The Application Research Of The Combination Of Number And Shape In High School Mathematics Teaching

Symbolic-graphic combination is an important thinking method in high school mathematics,throughout the whole high school mathematics system.On the one hand it can exercise the students' mathematical thinking and cultivate the students' mathematics core accomplishment,on the other hand is also an important tool in solving problems,so symbolic-graphic combination is a very worthy of study.Firstly,this paper combs the existing research on the combination of numbers and shapes by using the method of literature research,summarizes the contents of the teaching materials which are closely related to the combination of numbers and shapes and analyzes the typical examples and exercises in combination with the compulsory teaching materials of high school mathematics.Secondly,through the questionnaire and interview survey to understand the current situation of the use of digital combination of sophomore students,the results show that:Students logarithmic combination of the idea of a certain understanding,and can better use the combination of numbers and shapes to solve linear programming,analytic geometry and other related problems,"algebraic solution" and "geometric solution" of the choice bias has a clear personal tendency.However,there are some problems,such as not standardizing the drawing,not being able to find the quantitative relation from the geometry relation accurately,and not being able to construct the geometry correctly according to the characteristics of the digital structure.On this basis,combined with my teaching practice,this paper gives the strategies and methods of effectively using the combination of numbers and shapes from two angles of solving problems and classroom teaching,and designs and implements two teaching cases of exercises and new courses,and tests the proposed strategies...