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." This guide includes the General Introduction and "The World of Numbers." The program description includes suggestions for teaching the materials and using the work pages. Suggestions for organizing the program are also given. Worksheets for the students accompany the guide. (Author/SA)