| Because the subject of mathematics itself is abstract,"mathematical abstraction"became the "net red word" of mathematics education session,and the topic of "how to cultivate the core abstraction of mathematical abstraction for high school students" was educated.Unprecedented attention.At present,domestic front-line teachers and educational researchers have been studying the problems related to mathematical literacy from multiple perspectives,but there are few researches on the factors that affect the cultivation of mathematical abstract literacy.Therefore,this article conducts research on this issue.After searching,browsing,reading,and analyzing related literature on"Mathematical Abstract Literacy Influencing Factors" and "Mathematics Abstract Literacy Training Strategies",four kinds of methods,namely,literature research method,questionnaire survey method,quiz method,and statistical analysis method were proposed.Methods To conduct research,use literature research methods to formulate research content and research ideas,and use questionnaires and test papers to conduct surveys on "mathematical abstraction" for senior students.The questionnaires involved the investigation of possible factors affecting mathematical abstraction literacy and the corresponding test papers.It is a survey of students’ abstract level of mathematics.It uses Excel and SPSS statistical software to analyze and process the survey data so as to achieve the purpose of the research,and then proposes corresponding training strategies according to influencing factors.Firstly,the research background,research questions,research purpose and significance,and research content and methods,and points out the direction and lays the foundation for this research.Secondly,the research on the impact of mathematical education,mathematical literacy,and the cultivation strategies of mathematical abstract literacy at home and abroad is organized and analyzed,and then the concept of mathematical abstraction is defined,and the division of mathematical abstract literacy levels is briefly described.At the same time,the theories of constructivist teachers,Piaget’s cognitive development theory,and the main factors affecting individual physical and mental development are briefly explained.Thirdly,the influential factors of mathematics abstract literacy of senior two students are analyzed.According to the mature foreign mathematical questionnaire tests(such as PISA,TIMSS)and the main factor theory that affects the physical and mental development of individuals,draw up influencing factors,make questionnaires,and test the reliability and validity of the questionnaire in the pre-test.Degree improvement questionnaire and formal measurement.The selection of test papers was determined based on the division of mathematical abstract literacy in Appendix I of the Standards for General High School Mathematics Curriculum(2017 Edition).The collected data was analyzed by Excel,and then analyzed by SPSS statistical software.The correlation analysis of each factor and the level of mathematical abstraction was mainly performed.Based on the correlation strength,multiple linear regression analysis was performed again to finally confirm the teacher’s literacy and prestige,Students ’initiative to learn mathematics,teachers’ design of teaching activities on mathematical abstraction,and students ’initiative to mathematical abstraction are the main influential factors in cultivating the core literacy of students’ mathematical abstraction.Environmental factors and teacher-student relationship,student-life relationship are secondary factors.,Gender and school nature have little to do with students’ level of mathematical abstraction.On the basis of the above conclusions,according to various influencing factors,a training strategy for students’ mathematical abstract literacy is proposed from three aspects:teachers,environment and students.Finally,the shortcomings of the research and the prospects for future research are put forward. |
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