Grade 8 Math (East China Normal University Edition) - Solving Upgrades - Quick Response One Book (New Curriculum)

Author: Sun Limin
Publisher:
Publish Date: 2004-06-01
Features: This book provides a comprehensive analysis and solution of typical problems related to knowledge points, key points, difficult points, and examination points, serving as an educational aid with the nature of a problem-solving manual. However, it surpasses a typical problem-solving manual by not only demonstrating the solution process but also offering a detailed explanation of the thought process and methods for selecting entry points, thereby better guiding students' problem-solving strategies. To improve problem-solving skills, students must meet two conditions: first, they must build a solid foundation, and second, they must be able to apply their knowledge to analyze and solve problems. This book uses example problems to explain knowledge points, key points, difficult points, and examination points, while also providing the thought process for solving problems. It activates abilities while strengthening the foundation and consolidates basic knowledge through problem-solving practice. Additionally, the training packages set up based on example problems serve as exemplary models, demonstrating the principle of "learning from one example and applying it to many." Once these examples and exercises are mastered, students will be able to solve similar problems effortlessly. Therefore, this book perfectly fulfills the role of improving problem-solving skills.
The chapters of this book are organized according to the curriculum standards and teaching progress, with example problems and training exercises designed in alignment with the middle school entrance examination guidelines. The example problems are arranged in the order of basic questions, followed by ability-based and comprehensive questions, perfectly matching the rhythm of students' in-class learning and providing timely solutions to their problem-solving challenges. Each example problem primarily includes three components: analysis, solution, and notes, much like a teacher's lecture. It first presents the thought process, then solves the problem, and provides special attention to difficult or easily mistaken questions, highlighting correct methods and diagnosing errors. This makes the content easily graspable.
The example problem analysis in this book serves the following functions:
1. Links knowledge systems;
2. Explains knowledge points and examination points;
3. Interprets key and difficult points;
4. Teaches methods and guides thinking;
5. Covers all types of problems;
6. Demonstrates the principle of "learning from one example and applying it to many."
Specifically, the example problems in this book are set according to three principles:
1. Example problems can explain knowledge points and examination points, meaning the number of example problems is equal to the number of knowledge points and examination points;
2. The types of problems are comprehensive, including not only traditional classic problems but also new types of problems that have appeared in recent years' middle school entrance examinations, such as reading comprehension and situational problems;
3. Example problems are typical in both type and content, serving as models for solving similar problems.
The example problems in this book are closely related to examinations. First, all examination points in the textbook are accompanied by example problem analysis. Second, the example problems emphasize the purpose of ability-based assessment, increasing the number of application and ability-based questions, which aligns with the trend of reform in middle school entrance examination questions.