Research On College Entrance Examination Questions Based On Mathematical Modeling Literacy

The education reform of "new curriculum standard,new teaching material and new college entrance examination"(amely "three new")is in full swing,and the implementation of core literacy is the key to the education reform.Due to its own particularity,the core literacy of mathematical modeling is difficult to design,implement and evaluate,which puzzles the current high school mathematics teaching reform.How to test the core literacy of mathematical modeling in the new college entrance examination is an important problem in the new curriculum reform.This study selects 66 mathematical modeling questions from the national college entrance examination thesis in recent five years as the research object,combined with the interviews of four front-line teachers and three teaching researchers.This study uses literature review method,case study method and other research methods,using a combination of quantitative analysis and qualitative analysis.Firstly,based on the comprehensive difficulty model,the thesis studies the evaluation of the difficulty of the test questions,and develops the hierarchical model of the evaluation of the test questions to detect the difficulty,breadth and depth of the test questions in an all-round way.Set up eight elements such as background,reasoning,operation,modeling tools,modeling level,question type,comprehensive knowledge level and reading amount to evaluate the mathematical modeling test.With the help of SEC consistency analysis mode,this thesis studies the consistency between the mathematical modeling questions in the college entrance examination and the new curriculum standard.The results show that:(1)The system of mathematical modeling test in college entrance examination is balanced in difficulty,depth and breadth;(2)The background of mathematical modeling test is more diversified,the reading amount of the test is increased,and the examination of reasoning ability and operation ability is reduced;(3)In recent five years,the consistency coefficient of mathematical modeling test questions in the national college entrance examination thesis and the new curriculum standard basically shows an increasing trend year by year,and reaches the highest in the national college entrance examination thesis in 2020.(4)In the new college entrance examination thesis in 2020,all the subjects of mathematical modeling are involved,especially the three cognitive levels of understanding,understanding and mastering are tested,and the knowledge of probability and statistics is the most.Secondly,according to the above research conclusions,this thesis interviews front-line teachers and excellent teaching and research staff,and then summarizes and designs the mathematical modeling test as a case study.Finally,it gives some enlightenment to the front-line mathematics teachers.