| The college entrance examination,known as the general high school entrance examination,is one of the large examinations in China.On the one hand,as a junior high school academic level examination,on the other hand,it is also the most authoritative selection examination for students from junior high school to senior high school,so it has been the attention of all walks of life.From a certain point of view,some schools only focus on students’ grades and graduation rate,but ignore the cultivation of students’ mathematical literacy and ability,which is contrary to the quality education advocated by the state.The main purpose of mathematics education is to hope that students can learn knowledge while applying knowledge to life,solve some practical problems with the help of simple mathematical models,cultivate students ’core ability and innovative spirit,and promote students’ all-round development.In the revised mathematics curriculum standards for compulsory education stage in 2022,put forward that the core quality of mathematics in junior high school is mainly manifested in nine aspects,and it is pointed out that we should express the real world in the language of mathematics.This paper takes the math papers of Henan,Hebei and Beijing from 2019 to 2022.First,according to the junior high school mathematics curriculum standards and the knowledge content involved in the textbook,the three major knowledge areas of junior high school mathematics are determined: number and algebra,graph and geometry,probability and statistics,and the corresponding mathematical model types: equation(group),inequality,function,triangle,quadrilateral,circle,probability and statistics.Then,according to the knowledge level division of mathematical modeling literacy proposed by Professor Yu Ping,three core literacy levels of mathematical modeling in junior middle school are determined,namely: knowledge understanding,knowledge transfer and knowledge innovation.Finally,establish the coding principles and methods of the test questions,and use these principles and methods to code the test questions in the three provinces.Through the statistical analysis of the questions,it is found that three regions have obvious differences in the examination of various modeling questions:(1)In the proportion of the modeling questions in the three provinces,Henan and Hebei provinces have involved in various types of mathematical models,while Beijing examines the proportion of these mathematical models is less than the other two provinces;(2)in the examination of knowledge levels of all levels,Henan and Hebei provinces are higher than Beijing,while Hebei Province has the most examination of knowledge level one.Through the comparative analysis of similarities and differences: although the regions in the examination of mathematical modeling examination is different,but examination as an important selection test,based on the requirements of the new standard,will pay more attention to "students use mathematical language to express the world,can apply mathematical knowledge to real life",so teachers should attach importance to the cultivation of students’ mathematical modeling literacy,around should also improve to the examination of mathematical modeling examination requirements.Through the questionnaire survey of junior 3 students in two schools in Henan Province to different degrees,it is found that students generally lack of understanding of mathematical modeling literacy,do not know enough about the mathematical modeling problems involved in the high school entrance examination,especially the grasp of the function model is not ideal.Therefore,in daily teaching,teachers should pay attention to guide students to find the mathematical knowledge in daily life with the perspective of mathematics,and select and design suitable mathematical modeling problems to strengthen students ’practice of various mathematical models,especially function models,so as to improve students’ mathematical modeling literacy. |
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