Research On Cultivating Students' Plane Geometry Problem Solving Skills

In the mathematics curriculum standards,plane geometry is the key content,and it is an effective way to improve students' logical thinking ability.While transmitting the value of education,geometric knowledge also gives students a lot of learning difficulties,mainly reflected in the fact that students can't find ideas and methods.In today's context of the discussion of the value of geometric education and the implementation of the new curriculum standard,we should pay more attention to the geometric learning of students and explore how to develop the problem-solving skills of students' plane geometry.In order to ensure the operability and effectiveness of this research,the author used literature,interview survey,case analysis,action research and text research to expound the research status and research of scholars at home and abroad on the development of students' plane geometry problem-solving skills.Background,research significance.This paper describes the concept and connection of geometry and plane geometry,and introduces metacognition theory,constructivism theory,Polya problem solving theory and cognitive structure learning theory,which provides a theoretical basis for this research.The problem solving method of plane geometry is summarized,and the teaching strategy of plane geometry problem solving is given.Focus on analyzing and summarizing the problem-solving skills of plane geometry-related questions from four aspects.The first aspect is some simple graphics(line segments,angles,intersection lines,parallel lines),and the second aspect is triangles(congruent triangles,similar triangles,etc.)The third aspect is a parallelogram(including special parallelograms: rectangle,diamond,square),and the fourth aspect is circular(vertical diameter theorem,triangle circumscribed circle,circumferential angle,tangent,etc.).Then apply this research to the experiment of mathematics classroom teaching,and test the effect of this research on improving students' ability to solve problems.Finally,the research conclusions are given and reflections are made.The research on cultivating students' plane geometry problem-solving skills not only helps teachers to form systematic professional knowledge,but also enhances teachers' teaching ability.It also cultivates students' rigorous logical thinking ability and improves students' ability to solve problems in geometry.