Research On The Cognitive Construction Of The Power Function Learning Of High School Students

High school students enter function learning to experience from special to general thinking experience,in the process of thinking gradually improved.The core of function thinking is modeling,the essence is formal symbol operation,and the key is to discover and symbolize the general correspondence.Power function is the first basic elementary function of middle school students' contact in Shanghai teaching edition,which is a great challenge to the thinking requirements of senior high school students,and requires teachers to adopt strategies for effective guidance in cognitive construction.This study analyzes the common mistakes of high school students in power function learning,the knowledge structure of power function content in middle and high school textbooks,investigates the cognitive process of high school students in power function learning to understand the cognitive structure characteristics of high school students in power function learning,puts forward the corresponding teaching strategies and carries on the teaching practice test to check whether it can promote the cognitive construction of students learning power function.This research mainly adopts the sound thinking method and the action research method.Using the method of sound thinking to understand the students' cognitive level,when students solve problems,encourage them to speak out loudly,use recording pen and other equipment to record the thinking process of students solving problems,and then analyze the collected data to understand the students' cognitive level.Using the action research method,the author puts forward the corresponding teaching strategies to construct the students' cognitive structure according to the characteristics of the students' cognitive structure,integrates it into the teaching design to generate the teaching task to carry on the teaching practice in the high school students.According to the research results,the teaching strategies which can help the first-year students to construct the cognitive structure of power function are extracted :(1)discriminating examples,studying details,establishing the concept of power function in many ways,(2)experiencing the forming process of power function image,deeply understanding the rules of power function number transformation,(3)looking at the critical value alternately,classifying and grasping the whole,establishing the cognitive structure network of power function,(4)applying the mode of "problem,inquiry,application,induction" in teaching.