A Study On Penetrating Ways Of Mathematical Thinking Method In Primary Schools

Mathematical way of thinking is the essence of mathematical knowledge. It is the final realization of goals of mathematics education and it is one of the important connotations of mathematical literacy. Emphasis on teaching and learning of mathematical thinking on primary and secondary education in modern society, the importance of personnel training requirements. Strengthen the teaching of mathematical thinking, mathematical literacy is to enhance the students an important way.This article from the Dongcheng District, Dongguan City, Guangdong Province primary school mathematics teachers of mathematical thinking to start to understand the situation of Investigation found that the current elementary school mathematics teachers generally lack the understanding of mathematical thinking, mathematics teaching will not be able to consciously carry out related to students educational activities, therefore, education and training institutions should be strengthened at all levels of primary school mathematics teacher knowledge of mathematical thinking, literacy training.Through the mathematics curriculum standards of primary mathematics teaching and related research literature, the first related to the mathematical way of thinking defines the concept, the author believes that although mathematical thinking and mathematical methods of the specific meaning of different focused on the means of mathematical thinking universal significance and principles of thinking, and mathematical methods focused on the activity or engaged in mathematical problem-solving strategies and means. Between mathematical ideas and methods, but still has close links, whether the primary stage of mathematical thinking these important mathematical ideas, or whether the mathematical method is not necessary to carry out meticulous distinction, without distinction in this case, you can collectively referred to as their mathematical thinking. Then summarizes the primary stage of several major mathematical thinking, including:the Idea and method, a collection of ideas, symbolic thought, equation of ideology, ideological function, Shuxingjiege thinking, thinking of geometric transformations, infinite and ultimate idea Probabilistic thinking and statistical thinking, and to list out the mathematical way of thinking reflected in teaching materials and teaching requirements. Subsequently, the authors point of view of cognitive psychology from the formation of mathematical thinking. Mathematical way of thinking as the procedural knowledge in their teaching procedural knowledge to follow the characteristics of the formation, by assimilation, to conform to and balance the impact of the three basic processes, it has been to promote students mathematical cognitive structures and new mathematical knowledge between interaction, and to achieve a new balance from the old balance of the conversion to make the mathematical way of thinking really become a student of mathematical literacy, mathematical ability to become part of the students.Finally, in education, psychology, theory, combined with the status of teaching of mathematical thinking and mathematical thinking of their own characteristics, this paper describes more fully the teaching of principles of mathematical thinking, including:the principle to keep pace, the principle of spiral The system arrangement principle, simple lively principles, activities to experience principles; and teaching strategies, including:the development of teaching objectives, a conscious expression of mathematical thinking, in the mathematical knowledge the occurrence of the process, timely penetration of mathematical thinking; in the master key Overcoming Difficulties in the conscious use of mathematical thinking; through "problem solving" to highlight and deepen thinking. Including:Integrates mathematics thinking method in the teaching preinstall; The feeling becomes aware mathematics thinking method in the observation imagination.Knows mathematics thinking method in the operation experience. In "question solution" in process applied mathematics thinking method. Combs the deepened mathematics thinking method through the knowledge.Achieves mastery through a comprehensive study in the synthesis practice application mathematics thinking method.Thus initially completed primary school teaching of mathematical thinking of the theoretical system. This article answers some extent how the elementary level, the current mathematical thinking and mathematics teaching materials linked to the problems of theoretical significance.