This guide represents the final experimental version of a pilot project conducted in the United States between 1973 and 1976. The ideas and manner of presentation are based on the works of Georges and Frederique Papy. They are recognized as having introduced colored arrow drawings ("papygrams") and models of our numeration system (the Papy "minicomputer") into the teaching of mathematics at the elementary and secondary level in Belgium. This program follows the "spiral approach." Suggestions are given for acquiring materials for lessons. This guide is divided into four sections which include: Notes to the Teacher, Suggested Schedule of Lessons, Questions and Answers About the Comprehensive School Mathematics Program, and The World of Numbers. Worksheets for the students accompany the guide. (Author/SA)