A Comparative Analysis Of College Entrance Examination Questions Of Mathematics In 2017

The college entrance examination questions of mathematics are the direct reflection of the college entrance examination mathematics reform,and it is also the ultimate authoritative measurement tool for colleges to select talents and evaluate mathematics learning for high school students.Nine mathematics tests are selected from the college entrance examination in 2017 as the research objects,and they are conducted comparative analysis from four aspects: the structure of the tests,the content distribution,the mathematics key competencies,and the level of questions and thinking.Thus the similarities and differences among the nine papers would be seen and rethought.And the characteristics of each paper and shortcomings would be found.More importantly,suggestions for optimizing the structure of papers for mathematic entrance examination and new perspectives for the study of college entrance examination tests would be provided.Through the comparative analysis of nine tests in 2017,the main conclusions are as follows:(1)The structure of question types: objective questions(multiple-choice questions and blank-filling questions)which are followed by subjective questions(compulsory-answer questions and optional questions).However,Differences exist among the total scores and amounts of questions,the order of the specific questions,the scores and the amount of questions in different papers.(2)Content distribution: 9 papers attached the great importance to the content of algebraic field examination,the second is analytical geometry,and then are the part of trigonometric,solid geometry and probabilistic statistics,and plane geometry is the least.However papers in Zhejiang,Shanghai,and Jiangsu examined plane geometry by one question.The proportions of specific scores of different tests in the six major areas are different.(3)Mathematics key competencies: The overall trends of the examination of the six key competencies in 9 papers appear to be similar.In terms of testing the key competencies,Most of papers put emphasis on mathematical operation.Logical reasoning ranks No.2,and it is followed by mathematical modeling and mathematical abstraction.For the levels of key competencies,they roughly show the proportion of scores on level one is slightly higher than level two,and level three is the least.What we should pay attention to is none of 9 papers simultaneously examined all six mathematics key competencies from the statistical results.Among them,4 papers(National Vol.III,Beijing,Shanghai,and Jiangsu)did not examine mathematical abstraction,the other 4papers(National Vol.I and II,Shandong,and Zhejiang)did not examine mathematical modeling and Tianjin volume did not set up questions on these two competencies.In addition,there exist differences of mathematics key competencies and levels of examination in different types of questions and different content areas.(4)The Thinking Level of Questions: The overall trends of the 9 papers are similar.They focus on the levels of “multi-structural” and “relational”,while the number of questions on the level of “extend abstract” is the least.The questions of each examination paper or different papers in different areas have different thinking levels.It could be observed that the field of algebra,solid geometry and analytical geometry emphasize the examination of high-level thinking,while trigonometric probabilistic statistics and plane geometry emphasize the examination of “multi-structural”.Based on the research,two aspects of suggestions are put forward.First,for setting college entrance examination questions of mathematics:(1)To set the questions type structure and examination time reasonably;(2)To adjust the examination of the mathematics key competencies appropriately;(3)To take the three levels of mathematics key competencies into account;(4)To add more questions to examine students’ high-level thinking;(5)To pay more attention to the comprehensiveness of thinking level.Second,for the study of the college entrance examination questions:(1)To try to do more multi-volume horizontal comparison research;(2)To carry out the study of key competencies;(3)To expand the research of thinking measurement.