THE IMPORTANCE OF 'EXTENSIVE TEACHING' IN THE EDUCATION OF PROSPECTIVE TEACHERS OF MATHEMATICS

摘要

In recent discussions on university curricula we fostered the idea that an extensive teaching of mathematics is needed in the education of prospective teachers. Most universities only provide courses on methodological didactical issues - if any - or intensive teaching, more suitable for prospective researchers. The goal of this paper is to clarify the meaning of extensive teaching, in the sense already considered in the work of Guido Castelnuovo, and to discuss its relevance today.