The California Mathematics Standards are cynical, mind-numbing, and shallow. Instead of balancing problem solving, concept development, and skill acquisition, the standards are full of obsolete mathematics and devoid of problem solving. Students offering only an algorithm when asked for meaning have style without substance. Blind memorization is…

Too many approaches to mathematics instruction at the elementary level focus only on the production of correct answers rather than on the development of mathematical thinking skills. Author urges encouragement of children's own thought processes. (Author/PGD)

Children who come to school without numerical game-playing experience have trouble with math relationships in direct-instruction situations. This article explores the varied roles of active thinking, social interaction, previous knowledge, and child-initiated choice in children's development of math concepts. Self-esteem cannot be built by doing…