Solving The Algebraic Problem By Using Geometric Intuition

Based on the intuitive thinking inspiration in the solution of algebraic problems, on the one hand,combining with "inequality algebraic geometric meaning, the unit circle intuitive teaching" and other relevant teaching cases, this thesis aims to analysis the importance of feeling intuition in teaching. By organizing the related classroom teaching to cultivate students' number form thinking habit, inquiry-based teaching principle, so students can realize the importance of intuition in math teaching. On the other hand,the thesis is by means of visual inspiration role to explore "the nature and function of variables, the most nature problem, plane vector geometry properties and distance visual description of the problem" and so on.These problems are related to the key knowledge of the middle school stage, and also they're the hot spots of the university entrance exam. Through the study of this thesis, which can achieve a proper combination of scientific and teaching purpose. The purpose of this thesis is under the analysis of specific examples to understand graphics intuitive analysis and solve problems' important position. During the process of math teaching, physical methods, like concepts, definitions and formulas are often used. The use of geometric shapes, images and graphics intuitive to inspire algebraic method to solve the problem also called "to help function,to the several analysis form". Besides,with the questionnaires and the discussions to the students who have different understanding of the intuitive teaching. While with the learning feedback , which can guide the following math teaching. Finally, the intuitive teaching can change students'understanding of classroom, make students feel their importance and their superiority ,which really puts the curriculum concept into practice.Moreover this visual inquiry classroom can improve students' practical skills,cooperation ability and the good habit of active thinking As Wang Zhishang, the capital normal university teacher stated "math is the study of graphics and digital a discipline, to use graphics to guide teaching and to solve the problem". This thesis also obtains the advantages of visual teaching that has irreplaceable status, such as the development of"space imagination ability and abstract epitome ability , reasoning ability, solving arithmetic, data processing and application ability and innovation consciousness of culture",which plays a vital role. Meanwhile,this thesis also can obtain the good teaching effect.