Investigation And Research On The Support Of Mathematics Abstract Literacy In Current High School Mathematics Textbooks

With the deepening of the new curriculum reform,each subject has its own core literacy.The curriculum standards for general high school mathematics(2017 edition)proposes Mathematical abstract literacy is the first of the six core literacy of mathematics and plays a unique and irreplaceable role in the formation of human rational thinking,scientific spirit and the promotion of personal intelligence development.In order to better cultivate students' abstract quality in mathematics teaching,the Ministry of Education has compiled a new version of high school mathematics textbooks oriented to the core literacy of mathematics.High school mathematics textbook is an important textual basis for learning high school mathematics,and the task of cultivating students' core literacy is also inseparable from the textbook.How does the new textbook support the cultivation of students' mathematical abstract literacy? A reliable data is needed to explain.This will help teachers to grasp the content of teaching materials which is helpful to cultivate the abstract ability and promote the cultivation of students' abstract quality in mathematics.The main research methods used in this paper are literature research,investigation and statistical analysis.Through the literature analysis method,the research background of this paper and the related literature are determined,and the related concepts of this paper are defined.Through the survey method,the five parts of the textbook(knowledge presentation,proposition derivation,student activity arrangement,example giving,after class exercise design)are collected to support the three levels and four aspects of mathematical abstract literacy.Through statistical analysis,we can get the support of each chapter of the textbook for the three levels and four aspects of the mathematical abstract literacy,and then we can get the support of the whole textbook for the implementation of the mathematical abstract literacy and the support of each part of the textbook for the mathematical abstract literacy.Through research,we have found that the entire textbook has support for the four aspects of implementing mathematical abstract literacy,and most teachers believed that the support level has reached level two.The knowledge presentation part of the textbook and the student activity arrangement supported the eight aspects of implementing mathematical abstract literacy.The proposition derivation part of the textbook supported the nine aspects of implementing mathematical abstract literacy.The examples given in the textbook and the design of theafter-school exercises in the textbook supported the eleven aspects of implementing mathematical abstract literacy.Finally,according to the results of the research,this paper puts forward the basic requirements for teachers to use the new teaching materials to implement the mathematical abstract literacy.Firstly,teachers should combine modern information technology to make teaching materials intuitive.Secondly,teachers should excavate examples of teaching materials and complement examples in line with the characteristics of the school.Thirdly,teachers should supplement teaching resources connected with other disciplines.Fourthly,teachers should dig up the mathematical culture of teaching materials and refine mathematical thinking methods.Fifthly,teachers should focus on group cooperation and exchange and grasp the generated classroom resources in time.Sixth,teachers should reasonably add and exchange case exercises to meet the needs of different students.Seventh,teachers should add case exercises with problem situations to improve the application awareness.Eighth,teachers should attach importance to the summary of case exercises to improve the transfer awareness.