This combination methods and resource book is written for preservice and inservice teachers of mathematics in the elementary school. It presents a program based on the research of the learning theories of Piaget, Brownell, Deines, Skemp, and Gagne and on successful classroom practices. The 14 chapters deal with: (1) "Mathematics in the Elementary School"; (2) "Assessment Procedures in Mathematics"; (3) "Planning for Teaching Mathematics"; (4) "Calculators and Computers"; (5) "Problem Solving"; (6) "Teaching the Foundations of Numeration"; (7) "Extending Understanding of Numbers and Numeration"; (8) "Informal Geometry"; (9) "Teaching Addition and Subtraction"; (10) "Teaching Multiplication and Division"; (11) "Fractional Numbers--Common Fractions"; (12) "Fractional Numbers--Decimal Fractions and Percent"; (13) "Measures and the Processes of Measuring"; and (14) "Tables, Graphs, and Probability." Appendices offer sources of information about math anxiety and equity; producers and distributors of mathematics courseware and learning aids; books for teachers; a guide to activities, problems and games; and an index. (PK)