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Re-understanding Of The Beauty Of Mathematics And Strategy Of Aesthetic Teaching

Posted on:2005-10-25Degree:MasterType:Thesis
Country:ChinaCandidate:L L FuFull Text:PDF
GTID:2167360125465151Subject:Curriculum and pedagogy
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Mathematics is beautiful, It means mathematics has lots of traits of aesthetic . But mathematics beauty has its specific,Mathematicans and philosophers in the ancient Greece Age recognized mathematics aesthetic was a rational aesthetic in the study mathematics, In modern times,researches about mathematics beauty chiefly concentrated on the importance of mathematics aesthetic method in the mathematical findings and inventions from the methodology. Some great mathematicians discussed the relations of mathematics aesthetic and mathematical intuition through their rich experience of undergoing mathematics beauty, They also expunded good mathemtics aesthetics feeling could improve incapacity of mathematical creative thinking, And pursuiting of mathematics aesthetics is the main motive power of mathematical development.On the discussion of mathematics aesthetic in the internal or in the external, almost focused on expressing one's understanding of mathematics beauty from all diferrent aspects.In American , The newachivement about consideration of mathemticcs aesthetic principally had reviews of G.C.RotaProfessor,For instance, he deemed the researches of mathematics beauty should based on the concrete, subjects of mathmatics, including mathematical definitions,mathematical theorems,mathematical testify,mathematical graceful methods. etc. And mathematics aesthetic should meet with themathematical pratice work, Feeling of mathematics aesthetic only deeps into the mathematical activity.In domestic, the consideration of mathematics aesthetic began under the initiation of professor,Xu Li Zhi, Until now, many mathematicians have had achievements of study mathematics beauty.For example, generalizing three factors of mathematics aesthetic: harmony, terse, strange. elemently established the disciplne of mathematics aesthetic,especially the research of mathmatics beauty combining with mathematical classroom teaching is a new bright aspect of mathematics aesthetic study.Some famous mathematicians do this study in theory, And many mathematical teachers in the middle school do this study in practice. Therefore, uniting mathematics aesthetic with mathematical classroom teaching could motive student's interesting of learning mathematics by their appreciating mathematics aesthetic to some extent, foster their mathematics aesthetic ability and form allround mathematical idea.The essay firstly studies and analyses the achievements of the beauty of mathematics under consider-ation in the internal and in the external by the method of study document. In courser of the researches,I found original research principlly focused on describing the aesthetic traits of mathematical subject, It was a static concept, did not deep into mathematical activity and study the beauty of mathematics. So, I consider the research of mathematics aesthetic should base on dynamic concept, and links mathematical concrete activity and the process of forming of mathematical aesthetic feeling,meantime I posed viewpoint of "mathematics process aesthetic". In fact, "mathematics process aesthetic"means that mathematicians and mathematical researchers gain the aesthetic feeling of their going deep soul in the process of study mathematics,when their structure of mathematics aesthetic matchs with aesthetic structure of mathematical objects. the beauty of mathematics is a unite of subjective and objective. Student's feeling of mathematics aesthetic comes from their understanding and experience of mathematical objectives in their own mathem- atical activity. a case of mathematical teaching of this essay also refects the concept of "mathematics process aesthetic".forthmore, "theory of mathematics recognized constructure"could perfectly explain the mental mechanism of forming mathematic aesthetic feelings from psychology and could better discuss the establishment of constructure of mathematics aesthetic recognization. To some extent, the viewpoint of "mathematics process aesthetic"is a new consideration from new visual angle.Secondly,the con...
Keywords/Search Tags:the beauty mathematics, the mathematics aesthetic feeling, the mathematical process aesthetic, the mental constructure of mathematics aesthetic, the teaching strategy of mathematics aesthetic
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