For the parent or teacher seriously interested in finding out why it might be advantageous to approach the teaching of mathematics a new way, this clear book gives fine practical demonstrations. For if the 10 lucid chapters are read without negativism created by early experience with poorly taught arithmetic, algebra, geometry, etc., it will quickly be seen that mathematics really is not difficult...but that it was made difficult. After having surveyed many of the experimental new approaches from all over the country, the author presents a point of view demonstrating that the simple inner logic of mathematics, its fundamental rules-- ranging from number theory through topology-- are really easy to explain, teach, and demonstrate to the youngest minds. Here the parent will be shown how a proper beginning trains the mind to think systematically, to look for relationships, to analyze by simplification. Once the properties of the various mathematical systems are absorbed, they become rules with which the mind always works, putting no burden on memory. The fundamental properties of sets, addition, multiplication, modulo systems, binary arithmetic, number systems, matrices, geometry, and probability are clearly outlined, so that with a little unemotional effort, attitudes about teaching and learning math could easily be changed. Appendices include solutions to problems given at the end of each chapter and a good bibliography for further reading. An excellent reference for the student teacher.