The Teaching Study On Training Mathematical Audio-visual Attainment

Audio — visual Attainment is one of the six core attainments of mathematics in our country,the critical way of discovering,proposing,analyzing and resolving problems,and also,it is the thinking base of mathematical abstraction,logical reasoning,and mathematical modeling.And mathematical intuition not only includes geometric intuition,but also algebraic intuition.But,currently,the research on cultivation of mathematical intuition is mainly based on geometric intuition,whereas the research on algebraic intuition is relatively less.The purpose of this research is to take the content of "quadratic equation in one variable" as an example to train the teaching of mathematical audio—visual attainment from the perspective of algebraic intuition.It mainly uses literature research method,volume survey method,interview method,and comparative research method.This article draws the following conclusions:(1)Intuition is a kind of judgment ability,which is to make direct judgments on things with professional intuition.Mathematical intuition is a kind of judgment ability to grasp mathematical objects(structure and relations)quickly and directly without deductive reasoning.Geometric intuition is a kind of judgment ability that quickly and directly grasps the position and quantity relationship of geometric elements or the related properties,laws,scope,and methods of geometric elements without deductive reasoning.Algebraic intuition is mainly based on the content of algebra as a starting point,without deductive reasoning,a kind of judgment ability to quickly and directly grasp the results of algebraic operations or related properties,laws,scopes,and methods of concepts.Geometric intuition and algebraic intuition are interrelated.(2)Through the investigation of the present situation of algebra intuitive teaching,the following problems are found:(1)The students at different school levels have differences in the level of algebraic intuition;(2)Students have different opinions on the concept,roots,and solutions of the "quadratic equation in one variable".The level of intuition needs to be improved;(3)The students ’ability to combine figures and shapes is relatively poor;(4)Teachers need to pay more attention to the cultivation of intuitive imagination literacy;(5)Some teachers lack the teaching of examination skills in teaching;(6)Some teachers seldom involve in teaching Contents other than textbooks.(3)Cultivate intuitive teaching strategies for junior high school algebra:(1)Deepen the conceptual understanding of horizontal and vertical;(2)Enrich practical activities to accumulate basic activity experience;(3)Strengthen inductive reflection to improve thinking ability;(4)Create problem situations to stimulate interest in learning.(4)The effectiveness of the teaching case:(1)The enthusiasm and initiative of the students to participate in the classroom was significantly improved;(2)The inertial thinking of the students’ understanding of concepts,memory,field of view,and separation of numbers and shapes has been improved to a certain extent;Insight ability,solution selection ability,and overall grasp ability have been improved to a certain extent.