| Under the background of the new era,along with the party and the state will cultivate the "core literacy of student development" as the basic requirement of education,the academic community and the practice of primary and secondary education have immediately launched a wave of research and implementation of "core literacy".The core literacy of the discipline is an integral part of the core literacy of students.It is very important to study the evaluation index system of mathematical abstract literacy,which is effective for the cultivation of the core literacy of mathematics and even the core literacy of students.Based on this,this study takes the construction of high school students' mathematical abstract literacy evaluation index system as the main goal,and constructs the evaluation index system and the empirical test evaluation index system as the main research contents,and follows the logical path of "theoretical construction-application test".To carry out research.The theoretical construction part mainly focuses on the two major problems of high school students' mathematical abstract literacy "what is" and high school students' mathematical abstract literacy evaluation "what to comment on".First of all,using the literature data method,through the literature on the "quality and literacy","mathematical literacy and mathematical core literacy","mathematical abstraction and mathematical abstract literacy",and so on,based on the existing research results It is suggested that the high school students' mathematical abstract literacy refers to the thinking ability and quality gradually formed by the individual students in the process of mathematical abstraction,and solves the problem of the high school students' mathematical abstract literacy.Secondly,from the core literacy training objectives,the development and improvement of mathematics curriculum,the improvement of teachers' professional quality,the improvement of basic education students' academic evaluation system,the improvement of primary and secondary education quality and the effectiveness of school education management,the high school students' mathematical abstract literacy is explored.Evaluate the value of the construction of the index system.Finally,based on Bloom's educational goal classification theory and PISA model,the evaluation dimension of high school students' mathematical abstract literacy is discussed,and the evaluation index of high school students' mathematical abstract literacy are preliminarily selected.Based on this,the expert consultation method is used.Two rounds of expert opinions were sought,and all levels of indexs for high school students' mathematical abstract literacy were revised and improved.The analytic hierarchy process was used to consult experts and determine the weights of indexs at all levels.Finally,it constructs three first-level indexs(abstract perception,abstract process,abstract sentiment)and nine second-level indexs(realistic abstraction perception,pure mathematical context abstraction,mathematical structure recognition,mathematical structure application,mathematical structure construction,abstract emotion,abstract attitude,abstract belief,abstract value).High school students' mathematical abstract literacy evaluation index system,solves the problem of "evaluating what" of the evaluation index in high school students' mathematical abstract literacy evaluation.The application test part mainly solves the "effectiveness" problem of the well-established high school students' mathematical abstract literacy evaluation index system through empirical research.First,select the assessment object.According to the school's region,teacher strength,school time,college entrance examination rate and other factors,X middle school(county level school,general),P middle school(county level school,medium)and Z middle school(city level school,excellent)were selected.In the second year of the three schools,30 students from three different classes of “excellent”,“medium” and “quneral” were selected to form a total of 270 students.Second,develop evaluation tools.Through the development of high school students mathematics abstract literacy examination list,collect the questions related to mathematical abstract literacy,and appropriate adaptation,preparation of test papers,the development of scoring standards,preliminary development of high school students mathematical abstract literacy assessment papers.In addition,in order to understand the situation of high school students' mathematical abstract literacy's abstract emotion dimension,this paper studies and compiles 10 observation indexs of high school students' mathematical abstract literacy abstract sentiment dimension,and designs 10 questionnaire questions accordingly.Third,predict and improve the test volume.In the middle school of X middle school,20 students were randomly selected to participate in the prediction.The evaluation volume was revised and improved by analyzing the results about answering,the difficulty and discrimination of the questions.Fourth,formal testing and results analysis.After the formal test,by analyzing the difficulty,discrimination,reliability and validity of the test questions,and the reliability and validity of the questionnaire,it is determined that the quality of the test paper used in this study is excellent.On this basis,the test results were analyzed by ANOVA using SPSS24.0.Through the analysis of the students' performance in the three schools,the study found that there are significant differences in the mathematical abstract literacy of the students in the three schools of Z,P and X,and Z>P>X;through the scores of students of different types of classes in each school.Through analysis,the study found that there are significant differences in the mathematical abstract literacy of students in different classes of Z,P and X schools,and “excellent class” > “middle class” > “quneral class”.The results obtained through empirical tests show that the high school students' mathematical abstract literacy evaluation index system constructed in this study is scientific and effective.On the whole,this study enriches the research results of “core literacy” in the construction of high school students' mathematical abstract literacy evaluation items,the construction of high school students' mathematical abstract literacy evaluation index system with weights and the experience of providing empirical application.However,in the process of research,there are problems such as single research method,insufficient depth of theoretical discussion,and single conclusion of research conclusions in empirical application.In the future research,we can use a variety of methods to demonstrate the high school students' mathematical abstract literacy evaluation indexs,and explore the connotation of high school students' mathematical abstract literacy from multi-disciplinary and multi-dimension perspectives,and further enrich the high school students' mathematical abstract literacy evaluation indexs system. |
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