Research On The College Entrance Math Self-proposition Under The Background Of New College Entrance Examination ——From The Perspective Of Key Competencies And Mathematical Culture

In recent years,the new college entrance examination reform has been in full swing.In order to implement the fundamental task of Building Morality and cultivating people,this reform puts forward clear requirements for the college entrance examination proposition in terms of mathematics key competencies and mathematics culture: when making the college entrance examination proposition,pay attention to the examination of students' key mathematical competencies,and pay attention to integrating into mathematics culture.Therefore,it is of great practical significance to study the examination of mathematics key competencies and the penetration of mathematics culture in mathematics questions of college entrance examination.Based on the above background,this study adopts the methods of literature analysis,content analysis and comparative analysis.Taking the college entrance examination mathematics papers in Beijing,Tianjin,Zhejiang and Shanghai from 2019 to 2021 as the research object,and referring to the existing research results,this paper establishes the analysis framework of mathematical key competencies and mathematical culture.According to the analysis framework,this paper studies the college entrance examination mathematics questions from the perspectives of mathematical key competencies and mathematical culture,and obtains the following conclusions:(1)As for the examination of the key mathematical competencies,the four places rarely examine the mathematical modeling and data analysis literacy in the college entrance examination mathematics papers,but focus on the other four key mathematical competencies,preferring to examine the level one and level two of key mathematical competencies,while ignoring the level three of key mathematical competencies,and the examination of key mathematical competencies in the college entrance examination mathematics papers in the four places has been relatively stable in the past three years.(2)As for the examination of key mathematical competencies under the theme of knowledge,the subject of preparatory knowledge tends to examine the literacy of mathematical abstraction,logical reasoning and mathematical operation;The topic of function focuses on mathematical abstraction,logical reasoning and mathematical operation literacy;The subjects of geometry and algebra focus on logical reasoning,mathematical operation and intuitive imagination;Probability and statistics focuses on mathematical abstraction,logical reasoning and data analysis literacy.(3)In terms of the distribution of question types and knowledge topics,the mathematical culture questions in the mathematics papers of the college entrance examination in the four places are unevenly distributed.Specifically,the distribution of mathematics papers in the college entrance examination in the four places is uneven in the three types of multiple-choice questions,blank filling questions and solving questions.There are also deviations in the distribution of four knowledge topics: preparatory knowledge topics,functions,geometry and algebra,probability and statistics,and they tend to examine probability and statistics topics.(4)The four types of mathematics and culture in the college entrance examination are not related to the single type of mathematics and culture.(5)As for the examination of the way of integrating mathematical culture into the test questions,Beijing volume is mainly non separable,Tianjin volume and Shanghai volume are mainly separable,and Zhejiang volume is mainly separable and additional.(6)As for the examination of key mathematical competencies in mathematical culture test questions,the mathematical culture test questions in Beijing,Tianjin and Zhejiang are rarely examined or even did not examine mathematical modeling literacy,and the visual imagination has not been examined in Tianjin in recent three years,while the examination of six mathematical core literacy in Shanghai is comprehensive and balanced;In addition,the mathematical culture test questions of the mathematics paper of the college entrance examination in the four places mainly examine the level one and level two of key mathematical competencies,and rarely examine the level three of key mathematical competencies.Based on the above conclusions,the following two suggestions are put forward.Suggestions on the system of mathematics test questions in the college entrance examination:(1)reasonably optimize the examination of the level of mathematics key competencies;(2)Broaden the range of mathematical culture test questions;(3)Adopt appropriate mathematical culture to integrate into the test questions,and pursue the integration of nature;(4)Pay close attention to the mathematical essence of mathematical culture and examine the mathematics key competencies with high quality.Suggestions on Teaching:(1)Make use of teaching to make up for the limitations of college entrance examination and improve students' mathematics key competencies;(2)Create situational problems to promote the formation and development of students' mathematics key competencies;(3)Make full use of the advantages of different local college entrance examination mathematics papers to optimize the allocation of exercises.