Research On The Evaluation Of College Entrance Examination Questions Based On Mathematical Core Literacy

In order to improve the national quality and implement the fundamental task of establishing morality and cultivating people,"core discipline literacy" has become the core content of contemporary basic education research.In the "General High School Mathematics Curriculum Standards(2017 Edition)"(hereinafter referred to as the "Standards"),it is recommended that college entrance examination questions should focus on the examination of students’ core mathematical literacy,and how to formulate college entrance examination papers has become a concern of the proponents.It is of great significance to conduct research on the evaluation of college entrance examination papers guided by the core literacy of the discipline.This research focuses on the 2019 National College Entrance Examination Mathematics I(Science),2020 National College Entrance Examination Mathematics I(Science),2021 New College Entrance Examination Mathematics I,and 2022 New College Entrance Examination Mathematics I,using literature research,comparative analysis,and statistical analysis methods to conduct research on four sets of test papers.Firstly,analyze the type,quantity,and distribution of test questions in the college entrance examination to understand the basic structure of math test questions in recent years;Secondly,referring to the division of six core competencies and three levels in the "Standards",and drawing on Professor Yu Ping’s core competency assessment framework,the four sets of test papers were analyzed to obtain relevant data on the examination of mathematical core competencies;Finally,use statistical analysis to compare and analyze the core mathematical literacy of the four sets of test papers from multiple perspectives.The main research findings are as follows:(1)Test paper structure: The new curriculum standard paper is "single choice questions(12 questions)+blank filling questions(4 questions)+required answer questions(5 questions)+optional answer questions(1 out of 2)",and the new college entrance exam paper is "single choice questions(8 questions)+multiple choice questions(4 questions)+blank filling questions(4 questions)+required answer questions(6 questions).";In the past four years,the distribution of test points in the four main content lines of the college entrance examination math test papers has been relatively consistent.(2)Examination of the core mathematical literacy and level 3 of the test paper:The four sets of test papers examine the six core mathematical literacy and level 3,and all focus on the examination of mathematical operations and logical reasoning.There are fewer examinations of data analysis and mathematical modeling,with the average value being as follows: mathematical operations(33%)>logical reasoning(31%)>mathematical abstraction(15%)>intuitive imagination(13%)>data analysis(5%)>mathematical modeling(3%);It tends to examine students’ knowledge understanding(Level 1)and knowledge transfer(Level 2),with an average of Level 1(40%)>Level 2(38%)>Level 3(22%).(3)The examination of mathematical core literacy and level 3 in the new college entrance examination and the new curriculum standard: There is no significant difference in the weight of the examination of mathematical core literacy between the two.The examination of knowledge transfer(level 2)in the new college entrance examination and the new curriculum standard is relatively consistent,but the examination of knowledge understanding(level 1)is reduced in the new college entrance examination,and the examination of knowledge innovation(level 3)is increased.There are differences in the examination of different levels of the same core literacy between the two.(4)Examination of mathematical core literacy on the main line of content:Different main lines of content have different emphasis on the examination of mathematical core literacy,but the examination weight for mathematical operations is relatively large.The proportion of each main line of content in the examination of level 3 varies in different years.Based on the above research conclusions,relevant suggestions are given from the perspective of proposition and teacher teaching.