The first goal of this article to show the profound difference between how equality and similarity are understood in Greek geometry and how they are presented in modern mathematics classes. It highlights that the formula "equal-and-similar" reflects the distinct character of "equal" and "similar" as signs in Greek…

Four periods of history are reviewed in an effort to build an informative background on the evolution of mathematics as a serious study in the schools. These four periods are (1) 300 B.C., (2) the second quarter of the 17th century, (3) the second quarter of the 19th century, and (4) the four decades of the 20th century from 1925 to 1965. (RP)

Assessed was the performance of subjects who had been exposed to transformational geometry treatment. The performance test consisted of geometry achievement and spacial ability measures. Second and third grade subjects were randomly assigned to experimental and control groups. The experimentals received a twelve lesson treatment and the controls a…

This paper, the author's introductory remarks at a British conference concerning Modern Mathematics and the Teaching of Science, describes the contrasting objectives of students, mathematicians, and scientists with respect to the mathematics curriculum. (SD)

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

The second part of Course III includes a study of probability, polynomial, rational and circular functions, and informal space geometry. The chapter on probability presents such topics as probability measure, outcome sets and events, and overview of topics studied in Courses I and II. Chapters on functions include polynomial algebra concepts and…