Research On Polya's Problem Solving Teaching Based On Intuitive Imagination Literacy

Problem-solving teaching is the soul of high school mathematics teaching,and learning mathematics well means being good at problem-solving.However,focusing on results,neglecting process,training,reflection,imitation and understanding has become the mainstream of the current high school mathematics problem-solving teaching;students can understand in get out of class,but can't do problems after class,and they have no way of starting with new problems.The reason is that students lack the thinking ability to discover,analyze and solve problems.In the first half of the20 th century,the book "How to Solve Problems" by the mathematics educator George Polia was published,which provided a thinking direction for the teaching of mathematics problem solving.In fact,Polya's problem-solving table is very helpful to students' problem-solving ability in terms of metacognition and practical operation.In 2014,the Ministry of Education proposed core literacy.In 2016,it clarified three aspects of core literacy,six literacy and 18 basic points.Since then,the connection between mathematics problem-solving teaching and core literacy has been favored by experts and scholars.The intuitive imagination of the six core qualities embodies the essence of mathematics and has a very important educational value in mathematics.The examination and application in the college entrance examination has risen to an unprecedented height.Intuitive imagination helps lower the threshold for solving mathematical problems,turning abstract into concrete,making difficult and easy,and simplifying complex questions.Many questions can be "see" without calculation.Improving students' problem-solving ability is an urgent need for mathematics teaching.Polya's problem-solving table is a classic achievement in the field of problem-solving.Intuitive imagination is an invisible tool for problem-solving.The combination of the two is quite oriented to problem-solving teaching.research value.This article uses the real questions of the college entrance examination as the carrier,from the perspective of "intuitive imagination literacy",and explores the teaching strategies of problem solving with the help of "Polya Problem Solving Form".Mainly study four aspects of problems: 1.Survey of the current situation of high school students' problem-solving based on intuitive imagination;2.Application of Polya's problem-solving method in problem-solving of college entrance examination;3.Current situation of examination of intuitive imagination literacy in college entrance examination questions;4.Under Polya's problem-solving thinking mode,use intuitive imagination to effectively combine the two to improve the problem-solving ability of high school students.First of all,the questionnaire was designed.Data analysis showed that the problem-solving thinking of high school students and Polya's problem-solving model did not fit well.The students realized the superiority of intuitive imagination but would not use it flexibly,and their application consciousness was weak.Secondly,using the case analysis method,using the real questions of the national college entrance examination in the past five years of science as the carrier,research the application of Polya's problem-solving method in the college entrance examination problem solving and the current situation of the examination of intuitive imagination literacy in the college entrance examination questions.Then,he proposed specific strategies for using intuitive imagination under Polya's problem-solving thinking mode: the stage of understanding the problem—illustrating with pictures,the stage of drawing up a plan—seeking the purpose of the picture,the stage of executing the plan—the stage of sorting out and reviewing the problem—-Borrowing pictures to diverge.Finally,according to the problem-solving teaching strategy in the article,design the teaching case of the exercise class,and conduct the teaching test,collect the feedback information of the students,and do the effect evaluation and analysis.This research hopes to make readers realize the charm of intuitive imagination and Polya's problem-solving method,and to provide some thinking and help on how to teach high school mathematics teachers well to improve students' problem-solving ability.