Visit NAP.edu/10766 to get more information about this book, to buy it in print, or to download it as a free PDF. For many people, free association with the word “mathematics” would produce strong, ...

Fifty years ago, “fractal” was born. In a 1975 book, the Polish-French-American mathematician Benoit B. Mandelbrot coined the term to describe a family of rough, fragmented shapes that fall outside ...

If you’ve ever heard the phrase “the music of the spheres,” your first thought probably wasn’t about mathematics. But in its historical origin, the music of the spheres actually was all about math. In ...

Almost 400 years ago, in The Assayer, Galileo wrote: “Philosophy is written in this grand book, the universe … [But the book] is written in the language of mathematics.” He was much more than an ...

How is math education different now from, say, in President Abraham Lincoln’s day? A new online exhibition sheds light on math’s long history. The exhibition is a collaboration between the National ...

Your institution does not have access to this book on JSTOR. Try searching on JSTOR for other items related to this book. Introduction: Networks and Symmetries, Decidable and Undecidable Introduction: ...

After 15 years of inquiry into children’s understanding and learning of whole numbers, I can sum up what I have learned very simply. To teach math, you need to know three things. You need to know ...