Mathematical Thinking Methods and Middle School Mathematics

Author: None
Publisher:
Publish Date: 2003-08-01
Features: Mathematical thinking methods are a guiding ideology and universally applicable methods that are both rooted in specific mathematical content and transcend it. They enable students to grasp the essence of mathematics, understand its value, learn to think and solve problems mathematically, and organically integrate knowledge acquisition with the cultivation of abilities and the development of intelligence. This book introduces mathematical thinking methods by revealing the implicit and refining and mining them based on the characteristics of mathematical science, thereby helping readers better understand and master fundamental mathematical thinking methods, and more effectively learn and apply mathematics. The book is divided into two parts: Part 1 consists of five chapters, introducing general methods for solving mathematical problems, general methods for mathematical activities, general methods for mathematical construction theory, and general methods for mathematical reasoning and proof, among other basic and commonly used thinking methods in secondary school mathematics education, along with carefully selected typical examples suitable for secondary school mathematics. Part 2 consists of six chapters, focusing on secondary school mathematics content, revealing the organic connection between modern and contemporary mathematical theories and methods and secondary school mathematics, as well as their guiding significance for secondary school mathematics, fully demonstrating the hierarchical abstraction feature of mathematical science. This book can serve as a textbook for graduate students in the field of mathematics education, graduate degree program students, and senior undergraduate students taking "Mathematical Thinking Methods" courses, as well as a reference book for secondary school teachers and mathematics education professionals.