Based On The Problem Solving Teaching Research Of Bolia's Idea Of Problem Solving,this Paper Takes The Teaching Of "the Basic Nature Of Circle" In Junior High School Of Zhejiang Education Edition As An Example

"Compulsory Education Mathematics Curriculum Standards(2011 Edition)" points out that while presenting mathematics results as knowledge and skills,we should pay attention to students' existing experience,so that students can experience the process of seeking results and solving problems.The teaching of problem solving based on Bolia's idea of problem solving revolves around students and problems,attaches great importance to students' experience in the process of problem solving,and enables students to gain as much experience of working independently as possible.Therefore,under the background of the new curriculum reform,the problem solving teaching based on the Pollyan idea is in line with the development trend of education.This thesis takes the teaching of "Basic Nature of Circle" in Zhejiang Education Edition Junior High School as an example to carry out a research on problem solving teaching based on Bolia's idea of problem solving.On the basis of reading literature,this thesis investigates the current situation of junior middle school students' learning "the basic nature of circle",the current situation of the construction of Bolia's problem solving thought and the current situation of teachers' problem solving teaching.Based on Bolia's idea of problem solving and Ye Lijun's general model of mathematics problem solving teaching,this thesis constructs the teaching of problem solving,and carries out teaching experiment research.The research methods mainly include literature research,questionnaire survey,interview survey,statistical analysis,experimental research,etc.The research contents mainly include:(1)The study status of junior high school students is investigated,and the existing problems are summarized:Students' self-evaluation directly affects their self-expectation;Improving interest is the key to improving students' learning enthusiasm;A few students are able to study systematically and trace their knowledge back to its source;Most students solve the problems step by step without first understanding them;Most students choose flexible methods to deal with a wide range of conditions;Most students are flexible in choosing ways to find connections between data and unknowns;Top students have a good habit of reviewing.(2)The present situation of problem solving teaching of teachers is interviewed and the existing problems are summarized:The younger teachers know Bolea better than the older ones;Teachers have different understandings of problem solving teaching;None of the teachers had developed a curriculum for problem solving;Teachers all believe that students' problem-solving ability can be evaluated through grades.(3)On the basis of Bolia's thought of problem solving,a problem solving model based on Bolia's thought of problem solving is given,and the comprehensive problems selected by the author are analyzed by this model.The general model of problem solving teaching proposed by Ye Lijun is integrated with the problem solving model based on Bolia's idea of problem solving.Finally,the author chose "Origami of Regular Polygon" to teach problem solving and present the teaching design.(4)To prove the effectiveness of the general model of problem solving teaching based on Bolia's idea of problem solving on improving students' problem solving ability.The author has carried out teaching experiments,and the results show that the general teaching mode of problem solving based on Bolia's idea of problem solving has a remarkable effect on improving students' ability of problem solving in the teaching of the basic nature of circles.