Comprehensive Mathematics Thinking Development Teaching Manual (Full Three Volumes)

Author: None
Publisher: Guangming Daily Press
Publication Date: 2001-09-01
Features: The book focuses on cultivating and enhancing students' abilities in invention, discovery, and creative thinking analysis, as well as their ability to solve problems using a holistic mindset. It comprehensively summarizes the general principles of mathematical thinking and the general strategies for transforming mathematical problems, while also covering more specific mathematical problem-solving methods and techniques. It integrates the principles, methods, and problem-solving techniques of mathematical thinking with the author's own experience, providing teachers with a clear and efficient pathway to mastering mathematical skills and techniques.
"As mathematics is the gymnastics of the mind," this book serves as an outstanding coach to guide students in learning "gymnastics." The goal of mathematical education is to cultivate students' abilities in analyzing and solving problems, in other words, to develop their comprehensive ability for independent thinking and creative activities. Developing mathematical thinking requires not only conducting necessary experiments and assigning appropriate homework but also improving and enhancing teachers' teaching methods. When teaching, instructors should not only deliver course content but should also emphasize explaining the general principles and methods of analyzing and solving problems.
With over two million words, the book systematically elaborates on the form, characteristics, and methods of mathematical thinking science from the perspective of cultivating students' mathematical quality and comprehensive mathematical thinking abilities. Adhering to the principle of combining theory and practice, it integrates the theory of mathematical thinking with specific problem-solving practices. By comprehensively analyzing and solving over 7,000 selected typical and representative mathematical problems, the book fully demonstrates the innovative guidance of scientific theories in mathematical thinking in shaping the qualities of mathematical thinking and improving mathematical thinking abilities.