Represented are notes that have been compiled from meetings between teachers and members of the SMSG staff, discussing kinds of pre-school activities that might be appropriate for the development of various mathematical concepts. The sequence of concepts presented are in the same order as they are developed in the SMSG kindergarten program. Some slight editorial modifications were made from the meeting notes. Each unit consists of a section on Background Notes, Readiness, Activities, and Vocabulary. Included are 15 units. These include the following: (1) Sets; (2) Equal Sets; (3) Subset; (4) A Set with One Member and the Empty Set; (5) One-to-One Correspondence; (6) More Than and Fewer Than; (7) Ordering of Sets; (8) Number Property of a Set; (9) Comparison of Numbers; (10) Operation with Sets; (11) Elements of Geometry; (12) Simple Closed Curves; (13) Figures in Three-Dimensions; (14) The Number Line; and (15) Arithmetic Operations. (Author/RH)