Research On The Relationship Between High School Mathematics League And College Entrance Examination Math Test Questions

College entrance examination mathematics and competition mathematics has always been a hot topic with long history.While 8 reforms have been operated in College entrance examination mathematics,nationwide mathematic league match in high school has only come through one non-essential reform all long,but in fact they both are fundamentally high school mathematics with great similarity.For example,the first try test paper of league match examines the knowledge of college entrance examination mathematics.Thus,it has a significant meaning of high school math teaching,college entrance examination and league match proposition to study the relation of high school math league match papers and college entrance examination math papers.This paper puts the focus of study on the 2010-2017 test papers of national high school mathematics league match and college entrance examination mathematics of Jiangsu.The relation and difference of syllabus require,and examination objects is discussed at first,then the test data is analyzed from the aspects of question scene,knowledge breadth,calculating and reasoning level,question contents and thought way.At last,the relation of college entrance examination and high school mathematics league match is discussed,and some advice is provided about teaching proposition.Conclusions acquired from the research are as below:(1)Tests of college entrance examination and high school league match are mostly no scene based.For the college entrance examination test,the knowledge width is larger,most of which have less than 3 topics in one question,but the knowledge contents show no signal difference.For the high school league match test,the calculating and reasoning levels are obviously higher.The exploring level of the latest is a little higher,but still remains a common grade without opening test.(2)College entrance examination is more biased on the execution procedure,while the league match test puts the focus on unconventional problems,and both are lack of assessing of understanding.The consistencies are both mediocre,showing differences in many dimensions.Transforming and conversion thoughts is of great importance in both tests,but the league match test has more than a half questions showing these thoughts,and contains more thinking methods overall.(3)Both two tests shou great comprehensiveness on functions and series,and value examining basic knowledge.On the Plane Analytic Geometry,calculating and reasoning ability is highly focused on.On the inequality and triangle,examining points are basic and used to be auxiliary knowledge points of comprehensive tests.(4)Tests of college entrance examination and high school league match lay different importance on functions,different knowledge points on inequality,different crossing knowledge points on plane analytic geometry,series and tringle,different test level and direction on function,and different tests thinking method on plane analytic geometry.(5)Many tests of college entrance examination contain thoughts of competition tests.Although the tests from competitions are avoided to appear in order to keep fair,but in fact many test of college entrance examination still share a competition background and thus making the two inseparably interconnected.(6)Both college entrance examination papers and high school league match papers should attach more importance to examining students’ ability of application and investigation,as well as the understanding of mathematics culture.Reforms in league match tests are sought in terms of expanding the knowledge breadth,while the competition thoughtway should appropriately brought into high school mathematics teaching.