Mathematical Reduction Thinking Theory

Author: Zhao Xiaoyun
Publisher:
Publish Date: 2005-03-01
Features: The theory of mathematical reduction thinking is an interdisciplinary science that integrates philosophy, methodology, the history of mathematics, and more. Its focus lies in mathematical innovation. This book primarily builds upon known, simple, concrete, specific, and fundamental knowledge to transform the unknown into the known, the complex into the simple, the abstract into the concrete, the general into the special, and the non-fundamental into the fundamental, thereby solving problems. The book introduces the origin, development, and characteristics of the mathematical reduction thought, typical methods and examples of mathematical reduction thinking in secondary school mathematics, the creative principles of mathematical reduction, and the development plan for mathematical movement. Through study, readers can form a correct mathematical perspective and consciously apply the principles of mathematical methodology to guide mathematical learning and teaching, thereby enhancing the ability of mathematics teachers to master teaching materials. This book is suitable for mathematics students in teacher training universities, mathematics educators, theoretical researchers, and.