Challenges abstract mathematics requirements in U.S. high schools. Refutes various philosophical and psychological assumptions underlying math instruction, particularly the correlation between simple numbers and the physical world, the math/logical thinking connection, and frequency of use arguments. Suggests that high schools require only one…

Proposes a new geometry curriculum for motivating middle school students. Discusses the treatment of geometry including visual justifications of geometric phenomena, examination of the properties of various common geometric figures, use of art and architecture, and inspection of geometric transformations. Eleven references are listed. (YP)

Confronts a widespread prejudice about mathematical knowledge, that mathematics is "culture-free," by demonstrating alternative constructions of Euclidean geometrical ideas developed from the culture of Mozambique. As well as establishing the educational power of these constructions, the article illustrates the methodology of…