Intended for teachers of the mentally gifted in grades 1 through 3, the guide distinguishes between the verbally gifted and the mathematically gifted and discusses subject matter content, development of intellectual skills and creativity, and gives teaching suggestions. Discussed are a different emphasis for the mathematically talented, the opportunities of unstructured programs, and the need for sequence and continuity. Also considered for determination of subject content are suggestions for the verbally gifted and broad applications of mathematics. Stress is put on the development of understanding, generalizations, and basic principles. Recommended for the improvement of mathematical skills are quantitative questions, open-ended problems, and individualized programs. The discovery method of teaching is encouraged for development of higher intellectual skills such as analysis-evaluation and synthesis-evaluation. A rich mathematical environment and a teacher who enjoys mathematics is suggested to develop creativity in mathematics. Mathematics instruction is seen to encourage the full development of the gifted child's human potential. Teaching suggestions include ways to use the number line, primitive number systems, nonmetric geometry with geoboards, and problem solving. (DB)