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Analysis And Research On Mathematical Operation Literacy In Analytical Geometry Exam Questions Of College Entrance Examination

Posted on:2022-01-26Degree:MasterType:Thesis
Country:ChinaCandidate:W Y XuFull Text:PDF
GTID:2517306722487064Subject:Subject teaching
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Since the promulgation of the Common High School Mathematics Curriculum Standards(2017 Edition)(hereinafter referred to as the Curriculum Standards),"quality conception" has become a new guide after "knowledge conception" and "ability conception".For this reason,the research of higher examination questions based on mathematical core literacy has been carried out one after another,and mathematical operation literacy is one of them.Mathematical operation refers to the process of solving mathematical problems according to the operation rules on the basis of clear operation objects.After reading relevant literatures,it is found that there are more literatures that carry out overall research on the six types of core literacy,but few that carry out special research on mathematical operation literacy.As one of the main lines of high school mathematics--geometry and algebra,plane analytic geometry(hereinafter referred to as "flat geometry")is an important content.Its essence is to use algebraic methods to study geometry problems.The related questions show the characteristics of many variables and complex operation,and it is an important carrier to investigate the mathematical operation accomplishment.Therefore,the examination of mathematical operation accomplishment in the college entrance examination is worth exploring.This paper selected the 2011-2020 national ? volumes(liberal arts),national ?volume(science)and jiangsu flat a few questions in these three kinds of paper as the research object,and from the paper examines the types of literacy,problem put forward by the situation,the types of knowledge,mathematics literacy levels and scored five aspects,such as the object of study on the qualitative analysis and quantitative analysis,and compare the three kinds of papers in the above five aspects of the similarities and differences.Through the analysis,the following conclusions are drawn:(1)In terms of the six types of core literacy,the three types of test papers are basically the same in terms of the types of core literacy,and the frequency of test of mathematical literacy is always the highest,and Jiangsu paper is higher than the national liberal arts paper and national science paper.(2)In terms of mathematical operation literacy,different conclusions were drawn from four aspects: problem situation,type of knowledge point,level division and level score.?From the point of view of question situation,the three kinds of papers are mainly mathematical situation in the situation of question proposed,and few other situations are involved.?From the perspective of the type of knowledge points,in the objective questions,the high-frequency test points of the three kinds of papers all have the nature of straight line and hyperbola,but there are differences in the way of examination.In the subjective questions,the same high-frequency test points of the three kinds of subjective questions are the straight line and the position relationship between the straight line and the conic curve,but there are differences in the content of the examination.?From the perspective of level division,on the whole,the number of level 1 in the liberal arts paper is slightly greater than level 2,the number of level 1 and level 2 in the science paper and Jiangsu paper is similar,while the number of level 1 and level 2 in the three kinds of papers is far greater than level 3.In terms of the number of questions at different levels in the subjective and objective questions,the number ratio between level1 and level 2 of the three kinds of papers in the objective questions is basically 2:1,while in the subjective questions,the number ratio is 1:1.In terms of level fluctuation,from2011 to 2020,the number of Level 1 of Liberal Arts paper fluctuated greatly,the number of Level 2 and Level 3 was relatively stable,while the number of Science paper and Jiangsu paper were relatively stable at all three levels.?From the perspective of the level score,the comprehensive score of Jiangsu paper is the highest in the level of calculation.According to the average value,the three kinds of papers are relatively consistent.The score difference between Level 1 and Level 2 is not big,which is about 1-2 points.The score of Level 3 is extremely low,and all of them are lower than 1 point.From the standard deviation point of view,the three types of papers show different results.Among them science volume is the most stable,and for liberal arts volume,level one wave is larger,other level is more stable.For Jiangsu volume,level 2 fluctuates greatly while other levels are relatively stable.According to the proportion of scores in the past years,four and five years of the three kinds of test papers accounted for more than 50% of the total scores in the past ten years.From the level type and level look,three levels all examine to the year is not many,jiangsu volume is greater than science volume and liberal arts volume.Based on the above analysis and research,the following suggestions are put forward:(1)To improve the diversity of problem situations;(2)Set up open inquiry questions;(3)Proposition from different perspectives to promote the organic integration of mathematical operations and other qualities.
Keywords/Search Tags:analytic geometry, mathematical operation literacy, college entrance examination questions
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