This teaching guide suggests practical ideas for encouraging mathematics talent in preschool children. It is part of a series of similar guides developed by the RAPYHT Project (Retrieval and Acceleration of Promising Young Handicapped and Talented) for educating gifted/talented handicapped children and gifted children with no handicaps. A list of characteristics of children with mathematics talent is provided. Suggestions are offered to help the teacher present a concept-oriented mathematics program to the talented preschooler. Lists of suggested materials for a mathematics center and resource books for the library are also provided. A description of specific goal areas and classroom activities for the mathematically talented child comprises the largest section of the guide. The following goals are focused upon: awareness of geometric shapes; understanding of sets, one-to-one correspondence and number value of numerals; counting skills; understanding of the operations of addition and subtraction; understanding of patterns, fractions, and time; understanding of measuring space, volume, and weight; and understanding of money and money values. An annotated list of resources is included. (CM)