An Analysis Of The Mathematics "Number And Algebra" Questions In The Middle School Entrance Examination Of Anhui Province From 2018 To 2022

High school entrance examination is the final examination after students complete the learning task of compulsory education stage,which has the dual functions of measuring the quality of compulsory education and selecting talents for the upper level schools.Therefore,high school entrance examination has always been the focus of attention of students,schools,parents and society."Number and algebra" is one of the foundations of the mathematical knowledge system,and is the cornerstone of students’ cognition of quantitative relations,exploration of mathematical laws and establishment of mathematical models.Junior high school mathematics "number and algebra" contains three aspects,respectively "number and formula","equation and inequality","function".This paper mainly focuses on the following aspects:To sort out the distribution of the questions and test points of the knowledge section of mathematics "number and algebra" in the middle School entrance examination of Anhui Province from 2018 to 2022,and help front-line teachers and students to clarify the characteristics of the questions of this knowledge section in the middle school entrance examination in recent years.Secondly,through the comprehensive difficulty model,the difficulty of the three sections of the "number and algebra" test in the recent five years is analyzed from seven factors,namely "number and formula","equation and inequality" and "function".Finally,the comprehensive difficulty in the knowledge field of "number and algebra" in the recent five years is obtained.Among them,the comprehensive difficulty of "function" is the highest,which puts forward higher comprehensive ability requirements for students.Thirdly,based on the perspective of core literacy,this paper studies the math "number and algebra" questions in the 2018-2022 middle school entrance examination.Firstly,according to the core literacy proposed in the Curriculum Standards for Compulsory Education(2011 Edition),this paper divides the levels of core literacy and levels involved in the knowledge section of "number and algebra".It is concluded that the content of "number and algebra" has the most prominent requirements for the core literacy of arithmetic ability,followed by abstract ability,model concept and logical reasoning ability.Fourthly,according to the latest core literacy proposed in the Compulsory Education Curriculum Standards(2022 Edition),the connection is established between the core literacy and the commonly used mathematical thought and method,and the research is carried out on the mathematics "number and algebra" questions of the Anhui high School Entrance examination in the past five years,so as to clarify the mathematical thought and method involved in the knowledge section of "number and algebra" and the core literacy penetrated.Taking "function" as an example,the most frequently used mathematical thought method in the application of "function" in Anhui high School Entrance Examination in recent five years is the combination of function,equation and number form.From the perspective of the examination paper,the "function" part focuses more on the four core qualities of "mathematical abstraction,geometric intuition,mathematical modeling and application consciousness".According to the research results,this paper puts forward the following suggestions.In terms of proposition,firstly,the difficulty level of background factors should be properly raised to reflect the application value of mathematics.Second,establish the basis and standard for dividing the level of core literacy,and balance the examination of each core literacy.Teaching,one is to understand the high school examination,grasp the direction of proposition;Second,pay attention to high frequency test points,plate exercises,etc.