Research One Dollar Equation Based On The Model Thought

With the deepening of educational research and the rapid development of educational reform, People have a new understanding of mathematical ideas and propose the basic idea of mathematics, so paying attention to training the basic idea of mathematics becomes a hot spot of Mathematics Education. Model thought is one of the basic idea of mathematics, equation is an important mathematical model, and it is an important carrier to form students′model thoughts.Based on studying the model thought of ideological and from the perspective of a mathematical model of thought, the article analyzed the textbook of one dollar equation ′ content presentation, refined the design intent and designed the questionnaire. Through the implementation of a questionnaire survey of seventh-graders, the article understands seventh grade students′basic situation of learning one dollar equation, and main conclusions are as follows:By presenting a rich problem situation and mathematical model, it can show the value of the mathematical model, and can achieve the purpose of consciousness in students′mathematical modeling;By presenting the whole process modeling, it can show the methods of model construction, and can achieve the purpose of ability in students ′mathematical modeling;The mastery of the students′basic knowledge affects the construction of a mathematical model;The mastery of the students ′ method in analyzing problem affects the construction of mathematical models;The mastery of the specific model affects the construction of mathematical models;Students ′ ability of abstraction and reasoning affects the construction of mathematical models.In the end, based on the question presented in the findings, the author putforward the corresponding teaching suggestions of teaching model thought:Paying attention to mastering basic knowledge lays the foundation for the construction of the model;Paying attention to accumulating the method of analyzing problems provides the backbone for the construction of the model;Paying attention to understanding the specific model guides the direction for the construction of the model;Paying attention to teaching abstraction and reasoning provides the protection for the construction of the model.