The Heart of Mathematics An Invitation to Effective Thinking [Loose-leaf]

Transform your mathematics course into an engaging and mind-opening experience for even your most math-phobic students. Now in its Fourth Edition, The Heart of Mathematics: An Invitation to Effective Thinking succeeds at reaching non-math, non-science-oriented majors, encouraging them to discover the mathematics inherent in the world around them. Infused with the authors' humor and enthusiasm throughout, The Heart of Mathematics introduces students to the most important and interesting ideas in mathematics while inspiring them to actively engage in mathematical thinking.1.???? FUN AND GAMES

An Introduction to Rigorous Thought

1.1? Silly Stories, Each with a Moral

Conundrums that Evoke Techniques of Effective Thinking

1.2? Nudges

Leading Questions and Hints for Resolving the Stories

1.3? The Punch Lines

Solutions and Further Commentary

1.4? From Play to Power

Discovering Strategies of Thought for Life

?

2.???? NUMBER CONTEMPLATION

2.1? Counting

How the Pigeonhole Principle Leads to Precision Through Estimation

2.2? Numerical Patterns in Nature

Discovering the Beauty of the Fibonacci Numbers

2.3? Prime Cuts of Numbers

How the Prime Numbers Are the Building Blocks of All Natural Numbers

2.4? Crazy Clocks and Checking Out Bars

Cyclical Clock Arithmetic and Bar Codes

2.5? Public Secret Codes and How to Become l<