Divergent Thinking Classroom. Grade 8 Math (Lower) Beijing Normal University Edition (Latest Revision)

Author: Xi Yang
Publisher:
Publish Date: 2006-11-01
Features: Divergent thinking, also known as divergent thinking, is a multi-directional way of thinking. Figuratively speaking, it is like a ray of light emitted from a knowledge point to the space of the knowledge network. It forms connections between two or more knowledge points, 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" and "generalizing from one case to others."
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 existence of supplementary books is necessary precisely because of 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 key points. Supplementary books should be based on the textbook but also surpass it. If "supporting the foundation" is the basic function of a textbook, then "elevating the peak" is its soul, the source of its 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, with the main structure of the book being "divergent thinking guiding practice," which is another feature. In practical application, it is divided into two parts: "divergent thinking analysis" and "divergent thinking application."
"Divergent thinking analysis" starts from knowledge points, key points, and difficult points to analyze the content and relationships of the knowledge unit, revealing the laws of thinking and highlighting problem-solving techniques through divergent thinking methods to achieve comprehensive understanding. "Divergent thinking application" selects typical examples, using multi-angle, multi-aspect, and multi-level divergent thinking on key problems to cultivate students' abilities in conceptual differentiation, comprehensive summarization, transformation, thinking transfer, reverse application, experimental design, writing expression, and multi-solution/multi-variation. Striving for excellence by refining the essential and discarding the superfluous is the third distinguishing feature of this book.
In the education of the new century, the arrangement of course content requires "striving for excellence by refining the essential and discarding the superfluous." Teachers' classroom explanations should be "few but effective," and supplementary books should even more so. This book aims to help students learn better while reducing their burden, which is also its pursuit. Therefore, the principle for designing the sections of this book is: to help students organize knowledge structures, inspire problem-solving ideas, point out methods and techniques, provide new information, and improve their exam-taking skills.
This book opens up an extraordinary learning world for you. May you draw nourishment from this wonderful world and successfully knock on the door of a top university in the future.