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A Comparative Study On The Teaching Material Of Solid Geometry Course Integrating Intuitive Imagination Mathematics Literacy

Posted on:2022-01-13Degree:MasterType:Thesis
Country:ChinaCandidate:K Y ChenFull Text:PDF
GTID:2517306479994279Subject:Applied Mathematics
Abstract/Summary:PDF Full Text Request
As one of the six core mathematics competence,intuitive imagination is a key ability for students to cultivate.As the knowledge points in the chapter of solid geometry are an important carrier to cultivate the intuitive imagination,how to integrate the intuitive imagination is also something that many scholars want to explore.Moreover,because there are still few researches on the analysis of the textbook on the core literacy,this paper hopes to study how to integrate the visual imagination into the textbook of solid geometry in high school.It is expected to put forward some suggestions for the cultivation of the core quality of visual imagination in solid geometry learning in high school.This paper mainly explores what kind of intuitive imagination is contained in the content of "solid geometry" in the textbooks of PEP and Shanghai editions of high school and compares the solid geometry part in the textbooks of PEP and Shanghai editions of high school from the perspective of intuitive imagination.This paper mainly conducts research through content analysis and comparative research method.After consulting all kinds of literature,the analysis framework of the textbook is established,and the textbook is analyzed according to the structure and content of the textbook.In combination with the knowledge points involved in solid geometry,the intuitive literacy is divided into using geometric graphics to describe problems and using spatial imagination to understand things.After subdividing,the analytical framework of intuitive imagination is established,and the following conclusions are obtained by using the framework for analysis:Materials set aspects:(1)As for the "introduction" part,the PEP and the Shanghai editions is similar in solving problems by using graphics.The Shanghai editions involves more kinds of simple geometry than the PEP editions.In terms of spatial imagination,the ability of abstractly drawing geometric shapes according to the characteristics of physical objects is the most involved in the two versions,while the Shanghai version involves more kinds than the People's version.(2)As for the "sample questions" part,The two editions have their own emphasis on solving problems by using graphics.The Shanghai edition involves slightly more types of spatial imagination than the PEP edition and is more even.(3)As for the "exercises" part,the distribution of the two editions is similar,but in using geometric graphics to describe problems,the number of each abilities in the Shanghai textbook is greater or equal than that in the PEP.Content of the course :(1)In terms of "basic three-dimensional graphics",the two editions focus on simple geometry and simple combination,while the PEP version is more evenly involved in spatial imagination;(2)In terms of "the position relationship of spatial graphics",there is little difference between the two editions in solving problems by using graphics,but the Shanghai edition involves more kinds in terms of spatial imagination.
Keywords/Search Tags:textbook comparison, solid geometry, intuitive imagination, mathematics key competence
PDF Full Text Request
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