Divergent Thinking Classroom: Senior High School Mathematics. Latest Revision

Author: Yuanliu Editor-in-Chief
Publisher:
Publish Date: 2005-02-01
Features: Divergent thinking, also known as divergent thinking, is a multi-directional way of thinking. Figuratively speaking, it starts from a single point of knowledge and sends out a ray into the knowledge network space. It forms connections between two or more points of knowledge, achieving the effect of "one input leading to multiple outputs," demonstrating strong multi-directionality, flexibility, and creativity. When applied to learning, divergent thinking can bridge the gap between known and unknown, creating new ideas and problem-solving methods. It enhances understanding, transforms knowledge into intelligence, and truly achieves the thinking effect of "learning one thing and understanding many." The distinguishing feature of this book compared to other similar books is its full utilization of the supplementary book's function of "supporting the foundation and elevating the peak." The necessity of supplementary books lies in their function of "supporting the foundation and elevating the peak." The "foundation" refers to the core knowledge of each subject, or the basic key points of each knowledge unit. These basic points are the foundation for students' understanding and application of knowledge, their. The "peak" refers to the extension, enhancement, and refinement of the basic knowledge. Supplementary books should be based on the textbook but also surpass it. If "supporting the foundation" is the basic function of supplementary books, then "elevating the peak" is their soul, the source of their vitality. Based on this understanding of supplementary books, this book reflects its targeting and innovation from four aspects: high standards, new perspectives, broad vision, and extensive thinking. It introduces divergent thinking into the entire process of learning and practice. The main structure of the book is "Divergent Thinking Guidance and Practice," which is another feature. In practical application, it is divided into two parts: Divergent Thinking Analysis starts from key points, key concepts, and difficult points, analyzes the content and relationships of the knowledge unit, and reveals the laws of thinking and highlights problem-solving techniques using divergent thinking methods to achieve comprehensive understanding. Divergent Thinking Application selects typical examples to train students in multi-directional, multi-aspect, and multi-level divergent thinking through key problems, cultivating their ability in concept differentiation, comprehensive summarization, transformation, thinking transfer, reverse application, experimental design, writing expression, and multi-solution and multi-variation. Stripping away the superficial and focusing on the essential, with quality as the priority, is the third distinctive feature of this book. In the education of the new century, the arrangement of course content requires "prioritizing quality," and teachers' classroom explanations should be "concise and focused." Supplementary books should also strip away the superficial and focus on quality, allowing students to learn better while reducing their workload. This is also the goal of this book. Therefore, the book includes a "Chapter (Unit) Summary" section to help students organize knowledge structures, inspire problem-solving ideas, point out methods and techniques, provide updated information, and improve their exam-taking skills. This book opens up an extraordinary learning world for you, and we hope you will draw nourishment from this wonderful world, so that you can successfully knock on the door of a prestigious university in the future.
"Divergent Thinking Great Classroom" has been on the market for six years and has sold over 700,000 sets, becoming a well-known brand in the field of supplementary books. To make the content and quality of this series even better and to broaden its applicability, we have revised the series comprehensively based on the latest textbook and exam syllabus, referring to the new concepts, ideas, methods, and goals of the latest national compulsory education curriculum standards, and have launched a new edition suitable for the needs of all provinces and autonomous regions in China.
The "Divergent Thinking Great Classroom" textbook edition is structured with the following sections:
Meeting Curriculum Standards Requirements
Reflects the new concepts of the curriculum standards, guiding students to master the new learning goals through independent and collaborative learning, achieving the expected learning objectives and outcomes for each chapter.
Pre-Class Learning Tips
Emphasizes the importance of the process, providing necessary preparation for students' independent exploration and collaborative communication. It highly summarizes the intrinsic knowledge system of each chapter and provides a concise analysis of the key points of the new middle school exam.
Highlighting Key and Difficult Points
Uses a "brushing the dragon's head" approach to emphasize key and difficult points, serving as the main thread of divergent thinking.
Divergent Thinking Expansion
The main structure of the series, divided into the following two parts:
- Divergent Thinking Analysis
Starts from key points, key concepts, and difficult points, analyzes the content and relationships of the chapter, uses divergent thinking methods to reveal the laws of thinking, highlights problem-solving techniques, and achieves comprehensive understanding.
- Divergent Thinking Application
Selects new middle school exam questions of "ability-based, open-ended, application-based, reading comprehension, material analysis, and comprehensive" types. Through multi-directional, multi-aspect, and multi-level divergent thinking on key problems, it cultivates students' ability in concept differentiation, comprehensive summarization, transformation, thinking transfer, reverse application, experimental design, writing expression, and multi-solution and multi-variation.
Consolidating Basic Training and Improving Ability Testing
Establishes a diversified self-assessment platform through teacher-student interaction, peer interaction, automatic exploration, and self-resolution, enhancing innovative and exam-taking skills.
Unit Summary
The following sections are included:
- Knowledge Network Construction
Organizes the knowledge structure, integrates the content of the chapter, making it easier to remember and grasp as a whole.
- New Curriculum Standards and Middle School Exam Overview
Summarizes the development direction of the new middle school exam, providing detailed information to guide thinking, stimulate thinking activity, and comprehensively enhance comprehensive, innovative, and exam-taking skills.
- New Questions and Directions
Sticks to the syllabus and textbooks, systematically organizing content, methods, and techniques, and collects a large number of new middle school exam questions, new questions, and trend-setting questions.
The following types of divergent thinking are selected for this book:
- Typing Divergence
- Solution Divergence
- Transverse Divergence
- Transformation Divergence
- Combined Divergence
- Transfer Divergence
- Decomposition Divergence
- Reverse Divergence
- Inquiry Divergence
- Comprehensive Divergence
This series of books progresses from simple to complex, provides in-depth analysis and practice, combines learning and practice, and gradually improves, revealing the exam-taking patterns of the middle school and high school exams. This makes students' review and exam-taking more aligned with reality, thereby enhancing their ability to flexibly apply knowledge and strengthening their transfer and creative thinking skills.