05 Fall Divergent Thinking Mathematics Grade 9 (First Semester) SCNU

Author: Xi Yang Li Xianglun
Subtitle: Yu Jing
Publisher:
Publish Date: 2005-04-01
Features: The "Divergent Thinking Classroom" series has sold over 1 million sets over the years and has rightfully become a renowned brand in supplementary education materials. To make the content and quality of this series even better and broaden its scope of application, we have revised the series comprehensively based on the new curriculum, examination syllabus, and the new concepts, ideas, methods, and objectives of the new National Compulsory Education Curriculum Standards. We have also equipped it with textbook samples suitable for all provinces and autonomous regions in China.
The textbook samples of "Divergent Thinking Classroom" are structured with the following sections:
Curriculum Standard Positioning
This section fully reflects the new concepts of the curriculum standard, highly summarizes the knowledge and ability, and emotional cognitive objectives of this chapter (or unit), and comprehensively introduces the commonly used thinking methods and rules for learning the knowledge of this chapter (or unit). It enables students to achieve the expected learning objectives and outcomes of this chapter (or unit) through independent learning, collaborative learning, and interactive learning.
Independent Learning Tips
This section provides background materials and related knowledge to help students explore and expand their divergent thinking, laying a necessary foundation for independent inquiry. It also highlights the key and difficult points, serving as the main thread for divergent thinking.
Divergent Thinking Analysis
Starting from knowledge points, key points, and difficult points, this section analyzes the content and interrelationships of the knowledge in this section (or lesson). It helps students master methods to overcome key points and resolve difficult points. It also carefully designs innovative inquiry questions to guide students through the inquiry process, stimulating interest, providing in-depth analysis, and progressively applying divergent thinking methods to reveal thinking patterns and solve practical problems, thereby highlighting problem-solving skills and achieving a comprehensive understanding.
Divergent Thinking Application
This section selects "ability-based, open-ended, application-based, inquiry-based, reading comprehension-based, material analysis-based, and comprehensive" questions from the new junior high school entrance exams. Through typical examples, it analyzes key problems from multiple angles, sides, and levels to develop divergent thinking and cultivate students' abilities in conceptual differentiation, comprehensive summarization, transformation, thinking transfer, reverse application, experimental design, writing expression, multiple solutions, and varied approaches.
Self-Assessment Practice
This section establishes a self-assessment platform based on the knowledge of this section, emphasizing practice while learning. In addition to improving the quality of original divergent thinking questions, it also selects a certain number of "life divergent," "interesting divergent," "application divergent," "inquiry divergent," and "experimental divergent" questions, each corresponding to examples and revealing patterns.
Thinking Integration and Enhancement
This section is divided into three levels:
- Knowledge Network Construction
It organizes and systemizes the knowledge structure of this chapter, achieving the purpose of integrating thinking and enhancing abilities.
- New Question Types
It outlines the development direction of the new junior high school entrance exams, providing detailed information to guide thinking and stimulate mental activity. It also collects a large number of divergent thinking extension questions, new curriculum standard questions, and famous exam questions, offering insights into key points, thinking patterns, and techniques during the solution process to comprehensively improve comprehensive, innovative, and exam-taking abilities.
- Knowledge and Ability Transformation Platform
It establishes a diverse self-assessment platform to promote the transformation of knowledge into abilities, encouraging students to improve their innovative and exam-taking abilities through independent inquiry and self-exploration.
This book includes the following types of divergent thinking:
- Type Divergence
- Solution Divergence
- Life Divergence
- Interest Divergence
- Application Divergence
- Experimental Divergence
- Vertical and Horizontal Divergence
- Transformation Divergence
- Combination Divergence
- Transfer Divergence
- Decomposition Divergence
- Reverse Divergence
- Inquiry Divergence
- Comprehensive Divergence
This series progresses from simple to complex, provides in-depth analysis and practice, integrates learning and practice, and employs step-by-step training to gradually improve. It also reveals the exam-taking patterns of the junior high school and college entrance exams, bringing students' learning and exam-taking closer to reality, thereby enhancing their ability to flexibly apply knowledge and increasing their transfer and creative thinking abilities.