Textbook Analysis And Teaching Research On The Core Literacy Of Mathematics Abstraction

In today's informationalized and globalized social context,the cultivation of core literacy has become the focus and hot spot of education in all countries.The high school phase is a crucial period for students to form and improve their literacy.In the Mathematics Curriculum Standard of Regular High School(2017 Edition),six core literacy of mathematics disciplines have been condensed,namely,mathematical ion,logical reasoning,mathematical modeling,computational capabilities,intuitive imagination and data analysis.As the basis of rational thinking and an important way of thinking,mathematical abstraction is often regarded as an essential feature of mathematics,and its research is most basic and practical.The textbook is the breakthrough and important medium for the implementation of educational goals and the cultivation of student quality.It is the concrete embodiment and implementation of the curriculum standards,and the common material for students and teachers.High school mathematics textbooks contain abundant mathematical abstractions,which provide good materials and opportunities for students to develop their mathematical ion.However,what is the core literacy of mathematical abstraction?What content in the material reflects it?What abstract types do different mathematical contents belong to?How to cultivate students' core literacy of mathematical abstraction?In order to answer the above questions,this paper mainly uses the method of the literature analysis.Based on the relevant research at home and abroad,we choose the Edition A high school mathematics textbooks which published by People's Education Press,and combine with the mathematics curriculum standards for high schools to systematically analyze the connotation and the process of mathematical abstraction and the contents of the textbook.From different perspectives,we classify the content of mathematical abstractions contained in textbooks,analyze typical teaching cases that are facilitate students' mathematical abstraction core literacy,and propose suggestions for cultivating students' mathematical abstraction literacy,so that students can feel the existence of mathematical abstract literacy in the process of learning,experience mathematical abstraction process,and accumulate mathematic abstract activity experience,thereby improving their mathematical abstraction literacy.The specific research content is as follows:First of all,we combed and defined the concepts related to the core literacy of mathematical abstraction,and defined the connotation of the research object of this paper.And from the three aspects of the research on the core literacy of mathematical ion,the study of mathematical abstract attainment in the textbook and the study of the cultivation of mathematical abstraction,the present situation of the research at home and abroad has been combed and analyzed.Then,the research direction of this paper is clear,and it lays a good foundation for the following research.Secondly,based on the mathematics curriculum standards of high school and the actual teaching situation,we analyzed the content of mathematics abstract literacy in high school mathematics textbooks.Therefore,we give all the contents of the textbook that focus on cultivating students' mathematical abstract literacy and the scope of this study.From the perspective of abstract methods,abstract materials,and abstract results,we have made more detailed and detailed classifications of the contents of mathematics abstract literacy in high school mathematics textbooks,and have calculated the number and percentage of each category in each category.This will make teaching more targeted and purposeful,help teachers to arrange teaching activities more rationally,and use more appropriate methods for teaching.Thirdly,we have studied and combed the basic processes and main methods of mathematical abstraction.Based on this,we analyzed the two typical teaching cases--"concept of series" and "monotony of functions"--which are based on the content of textbooks and aimed at cultivating students'mathematical abstract literacy.From the perspective of the abstract process,it explains in detail how the teaching material embodies the mathematical abstraction and how it is arranged according to the abstract process.Finally,on the basis of the above research,we studied how to cultivate students' core literacy of mathematical abstraction from the perspective of students and teachers,gave some teaching suggestions,and gave a brief explanation combining teaching materials.The main conclusions obtained through the above research are:(1)The analysis and classification of the content of textbooks is conducive to the teachers' purposeful and reasonable arrangement of teaching materials and teaching activities in order to cultivate students' core literacy of mathematical abstraction;(2)From the perspective of results,the content of the abstraction of the quantitative relationship in high school mathematics textbooks is the most;(3)To cultivate students' core literacy of mathematical abstraction,teachers should raise their awareness,study teaching materials,pay attention to the process,and rationally design and organize teaching;(4)To improve the core literacy of mathematical abstraction,students should be given the time and opportunity to go through the mathematical abstraction process and accumulate activity experience.