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The Research On Junior Middle School Mathematics Teaching Based On "Mathematization Thinking"

Posted on:2017-05-01Degree:MasterType:Thesis
Country:ChinaCandidate:X R LiaoFull Text:PDF
GTID:2297330482493212Subject:Curriculum and teaching theory
Abstract/Summary:PDF Full Text Request
Teach students how to think is the central task of the mathematics teaching. The student’s thinking is also a necessary condition for high quality class.The new curriculum standards of compulsory education has Attached great importance to students’ thinking ability,and explicitly put forward “Mathematical thinking target” separately. In both the new curriculum standards of compulsory education and teaching material rendering strong mathematical background,this research will refer to "mathematics thinking" and "mathematization",combined with students’ basic activities experience and thinking level for the basis to study the "mathematics thinking".To help students in the process of mathematical knowledge development,make "can implement efficient mathematical way of thinking" possible,Improve the students’ ability of thinking.This paper based on the perspective of subject teaching,from two aspects of theory and practice,to study the“mathematization thinking”.Mainly includes six parts:The first part:From the new curriculum standards of compulsory education and the teaching characteristics,put forward the necessity of "mathematization thinking",, and analyze the topic research ideas and research methods in the process of implementation.The second part:Due to the study of "mathematization thinking" at home and abroad especially less,So on related literature review, with the concept of "mathematization thinking" forward at least four other keywords( mathematical thinking, mathematizing, mathematical thought and mathematical fundamental activity experience)related to combining the two documents refer to a comprehensive review of the study, concluded four specific and direct contact with "mathematization thinking".The third part : From the connotation and characteristics of two aspects, respectively of mathematical thinking, mathematizing, mathematical thought and mathematical fundamental activity experience on the related theoretical basis, so that in order to more accurately theoretical discussions on "mathematization thinking"Part four: This chapter is the main part of this article’s theory, mainly on the connotation andcharacteristics of "mathematization thinking" is analyzed. The main conclusions are as follows:The classification of "mathematization thinking" : horizontal mathematization thinking and longitudinal mathematization thinking, but this paper mainly discusses the longitudinal study of mathematization thinking.Reflection is the important component in the process of "mathematization thinking"."Mathematization thinking" can strengthen students’ certain ways of thinking.The concept of "mathematization thinking";from the angle of mathematics, in mathematical experience activities as the carrier, based on the original mathematical thought from the mathematics knowledge and methods in the process of the occurrence and development of organization,arrangement and analysis problems effectively, realize a kind of thinking process of problem solving.The dimension of mathematization thinking is mainly divided into: guess and assumptions,mathematical reasoning, retrospective reflection; level classification are: intuitive stage, quality,nature.The fifth part:It mainly used two ways to study on the practice of "mathematization thinking" :the test about "factoring" as an example 、the video analysis class about "explore the conditions of the triangles are congruent" as an example.After analyzing the result of the study, provides some enlightenment about the cultivation of "mathematization thinking" mode and teaching advice respectively.The sixth part: carries on the summary and the reflection of this article.
Keywords/Search Tags:Mathematization thinking, Mathematical thinking, Mathematical thought, Mathematical fundamental activity experience, Mathematizing
PDF Full Text Request
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