A Case Study Of High School Students’ Cognitive Understanding Process Of "Function Image Transformation"

Functional image transform in senior high school is one of the difficulties in teaching.One of the ultimate problems that senior high school students face in learning functional image transformation knowledge is that they can correctly solve any problem related to functional image transformation,Therefore,image transformation of learning function is very important for high school students.The current situation is that most senior high school students can not really understand functional image transformation.Therefore,it is necessary to study the cognitive process of functional image transformation among senior high school students.⑴The main problems in this paper are as follows:⑵Through case studies,this paper explores the cognitive understanding process of functional image transformation among senior high school students.⑶The factors affecting the cognitive process of functional image transformation of senior high school students;Based on the analysis of the influencing factors of the cognitive understanding of functional image transformation of senior high school students and the cognitive understanding process of functional image transformation of senior high school students,some effective teaching suggestions on functional image transformation are put forward.The characteristics of high school students’ cognitive understanding of functional image transformation are as follows:(1)It has initiative.(2)It has continuity.(3)It has quickness.This article mainly through the case study method,the oral report method and the interview method combination way,The main factors influencing the cognitive understanding of function image transformation in senior high school students are as follows:(1)the relationship between existing knowledge and new knowledge.(2)descriptive knowledge of function image transformation.(3)application of function image transformation.(4)function graph the related principles of image transformation.(5)teachers teaching.(6)students undefined thinking stereotype.The process of high school students undefined cognitive understanding of functional image transformation is the continuous improvement of the production system in the existing cognitive structure of senior high school students undefined minds.Finally,the effective teaching suggestions are as follows: ⑴ do not give the problem-solving template and guide the students to understand the function imagetransformation.⑵ guide students to reflect,promote the understanding and grasp of function image transformation.⑶ evaluate the students undefined learning situation in time and communicate with the students on their own initiative.⑷ to formulate accurate teaching contents and teaching methods to promote the transition of students from false understanding to actual understanding.⑸ to guide students to contact the old and new knowledge naturally.