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How to carry out the concept of new curriculum standard in senior high school mathematics classroom teaching
Second, adhere to language expression, promote the development of thinking and develop intelligence? The new curriculum standard requires students to express their thinking process clearly and methodically. Be reasonable, and discuss and question logically with mathematical language in the process of communicating with people. Language is the carrier of thinking, and language and thinking are closely linked and inseparable. The process of language mastery is also the process of thinking development. Therefore, in teaching, we should not only pay attention to whether students can "do" but also pay attention to whether students can "speak". ?
Thirdly, the idea of mathematics teaching advocating human culture, like other disciplines, is a part of the inheritance of human culture. As a culture, it also has cultural context, background, stories and interests. Students are required to express the definition, nature, laws and concepts of research in concise mathematical language on the basis of experience. In this way, through the tempering of language, the rigor of thinking can be achieved. The introduction of new concepts is the inheritance, development and perfection of existing concepts. Because some concepts are rich in connotation and extensive in extension, it is difficult to reach the goal in one step, and they need to be deepened and improved step by step at several levels.
For example, the definition of trigonometric function has gone through the following three gradual deepening processes: (1) the definition of acute trigonometric function described by the ratio of the sides of a right triangle. (2) The definition of acute trigonometric function expressed by the coordinates of points. (3) Definition of trigonometric function with arbitrary angle. Derived from this concept are: ① symbols of trigonometric functions in each quadrant; ② trigonometric function line; (3) The basic relationship of trigonometric functions with the same angle; ④ Images and properties of trigonometric functions; ⑤ Inductive formula of three-solution function, etc. It can be seen that the definition of trigonometric function is the most important in trigonometric function teaching and the cornerstone of the whole triangle part. It runs through all parts related to trigonometry and plays a key role. Paying attention to concept teaching and excavating the connotation and extension of concepts will help students understand concepts. When the language description is accurate, the thinking is rigorous. ?
In actual teaching, teachers should encourage and induce students to speak, avoid imperfect deprivation of students' right to speak, and give students enough time to speak. Practice has proved that insisting on asking students to express their thoughts clearly is conducive to using language for thinking activities, correctly understanding scientific concepts and principles, and training students' intelligence. ?
In a word, education is a complex systematic project, which requires us to seriously explore and study, arm ourselves with brand-new ideas on the basis of following students' cognitive laws, inspire and induce students, and give full play to students' main role in learning. Correctly guide the learning process, be both a good tutor and a good tutor, so that students can develop their personality and increase their wisdom and talents in the process of mastering knowledge.
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