An Investigation And Research On The Status Quo Of Junior High School Students' Grasp Of Geometric Transformation

Both "Full-time Compulsory Education Mathematics Curriculum Standards(2011 Edition)" and "Shanghai Primary and Secondary School Mathematics Curriculum Standards(Trial Draft)" have set clear requirements for geometric transformation.In the junior high school level examination,the inspection of geometric transformation is becoming more and more strict.However,students often feel at a loss when faced with geometric transformations.Therefore,this article takes eighth grade students as an example to study the junior high school students’ mastery of geometric transformations,hoping to find out the reasons why they have difficulty in mastering geometric transformation,and propose corresponding strategies to help students learn better and help teachers teach better.Based on Van Helie’s theory and the requirements for geometric transformation in the curriculum standards,this paper has produced a test paper to examine students’ mastery of geometric transformation,and intends to discuss the following three questions:1.How about the junior high school students’ mastery of geometric transformation?2.What are the reasons that make it difficult for students to solve problems with geometric transformation?3.What teaching strategies are adopted to help students better master geometric transformations?This article uses the literature review method,the questionnaire method and the interview method to study the above issues.The research results are as follows:70.5% of the students are at level 2 of geometric transformation,and can basically grasp the concept,nature,drawing method and calculation of geometric transformation.26.9% of the students are at level 3 in terms of their mastery of geometric transformations.They can make corresponding figures according to the meaning of the questions,and they can also flexibly use the nature of geometric transformations to solve more complex calculation problems with a high degree of mastery.Junior high school students have the highest degree of mastery of translation,followed by axisymmetric,and the lowest degree of mastery is rotation.The reason for the difficulty of solving problems for junior high school students is that memory has forgotten after a long time of study;students are inaccurate in drawing,ignoring the nature of not changing the size and shape of figures before and after the transformation;when solving calculation problems,students do not use the nature of geometric transformation,but use the method of guessing special angles to solve the problem.Through the analysis of test papers and interviews,this article constructs several strategies for readers’ reference: deepen the substantive understanding of concepts;pay attention to the similarities and differences between geometric transformation concepts;use multimedia software to enrich teaching;strengthen students Drawing ability;combining geometric transformation with reality;actively permeating the thought of geometric transformation.