Described are many concrete readiness activities within ten broad categories that are designed to provide children with a solid foundation for mathematics and that help prevent learning difficulties in mathematics. Preschool mathematical experiences form the foundation for all studies in mathematics. Without a sufficient number of appropriate mathematical experiences at this early stage in a child's development, he/she will encounter needless learning difficulties in the future. Five major criteria are listed in the form of questions for selecting math activities; (1) Are the activities appropriate for each child's developmental level; (2) Will each child enjoy the activities and consider them fun; (3) Will each child successfully complete the activities; (4) Are the activities on a concrete level involving manipulative aids and/or diagrams and (5) Are the activities relevant to the child's environment? The mathematical experiences are divided into the following categories: patterns, sequences, classification (sets), one-to-one correspondence, conservation, numberness, matching, counting, shapes, and vocabulary. (MP)