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《义务教育数学课程标准(2011年版)》(以下简称《课标(2011年版)》已把学生能获得数学的基本思想作为课程的“总目标”来要求[1],并且在“教材编写建议”中强调指出“教材在呈现相应的教学内容与思想方法时,应根据学生的年龄特征与知识积累,在遵循科学性的前提下,采用逐级递进、螺旋上升的原则[1]”.这就从宏观上向我们提出了应把数学思想作为教材编写的主线之一.
The Compulsory Education Mathematics Curriculum Standard (2011 Edition) (hereinafter referred to as the “Curriculum Standard (2011 Edition)” has asked the students to acquire the basic idea of mathematics as the “general goal” of the curriculum to request [1] Teaching materials to write “emphasis on teaching ” textbook in the presentation of the corresponding teaching content and methods of thinking, should be based on the characteristics of students’ age and accumulation of knowledge, follow the scientific premise, using gradual and progressive, spiraling principle [1] ". This macroscopically proposed to us one of the main lines that the mathematical thought should be written as a textbook.