mathematics

Presents over one hundred motivational ways to teach key topics and concepts in high school mathematics, each with a stated objective, materials list, and discussion of technique or procedure; covers algebra, geometry, trigonometry, probability and statistics, and more.

Examines the sophisticated base 20 system developed by the ancient Maya, which included a value for zero.

Designed to ease the difficulties many students experience during the transition from arithmetic into the world of algebra.

Helps to master 15 math subjects through practicing and solving problems.

The author offers a breathtakingly new theory of language development that describes how language evolved in two stages and how its main purpose was not communication. He goes on to show that the ability to think mathematically arose out of the same symbol-manipulating ability that was so crucial to the very first emergence of true language. This book explains how our innate pattern-making abilities allow us to perform mathematical reasoning.

Most people have heard of the Mobius band. But the work and influence of August Mobius are more far-reaching than a topological toy. For some fifty years of the nineteenth century, August Mobius taught astronomy and researched in mathematics at Leipzig University. During those years, which saw the German nation move towards unification, German mathematics developed into the most powerful and influential in the world and German astronomers became the world leaders. How did this come about? In this fascinating, richly illustrated, and accessible book, leading scholars assess the contribution of Mobius and others of his time to the practice of mathematics and astronomy today. Mobius and his band has been written for all those interested in the historical development of ideas and their legacy, and thus both the general reader and specialists in particular fields will find much of interest.