Study On Presentation Of Equation Thought In The Primary Mathematics Textbook

In the overall goal of the Compulsory Education Mathematics Curriculum Standards (2011Edition)"require students to obtain the basic knowledge necessary to adapt to the social life and the further development of mathematics, basic skills, the basic idea and basic activities experience. With the changes in the2011version of the curriculum standards, particular emphasis on the basic idea of the mathematical, compulsory education curriculum standard textbook will be revised based on the curriculum standards of the original version, this requires an objective understanding of what is worth learning place and the need to modify the place of the original version of the textbook embodies mathematical thinking.Mathematics textbooks now used in China’s primary and secondary schools, a total of six versions, The selection of the three versions of the widespread use of the "BNUP","PEP" and "JSEP" as the object of study. Equation and thought to understand the2011version of the curriculum standards, taking into understanding of Professor Shi Equation and thought, the theoretical basis of this study.Equation of thought has a wealth of meaning, but the core ideas of the equation is a method of modeling ideas and Naturalization, modeling ideology is listed in One equation focus, A complete modeling process to go through from the problems found various amount as well as the same amount of relationship, and then use the equation to express the relationship between the number of the last expression of the same amount of equations containing unknown relationship to the symbolic language to express the same amount. Naturalization is the key to solve the equation, converted to before the problem can be solved, using the previous algorithm to solve the new problems that you want; it will simplify the complex, unfamiliar problem familiar.This study by comparing the two editions of the curriculum standards, a clear representation of equation and thought occurs which changes; The basis for the establishment of the equation model should experience the same amount related to the equation expressed the same amount relationship to the symbolic language expressed the same amount last to the equation with unknowns expressed unknown four steps from the problems found, divided into four levels, the degree equation model presented in the textbook thinking, And as a basis for analysis of the advantages and disadvantages of the three editions of textbooks presented various versions of the equation model ideas presented equation model ideas; Basis of normalized method is to simplify complex issues, The strange familiar with the principles of content analysis of the three editions of textbooks equation Naturalization method presented comparative study.The study found:1.Three editions of textbooks on equation model thought has embodied in the BNUP textbook equation model thinking grade average up to three basic rendering equation model ideology, equation model of thinking takes the lowest level of2.5for JSEP materials, rendering and basic presentation between the thinking part of the equation model. PEP materials presented in equation model thought up to6.2. In the introduction of the basic nature of the equation, the three versions of the teaching materials are the embodiment of the equation of Transformation, BNUP and PEP materials presents a method to solve the equation using the arithmetic method, focusing on the diversity of the methods of solving equations. For JSEP reflect the equation of Transformation, which mainly use the basic nature of the first equation can be solved unknown materials did not show how to solve more complex equations. For Jiangsu materials not only through the examples presented equation of Transformation equation of Transformation in the exercises.3. BNUP textbook in the meaning of the equation section presents the model that is more conducive to students thinking.4."Compulsory education mathematics curriculum standards (2011edition)" pay more attention to the importance of mathematical thinking, at the same time, the equation model of thought given to the presentation and analysis, but also asked the mathematics curriculum should develop the students to seek a reasonable and simple arithmetic way to solve the problem computing power.5."Compulsory education mathematics curriculum standards (2011edition)" equation the fundamental nature of the requirements is to understand, to require decreased relative to the curriculum standard draft understand the basic nature of the equation. Also increased the concrete situation, understand the common quantitative relationship; require students to understand the equivalent relation on the basis of the number of letters with the letters.6.Least three editions of textbooks, courses capacity for Jiangsu textbook equation, the difficulty is the lowest, which will indirectly affect the textbook equation thinking extent.Recommendations for improvement:1.Textbook in rendering equation model of thinking, only pay attention to the integrity of the process of "modeling" With further study, pay attention to the gradient.2. The overall design of the textbooks on the part of the exercises of the column equation can refer to a complete modeling process to go through four exercises designed as a whole has a certain level.3. Materials in the introduction of the basic nature of the equation solving equations, pay attention to the diversity of the algorithm, especially with the students to master arithmetic wears contact.4.BNUP textbook and PEP materials not only by example to render the equation of Transformation for Jiangsu materials can also learn in solving equations of exercises designed to further improve the teaching materials.