Investigation On The Support Of Mathematical Modeling Literacy In Current Senior Middle School Mathematics Textbooks

Mathematical modeling literacy,as one of the six core literacy of mathematics,is an important driving force to promote the development of mathematics and the key to implementing the fundamental tasks and education policies of the Party of Leaders.Cultivating students' mathematical modeling literacy plays a vital role in accomplishing the training objectives of the new curriculum standards,promoting the personality and comprehensive development of students,and laying the foundation for students' lifelong development.Textbooks,as the guide and main basis of education and teaching,are important teaching resources for achieving the goals of mathematics courses and developing core literacy of students in mathematics,and serve as teachers' instruction and support.Textbooks not only provide the most authoritative source of information for teacher teaching,but also are a necessity and important teaching resources for teacher teaching activities.It can be seen that the teaching materials have restricted the teaching content,teaching direction,teaching difficulty,teaching depth and even the entire teaching process to a great extent.Therefore,studying how much each part of the current high school mathematics textbook supports the implementation of the core literacy of mathematical modeling can effectively promote teachers to better implement the core literacy of students' mathematical modeling through the textbook.The main research methods used in this paper are literature research method,quantitative analysis method,interview survey method and questionnaire survey method.The literature research method can help to define the definition,connotation and training methods of the core literacy of mathematics and core literacy of mathematical modeling,better grasp the meaning of the concepts,and understand the status and deficiencies of current research.Based on this,we will check for gaps,and sort out how to use the textbooks to implement students' mathematical modeling literacy and methods for data processing.According to the General Senior High School Mathematics Curriculum Standard(2017),the three levels and four stages of mathematical modeling literacy can be divided,and quantitative analysis can be used to quantitatively study the certainty of the degree of support for mathematical modeling literacy in textbooks.In this way,the degree of support for mathematical modeling literacy in senior high school mathematicstextbooks is carefully and accurately determined.Interview with teachers before the survey to discuss the accuracy and objectivity of the division of each part of the high school mathematics textbooks.We can use interviews and survey methods to ensure the comprehensive and objective division of textbooks with the help of outstanding teachers.Using questionnaire survey methods,through a large number of outstanding front-line teachers' recognition and grasp of the textbooks,we can obtain the degree of support for mathematical modeling literacy in high school mathematics textbooks.Through in-depth analysis of the results obtained by the research institute,I have obtained that each chapter of the textbook as a whole has a degree of support for the four aspects of mathematical modeling literacy,which is more comprehensive.And in knowledge presentation,proposition derivation,student activity arrangement,example problem giving,after-school problem design,the textbook completely covers the four aspects of situations and problems,knowledge and skills,thinking and expression,communication and reflection.Every aspect of knowledge presentation is at level one,and there are fewer support points.Each aspect of the proposition derivation is also at level one,but there are many support points.The level of support of the Student Activity Arrangement Department level 1 and level 2 is comparable.The example questions and the design of the after-school exercises have better support for level two.Aiming at the results of the research and the current curriculum standards for teaching requirements,I have put forward suggestions for teachers to use teaching materials: Take a unified view of the textbook and construct the modeling process as a whole.Teachers should develop preparatory content in order to grasp the cultivation of students' mathematical modeling literacy from the whole;In view of the fact that knowledge presentation in textbooks has fewer support points for cultivating mathematical modeling literacy,the article proposes that teachers should take advantage of more support points in chapters,make full use of knowledge presentation,increase knowledge block diagrams,and build students' knowledge frameworks.In addition,the teacher strengthens the connection with knowledge presentation in the practice of example questions,and conducts a reverse review to make students intuitively perceive the parameters and application scope of the mathematical model.There are many support points forthe exercises in the textbook,covering a wide range.Teachers can flexibly use the exercises in the textbook to conduct multi-level training for students of different levels,and strengthen the problem discovery and answer suitability verification in the modeling process during the practice of test questions.In student activities,teachers often guide students to communicate and reflect,and cultivate students' two-way construction in the bridge between mathematical problems and life problems.