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Research On Senior Middle School Mathematics Proposition From The Perspective Of Mathematical Beauty

Posted on:2023-09-07Degree:MasterType:Thesis
Country:ChinaCandidate:X Y LinFull Text:PDF
GTID:2557307151479374Subject:Mathematics education
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With the progress of the times,the society has new requirements for talents —talents with all-round development of morality,intelligence,physique and aesthetics.To achieve this new concept of talent,educational reform faces new challenges and tasks.Mathematics education teaching is no exception,that is to pay more attention to the comprehensive quality of students,strengthen the penetration of mathematics aesthetic education.This thesis is devoted to the study of high school mathematics proposition from the perspective of mathematical beauty.On the one hand,it enriches the penetration and examination of questions in mathematics aesthetic education,application consciousness and innovation consciousness.On the other hand,it has developed the theory of mathematical beauty test question proposition,providing propositional workers with test question proposition strategies.This dissertation is divided into three parts.The first part defines "the definition of mathematical beauty" and "the form of mathematical beauty" through literature research,and obtains six types of forms mainly studied in this thesis through teacher questionnaire survey,including "symmetrical beauty","concise beauty","proportional beauty","dynamic beauty","strict beauty" and "abstract beauty".The second part preliminarily constructs the theoretical basis of mathematical beauty proposition,including proposition principle and proposition strategy This paper discusses six propositional principles: "scientific principle","normative principle","adaptability principle","ability principle","innovation principle" and puts forward "aesthetic principle",which are expounded by cases According to the questionnaire survey and literature reading,three proposition strategies are summarized: "proposition strategy from the perspective of aesthetic elements","proposition strategy from the perspective of aesthetic intuition" and "proposition strategy from the perspective of aesthetic form",supplemented by case interpretation.In the third part,the six types of mathematical beauty are propositioned one by one,and the above three proposition strategies are combined to carry out the practice and test evaluation of the proposition.Among them,the proportional beauty and the dynamic beauty adopt the proposition strategy from the perspective of aesthetic elements.Symmetrical beauty and concise beauty adopt the propositional strategy from the perspective of aesthetic intuition.The rigorous beauty and abstract beauty adopt the propositional strategy from the perspective of aesthetic form.The test of the test includes written test and questionnaire survey,and the test is quantitatively and qualitatively analyzed.The results show that: on the basis of following the theoretical basis and the principle of command,combining with the three proposition strategies to carry out the mathematical beauty proposition can basically realize the examination requirements of knowledge examination goal,ideological ability screening,mathematical aesthetics penetration and so on.At the same time,to a certain extent,let the students experience the beauty of mathematics,stimulate their interest in learning and application consciousness and innovation consciousness.
Keywords/Search Tags:mathematical beauty, compilation of mathematical beauty test questions, compilation for mathematical subjects in test, proposition strategy
PDF Full Text Request
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