“我打算把它留给那些研究数学的人，让他们想办法使自己的学科变得有趣和令人兴奋，这样学生们就会想学它。”哈克说。
"I'm going to leave it to those who are in mathematics to work out the ways to make their subject interesting and exciting so students want to take it," Hacker says.
研究数学美的教学具有重要意义。
他把研究数学作为业余爱好。
用属性识别的理论研究数学质量的指标体系。
Index system in mathematical quality is studied with attribute recognition theory.
同快速计算器的一次接触，激励他去研究数学。
A contact with a lightning calculator inspired him to study mathematics.
他正研究数学问题。
本文旨在研究数学教育与人文教育相整合的问题。
The article is mainly about the problem of combination of mathematical education and humanitarian education.
基于此种原因，研究数学教学学习的高效性就显得很有必要了。
According to this kind of reason, It is necessary to have a research on the high effetion of mathematics' teaching.
另一方面，很多人相信孩子们研究数学难题是没必要也是违反自然的。
On the other hand, many people believe that it is unnecessary and unnatural for children to study difficult math problems.
本文主要研究数学言语及在数学教学中如何培养学生的数学言语能力。
In this paper, mathematical speech and how to cultivate students' ability of mathematical speech are mainly studied.
在深入研究数学形态学的基础上，提取了一种灰度图像车牌字符提取算法。
Through studying the mathematical morphology thoroughly, a novel license plate character extraction algorithm for the gray image is proposed.
文章第三部分分析影响数学直觉思维的因素，研究数学直觉思维的培养策略。
In the third section, the paper researches the cultivating strategy of the mathematical intuition thinking by analyzing the factor of influencing the mathematical intuition thinking.
本文旨在研究数学建模在中等职业学校研究性学习中应用的意义、理论和实践。
The aim of the thesis is to study significance, theory and practice of application for secondary vocational study of mathematics modeling.
研究数学问题意识、问题提出的一般理论，对它的涵义进行界定，分析它的特征和因素。
This paper studies the awareness of maths problems and concept of raising problems. It also defines this theory and analyzes its features and factors.
从数学哲学、数学教育学、心理学等多重视角深入探讨、分析、研究数学教学模式的理论基础。
Discuss, analysis and research the theoretic basis of the mathematics teaching models from the viewpoints of mathematics philosophy, mathematics education and psychology.
如果数学是对纯理念王国的感知的话，那么研究数学就需要让自己的大脑以某种方式抵达现实世界之外的某地。
If mathematics is the perception of this realm of pure ideas, then doing mathematics requires our brains to somehow reach beyond the physical world.
迪对这部书很感兴趣，因为他自己就积极地研究法术，他当传教士是为了掩人耳目，不让人发现他在研究数学。
The text was particularly interesting for Dee because he was actively engaged in spirit magic and was an evangelist for the fledgling science of mathematics.
假如米开朗基罗被迫研究数学而不被允许去追求他的艺术，这世界居住起来将一定会是个不怎么美丽的场所。
If Michelangelo had been forced to study mathematics rather than allowed to pursue his artistry, the world would certainly be a less beautiful place in which to live.
我的眼睛不是只来研究数学和物理的，他是来告诉我前方是光明的。我的腿不是来走路去学校的，是用来踏上梦想的征程。
My eyes is not a comes to research mathematics and physics, he is to tell in front of me to is bright. My leg is not to on foot to school, is use to step on to dream of of advertise for a distance.
数学教育心理国际研讨组在1989年专门成立了研究小组，这个小组称为表征研究工作小组，主要研究数学表征的有关问题。
The international group for the psychology of mathematics education (PME), set up a study group, the group known as representation working group to mainly study mathematics representation in 1989.
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.
它使用定量数据和数学模型作为分析工具，研究这些物体在过去、现在和未来的数量。
It studies these populations, in the past, present and future, using quantitative data and mathematical models as tools of analysis.
它使用定量数据和数学模型作为分析工具，研究这些人口在过去、现在和未来的情况。
It studies these populations in the past, present and future using quantitative data and mathematical models as tools of analysis.
没有一点数学知识是不能开展严谨的物理学研究的。
A serious study of physics is impossible without some knowledge of mathematics.
研究表明，如果给定15分钟的自由玩耍时间，四到五岁的孩子会将其中三分之一的时间花在有关空间、数学和建筑的活动上。
Research shows that given 15 minutes of free play, four- and five-year-olds will spend a third of this time engaged in spatial, mathematical, and architectural activities.
研究表明，男孩通常比女孩在科学上表现更好，但他们在数学上几乎没有差别。
The study shows that boys generally did better than girls in science, but there was little difference between them in maths.
该研究未能证实舍伦贝格的发现，没有提出证据证明音乐课提高了数学和读写能力。
That study failed to confirm Schellenberg's findings, producing no evidence that music lessons improved math and literacy skills.
长期以来，舍伦贝格一直质疑科学研究所支持的这一说法：音乐教育提高儿童的抽象推理、数学或语言能力。
Schellenberg had long been skeptical of the science supporting claims that music education enhances children's abstract reasoning, math, or language skills.
然而，如果研究人员以非数学的方式编制一份问卷，他们想将那些反映所有相关文化所熟悉的概念的问题包括在内。
If, however, the researchers construct a questionnaire in an etic fashion, they want to include questions that reflect concepts familiar to all cultures involved.
然而，如果研究人员以非数学的方式编制一份问卷，他们想将那些反映所有相关文化所熟悉的概念的问题包括在内。
If, however, the researchers construct a questionnaire in an etic fashion, they want to include questions that reflect concepts familiar to all cultures involved.
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