Entering the increasingly complex era of artificial intelligence,interdisciplinary thinking and methods are needed to solve practical problems,and the previously distinct disciplinary boundaries are gradually weakening,so interdisciplinary research has become a research hotspot in the international scope."Mathematics Curriculum Standard for Ordinary Senior High Schools(2017 Edition)" puts forward that it is necessary to "emphasize the connection between mathematics and life and other disciplines and improve students’ ability to solve practical problems by applying mathematics".The 2022 edition of compulsory education curriculum plan clearly puts forward that "each course should use no less than 10% of the class hours to design interdisciplinary thematic learning".In order to ensure the consistency among objectives,teaching and evaluation,in 2019,the Examination Center of the Ministry of Education promulgated the "China College Entrance Examination Evaluation System",which clearly put forward the requirements of "comprehensive" examination.Therefore,the college entrance examination mathematics gradually attaches importance to the examination of interdisciplinary questions,so it is of great significance to study the interdisciplinary questions of college entrance examination mathematics.Based on the in-depth analysis of the comprehensive examination requirements of the college entrance examination evaluation system,and referring to the previous analysis framework of certain types of examination questions and interdisciplinary examination questions,this paper adopts the expert consultation method to construct a mathematical interdisciplinary examination question analysis framework with three first-level dimensions and fourteen second-level dimensions.The specific framework is as follows: examination objectives: knowledge content and core literacy;Organization mode: question type,subject source,situation type and situation presentation mode;Test difficulty: situational integration level,whether it includes parameters,operation level,reasoning ability,knowledge content,thinking direction,cognitive level and reading volume.Then,24 sets of interdisciplinary mathematics questions in the national,new high and Beijing papers from 2018 to 2022 are selected as research samples.After analysis,the proposition characteristics and examination trends of interdisciplinary mathematics questions in the national,new high and Beijing papers are obtained,as well as the examination differences of interdisciplinary mathematics questions in the three types of papers,in order to provide suggestions for the proposition and teaching of interdisciplinary mathematics questions in the college entrance examination.The results are as follows:(1)Examination of interdisciplinary mathematics questions in the national,new and Beijing papers in recent five yearsIn terms of examination objectives,the content of examination is mainly probability and statistics knowledge,and the proportion of examination questions to examine the core literacy of mathematical operation,logical reasoning and mathematical modeling is high,while the examination of intuitive imagination is the least.In terms of organization,the distribution of interdisciplinary mathematics questions is stable,mainly in multiple-choice questions and solution questions;The disciplines are widely distributed,the national volume and Beijing volume mainly involve humanities and social sciences,and the sources of disciplines in the new high examination papers are relatively balanced;They all focus on examining the real situation,and the situation presentation method is mainly pure text description.In terms of test difficulty,interdisciplinary mathematics test questions are more difficult in reading volume,cognitive level,operation level and situation integration level,but less difficult in reasoning ability and thinking direction.In recent five years,the difficulty of interdisciplinary mathematics test questions fluctuates greatly.(2)The Differences of Mathematics Interdisciplinary Test Questions in National Test Paper,New High Test Paper and Beijing Test PaperIn terms of examination objectives,the knowledge content of the national volume and Beijing volume is more extensive,and the knowledge content of the new high examination paper is more concentrated;There is a certain degree of consistency in the proportion of the six core literacy in the three types of papers.In the aspect of organization,there is no obvious difference in the distribution of questions among the three types of papers.The interdisciplinary categories of the national and Beijing papers are biased,and the subjects involved in the new high examination papers are balanced and have no obvious bias;The comprehensive degree of the situation of interdisciplinary mathematics questions in the new high examination paper is higher,and the situation presentation methods are richer.As for the difficulty of test questions,it is the highest for the level of situational integration,whether it includes parameters and knowledge content,and there is no obvious difference in reasoning ability and thinking direction among the three types of test papers.For the operational level,the national test paper has the highest requirement for students’ operation,for the cognitive level,the Beijing test paper is the most difficult,and for the reading volume,the reading volume of interdisciplinary test questions in the three types of test papers is large.In terms of the total difficulty coefficient,the interdisciplinary questions of mathematics in the new high examination paper are the most difficult.Based on the above analysis results,this paper puts forward the proposition and teaching suggestions of interdisciplinary mathematics test questions in college entrance examination.Proposition suggestion: actively broaden the subject source of interdisciplinary test questions;Comprehensively examine students’ core literacy;Carefully select materials and enrich the way of situation presentation;Reasonably grasp the level of situational integration of interdisciplinary examination questions.Teaching suggestion: consolidate the basic knowledge of the subject and avoid fragmentation;Pay attention to the creation of realistic situations,and pay attention to the authenticity,relevance and timeliness of situations;Improve students’ mathematics reading and understanding ability;Attach importance to the cultivation of mathematical modeling literacy. |