These materials were designed to provide a logical development of the number systems from the natural numbers through the real number system. The course attempts to develop pedagogical strategies which will enable naive mathematics students to cope with its content. Revised versions of these materials will be used with prospective elementary school teachers. The content of the course is predetermined but the pedagogy is experimental. Recommendations of the Cambridge Conference on School Mathematics regarding elementary school mathematics were given serious consideration in the development of the topics included in this course. [Not available in hardcopy due to marginal legibility of original document]. (FL)