Use small group and class discussions to enhance the mathematical concepts discussed in "The Number Devil," by Hans Magnus Enzensberger. Chapters 11 and 12 introduce the reader to the mathematicians behind the math is several of the dreams along with other mathematicians of equal (and with Gauss, greater) significance.
Keywords: history of math, women in math, prime number, exponents, Fermat's Last Theorem, traveling salesman problem, Bertrand Russel, paradox, Felix Klein, klein bottle, Georg Cantor infinity, Leonhard Euler, Euler;s formula (characteristic), Carl Friedrich Gauss, irrational numbers, distribution of primes
Primality test: given a positive integer, is it prime?
Eratosthenes Sieve: create the sieve to find prime numbers
Goldbach conjecture: for any even integer, find two primes that sum to that integer