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Research On The Content Changes Of Space Geometry In Senior High School Mathematics Of "PEP"(1951-2007)

Posted on:2020-11-06Degree:MasterType:Thesis
Country:ChinaCandidate:X Y ChenFull Text:PDF
GTID:2417330596471263Subject:Rural Education
Abstract/Summary:
Solid geometry is an important branch of geometry,it can not only train students’ intuitive perception,logical thinking,but also train students’ spatial imagination ability.It is an important content of mathematics teaching in senior high schools.As an important branch of solid geometry curriculum,with the deepening of educational reform,the content arrangement and setting of space geometry has gradually attracted the attention of educators.Based on this,this paper takes ten sets of high school mathematics textbooks published by People’s Education Publishing House from 1951 to 2007 as the research object.It mainly adopts three research methods: literature research,comparative research and chart method.According to the background characteristics of different times,it is divided into four stages to study the evolution and development of space geometry volume in the past 60 years.In order to explain the changes of space geometry contents in the ten sets of high school mathematics textbooks,and conclude features and analysis of causes the followings are the main research contents.In the first place,according to the curriculum standard(syllabus),this paper introduces the background of arrangement of en sets of high school mathematics textbooks and illustrate the structure arrangement of the content of spatial geometry in each set of high school mathematics textbook in four stages,analyzes the characteristics,and finally makes a summary.In the second place,from the spatial geometry of column,cone,table,sphere related content of the introduction,definition,related properties,three view and view,surface area and volume formula of the proof and derivation,this paper particular illustrate the characteristics of its change.Finally,the conclusion is drawn.In the concept introduction,it grows out of nothing and is gradually excellent.In the concept expression,it has gone through the process from complexity to simplicity and has gradually gone to the process of rigor.In the three-view settings,the second set of textbooks was first proposed in two views,and the knowledge system was not perfect enough to gradually improve.In the formula derivations,the derivation method changes relatively,and the formula requirements also change accordingly.In the settings of the topic,it has gradually stabilized from nothing to something and from more to less and based on its content changes and development trend,some suggestions are put forward from the following aspects,compilation should conform tostudents’ cognition,compilation should pay attention to practicality,compilation should meet students’ needs,and textbook compilation should not be ignored.
Keywords/Search Tags:PEP, High school mathematics textbook, Three views, Course Standard(Syllabus)
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