Investigation And Teaching Research On The Development Of Mathematical Modeling Ability Of High School Students

Mathematical modeling is constantly deepening in senior high school math curriculum standards from the original model thought to mathematical modeling quality in the latest curriculum standard and makes a corresponding requirement for hours of mathematical modeling activity and mathematical exploration activity.In recent years,Some people still pay attention to the evaluation research of mathematical modeling,the research method is single,and there are few studies on influence factors of mathematical modeling capacity.Based on Zhu Yamei's evaluation framework and behavior evaluation indexes,this paper investigates the development of students'mathematical modeling ability,studies the influence factors on students' mathematical modeling capacity,and puts forward teaching countermeasures from three aspects of textbook compilation,teachers and students.Firstly,according to questionnaires of 236 senior two students,the author realizes the status of senior high school students' mathematical modeling capacity as follows:the mathematical modeling capacity practice belongs to the second category and medium low level.Students have good mechanical application performance in the original model.52.21%of students reach mathematicization.They only realize scene structuralization in model relation,combination,and migration,but fail to realize mathematicization.Students have poor performance in model reflection and innovation and can't figure out mathematical information contained in the situation.Secondly,the author respectively interviews with students and teachers and combines with test paper results to obtain the influence factors of senior high school students' mathematical modeling capacity as situation range,knowledge reserve,mathematical capacity and core quality,as well as innovation of teaching and study.The situation range is involved in personal life,social life,occupational life and science situation,affecting degree of students'scene structuralization.Students'knowledge reserve focuses on affecting students' capacity of mathematicization and mathematical solutions.Mathematical capacity and quality realize mutual restraint and joint development,affecting the entire process of mathematical modeling.Innovation of teaching and study affects students' tendency of mathematical modeling capacity development.At last,the author reflects and proposes the corresponding development countermeasures on textbook compilation,teachers'teaching and students'study.In terms of textbook compilation,textbooks should increase some guidance words,enhance balance of task difficulty and set up open questions to spread students'thinking.Also,teachers should improve themselves from the perspectives of teaching and study,including theoretical knowledge,modeling capacity,modeling teaching,modeling evaluation,and modeling reflection.As for students' study,students should notice the context and construct the knowledge system.Particularly,students should weaken sluggishness in the mathematical modeling.Students should solve problems with planning,explore internal essence,and look for a law.