This guide represents the final experimental version of a pilot project conducted in the Unites 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 the Language of Strings and Arrows, Geometry and Measurement, and the Appendix, which contains the String Game. The five workbooks in this volume are intended for individual work. The answer key for the workbooks is included with the guide. A chart is given for the teacher to keep track of each student's progress. (Author/SA)