Triangular Figure Transformation For Eighth Grade Students Investigation And Study Of Learning

Graphic transformation is one of the important contents clearly stipulated in "Compulsory Education Mathematics Curriculum Standards"(2011 edition),which is beneficial to cultivate students' practical operation ability,form intuitive imagination,logical reasoning ability and movement consciousness.Graphic transformation is also the new direction of the final part of the regional life test,in recent years in the examination questions frequently appear.The author's research value of triangle graph transformation lies in: first,to learn this part of knowledge well,to master the thinking to treat the problem with transformation;Second,improve students' level of geometric thinking,develop students' visual imagination and logical reasoning and other core qualities.The paper proceeded from the teaching analysis of the nature and the judgment theorem of triangle figure transformation,and adopted the means of literature research,interview and questionnaire survey to take diagnoses of "triangle figure transformation" among 150 eighth grade students in a middle school in Zhangjiakou City,Hebei Province.Through the questionnaire survey of the eighth grade students and the interview of mathematics teachers,the research conclusions are as follows:(1)The basic knowledge of triangle transformation is not well mastered;(2)lack of visual imagination in triangle transformation;(3)The logical reasoning ability of triangle graph transformation is not strong;(4)The ability of triangle graphic transformation application needs to be improved.In view of the shortcomings of the 8th grade students in various aspects of triangle transformation,the author puts forward the following suggestions: First,strengthen the students' study of the basic knowledge of triangle transformation;Second,cultivate students' visual imagination of triangle transformation by drawing and conjecture.Third,strengthen the students' triangle transformation logical reasoning exercises;Fourthly,cultivate the students' ability of topic examination and knowledge transfer,and improve the ability of students' application in triangle graph transformation.In the actual teaching,the author formulated the teaching design according to the teaching suggestions,and used in the classroom practice,to actually test the feasibility of the teaching design.Finally,according to the results of the comparison between the two classes,the teaching effect is affirmed,and the students' visual imagination ability,logical reasoning ability and practical application ability are improved,so that students have made great progress in all aspects.