebra, History and Biography, Number Theory
Math Ed Topics: Public Understanding of Math

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