Demonstrated are binary operations on whole numbers which are commutative but not associative, or associative but not cummutative. Also presented are sets of numbers within which the Unique Factorization Theorem does not hold true. (JP)

An instructor taught one group of college freshmen using a modified form of traditional mathematics by including most of the concepts in modern texts, but also assigning a large number of problems for homework; the second group used a modern textbook with less problems for practice. The modified traditional group performed significantly better in…

Discussed are possible lessons for teaching the algebraic concepts of variables, rational expressions, and functions. (CT)

The distance between two points in the plane defined as the distance traveled from one point to the other by moving parallel to the coordinate axis is called the Manhattan metric. Resulting geometric figures based on this measure are discussed. (JP)

Discussed are possible lessons for teaching prime numbers, composite numbers, factoring, and fractions. (CT)

Discussed are several possible methods of teaching a geometry lesson on angles and arcs. (CT)

An anecdote shows why children studying mathematics should be given freedom to explore, generalize, classify, and originate proofs. (RS)