A Study On The Ability To Solve Problems With The Idea Of Combination Of Number And Form Of Urban High School Students ——Take A High School In Nong'an County For Example

“Mathematics is the infinite science,”says Herman Weil.Number and shape are important contents in our mathematics research,among which number abstract,shape intuitionistic,using number and shape to combine thinking to analyze and solve related mathematical problems are very strong advantages,so in mathematics thinking method,the idea of number-shape combination is always a research hotspot.With the introduction of the concept of mathematics core literacy in the mathematics curriculum standard for general high schools(2017 edition),more attention has been paid to students' comprehensive quality in education,it is necessary to train students' mathematical thinking,innovative consciousness and improve their ability to solve problems.In recent years,we have found that the examination of three-dimensional thinking is more important and has more flexibility.However,there still exists the phenomenon that the combination of number and figure is only a means to solve problems in classroom teaching,and it is not regarded as the internal form of mathematics and the motive force to cultivate students' thinking ability,it also neglects to use it to improve students' problem-solving ability.How to excavate the educational value of the thought of the combination of numbers and shapes,and how to improve the ability of solving problems by using the thought of the combination of numbers and shapes,is worthy of the educators to ponder.Based on the above contents,this paper will study the ability of senior high school students to solve problems by the combination of number and figure.In this study,the author first logarithm-shape combination of ideas and problem-solving ability of the relevant literature at home and abroad,related concepts collated and summarized.This paper analyzes the position of the thought of combination of number and shape in mathematics of senior high school from the angle of mathematics teaching material(people s education a edition)and the design intention of college entrance examination questions.A questionnaire survey was conducted among 110 students in a high school in Nong' an County to find out the ability of senior high school students to solve practical problems by using the idea of number and shape.Using the method of interview,the author uses simple random sampling method to select 20 interviewees from the research subjects of the questionnaire survey.According to the survey of the interviewees,the author uses the idea of number and shape to help them solve the problems,as well as the use of number and shape of the difficulties encountered in the idea of conducting an interview,a comprehensive understanding of the ability of students to use number and shape of the idea of problem-solving.In view of the difference of students' ability to solve practical problems by combining number with form,the author analyzes the data obtained from the investigation and puts forward to consolidate students' mathematical knowledge foundation and strengthen cooperative learning,the strategies of infiltrating thinking methods,cultivating students' ability of transformation between numbers and shapes,paying attention to the analysis of typical problems,and using media to enrich teaching situations are discussed.In order to verify the feasibility of this strategy,two parallel classes were selected to observe the changes of students' ability to solve problems by combining numbers and figures.Finally,the author has carried on the profound summary and the reflection to this research.The author hopes that this research can make the first-line teachers permeate the thought of the combination of numbers and shapes in teaching and pay attention to the analysis of typical problems,so as to play a positive role in students' learning ability and teachers' classroom teaching.