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数学高效课堂实质是学生高效的数学学习,而数学学习主要表现为数学思维活动,学生间、师生间的合作交流是数学思维活动中的重要环节,因此新课标指出:“动手实践、自主探索与合作交流是学生学习数学的重要形式”。但实现有效交流的前提是学习和掌握数学语言,因为数学语言是一种表达科学思想的通用语言和数学思维的最佳载体。数学语言可分为抽象性数学语言和直观性数学语言,包括数学概念、术语、符号、式子、图形等。各种形态的数学语言各有其优越性,如概念定义严密,揭示本质属性;术语引入科学、自然,体系完整规范;符号指意简明,书写方便,且集中表
The essence of mathematical efficient classroom is the students’ efficient mathematics learning, while the mathematics learning is mainly represented by mathematical thinking activities. The cooperation and exchange between students and teachers and students is an important link in mathematical thinking activities. Therefore, Independent exploration and cooperation and exchange is an important form for students to learn mathematics. " However, the premise for effective communication is to learn and master the mathematical language, which is the best carrier of the common language and mathematical thinking that expresses scientific ideas. Mathematical language can be divided into abstract mathematical language and intuitive mathematical language, including mathematical concepts, terms, symbols, formulas, graphics and so on. Various forms of mathematical language have their own advantages, such as the definition of the concept of tight, revealing the nature of the attribute; terminology to introduce science, nature, the system complete norms; symbols indicate simple, easy to write,