| With the deepening of curriculum reform,more and more attention has been paid to the cultivation of students' mathematical abstract ability.One of the six core mathematical literacy condensed in the general High School Mathematics Curriculum Standard(2017 Edition)is "mathematical abstraction".From the perspective of core literacy,mathematical abstraction,as an important thinking quality,plays an important role in the formation of students' key abilities,emotions,attitudes and values,which are necessary for lifelong development.The knowledge of mathematics is based on the concept,and the formation of mathematical concept has experienced induction,analogy,imagination and other ways of thinking.However,most of the mathematical concepts in teaching materials are presented in the form of mathematization,which inevitably leads to the illusion that students think mathematics is boring.Hence in mathematics teaching,how to transform the cold mathematical concepts into the hot thinking,reproduce the discovery and abstract process of mathematical concepts so as to cultivate the students' abstract ability,and maximize the role of mathematical concepts in the cultivation of students' core literacy,is a problem that every mathematics teacher should think about.In view of this,the study will explore the related problems of concept teaching and mathematical abstract ability,in order to seek the teaching strategies of cultivating abstract ability in mathematical concept teaching.Based on mathematics education theory and teaching practice,this study adopts literature analysis,investigation,interview,case analysis and other research methods.Combined with the relevant research results and current investigation conclusions of predecessors,this paper summarizes and analyzes the specific teaching strategies for implementing concept teaching,and takes the concept of plane vector as an example to apply the strategies in order to improve students' mathematical abstraction ability.The research content is divided into the following parts:First,collect and sort out mathematical concepts and relevant literature about mathematical abstractions,analyze the relationship between mathematical concepts and mathematical abstractions,explore the general rules that should be followed in the implementation of concept teaching,define relevant core concepts,and determine the theoretical basis of this study.Secondly,in order to understand the teaching practice of senior high school mathematics teachers and the mathematical abstraction ability development present situation of students,for a senior high school with 20 mathematics teachers and 153 students to been investigating,the results show that it is clear for teachers to cultivate students' subjective awareness of abstract ability in concept teaching,but there are still some problems,for example,the teaching concept has not been improved in time and there is no initiative;students have obvious differences in the development of situation and problem,knowledge and skills,thinking and expression,communication and reflection of mathematical abstract ability;the level of abstraction still needs to be improved;the way of thinking needs to be improved;the ability of expression needs to be strengthened;the awareness of autonomous learning and cooperative communication is not enough.Third,combining previous concepts of mathematics learning psychology and the study of the teaching process of the teaching design is divided into: the introduction of the concept,form,concept description,the strengthening of the concept and application of four stages,and in the practice background of current situation survey results,the inductive analysis based on mathematical abstraction ability under the specific teaching strategies for implementation of each link.Finally,the author takes the concept of plane vector as an example to organize the process of teaching activities in order to support the feasibility of the proposed teaching strategies. |
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