The study authors note that "throughout the history of mathematics, concepts of number and space have been tightly intertwined." now we know that the connection even occurs in our brains.
这篇文章的作者写道“纵观数学史，数字的概念一直与空间的概念纠缠不清”，现在我们知道它们的联系是由大脑的构造决定的。
Without a pause we donned our tunics on our dusty bodies, and started on our courses of literature, mathematics, geography and history.
操练完毕，还没抖掉身上的灰尘，我们就得披上外褂，开始读文学、数学、地理和历史。
A thesis can be dozens of pages in mathematics, or manyhundreds in history.
一篇数学的学术论文一有很多页，历史类的学术论文则会有上百页。
A thesis can be dozens of pages in mathematics, or many hundreds in history.
数学论文几十页就够了，而历史学论文要数百页。
The former Cambridge University Lucasian Professor of Mathematics, a post once also held by Isaac Newton, has a history of drawing criticism for his comments on religion.
他曾担任剑桥大学卢卡斯数学教授。艾萨克·牛顿也曾担任这一职务。
However, the same is true of almost any intellectual pursuit: philosophy is no different in this respect from physics, literary criticism, computer programming, geology, mathematics, or history.
然而，几乎任何学术追求，也都是如此：在这个方面，哲学与物理学、文学批评、计算机编程、地质学、数学或者历史并无不同之处。
China has been a remarkable part of world history for thousands of years-in science, in mathematics, in literature and in the constant churn and evolution of civilization.
在几千年的历史长河中，不论在科技，数学，文学还是不断变迁的世界文明的演化中，中国一直是令人赞叹。
This paper expounds the production of the Chinese version of Euclid's Geometry, its basic content structure and important contribution to Mathematics and the human civilized history.
阐述了欧几里德《几何原本》中译本的产生、基本内容结构及其在数字与人类文明史上的重要贡献。
For a long period of the history of mathematics, the centric place of mathematical methods was occupied by the logical deductions.
在数学史的的很长时间内，逻辑推理一直占据数学方法的中心地位。
Classrooms are designed with different areas of learning, each with its own focus: practical life, sensorial, language, mathematics, geography, art, music, science, history and nature study.
新里程不同教室有用在不同领域的学习，不同的重点：现实生活，感官，语言，数学，艺术，音乐，自然科学。
Most academic subjects have a philosophy, for example the philosophy of science, the philosophy of mathematics, the philosophy of logic, the philosophy of law, and the philosophy of history.
大多数学科有自己的哲学，举例来说，科学哲学、数学哲学、逻辑哲学、法律哲学和历史哲学。
Mathematics curriculum criterion stresses the role of history of mathematics in mathematics education.
数学课程标准强调数学史在数学教育中的作用。
The history of mathematics has many mathematicians, but is a mathematician and math educators but very few.
数学史有许多数学家，但是是一个数学家又是数学教育工作者很少。
This paper introduces the significance of the Galileo's mathematics-experiment science method, and affirm Galileo's position onthe history of science development.
介绍了伽利略所开创的数学—实验科学方法的意义，肯定了伽利略在科学史上的地位。
As a mathematics monograph prior to the Nine Chapters on Mathematical Procedures, the Suanshushu is of great value to study Chinese ancient history of mathematics.
《算数书》作为一部比《九章算术》还要早的数学专著，对于中国古代数学史的研究具有重要价值。
Mathematics educators and teachers at home and abroad attach great importance to using lifesome examples in the mathematics history to enlighten and cultivate the thinking ability of the students.
国内外许多数学教育家和数学教师都十分重视在数学教学运用数学史的生动事例启发和培养学生的思维能力。
In the history of the western culture, mathematics once had both appliance function in terms of technique and interpretation function in terms of ideology.
在西方文化史上，数学曾经既具有技术层面的应用性功能，也具有思想意识层面的解释性功能。
A central theme of the subject is the intertwining of conceptual and institutional relations within diverse areas of inquiry: cosmology, natural history, physics, mathematics, and medicine.
课程中心主题之一是在探讨各种研究领域(宇宙学、自然历史、物理、数学和医药)概念间的交互影响与结构关系。
The combination of mathematics philosophy and mathematics history with mathematics teaching has become a hot topic of mathematics teaching in the world.
数学哲学、数学史与数学教学有机结合，已成为当今世界数学教学的热点问题。
Some relative results are given on the basis of investigation and analysis of material relation between history of mathematics and mathematics education.
通过对有关数学史与数学教育实质联系的调查和分析，得到了一些相关结果。
Three times of crisis in the history of mathematics is caused by mathematical paradox.
数学史上的三次危机都是由数学悖论引起的。
Famous ancient Greek mathematician Haipa be required to rely on the irrational Hughes found that the first mathematical crisis led to the history of mathematics.
著名古希腊数学家海帕修斯依靠反证法对的无理性的发现，导致了数学史上第一次数学危机。
In this article, I elaborate the history status, the general method, the correlative branches of mathematics and the typical illustrations about mathematics applied in the field of law.
本文着重论述的是数学应用于法律领域的历史状况、一般方法、相关数学分支及典型例证。
With the development of new courses in the country, the educational department are paying more attention to the history of mathematics and mathematics cultural education.
随着新课程在全国的推进，数学史和数学文化教育正日益受到教育部门的重视。
From the history of mathematics education, teachers in the ancient time were the primeval designers, practitioners and researchers of the curriculum.
从数学教育史的角度看，我国古代教师是一种原始状态下的课程设计者、实践者、研究者；
The history of mathematics is wisdom of mathematics through space-time.
数学史是穿越时空的数学智慧。
The study authors note that "throughout the history of mathematics, concepts of number and space have been tightly intertwined. " Now we know that the connection even occurs in our brains.
这篇文章的作者写道“纵观数学史，数字的概念一直与空间的概念纠缠不清”，现在我们知道它们的联系是由大脑的构造决定的。
Q: Philosophy has a long history of alternately including and then excluding mathematics.
问：哲学经历了一个漫长的历史变迁：它曾经包括，后来又排除了数学。
Q: Philosophy has a long history of alternately including and then excluding mathematics.
问：哲学经历了一个漫长的历史变迁：它曾经包括，后来又排除了数学。
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