A Complete Collection of Thinking Methods for Solving Middle School Math Problems

Author: Lu Zhichang
Publisher:
Publishing Date: 2000-10-01
Features: This book has three prominent characteristics:
1. Deep yet accessible thinking methods, easy to understand. The first part of the book focuses on teaching problem-solving thinking methods, which are closely tied to everyday examples. These tricks are not only simple and clever but also very interesting. Applying these methods to solve corresponding problems ensures accuracy and speed. The second part addresses common issues students face in problem-solving, such as hesitation to start, getting stuck after a few steps, or excessive and complex calculations. It provides a comprehensive introduction on how to overcome these problems. After reading, students will gain a systematic understanding. The third part introduces problem-solving thinking qualities, explaining that overcoming defects in thinking quality is the key to mastering mathematics.
2. Innovative and clever problem-solving methods, suitable for middle school students. The thinking methods and problem-solving tips introduced in the book align with the cognitive and thinking characteristics of middle school students, making them highly popular among them. These are insights I have discovered, accumulated, and summarized over years of teaching, and they are being systematically introduced to middle school students across the country for the first time.
3. Integrated explanation and practice, beneficial for tutoring. The book covers all the key knowledge points of middle school mathematics, with highly representative examples. Each example represents a type and a key point, and grasping the thinking method behind the examples helps students master one or more key points. The format is also innovative: before each example, there is an analysis, and after solving it, there is a review and common pitfalls are highlighted. Additionally, each chapter includes (supplementary exercises) to enhance students' ability to apply knowledge comprehensively. Moreover, each chapter can stand alone, which greatly facilitates learning and tutoring.