Practical Research On Mathematical Modeling Activities Based On "Curriculum Thinking And Politics"

As one of the main courses in middle schools,mathematics should also shoulder the responsibility of standing up and cultivating people,but it lacks systematic scientific thinking theory while cultivating students’ scientific thinking.In 2017,the"General High School Mathematics Curriculum Standards" issued mathematical modeling as one of the core qualities of mathematics.Mathematical modeling is a bridge between mathematics and the outside world.It has unique advantages in cultivating students’ scientific thinking and scientific spirit,which is consistent with the teaching purpose of "curriculum ideology".Therefore,the construction of mathematical modeling activities based on "curriculum ideological and political" has great theoretical and practical value.Based on this understanding,this study takes the integration of "curriculum ideological and political" and mathematical modeling activities as the starting point,and mainly studies three parts:(1)Through a comprehensive and systematic analysis of the relevant text materials of "curriculum ideological and political" and mathematical modeling activities,explore the necessity and feasibility of the integration of "curriculum ideological and political" and mathematical modeling activities;(2)First of all,through literature research and textbook analysis,confirm the entry point and integration path of "curriculum ideological and political" in mathematical modeling activities;Secondly,based on the mature mathematical modeling activity model,the teaching model of "half open five links" is proposed,and then the teaching design process of mathematical modeling activity based on"curriculum ideological and political" and the principle of selecting activity topics are confirmed;Finally,select and analyze one of the teaching cases;(3)Design the evaluation system of mathematical modeling activities based on "curriculum ideological and political",and then verify the effectiveness of the mathematical modeling activities based on "curriculum ideological and political" by conducting a teaching contrast experiment between the mathematical modeling activities based on,curriculum ideological and political" and traditional mathematical modeling activities in high school.Based on this,the problem of "what to teach","how to teach" and "how to learn" in the process of integrating "curriculum ideological and political" with mathematical modeling activities has been solved,and the teaching theory prototype and practical experience of integrating "curriculum ideological and political" with mathematical modeling activities have been generated,providing a new alternative teaching mode for carrying out mathematical modeling activities in senior high school,At the same time,it provides a new and necessary teaching direction for the integration of "curriculum thinking and politics" into mathematics classroom.Through the design and implementation of mathematical modeling activities based on "curriculum thinking and politics",the following conclusions are drawn:(1)It is necessary and feasible to integrate "curriculum ideological and political"with mathematical modeling activities;(2)The theoretical entry point and teaching integration path of "curriculum ideological and political" in mathematical modeling activities,the teaching mode of mathematical modeling activities based on "curriculum ideological and political""semi-open five links",the teaching design process,the basic principles for determining the topic selection of activities,and combing out some topics for reference in combination with the content of textbooks;(3)The teaching mode of mathematical modeling activities based on "curriculum thinking and politics" can effectively enhance the role of mathematical modeling activities in cultivating students’ mathematical interest,improving students’ scientific thinking,and strengthening students’ mathematical modeling awareness and thinking.Based on the research conclusion,the author puts forward the degree of improvement of mathematical modeling activities based on "curriculum ideological and political":(1)strengthen the dimension and depth of ideological and political theory penetration;(2)Expand the scope of the topic selection and implement the practicality of the topic selection;(3)Detailed division of labor for group activities;(4)Implement the teaching procedure of model optimization.