Designed for use by school districts introducing computer mathematics into the curriculum, this manual provides guidelines for selecting a microcomputer system, as well as objectives and an outline for an introductory course in computer programming. Also presented are topics for computer applications in science, mathematics, chemistry, and physics, and three computer programs: (1) STAR PROBE, used to demonstrate the effects of gravitation and changes in velocity components (TRS-80 Level II BASIC); (2) Coefficients of Friction; and (3) Elemental Ratios for Empirical Formulas. Resources listed include textbooks on computer programming, references, periodicals, and a glossary of computer terminology. Programming information for a CAI spelling program, a descriptive outline of computer-related careers, and an introduction to flow charting (with examples) are appended. (LLS)