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." This guide reviews some basic numerical activities and introduces some new concepts. Topics included are composition, multiples and divisors, combinatorics, the minicomputer, decimals, multiplication, fractions and division. The standard minicomputer moves are reviewed. (Author/SA)