Font Size: a A A

Research On Cultivating Mathematical Abstraction Quality In Senior High School's Mathematical Concept Teaching

Posted on:2020-01-20Degree:MasterType:Thesis
Country:ChinaCandidate:S Y LinFull Text:PDF
GTID:2427330620956737Subject:Mathematics education
Abstract/Summary:PDF Full Text Request
In recent years,perhaps one of the hottest topics in mathematics education research is "mathematics core literacy"."Mathematics Curriculum Standards for Senior High Schools(2017 Edition)" promulgated by the Ministry of Education,definition of "Six Core Literacy" in Mathematics Discipline,it is an important thing to cultivate students' core literacy.In this paper,the mathematical abstract literacy of the six core literacy is taken as the research object,taking the Teaching of Mathematical Concepts in Senior High School as the Carrier,in the Teaching Process of Mathematical Concepts,gradually train students to observe the world from the perspective of Mathematics,probing into Problems by Mathematical Thinking,handling and solving problems,in order to cultivate students' abstract mathematics literacy.Firstly,this paper combs the research results of mathematics abstraction and mathematics concept teaching,the basic connotation and training strategy of mathematical abstract literacy are systematically analyzed.On this basis,using test method to test the level of mathematics Abstract literacy of the sophomores in a high school in Zhangzhou City,questionnaire survey was used,current Situation of Mathematical Concept Teaching in Senior High Schools Oriented to Mathematical Abstraction Literacy.The results show that:(1)Generally speaking,the level of students' Abstract literacy in mathematics is not high,most students are at level 1,very few students are at level 2,individual students reach level 3;(2)Teachers Pay Attention to the Application of Mathematical Concepts in Teaching,however,the background of mathematical concepts is often neglected,lack of attention to the introduction of concepts,the formation of concepts usually passes by,the process of abstract generalization is seldom given to students,insufficient in-depth understanding of concepts,this is not conducive to the cultivation of students' mathematical thinking.Based on this,this paper puts forward the teaching strategies of high school mathematics concepts aiming at the cultivation of abstract mathematics literacy:(1)In the concept introduction stage,it is pointed out that attention should be paid to:Abstract mathematical problems in real situations;Abstracting Mathematical Problems in Mathematical Context;Abstracting mathematical problems in scientific context.(2)In the conceptual formation stage,it is pointed out that attention should be paidto:Experience practical operation,propose key attributes,forming mathematical concepts;Problem-based Solution,extracting the essence of concepts,forming mathematical concepts;Relying on specific background,summarize common attributes,forming mathematical concepts.(3)In the stage of conceptual understanding,it is pointed out that attention should be paid to:Variation analysis,deepening concepts;Counterexample set off,deepening concepts;sublimation by mistake,deepening concepts.
Keywords/Search Tags:High school mathematics, Mathematical abstraction, Mathematical concept, Concept teaching
PDF Full Text Request
Related items