This book is comprised of 19 chapters and begins with a reflection on the nature of mathematics, followed by a discussion on the importance of intuition and logic in mathematics. The ideas of generalization, structure, approximations, and the evolution of some particular aspect of applied mathematics are then examined from the viewpoint of a teacher. Subsequent chapters deal with schematic learning; motivation and emotional and interpersonal factors; uses of programmed material in British schools and colleges; and structural apparatuses used in teaching mathematics. The Midlands Mathematical Experiment and the Nuffield Foundation Mathematics Teaching Project in Britain are also described.
This monograph will be of interest to teachers and students of mathematics.
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