Universitat Bielefeld, Institut fur Didaktik der Mathematik, Schriftenreihe des IDM, 3/1974. (University of Bielefeld, Institute for the Teaching of Mathematics, Series of Publications of the IDM, 3/1974.)

This document contains 13 papers presented at a conference concerned with the role of geometry in present day mathematics teaching. Of the six papers written in English, one looks at the Euclidean tradition in teaching mathematics, the algebraisation of geometry, and transformation geometry, and concludes with a discussion of twelve topics which would be covered in a comprehensive organization of the teaching of geometry. A second paper discusses visualizing in mathematics, while a third reports on a combined algebra-geometry curriculum for Japanese secondary schools. A fourth looks at the solution of problems by geometrical methods, giving 14 examples of problems, and a fifth paper discusses the solution of polynomial equations. A sixth paper advocates that topics from topology, probability, and operations research be included in geometry. Among the seven papers written in German, one discusses recent trends in teaching geometry, a second is concerned with the role of intuition, a third looks at the place of descriptive geometry, and a fourth considers geometry at the primary school level. A fifth paper exhibits a variety of approaches to geometrical thinking through organized sets of problems, a sixth is concerned with a progressive pedagogy of mathematics, and a seventh paper reports on a problem oriented approach to geometry starting from combinatorial geometry. A final paper (also written in German) reports on the discussions in the working groups at the conference. (DT)