A Comparative Study Of College Entrance Examination Papers From The Perspective Of Mathematics Key Ability

In 2017,the Mathematics Curriculum Standards for Ordinary Senior High Schools(referred to as the Standards)were issued,proposing to cultivate students with corresponding key abilities.In the middle school mathematics teaching,the model that can evaluate the mathematics key ability is needed to help evaluate the level of the students’ mathematics key ability,and help the middle school mathematics teachers to formulate the corresponding teaching strategy,so as to achieve the goal of education and teaching training.In "standard" puts forward six core mathematics literacy: mathematical abstraction and logical reasoning,intuitive imagination,mathematical modeling and mathematical operation,data analysis,and from situation and problems,the knowledge and skills,thinking and expression,communication and reflection on the four dimensions of mathematics six core literacy level,has formed a preliminary evaluation indicators,but the actual teaching evaluation operation more difficult.Inspired by the "Standard" and related scholars’ research on the evaluation of mathematics core literacy,this study constructs an evaluation model from the perspective of mathematics key ability,and carries out a comparative study on the evaluation of mathematics examination papers in the national college entrance examination.From the perspective of "observing the world with mathematical eyes,thinking about the world with mathematical thinking,and expressing the world with mathematical language"("Three hui " for short),starting from the three dimensions of mathematical observation,mathematical thinking,and mathematical expression,the key mathematical abilities are divided into: Mathematical abstraction ability,intuitive imagination and transformation ability,mathematical conjecture and demonstration ability,mathematical operation ability,data analysis and prediction ability,mathematical modeling ability.Based on the "standard" in the core of mathematics accomplishment mainly combined with Zhu Liming mathematical key ability theory foundation,the manifestation will key mathematical ability is divided into understand abstract concepts,scene in the abstract,the formation of abstract thinking,intuitive imagination,for transforming the manifestation and so on 15,strengthen key ability evaluation model of maneuverability.The concrete performance is divided into three levels: knowledge understanding,knowledge transfer and knowledge innovation,and the implicit and explicit mathematical relations.The evaluation index system of mathematics key ability is preliminarily constructed,and the evaluation model is formed by means of group discussion.Based on the evaluation model,this paper conducted a horizontal and vertical comparison and analysis of the national College entrance examination papers in Hainan province and Shandong Province from2018 to 2021,in order to find the rules of the mathematics key ability examination of the national college entrance examination papers,and finally concluded that:(1)The college entrance examination paper math key ability proportion: mathematical operation ability > mathematical conjecture and demonstration ability > intuitive imagination and return ability > mathematical abstraction ability > data analysis and prediction ability >mathematical modeling ability.Mathematics key ability specific performance mathematics demonstration and application algorithm proportion is the largest.Mathematics key ability level examination is given priority to with level 1 and level 2,level 3 examination is few.(2)The trend of mathematics key ability examination in Shandong paper and Hainan paper has changed steadily.The variation trend of key abilities in Shandong paper and Hainan paper is relatively stable.The proportion of the scores of various mathematics key ability test in Shandong paper is more stable,while that in Hainan paper fluctuates greatly.(3)There are differences in the structure of the mathematics key competence test between Shandong paper and Hainan paper.Shandong paper focuses on the examination of mathematical conjecture and demonstration ability;More and more attention is paid to the examination of students’ mathematical conjecture and demonstration ability.Based on the above research conclusions and the background of the new college entrance examination,the following suggestions are proposed:(1)Suggestions on the propositions of the college entrance examination: strengthen the study of the mathematical propositions of the college entrance examination;The subject of life should meet the needs of students’ development and The Times.(2)Suggestions for teachers’ teaching: pay attention to improving students’ mathematical operation ability and mathematical conjecture and demonstration ability;To understand the level of students’ mathematics key ability and formulate teaching strategies;Deepen the research to the new teaching material,grasp the "three new" reform under the teaching heavy,difficult point.(3)Suggestions for students: jump out of the "tactics of the sea of questions",and summarize and reflect more;According to their own mathematics key ability level,take appropriate learning strategies.