Ready reference dictionary for primary school mathematics knowledge

Author: Kaiming Mathematics Studio (Editor)
Publisher:
Publish Date: 2006-01-01
Features: The brand-new mathematics dictionary for primary school students is compiled under the guidance of the new curriculum standards, combining practical teaching experiences in implementing the new curriculum standards. This book is aligned with the national new curriculum standards textbooks, using the PEP textbook as a reference while also catering to other versions of textbooks. In terms of compilation, it emphasizes both the comprehensiveness of knowledge coverage and the cognitive level and knowledge experience of most students, striving to achieve "having the curriculum standards in mind, the textbooks in hand, and students in sight," and aims to embody the philosophy of "everyone learning mathematics of value and everyone developing in mathematics." This is reflected in the following aspects:
1. Comprehensive Content: Each entry includes a standard definition, along with additional sections such as "Examples," "Extensions," "Notes," "See Also," and "Generalizations," providing in-depth exploration of the knowledge point. Most examples are composed of three parts: analysis, solution, and commentary, with diverse formats and clear levels. The sections are both independent and interconnected, forming a cohesive whole. Additionally, the book integrates numbers and shapes, featuring illustrations to stimulate students' interest in learning, guiding them to "play," "do," "think," and "apply" mathematics. The book covers all mathematics knowledge taught both inside and outside the primary school curriculum, as well as a portion of primary school olympiad mathematics and transitional knowledge for primary school students transitioning to middle school.
2. Added Mathematical Experiments: Centered around primary school students, this feature cultivates their innovative spirit and practical abilities. Mr. Tao Xingzhi proposed the concept of "teaching, learning, and doing in unity," while the "woodworker teaching method" is popular in the U.S., encouraging students to "find," "measure," and "assemble" because "you learn by doing." Piaget pointed out that "the characteristic of traditional teaching lies in often relying on verbal explanations rather than starting with hands-on activities." "Doing" involves hands-on operations, allowing students to experience mathematics through practice. For example: take a rectangle measuring 30 cm in length and 20 cm in width, and cut out a square from each corner to stimulate curiosity.
3. Added Sections on Mathematics in Daily Life and Mathematics in Computers: Gradually guiding primary school students to observe and analyze real-world society using mathematical thinking, helping them understand the close connection between mathematics, nature, and human society, appreciate the value of mathematics, enhance their comprehension and confidence in learning mathematics, and apply relevant knowledge to solve problems in daily life and other subjects, strengthening their awareness of applying mathematics.
4. Mathematical Thinking Methods and Learning Skills Cataloged: Mathematical thinking methods are the implicit knowledge system of mathematics teaching. This book introduces basic mathematical thinking methods to primary school students through explanations and examples, enabling them to develop some fundamental strategies for problem-solving. When solving problems, the book explores different perspectives and approaches, evaluates the differences between various methods, and seeks the best way to solve problems, guiding students to experience the flexibility, diversity, and openness of problem-solving strategies, and fostering their practical abilities and innovative spirit. The book also provides a series of reasonable learning methods for reference.
5. Added Sections on Mathematical Fun Facts, Mathematical Fun Shapes, Mathematical Fun Puzzles, Mathematical Games, Mathematical Stories, Excerpts from the History of Mathematics, Mathematical Classics, and Famous Mathematicians: These sections aim to help primary school students understand the close connection between mathematics and human life, as well as its role in historical development, while experiencing the exploration and creativity inherent in mathematical activities and appreciating the rigor and certainty of mathematical conclusions within their comprehension level.
6. Comprehensive Coverage of Primary School Mathematics Knowledge with Added Statistical Basics: In addition to encompassing all mathematics knowledge in primary school, the book also includes introductory statistical knowledge. Through the use of charts and graphs, it visually demonstrates the process of using data to describe information and make inferences, gradually cultivating students' statistical awareness.