Junior High School Math Problem-Solving Techniques: All Types, Apply to Various Cases

Author: Shi Lian, Hao Zhizeng
Publisher:
Publish Date: 2004-05-01
Features: Enhancing students' comprehensive qualities, fostering their individual strengths, cannot be achieved through last-minute cramming or detached from reality. The development of students' intelligence and abilities is a gradual, long-term training process that spirals upwards. To support the development of extracurricular mathematics activities in primary schools and provide students with systematic training in mathematical Olympiad content, we have organized experienced teachers to compile this series of books. Through the unique "one example, three exercises" format, it helps students systematically master the entire content of mathematical Olympiads, broaden their knowledge horizons, grasp problem-solving methods and skills, and improve their exam and competition readiness. This series of books strives to embody the following characteristics:
Comprehensive and Spiral-Upgrading. The series covers the entire content of junior high school mathematics textbooks, breaking it down by grade level, with 80 topics set for each grade, each topic serving as a training session. It also pays attention to the connection between grades, reflecting layers and gradients.
Rooted in Basics, Focused on Improvement. Following the arrangement of general textbook teaching content, topics are set based on students' actual knowledge structure and cognitive development levels, enabling self-directed learning and extension training after mastering basic textbook knowledge.
One Example, Three Exercises, Learning by Analogy. For each topic, a "typical problem example" is selected from a vast pool of problems. The "Approach" provides analysis and guidance, while the "Detailed Solution" offers thorough or alternative solutions. The "Trick" summarizes and deepens the knowledge, methods, and skills related to the example. Accompanying the example, three practice problems ("Good Problems for Practice") are set to match the knowledge points, allowing students to complete them independently and cultivate the ability to learn by analogy.
Keeping Pace with the Times, Reflecting Modernity. The content of examples and exercises incorporates recent problem types from mathematical competitions across various regions, reflecting modernity,,,,, and close connection to real-life scenarios, guiding students to learn and apply mathematics in daily life.