Research On Measurement And Evaluation Mathematical Abstract Literacy Of High School Students

Mathematical abstraction as a mathematical method,the basic idea of penetration in all aspects of real life,in order to implement the new curriculum concept,to carry out the students overall development goal,ordinary high school students need to research the existing mathematical abstraction literacy levels,for all educators to cultivate students the effective basis of mathematics abstract accomplishment.This paper adopts literature analysis method and questionnaire testing method,and the research process has experienced the following stages:1.Design of the framework for evaluating the abstract accomplishment of senior high school students.Firstly,this study clarified the connotation and main types of mathematical abstraction and related contents of PISA mathematical literacy assessment through literature analysis.Secondly,in combination with the Curriculum Standard(2017 Edition)and the PISA mathematical literacy evaluation system,an evaluation framework of high school students' mathematical abstract literacy is constructed according to three dimensions of content,process and situation,and six levels of mathematical abstract literacy are divided.The content dimension refers to the subject knowledge content,including the content of the main line of function in the compulsory high school mathematics and selective compulsory courses.The process dimension refers to the three energy groups of reproduction,connection and reflection.Situational dimension includes personal situation,professional situation,social situation and scientific situation.2.Compile corresponding test tasks according to the literacy evaluation framework.In this study,a questionnaire for the test of mathematical abstract literacy was designed based on the main line of functions in the curriculum standard.Through the analysis of validity and reliability,an effective test paper for the test of mathematical abstract literacy of high school students was obtained.On the premise of being recognized by experts on the evaluation system and the test questionnaire,the test papers were issued and collected,and the results were sorted out and analyzed.3 application of mathematics abstract accomplishment evaluation framework.This study,a high school in Nanchang two senior science class,a total of 84 students as samples,questionnaires,through collecting,sorting,analysis of measured results,the following conclusions:(1)combined with high school mathematics abstract accomplishment evaluation system with the measured performance of the students,the majority of students in mathematics abstract literacy level four;(2)Students' mathematical abstract literacy is somewhat deficient in the following aspects: first,the abstraction of mathematical concepts and rules;second,the application of mathematical propositions and models;third,the summary of mathematical methods and ideas;fourth,the understanding of mathematical structure and system.Based on the problems exposed by the students in the process of mathematical abstraction,the author gives some teaching suggestions to improve the mathematical abstract literacy of high school students for reference :(1)to improve the mathematical abstract literacy in the process of re-creation;(2)To develop mathematical abstract literacy in the application of APOS theory;(3)To form mathematical abstract accomplishment in concept teaching;(4)Cultivate mathematical abstract literacy in mathematical modeling activities.