| In 2011,the original double base was changed to four bases in the new curriculum standard,which increased basic thought and basic activity experience.With the new curriculum standard put forward that students should learn mathematics thought,most of the mathematics teachers have realized that our mathematics classroom should not only teach students mathematics knowledge,exercise students basic problem solving skills.How to enable students to understand mathematical thinking and grasp mathematical thinking and use it to solve mathematical problems is a problem that all mathematics teachers need to consider.As a relatively important mathematical thought,the strategy of solving problem ability is very important.At home and abroad,there are many studies on the idea of combination of numbers,including the analysis of the concept of mathematical combination,the solution of related questions,and some better training strategies.However,in the course of actual teaching,we find that many students and teachers have not attached importance to the idea of logarithmic combination.They are only used as a tool for solving problems,so that students can not solve them well when they meet some new types of questions.This point can be verified in student’s test.Similarly,teachers don’t consciously infiltrate this idea in class.In the test of students,we find that students are basically able to solve the familiar problems of the combination of number and shape,but it is not easy to combine the number with the form when it is difficult or relatively unfamiliar.One of the most important reasons is that the students’ ability to map is poor.Through the analysis of teaching materials,we can see that the new curriculum has gradually raised the requirements of the combination of numbers and shapes according to the age of students,from grades seven to eight.In the interview,we understand that teachers do not fully understand the concept of combination of numbers and forms,and there is no effective way for teachers to transfer the idea of combination of numbers and shapes to students.This paper is based on three aspects of investigation: students,textbooks and teachers,making corresponding training strategies.From the point of view of teaching materials and students,students are required to first feel the connection between number and shape by specific numbers and points in grade seven.In grade eight,they need to have a relatively abstract combination of numbers,such as a right angle triangle,which can combine the specific edges and numbers,and correspond to the number of letters and their images.In grade nine,students should have the ability to combine numbers with the numbers.The problem can be solved by calculating the number,and it can take the initiative to consider the visualization of form.From the point of view of teachers,teachers should understand the relevant concepts of the combination of numbers and shapes,realize the importance of the thought of combination of numbers,and help students to solve the problem.In the classroom,students can master the ability of combining numbers by learning the content of the teaching materials. |
