A Case Study On Cultivating Mathematical Abstract Literacy Of Senior Middle School Students In Concept Teaching

Mathematics curriculum standard of senior high school(2017 Edition)(the following referred to as The Standard)proposes that the goal of mathematics education is to cultivate students' core literacy in mathematics.In order to implement the goal of a new round of curriculum reform in practical teaching,this study chooses one of the core mathematics literacy(mathematical abstract literacy)for specific research.Through literature research,it is found that abstract literacy of mathematics is closely related to concept teaching.Therefore,this paper takes the mathematical concept as the knowledge carrier to cultivate mathematical abstract literacy and carries out the case study on how to cultivate students' mathematical abstract literacy in the concept teaching.The questionnaires involved in this study are divided into student papers and teacher papers.It is expected to reflect the current situation of mathematics concept teaching in high school from the perspective of teachers and students.The objects of the questionnaire survey are students of six parallel classes of grade 2 in some senior high schools in Nanchong city and corresponding math teachers as the respondents.I used the data analysis software to test the reliability and validity of the final data of the questionnaire,then carried out descriptive statistical analysis and inferential statistical analysis of the data,and finally came to the conclusion that the current situation of mathematics concept teaching in high school is at a medium level.The main problems in concept teaching are as follows: Most teachers fail to take three-dimensional goals into full consideration when formulating teaching objectives;Most teachers do not have a clear understanding of mathematical abstract literacy,and fail to implement the cultivation of mathematical abstract literacy in teaching;In ordinary concept teaching,most teachers do not pay attention to the creation of the best situation.This research is realized by questionnaire survey to understand the current situation of high school mathematics concept teaching from a macro perspective.And the case study is more detailed from the point of view of the micro mathematics abstract accomplishment,to observe the high school mathematics concept teaching.The case analysis object of the study is selected from the two main content lines of the courses of function,geometry and algebra.It comes from the real classroomand contains three segments of high school mathematics concept teaching.Based on the case analysis standard,the paper analyzes the teachers' teaching behavior and students' learning results.The purpose is to analyze the advantages and disadvantages of teachers in cultivating students' mathematical abstract literacy in the real high school mathematics concept teaching from the perspective of the microscopic mathematical abstract literacy;From the case analysis,this paper summarizes the characteristics of conceptual teaching that can cultivate students' mathematical abstract accomplishment: criticality,gradation and comprehensiveness.Finally,based on the results of questionnaire survey,case analysis and the three levels of mathematical abstract literacy(in terms of mathematical concepts),the following teaching suggestions are put forward to cultivate students' mathematical abstract literacy in conceptual teaching: concept teaching target precision,focus on mathematical abstract accomplishment;To optimize the concept teaching link and cultivate the students' mathematical abstract quality;Strengthen teaching reflection and develop mathematical abstract accomplishment.