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Teaching Research On Mathematical Thinking Method In Compulsory Textbooks Of Su

Posted on:2015-02-14Degree:MasterType:Thesis
Country:ChinaCandidate:M GuoFull Text:PDF
GTID:2207330431474860Subject:Subject teaching
Abstract/Summary:PDF Full Text Request
Student’s mathematics accomplishment is not only reflected in the amount of their mathematical knowledge, but also in their ability to understand math basic ideas, methods, and flexible use of them in solving the practical problems in life. At present many teachers have realized the value of mathematical thought method, but their understanding of how to carry out the thought method of teaching is not deep, leading to their teaching effect is not satisfactory. Many novice teachers in high school is not familiar with mathematics thought method in the teaching material, they also do not know how to effectively implement teaching of mathematics thought method in the classroom.In view of this, first of all, this article roughly combed the compulsory textbooks for high schools. According to the knowledge, the author divided point high school textbooks into collection, function, trigonometry, analytic geometry and solid geometry, sequence, inequality, vector, probability and statistics, algorithm, such as ten modules, and systematically analyzed the high school mathematics new curriculum contains mathematics thinking method. And according to the catalogue of the chapters in the text, the authors sort out the five compulsory teaching material in each section contains the basic mathematical thought method. On this basis, the author take Several form combining ideas for example, combined with the specific case, analyzes in detail its contact and deepen in the different mathematical content.This paper analyses the mathematical thinking method mainly includes: symbolic-graphic combination thought, inversion thought, Symbolic and formalization thought, Generalization and specialization thought, mode thought1, arithmetic thought, Analogy thought, function and equation thought, iterative algorithm thought, Recursive thought, Enumeration thought and so on.In this paper, according to her own research process of the method of mathematical thinking, the author summarizes the general process of study mathematics thought method, and provides reference for novices. Moreover, in the process of research, the author analyzes a large number of cases, to help novice teachers better familiar with high school mathematics textbooks. In addition, the author analyzes Several form combining ideas’ evolution in the teaching material, gives the general steps of mathematical thought method. This is beneficial to help teachers improve their own quality, form the unique teaching style, at the same time improve the students’mathematics accomplishment.
Keywords/Search Tags:Mathematical ideas and Methods, Analysis of textbooks, high school mathematics, symbolic-graphic combination
PDF Full Text Request
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