| It is pointed out in the mathematics curriculum standards for ordinary senior high school(2017 edition) that mathematical modeling literacy is the accomplishment of abstracting the mathematics of real problems,expressing problems with mathematical language and solving problems with mathematical methods.Middle school students' exposure to mathematical modeling helps them develop the ability to analyze practical problems,solve practical problems,and apply the mathematical knowledge they have learned to real life.The mathematical modeling teaching and research of middle school students is of certain significance to the training of comprehensive talents in China."Ordinary high school mathematics curriculum standards(2017 edition),the high school mathematical modeling literacy is divided into three levels,three levels between layers of progressive,but it is more a textual description,secondary line teachers use the ordinary high school mathematics curriculum standards(2017 edition)" in on three level mathematical modeling to evaluate students' mathematical modeling literacy level is bad.At the same time,there is not a set of scientific and perfect mathematical modeling literacy evaluation system in the research of basic education in China.How can front-line teachers in middle schools better evaluate students' mathematical modeling literacy? Therefore,it is very necessary to establish a scientific quantified evaluation index system for the mathematical modeling literacy of high school students,which is helpful for the teaching and research of mathematical modeling literacy of front-line middle school teachers,and makes some theoretical contributions to the research of mathematical modeling literacy in China.The purpose of this study is to establish a scientific mathematical modeling literacy evaluation index system for high school students.In order to build a scientific mathematical modeling literacy evaluation index evaluation system for senior high school students,this study takes senior high school students as the research object,and college teachers,teaching and research staff,and front-line teachers who are familiar with mathematical modeling as the survey object.Up at the beginning of high school students with the method of literature analysis mathematical modeling quality evaluation index system of the primary indicators and secondary indicators,and form the high school mathematical modeling literacy evaluation index system of indicators were questionnaire(first round),and expert consultation with experts,ask an expert on each index for judging esteemed,and give advice,finally used statistical methods to analyze the expert opinion,and combined with expert advice on early of evaluation index is modified,the modified after high school mathematical modeling quality evaluation index system of evaluation indicators,And form the high school mathematical modeling literacy evaluation index system of indicators were questionnaire(second round),and once again,ask an expert to the modified evaluation indexes were judgments,and gives the opinion,and then use statistical methods to analyze expert opinion,the last comprehensive expertise,get high school mathematical modeling quality evaluation index system of the primary indicators and secondary indicators.According to the modified evaluation index system of senior high school students' mathematical modeling literacy,the first level index and the second level index form the "judgment table of relative importance of the evaluation index of senior high school students' mathematical modeling literacy",and experts are invited to judge the importance degree of each index.Then using the analytic hierarchy process,finally get the weight coefficient of each evaluation index.Finally,the evaluation index system of high school students' mathematical modeling literacy is formed.To verify that the construction of index system of scientific,select the "ordinary high school mathematics curriculum standards(2017edition)" in the case,two mathematical modeling with establishment of evaluation index system and the ordinary high school mathematics curriculum standards(2017 edition)"mathematical modeling of the literacy level evaluation standard evaluation respectively,0-0.6 and a corresponding level,0.6points,0.9 points and level 2,0.9 points-three corresponding points and level 1.The conclusions of this study are as follows:(1)To formulate five first-level indicators and 17 second-level indicators for the evaluation index system of senior high school students' mathematical modeling literacy,among which the first-level indicators include: mathematization,mathematical model establishment,mathematical problem solving,mathematical expression and mathematical result processing.Mathematical include:processing experimental data,determine the algebraic expressions,or information variables and parameters,establish mathematical model includes: confirm the model,model characterization information in the data,solving math problems include: to use mathematical tools to find solutions,with the mathematical knowledge,using mathematical knowledge processing information and demonstration project and promotion,the reflection process,a mathematical expression contains:characterization and interpret data,information of the chart,language expression,processing mathematical results includes: explain mathematical results,evaluate the results of mathematical,adjustment model,explain the meaning.(2)Determine the index weight in the evaluation index system of senior high school students' mathematical modeling literacy.Among them,the weight coefficients of the five first-level indexes are: 0.36,0.25,0.16,0.15 and 0.08.Secondary index weight coefficient of the concrete are shown in table 5-7,mathematical three secondary index weight coefficient are: 0.33,0.39,0.28,and establish a mathematical model of two secondary indexes weight coefficient are: 0.42,0.58,and solving math problems five secondary index weight coefficient are: 0.14,0.32,0.23,0.16,0.14,mathematical expression three secondary index weight coefficients are: 0.41,0.30,0.29,with mathematics result four secondary indexes weight coefficient are: 0.28,0.19,0.32,0.21.(3)The general high school mathematics curriculum standards(2017 edition)and the mathematical modeling literacy evaluation index system constructed for high school students were used to evaluate 30 high school students.Combined with the test results of the students,it was found that the test results of only one student were slightly different from those of the other 29 students,and the results of the other 29 students were all the same,meeting the requirements that 0--0.6corresponds to level 1,0.6--0.9 corresponds to level 2,and 0.9--1 corresponds to level 3.Therefore,it is considered that the evaluation index system of high school students' mathematical modeling literacy is scientific to some extent.This study studies the construction of the evaluation index system of high school students' mathematical modeling literacy.However,due to my limited academic ability,the expression of some indicators is not refined enough,and the students' test papers are not explored.The primary and secondary indicators are drawn up only by literature analysis,and the rationality of the established evaluation indicators is not verified because of limited time.In the future research of mathematics education,I will make further research and Exploration on mathematical modeling literacy. |
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