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Junior High Pupil Geometry Proof Understanding Investigation And Study

Posted on:2008-04-09Degree:MasterType:Thesis
Country:ChinaCandidate:H Y MaFull Text:PDF
GTID:2167360215979630Subject:Curriculum and pedagogy
Abstract/Summary:PDF Full Text Request
Geometry curriculum reform mathematics education has always been a hot topic, while the geometric proof of which is the focus of teaching. Compulsory education in mathematics curriculum standards, a weakening demand for the geometric proof, to allow students to experiment more intuitive understanding of graphics. Such treatment is beneficial to allow students to experience the process of exploring the nature of the graphics. but also, to a certain extent, reduce the logical thinking ability in students. On this issue, there are many controversies in mathematics education. Therefore, the degree of understanding of our junior high school geometry proved meaningful analysis of the survey.The survey of students from the following five aspects of the understanding of the geometric proof.1. Geometry students have proven format of the picture.2. The argument to prove students have to step in the understanding of evidence.3. Graphic geometric proof of inspection and certification students should have a general understanding of the situation.4. Survey of students, "is erroneous appraisal cycle" of the situation.5. Students need to understand the inspection of geometric proof.Through analysis of the results of the investigation come to the following conclusions.1. The general format for students to master the geometry proved better. Through an analysis of the results, 90% of students have mastered the writing process proved format It is shown that a clear description of each step will do, adding to learn the truth. definitions and theorems have a clear framework in which to find a suitable material for the basis, have a clear understanding "to prove that the conclusion was not a valid argument for proof" of that fact. This shows that most students have completed the basic interpretation proved that the process of understanding the evidence, Preliminary experience in the form of logic "statement --" proof way of thinking.2. General geometric proof of the necessity and the students can prove that they truly appreciate. Through investigation and analysis, we prove that the junior high school and the necessity to prove the general master's solid enough Only 10% of students hold a general understanding and experience proved the need to prove that 90% of the students of the graphic nature of that experiment, the method of measurement can fully explain. Most of the students from the geometric to the geometric proof of the transition period, could not achieve the object lesson. Based on the results of this study, this paper presents a number of perspectives.
Keywords/Search Tags:geometric proof, Understand, Necessity, General
PDF Full Text Request
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