在初等数学研究中加强数学思想方法教学具有重要意义，且现实可行。
It is of great importance and feasibility to teach the method of mathematics thought in the Study of Elementary mathematics.
在《初等数学研究》课程中开展研究性学习，是一项前所未有的教学改革实践。
Adopting Inquiry Learning in Elementary Mathematics Study course is a new teaching reform.
师范院校数学系的学生除了学习高等数学，还必须学习一定分量的利用高等数学研究初等数学的课程。
Student of mathematics in a normal University should not only learn higher mathematics but also take certain courses treating elementary mathematics at the level of higher mathematics.
从初等数学到高等数学，我们经常研究函数的最值问题。
From elementary mathematics to advanced mathematics, we have been studying the issue of the maximum and minimum of the function.
微积分研究的对象是函数，研究工具是极限，微积分概念的定义方式与以往学习的初等数学概念有本质的区别。
Functions are research objects of the calculus and limit is its research tool. The way to define the calculus concept differs distinctly from that of elementary mathematics.
文章给出一个研究哥德巴赫猜想的初等数学方法。
This paper gives a primary mathematical mathed to study Goldebach conjecture.
数学从萌芽时期开始，历经了初等数学时期、变量数学时期、近代数学时期和现代数学时期。人们已经从数学的内容、表现形式、作用等方面为研究数学的特点提供了框架。
People had already provided the frame for the research of mathematical characteristics from the aspects of the content, forms of expression, the role and the research procedure of mathematics.
数学从萌芽时期开始，历经了初等数学时期、变量数学时期、近代数学时期和现代数学时期。人们已经从数学的内容、表现形式、作用等方面为研究数学的特点提供了框架。
People had already provided the frame for the research of mathematical characteristics from the aspects of the content, forms of expression, the role and the research procedure of mathematics.
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