This Teacher's Guide for first-grade mathematics is an outgrowth of an extended pilot project conducted nationwide between 1973 and 1976. The manner of presentation and the pedagogical ideas and tools 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. The CSMP curriculum follows the "spiral approach." The guide emphasizes that a topic may provide children with intuitive leaps which might help them acquire successive pieces of information. A list of demonstration manipulative materials available from CSMP is presented as well as individual materials for each student. Other materials not available from CSMP are announced in the text in advance of the lessons for which they are needed. This is part 1 of a two-part Teacher's Guide. Eighty lessons are included and each is titled, described, and summarized with a list of materials presented. Suggestions for organizing the program on a month-to-month basis for one semester reflects the experiences of the CSMP staff in developing the curriculum. Questions which are frequently asked about CSMP are answered in section two of the text. Worksheets for the students are included. (Author/SA)