A discussion of "new math"; "old math" and the ways children learn. (CS)

A method of study which is inefficient but used by large numbers of students taking courses in mathematics is described. The wide relevance of the problem, for subjects other than mathematics, is also examined. (MP)

The aims of the article are: (1) to outline the general tenets of the "back to basics" movements; (2) to indicate how these tenets go counter to emerging research on hemispheric specialization; and (3) to suggest methods which are brain-compatible and likely to produce competent creative problem solvers. (Author/TG)

Responds individually to Shoenfeld's objections that Ohlsson, Ernst, and Rees' model is unclear; that the hypotheses about learning are unjustified; that the models have not been tested against extant data; and that it is unclear whom the model models. (MDH)

Defines "skill-to-meaning" instruction. Describes research designed to determine the effectiveness of skill-to-meaning mathematics instruction for educable mentally handicapped children. Discusses educational implications of the study results and notes the benefits of meaning for handicapped children. (SB)

Proposes that although the past 30 years have seen increasing efforts to make mathematics more relevant and useful, schools continue to fail. Argues that forced rote learning is the direct cause of this failure and that improved teaching methods must be developed. Urges that shifts in methodology be phased in gradually. (TW)