The life work of both John Dewey and Lev Vygotsky and the implications for pedagogy that each of the theorist's work has generated is well known in the field of education. However, it is seldom that the theorists' works are juxtaposed for pedagogical considerations for specific subject matter. This is for at least three reasons: first, Dewey, of…

Results of a study of the effects of a mathematics laboratory for college freshman mathematics showed that the laboratory produced higher achievement, affected attitude, and reduced the withdrawal-failure rate of students with a deficiency in mathematics. (DT)

Illustrates the use that can be made of aestheometry'' (the aesthetics of geometry) in stimulating student inquiry and in promoting interdisciplinary study by providing instructions for the construction of an illusion of a floating sphere in a pattern of threads. (AL)

The position of Droopy on a rectangular grid was used to motivate learning of coordinates. (MM)

A tentative approach to geometry by the Comprehensive School Mathematics Program (CSMP) is discussed. Included are descriptions of the content for courses in the elementary, middle, and secondary school mathematics. Both Euclidean and affine plane geometry are included. (JG)