For students having had instruction in plane affine geometry and two-dimensional vector spaces. The author describes how the metric concepts of distance and orthogonality can be introduced to secondary school students by the use of conics. (JG)

The 1959 Royaumont seminar "New Thinking in School Mathematics," having agreed on the need for modernization, recommended that a second group of experts work out detailed synopses of the entire subject matter of secondary school mathematics. This book is the report of the second seminar and contains the Dubrovnik Program which stimulated…

The author remarks on the purpose(s) and content of existing geometry courses and offers alternative purposes and goals for geometry courses and some consequences of this alternative point of view. (JG)

Five recommendations for teaching geometry in elementary and secondary school are presented. These recommendations are a result of the Comprehensive School Mathematics Program second international conference held to investigate the teaching of geometry. (JG)

The author examines conceptual and logical difficulties involved in learning and teaching axiomatic geometry. An organization of the school program in geometry from grade 1 through grade 12 is proposed. (JG)

This is Part III of the first volume of the proceedings of the Committee on the Undergraduate Program in Mathematics (CUPM) Geometry Conference, held at Santa Barbara in June, 1967. The purpose of the conference was to consider the status of geometry in colleges at the undergraduate level. The conference, attended by undergraduate mathematics…

This document is a progress report on the implementation of the recommendations of the Commission on Mathematics regarding the teaching of mathematics in secondary schools. Data were obtained from a survey of about 38,000 students who represented more than 7,500 secondary schools in the United States and who took College Board Achievement tests…

A new one-semester course in geometry was designed, less axiomatic in structure yet including content traditionally contained in a first course in geometry. Conducting original investigations, constructing definitions, developing arguments to explain relationships, and creating resource materials are additional objectives, with many experiences in…

After a discussion of philosophy and learning processes and theories, the author presents rationale for teaching axiomatics in geometry including traditional and modern transformational approaches. (JG)