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The mathematical aesthetic teaching and research in the Middle School

Author: HuoWenZuo
Tutor: LiWenMing
School: Shaanxi Normal University
Course: Curriculum and Pedagogy
Keywords: mathematic beauty mathematics of the secondary school mathematic aesthetic teaching aesthetic psychology strategies of mathematic aesthetic teaching
CLC: G633.6
Type: Master's thesis
Year: 2011
Downloads: 103
Quote: 0
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Abstract


When the new curriculum refourm paying attention to aesthetic value of mathematics,aesthetic teaching of mathematic has been widely valued. We can enjoy mathematic beauty in its formul,theorem and geometric figure.To implement mathematical aesthetic teaching in the secondary school can help students improve mathematic aesthetic ability, acquire positive attitude towards mathematics, foster Abundant creativity and form good mathematical value.The author probes into mathematic aesthetic teaching from both theory and practices on the base of reading related literature,analyse the situation about mathematic beauty in the secondary scool mathematic teaching material,proposes strategies about mathematic aesthetic teaching and designs related teaching case.There are five chapters in this study.The first chapter introduces the background and the significance of the study,devotes to the subject of domestic and foreign research.The second chapter discuss the theory basis of mathematic aesthetic teaching,In this chapter,the author expounds the conception of mathematic beauty,essential attributes,and introduces its three levels:external formal beauty which include symmetry beauty unify beauty,simple beauty,strange beauty,internal rational beauty and creative beauty.Then the author analyse the psychological process of mathematic aesthetics:aesthetic perceptual stage, aesthetic experience stage,aesthetic creative stage,and explain detailedly every stage.In addition,the mathematic aesthetic ability of secondary school students is analysed from both thinking ability and aesthetic psychology.The third chapter analyses the situation about mathematic beauty in the secondary scool mathematic teaching material to take the high school mathematic teaching material from Beijing Normal University press for example.The author inspects where and how the material show mathematic beauty.The forth chapter discuss the strategies of mathematic aesthetic teaching.firstly,the author give advices to the secondary scool mathematic teacher including(1)Changing traditional ideas about teaching; (2)Having beautiful image;(2)Improving aesthetic quality and mathematic quality;secondly,the author discuss the strategies of mathematic aesthetic teaching from two aspects.The strategies about teaching of mathematic knowledge are (1)finding the mathematic aesthetic knowledge from the material and showing it to students;(2)setting up "aesthetic-basing on aesthetics"teaching model;The strategies about teaching of mathematic knowledge include (1)creating beautiful teaching scenes;(2)giving students space for imagination in teaching;(3)guiding students in right aesthetic direction and good emotion,summing up mathematic aesthetic experience.The 5chapter elaborates the process of teaching designs on mathematic aesthetic,including recitation section about conic section and the properties of binomial coefficients.

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CLC: > Culture, science,education, sports > Education > Secondary education > Subjects teaching methods, teaching aids > Mathematics
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