This guide represents the final experimental version of a pilot project which was conducted in the United States between 1973 and 1976. The ideas and the manner of presentation are based on the works of Georges and Frederique Papy. They are recognized for 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 obtaining materials for lessons. A Day-by-Day Guide suggests the organization of the material in an 18-week period. Three workbooks are included which provide students with individualized work. Two story-workbooks are also included. The workbooks are written at three levels of difficulty and students are encouraged to work at the easiest level. Questions most frequently asked about the program by teachers are answered in this guide. (Author/SA)