| High school mathematics is a logical and theoretical subject,which is of great significance for cultivating the core literacy of high school students in mathematics,expanding their rational thinking,and promoting their all-round development.Solid geometry is one of the four main lines in the new curriculum standard.A branch of "Geometry and Algebra",its high degree of abstraction has become a major obstacle for teachers and students to learn,resulting in low scores for students in the three-dimensional geometry part of the college entrance examination.Therefore,this article is studying the Tower of Experience and Polya's problem solving On the basis of ideological theory,analyze the characteristics of the three-dimensional geometry test questions in the college entrance examination,combine the research results of predecessors and own practical experience,and design the three-dimensional geometry problem solving cases under the Geo Gebra tool based on Polya's problem solving ideas.The general solid geometry problem-solving strategy is summarized in the case.First of all,it analyzes the suitability of the integration of Geo Gebra software,Polya's problem-solving ideas and the three-dimensional geometry test questions of the college entrance examination.In the papers of Wang Shuo and Han Mingyue,it can be initially obtained: Geo Gebra software has significant advantages in assisting three-dimensional geometric drawing.,While shortening the drawing time and enhancing the visualization effect of solid geometry problems;Polya's problem-solving ideas provide students with general ideas for understanding problems,and improve the efficiency and accuracy of problem-solving.Combining the new curriculum standards and The solid geometry in the college entrance examination questions clarifies the appropriateness of the Geo Gebra software and Polya's problem-solving ideas in the college entrance examination questions in solid geometry.Secondly,analyze the three-dimensional geometry test questions of the college entrance examination in the past five years,sort out the real questions of the three-dimensional geometry and mathematics of the college entrance examination in2016-2020,and divide them into four categories according to the knowledge blocks,namely: the angle formed by the straight line in the space and the opposite plane Related problems;situational problems related to solid geometry in space;turning problems related to solid geometry in space;cross-section,tangent,and connection problems related to spheres in space.Furthermore,based on Polya's problem-solving ideas,using Geo Gebra The software is used to make a visual teaching case of solid geometry problems.In the case of solving problems,Geo Gebra is used to make solid geometric visualization graphics,aiming to provide students with "visible" solid geometric models,and to provide students with visual materials that they can "imagine";Polya's problem-solving thoughts are used as a guide to help students understand the meaning of the problem,draw up a plan,implement the plan,review,guide students to learn to solve the problem in the process of solving the problem.Finally summarize the general strategy of solving the problem in solid geometry.Under the guidance of Polya's problem-solving thoughts,Geo Gebra software is used as a drawing tool to solve the three-dimensional geometry problems of the college entrance examination.There are certain requirements for the information technology ability of teachers and students and the creative use of Polya's problem-solving tables.At the same time,for high school mathematics In the other three main lines of the Chinese Academy of Sciences,problems similar to geometry can be used to carry out problem-solving research using the combination of the two models to improve students' problem-solving ability.In addition,it can also be applied to other disciplines such as physics and chemistry.Promote students' overall understanding of this problem-solving mode. |
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