Research On The Characteristics And Problem-Solving Strategies Of Innovative Mathematics Questions In The College Entrance Examination In The Past Five Years

Since 2014,the Ministry of Education has issued a series of documents to emphasize the importance of the cultivation of innovative talents.In 2019,the Chinese college entrance examination evaluation system once again mentioned innovation,and the current college entrance examination for the national selection of talents still uses paper and pencil tests as the main measure.How to implement the innovative examination requirements of mathematics test questions has become a topic that researchers pay more attention to.At present,there is no unified view on the definition of mathematical innovation problems in the academic world,and what are the basic characteristics of the examination of mathematical innovation problems,the perspectives from which breakthroughs should be made in the answer of mathematical innovation problems,and how the teaching of mathematical innovation problems should be carried out,etc.issues of focus.In view of the different views on the mathematical innovation problems in the current academic circles,this study firstly summarizes the common characteristics of the current views on mathematical innovation problems by sorting out the existing literature,and combines the relevant expressions of the innovative examination requirements in the college entrance examination evaluation system.The concept definition of mathematical innovation questions is given;secondly,starting from the basic elements of the examination questions proposed by Lei Xinyong,and relying on the relevant requirements of the "four layers" in the Chinese college entrance examination evaluation system,the analysis framework of this research on mathematical innovation questions is constructed;starting from the answering process of the selected research objects,gives the problem-solving strategies for the mathematics innovation problems of the college entrance examination in the past five years;finally,based on the analysis of the above-mentioned examination objectives and problem-solving strategies,the preparation of mathematics innovation questions,teachers’ teaching methods,etc.are given.and student learning advice.Through the statistical analysis of the mathematics innovation questions of the college entrance examination in the past five years,the following conclusions are drawn:First,in the past five years,the proportion of innovative questions and the total number of questions in the examination paper in the college entrance examination has reached 11.52%,and the proportion of the number of innovative questions and the total number of questions in the examination paper in each set is the highest in the national three-volume science in 2019,reaching 34.78%;secondly,Mathematical innovation questions are still mainly presented in the form of "plain text",and the presentation form of "combination of table and text" is only covered in the 2017 National Volume.Second,in the past five years,the mathematics innovation questions of the college entrance examination have been dominated by the function part of the examination,and the preparatory knowledge part of the examination has accounted for a small proportion;in the core literacy dimension,the logical reasoning examination has the highest proportion,the mathematical modeling proportion is relatively stable,and the data analysis proportion is relatively The least;focus on the examination of the key abilities of reading comprehension and critical thinking;the proportion of test questions is the curriculum learning situation,the life practice situation,and the exploration and innovation situation in order from high to low.Third,for different types of mathematical innovation problems,the problem solving strategies are different,such as clever use of construction methods,clarifying the geometric relationship between line segments,combining the basic properties of functions,extracting key information of materials,integrating alternative conditions in the question stem,etc.Fourth,in the face of the current inspection situation of innovative questions,on the one hand,we should appropriately increase the proportion of innovative questions,actively explore the diversification of presentation methods,and balance innovation questions in various dimensions such as essential knowledge,core literacy,and key capabilities.On the other hand,teachers should pay attention to integrating the idea of situation,reading and problem classification into mathematics teaching,and students should strengthen the ability of mutual transformation between mathematical languages.