Research On Teaching Strategies Of Mathematical Concepts Based On CPFS Structure

Mathematical concepts are the beginning of learning mathematics,the foundation of constructing mathematical knowledge structure,and the basis of learning various formulas,theorems and other knowledge.In middle school mathematics teaching actual,however,the model of concept teaching is still biased towards "one definition,three attentions",that is,it pays more attention to the semantic understanding and memory of concepts,and pays more attention to solving problems than concepts,resulting in the students do not pay attention to the study of mathematical concepts,failing to master the essence of mathematical concepts well and establishing a good cognitive structure.Professor Yu Ping put forward the theory of CPFS structure,holding that the formation of CPFS structure by individuals is the basis of knowledge understanding,which is conducive to the storage and extraction of knowledge and integrates knowledge with methods.Using this theory to teach mathematical concepts can help students to reveal the essence of concepts from a deeper level,understand mathematical concepts from multiple perspectives,and improve students' understanding and mastery of mathematical concepts.Firstly,this study adopts the literature research method to classify and analyze the related researches on "CPFS structure" and "mathematics concept teaching",so as to understand the current status of relevant researches.Secondly,it finds out the current situation of students' concept learning and the problems in concept teaching through investigation.Finally,based on the cognitivism theory,constructivism theory and meaningful learning theory,combining "CPFS structure" with mathematical concept teaching,aiming at the problems found in the investigation,this paper puts forward mathematical concept strategies based on CPFS structure,and applies them to specific examples for analysis.The teaching strategy of this paper is divided into four parts:introduction of concepts,definition and understanding of concepts,consolidation and application of concepts and construction of concept system.In the stage of concept introduction,combining with Dewey's growth theory,we find the growth point suitable for the new concept to carry out concept teaching;In the stage of defining and understanding the concept,the new concept is revealed from different aspects and perspectives,and appropriate variants are adopted to deepen the understanding of the new concept;In the stage of concept consolidation and application,students should be guided to actively explore different ways to solve problems,and pay attention to cultivating students' habit of summarizing and reflecting in time;In the teaching of conceptual system construction,we should pay attention to integrity,and use concept maps to help students build a good CPFS structure.Through the application of relevant strategies in teaching,the following conclusions are drawn: The teaching strategy of mathematical concepts based on CPFS structure is helpful to improve the efficiency of students' learning of mathematical concepts,and help students understand and master mathematical concepts better.