| As an important thought method of high school mathematics,the idea can not only help students simplify the process of solving problems,but also be conducive to cultivating students’ mathematical thinking and mathematical core literacy.The intuitive imagination of mathematics core literacy proposed in the Mathematics Curriculum Standards of Ordinary High Schools(2017 edition 2020 Revision)also puts forward the requirements for the combination of numbers and shapes in terms of thinking and expression.Therefore,it is necessary to strengthen the students’ combination of numbers and shape in the high school function review class.The function is the main line that runs through the whole middle school mathematics,is the main content of middle school mathematics,and plays a key role in students’ learning and development.This study is based on the relevant literature students questionnaire,test volume and teacher interview outline,understand the current three students function review the specific performance situation,master the students in the thinking of solving the problem of the function of the process,analysis of the students in solving the problem of number combined with related functions.The research results find that: first,the learning situation of students in the third three function review class is not ideal,most students think that the content of high school function is difficult,so the situation is not good.In the function review class,the senior three students’ understanding of the combination of numbers and shapes is still at a relatively simple level,and there are certain limitations in the practical application.In addition,the current mode of function review class in senior three can not meet the actual needs of students.Teachers will pay attention to the application of mathematical thinking methods in the teaching process,but the acceptance of students is not very ideal.Second,the third grade three students ’combination of numbers and shapes thinking ability is general,most students’ reading map,drawing ability is poor,can only solve the problem of more basic functions.From the perspective of "number by form",students have inaccurate and irregular drawing,resulting in problem solving failure;from the perspective of "number form",the misinterpretation of the image information results from "number" and "number" to "shape".From the perspective of "considering numbers and shapes",most students do not follow the "simplicity principle" of the idea of combining numbers and shapes,and cannot flexibly use algebraic relations and geometric properties to simplify the operation.Thirdly,based on the above problems,put forward the corresponding teaching strategies,such as creating intuitive situations with information technology;strengthen practical research,strengthen the concept understanding;pay attention to the combination of "number" and "shape",inspire multiple thinking,and help the teachers to strengthen the combination of log-form in the high school function review class.Finally,according to the relevant teaching strategies,the teaching of high school function review is planned,and the specific teaching design is taken as an example to explain how to strengthen students’ combination of numbers and shapes in the high school function review. |