| The "National Mathematical Curriculum Standards(2017 Edition)" announced by the Ministry of Education identifies mathematical models as one of the main components of mathematical competence,defines its implications and calls for "mathematical modeling activities and mathematical research activities." An important way to cultivate the necessary skills is a textbook,that is,only after a thorough analysis and knowledge of the textbook,can the textbook be used expertly and in accordance with the curriculum standards.This article takes "2019 General High School Textbook Mathematics(Personal Education Version A)" as the research object,trying to analyze the content of mathematical modeling in the new textbook.The specific research questions are: 1.The method combines qualitative and quantitative methods with multiple dimensions Analyze and study the characteristics of the distribution of mathematical modeling content in mathematics textbooks and their presentation methods;2.Analyze the level of modeling content of high school mathematics textbooks;3.Consistency between the modeling content of high school mathematics textbooks and curriculum standards(2017)Analysis;4.Provide teaching suggestions for front-line teachers on the modeling content in the new textbook.Based on the above research questions,the relevant concepts are first defined;then based on the presentation method and the level of mathematical modeling literacy in the new curriculum standard,the mathematical modeling content in the new textbook is analyzed separately;then the modeling content in the new textbook and the new The specific requirements of each chapter in the curriculum standard were analyzed for consistency,and corresponding conclusions were drawn;finally,a questionnaire survey was conducted with front-line teachers to understand their familiarity with the mathematical modeling content in the new textbook and the setting of mathematical modeling courses.Difficulties,and proposed some strategies for using mathematical modeling content in new high school textbooks.Research findings: 1.The main presentation methods for implementing mathematical modeling literacy in textbooks include: problem introduction,sample problems,and exercises;2.The level of mathematical modeling content in the new textbook is basically easy,but the coverage is more comprehensive,focusing on the application of each model.Most of the content that involves the need to use mathematical modeling ideas to solve problems is the same as that of the textbook before it.The examples are roughly similar,showing the entire process of mathematical modeling.The textbook is compiled with selective and hierarchical activities related to mathematical modeling,which conforms to the basic,selective,and hierarchical characteristics of the textbook,and shows that the textbook The principle of increasing the difficulty of mathematical modeling content,provide a good carrier for the realization of teaching goals;3.From the comparison of course breadth,course depth,and course difficulty,it can be seen that the course breadth,course depth and course difficulty of the compulsory first middle school mathematical modeling content of the new high school textbook of the People's Education Edition are mostly higher than the 2017 version of the new course standard;4.Through investigation and analysis,the teacher's understanding of the new textbook and some ideas: teachers have little understanding of the new textbook and the analysis is not thorough.Due to insufficient time and unsupported environmental conditions,the development of special courses on mathematical modeling There are also few,based on the findings of the survey,some suggestions have been made. |
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