A Comparative Analysis Of The Content Setting Of Mathematical Modeling In High School Mathematics Textbooks

The General Senior High School Mathematics Curriculum Standard(2017 Edition)promulgated in 2018 lists mathematical modeling literacy as one of the six core qualities of mathematics discipline,and sets "Mathematical Modeling Activities and Mathematical Research Activities" as one of the main lines of curriculum content.Teaching materials are the link between teachers and students,an important carrier to implement curriculum requirements.This article adopts the literature research method,the text research method and the comparative research method,selects.The contents of mathematical modeling in the four sets of teaching materials A(2004),(2019),(2004)and(2019)are the research objects,combining the research framework of mathematical modeling literacy and modeling process,From the whole content,the knowledge domain and the modeling process three dimensions analysis the modeling content in the textbook,examines the human education A edition and the Beijing normal University edition new and old edition each adjustment situation,then compares the two horizontal adjustment what similarities and differences.It is found that:(1)the two new textbooks are rich in the whole content,The presentation forms are improved to more specialized mathematical modeling topics.However,Beijing normal University version(2019)system is more perfect,Wide range of functions,Clear context;However,the presentation of A edition(2019)lacks the introduction of mathematical modeling;(2)The proportion of mathematical modeling content in the two new versions of the textbook is.from less to more,From single to complex,From missing steps to complete,From dispersion to aggregation.But,A larger increase in the A edition,Added on the basis of the original content;And the Beijing normal University version(2019)removed most of the activities on the original basis,Other activities were expanded;(3)The content of mathematical modeling in the two new versions of the textbook is in the field of knowledge,They all cut the total,Both add the modeling settings of the main line of the function.For the modeling settings of geometry and algebra and statistics and probability,The partial focus of the two versions is different;(4)The content of the new modeling is from the point of view of the selected topic,Both versions add presentation class topics for the complete modeling process,More freedom and respect for students in task-based topics,of which the Beijing Normal University(2019)has higher degrees of freedom,More innovative;(5)The new version of the modeling has enriched the mathematical modeling process,More detailed steps,The aim is to make a good demonstration template for students.Among them,Beijing normal University(2019)version of the problem analysis steps presented better,Human Education A Edition(2019)lacks factor analysis of situational models.Based on the conclusion of the research,this paper puts forward some suggestions for teachers to use teaching materials:(1)teachers should fully understand the changes of mathematical modeling content in teaching materials;(2)understand the differences between demonstration and task topics,and attach importance to the embodiment of students' initiative;(3)pay full attention to the perfection of mathematical modeling process;(4)understand the ways of multivariate evaluation of mathematical modeling results according to the requirements of teaching materials.