Divergent Thinking Classroom -- Senior High School Mathematics (Latest Revision)

Author: Editor-in-Chief of Yuanliu
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. 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 effect of "learning from one example to understand 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 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 book is structured around "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, focus points, and difficult points to analyze the content and relationships of the knowledge unit, revealing thinking patterns and highlighting problem-solving techniques to achieve comprehensive understanding. Divergent Thinking Application selects typical examples, using multi-angle, multi-aspect, and multi-level divergent thinking for key problems to cultivate students' abilities in conceptual differentiation, comprehensive summarization, transformation, thinking transfer, reverse application, experimental design, writing expression, and multiple solutions. Striving for excellence by refining the essence is the third distinctive feature of this book. In the education of the new century, the arrangement of course content requires "striving for excellence," and teachers' classroom explanations should be "concise and focused." Supplementary books should further refine the essence and strive for excellence, enabling 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 to successfully knock on the door of a prestigious university in the future.
"Divergent Thinking Classroom" has been on the market for six years and has sold over 700,000 sets, becoming a renowned brand in the supplementary book industry. 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, exam syllabus, and the new concepts, ideas, methods, and goals of the latest national compulsory education curriculum standards. We have also introduced a new edition tailored to the needs of provinces and autonomous regions across the country.
The "Divergent Thinking Classroom" textbook edition includes the following sections:
- Meeting Curriculum Standards: Reflecting the new concepts of the curriculum standards, it guides 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: Emphasizing the importance of the process, it provides necessary preparation for students' independent exploration and collaborative communication, highly summarizing the intrinsic knowledge system of each chapter and providing insightful analysis of the key points of the new middle school exam.
- Highlighting Key and Difficult Points: Using a "penetrating the dragon's eye" approach, it emphasizes key and difficult points, serving as the main thread for divergent thinking.
- Expanding Divergent Thinking: This is the main structure of the series and is divided into two parts:
- Divergent Thinking Analysis: Starting from key points, focus points, and difficult points, it analyzes the content and relationships of the chapter's knowledge, using divergent thinking methods to reveal thinking patterns and highlight problem-solving techniques to achieve comprehensive understanding.
- Divergent Thinking Application: Selecting "ability-based, open-ended, application-based, reading comprehension, material analysis, and comprehensive" questions from the new middle school exam, it uses multi-angle, multi-aspect, and multi-level divergent thinking for key problems to cultivate students' abilities in conceptual differentiation, comprehensive summarization, transformation, thinking transfer, reverse application, experimental design, writing expression, and multiple solutions.
- Consolidating Basics and Training: Establishing a diversified self-assessment platform through teacher-student and student-student interaction, automatic exploration, and self-resolution, it enhances innovative and exam-taking skills.
The "Chapter (Unit) Summary" section includes:
- Knowledge Network Construction: Organizing knowledge structures to integrate the chapter's content, making it easier to remember and grasp holistically.
- Overview of the New Curriculum and Middle School Exam: Summarizing the development direction of the new middle school exam, providing detailed information to guide thinking, stimulate mental activity, and comprehensively enhance overall, innovative, and exam-taking skills.
- New Questions and Trends: Aligning with the syllabus, it meticulously organizes content, methods, and techniques, providing in-depth analysis of the latest middle school exam questions, new questions, and trend-setting questions.
This book employs the following types of divergent thinking:
- Typing Divergence
- Solution Divergence
- Vertical and Horizontal Divergence
- Transformation Divergence
- Combined 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 gradually improves, revealing the exam-taking patterns of the middle school and college entrance exams. This makes students' review and exam preparation more aligned with reality, thereby enhancing their ability to flexibly apply knowledge, improve transfer and adaptability, and develop creative thinking.