Ready reference dictionary for primary school mathematics problem solving

Author: Kaiming Mathematics Studio
Publisher:
Publish Date: 2006-01-01
Features: The brand-new primary school mathematics problem-solving dictionary is compiled under the guidance of the new curriculum standards theory, combining practical teaching experiences in the implementation of the new curriculum standards. This book is compatible with the national new curriculum standards textbooks, using the PEP textbook as a blueprint while also considering other versions of textbooks. In terms of writing, it pays attention to the comprehensiveness of knowledge coverage while being grounded in the cognitive level and knowledge experience of most students, striving to achieve "having the curriculum standards in mind, the textbook in mind, and the students in mind." It aims to embody the principle of "everyone learning mathematics of value, and everyone developing in mathematics." This is specifically reflected in the following aspects:
1. More Detailed Content. Most examples are composed of three parts: analysis, solution, and commentary. Many also provide multiple analysis and solution methods, with diverse formats and clear levels. Each part is both independent and interrelated, forming a cohesive whole. At the same time, it combines numbers and shapes, making the content visually appealing and conducive to stimulating students' interest in learning, guiding them to "learn by doing," "learn by thinking," and "learn by applying."
2. Broader Scope. The book is divided into five major parts: calculations, applied problems, geometry, elementary statistics, and mathematical problem-solving methods, covering all mathematics knowledge taught both inside and outside the primary school curriculum, as well as some elementary olympiad and transitional knowledge for primary school students entering middle school. For example, it includes an introduction to pie charts in statistics. Additionally, the book not only emphasizes the introduction of basic primary school mathematics knowledge but also increases the difficulty level. For instance, in calculations, it introduces concepts related to congruences, and in typical applied problems, it covers the "cow eating grass" problem. At the end of the book, it introduces several basic mathematical problem-solving methods. Overall, this is a comprehensive problem-solving dictionary with a wide range of knowledge.
3. More Effective Calculations. Due to the strict requirements of the new curriculum standards on the accuracy and speed of calculations for primary school students, this book has strengthened the content on calculations to a certain extent. Its greatest feature is the inclusion of various clever calculation techniques and verification methods. Whether the problems can be solved using simple methods or formulas, or whether they are complex calculations, we analyze the factors that affect their speed and accuracy, which helps improve primary school students' calculation speed and accuracy.
4. More Detailed Chapters. The book provides more detailed categorization for each major chapter. For example, in the "sum-difference-multiple problems," we first divide them into sum-difference problems, sum-multiple problems, and difference-multiple problems according to traditional classification methods. Within the sum-difference problems, we further categorize them based on varying conditions and provide key problem-solving ideas and steps for each category, truly helping readers understand the content and make it easier to remember.
5. More Comprehensive Methods. Some problems are highly comprehensive, with complex problem-solving approaches and steps that cannot be simply classified into one category. They require specific analysis for each case. For such comprehensive problems, the book introduces several commonly used problem-solving methods at the end, such as the assumption method. The dictionary not only explains these more abstract concepts but also illustrates the conditions and steps for applying corresponding mathematical ideas within the scope of primary school students through examples, which greatly helps broaden their problem-solving perspectives and improve their adaptability in solving problems.
6. More Useful Summaries. Each chapter of the book includes a summary that recaps the key knowledge points to be mastered, analyzes the problem-solving methods used in the chapter exercises, and provides a detailed summary of the key steps in solving problems. Readers can use these summaries to guide their practice.
With more detailed content, a broader scope, more effective calculation design, more detailed chapter organization, more comprehensive methods, and more useful summaries, we believe this dictionary will provide primary school students with greater assistance in solving mathematics problems.