The title is that of a course with the same name, designed for teachers of mathematics. The rational for a course specifically on geometry was that "many of those currently teaching mathematics in school had little geometrical education". Teachers on the course experience geometry through problem solving, and learning to pose geometrical problems.…

Thanks to technological progress the world becomes more and more complicated. People stand in front of new and difficult problems that need to be solved. These are problems, the solutions of which are not universal, and cannot be learned. Many solutions require specific data that cannot be learned, as new data is part of the ongoing generation of…

The field of mathematics is complex, areas such as arithmetic, and geometry each consist of several sub-domains and encompass many cognitive processes. Achievement tests for elementary pupils assess a wide range of arithmetic skills such as number sense, procedural knowledge, and using problem solving strategies. Although mathematical tests often…

Decision exercises using a finite state machine and replacement systems are described in this second of two articles. For the first article, see MT No. 62, March, 1973, pp. 50-55. (DT)

Portions of interviews with children who are engaged in a problem solving activity are presented. The problem used is an "eel question" taken from the work of Piaget. The verbal responses of children are seen as a part of effective teaching, and this method of assessment is encouraged. (MP)

It is argued that a young child's perceptual skills form the basis for all future conceptual and mathematical learning. An experiment supports the argument. (MP)