"The Number Shape" Thoughts In The Elementary School Mathematics Teaching Application Research

Mathematics thought is about the law of the nature of mathematical science and rational knowledge. Several form combining ideas has a long history, is an important part of mathematics thought, is to "count" and "shape" organic union, with the help of a "number" of rigor and "shape" of visual help students to learn and solve mathematical problems. In elementary school, the number form combining ideas is not only a kind of important mathematics thought, is also a kind of important method to solve the problem. It according to the corresponding relationship between Numbers and forms, for the mutual transformation of Numbers and forms, to show its long Numbers and forms, complement each other, mutual help students to realize the construction of the elementary school mathematics knowledge and methods, the development of students’ mathematical thinking ability, is the student form concept, to resolve the difficulty and the good helper to solve the problem. "The number form combining ideas" mainly through "to help the number" and "to the number of auxiliary" two ways. "To help form number" is mainly used in the understanding of the concept of(including the integer, decimal, fractions), calculation in the teaching of practical reason of comprehension, analysis and understanding of the question in the question solution. With several auxiliary form is mainly used in the understanding of the graphics features, deduces the formula of graphics and graphic regular search. Number form combining ideas in the primary school teaching materials have obvious hierarchy, starting from the first grade of intuitive to work, to the sixth grade flexible application of the line segment, has experienced several lines, sketch, ideas during figure, digital number form(coordinates) in combination with comes in. Primary school students in the cultivation of the number form combining ideas mainly embodies in number form consciousness on the construction and use. Students through their conscious penetration and training class, to understand the nature of the number form combining, master the number form combining method, combined with the application number form and the method to solve the problem. This article from "the number form combining ideas" concept of development, produce, and presentation of primary school teaching materials, training objectives, and implementation of the strategy has carried on the detailed analysis and explanation, to combine number form for primary school mathematics thinking method and the effective teaching contents. Teachers should let the students in the classroom after the activity, such as observation, operation, mathematical knowledge production, formation, development process, realize the essence of mathematics knowledge, effectively improve the students’ mathematical quality, causes the student to become lifelong learners; Mathematical wisdom, can become a self adjusting mathematical thinker and problem solver.