Research On Trigonometric Function Teaching Based On APOS Theory And Learning Transfer Theory

With the deepening of education reform,China pays more and more attention to the education development of students.How to guide students to take the initiative to participate in learning and awaken internal motivation has become a concern of educational scholars.Scholars actively explore the feasibility of applying different educational theories to teaching practice and help students build knowledge networks.Trigonometric function is the beginning of students' learning of periodic function,which is quite different from the basic elementary functions learned in the past.Some teachers ignore the process of concept formation,causing students to pay more attention to "memory" than "construction".Teachers' lack of guidance on knowledge combing in teaching leads to students' lack of consciousness and ability of self-construction,and the incomplete construction of psychological schema has a great influence on students' learning effect.This study explores how to improve the teaching of trigonometric functions,and tries to integrate the theory of APOS and the theory of learning transfer to optimize the teaching strategy of trigonometric functions.Firstly,this thesis adopts literature analysis method to consult a large number of relevant literatures.It is found that both the APOS theory and the learning transfer theory take knowledge construction as the starting point,which provides the possibility for the combination of the two.Secondly,questionnaire survey and interview are used to analyze the present situation of trigonometric function teaching and learning in senior high schools.Through data collection and processing,the following problems are found in trigonometric function teaching:(1)Teachers ignore the formation process of trigonometric function concept.(2)The classroom lacks students' active participation and abstract reflection.(3)Teachers and students ignore the importance of the overall construction of knowledge.According to the problems existing in the investigation and research,the researcher takes the cognitive structure as the meeting point,theoretically probes into the feasibility of the integration of APOS theory and learning transfer theory,and concretely expounds the four-stage teaching strategies of learning transfer acting on APOS theory from the perspective of cognitive structure differences of knowledge.Finally,case analysis is used Teaching experiment method,from the selection of the teaching of the trigonometric function to two teaching contents,selecting proper teaching materials,the use of the student original cognitive design teaching cases and experiments,through qualitative and quantitative analysis of the results before and after the experiment proved the practicability of teaching strategy,studies have shown that this kind of teaching strategy can promote students to understand the nature of trigonometric function,the construction of knowledge network,increase the students The classroom participation rate,improve the actual teaching efficiency.In this study,learning transfer is horizontally integrated into the teaching framework of APOS theory as a teaching method for theoretical integration.However,the teaching strategy studied in this thesis is still in its initial stage.This strategy focuses on learning transfer in the first three stages,and the transfer of multiple schemas needs to be gradually improved in practice.