This handbook provides activities for teachers who wish to provide concrete learning experiences for students in a humanistic environment in a mathematics laboratory program. It is designed to serve as a stimulant to encourage teachers to open their minds and employ their imaginations in developing further activities. It is expected that the individual instructor would adjust vocabulary and choose concrete materials in terms of a close knowledge of the ability levels of specific pupils and the type and amount of manipulative materials available. For each activity listed, the guide notes the purpose, suggests appropriate grade levels, notes the materials needed, and outlines the instructional procedure. The focus of this document is on operations with whole numbers and fractions. The text concludes with a categorical listing of improvised materials and games, commercial materials and games, and general supplies that are seen as valuable in classroom instruction. (MP)