Research On The Current Situation Of Multiple Solutions To A Plane Geometry Problem Based On Multi-Representations In Middle School

The characterization of the problem is often one of the key factors to solve a problem,and a mathematical problem often has a variety of characterization methods(Multi-Representations),these multiple representations often lead to different solutions,The solution of plane geometry problem and the diversity of characterization methods make it feasible to put such a theoretical basis on a platform such as plane geometry.And the author's observation in the course of practice,found that students in the study of plane geometry based on multiple representations of multiple solutions,the interest is high,and found that the student union actively in the class from the perspective of different ways of representation to think about other solutions.This study investigates the current situation of junior high school sophomores based on multi-representation of multi-problem multi-solution of plane geometry.The study finds that boys are more interested in learning plane geometry,but through multi-representation of multi-problem multisolution of plane geometry,boys and girls will become more interested in learning.However,boys' classroom performance will be more positive.The study also found that students with higher grades in mathematics,boys and girls alike,had higher interest in multiple solutions to plane geometry problems based on multiple representations,and their learning motivation was stronger,their teaching effect and classroom satisfaction were higher.However,it could also enhance the learning interest and motivation of students with average academic performance,and enable students with average academic performance to be able to do so.Enough efforts to achieve good results.At this stage,no matter boys or girls,students' ability to solve multiple problems is not high,and students' ability of multi-representation is only limited to one of the representations,and the ability of translation between representations is also obviously inadequate.The ability of students with excellent academic performance to solve multiple problems is only slightly higher than that of students with general and poor mathematical performance,which is in fact an obvious spear.Shield's students,whether excellent in mathematics or ordinary and poor in mathematics,need to be improved in their innovative ability,mathematical multi-representation ability and mathematical thinking.The research shows that the multi-solution teaching of plane geometry based on multi-representation is a good teaching method for improving students' quality.It can improve students' interest in learning.Teachers should attach great importance to it.At the same time,they should strengthen the cultivation of students' multi-solution ability and multirepresentation ability,develop students' mathematical thinking and improve students' innovative ability,so as to develop quality education with Chinese characteristics.