有人认为数学很难，觉得以后很少使用到而不想学。
The thought of math being complicated and rarely useful deter certain students from learning the subject.
在数学哲学中，认为数学是从逻辑推导出来的一种论点。
In the philosophy of mathematics, the thesis that all mathematical propositions are expressible as or derivable from the propositions of pure logic.
作为一名学者，我认为数学是一门既有趣又引人入胜的科学。
As an academician , I think Mathematics is anintriguing and absorbing science.
许多专家都认为数学是学习其他科学技术的必备基础和先决条件。
Many experts recognize that mathematics is the necessary foundation and prerequisite of studying other science technology.
他可能认为数学是过于理论化，此领域的发现难以为人类产生直接的实际利益。
Mathematics was a field he may have considered too theoretical to produce the direct practical benefits to mankind whose discoverers he sought to reward.
我认为数学爱好者(数学家和真正的数学迷)也是这样阅读数学论文的。
I think that's how mathematically-inclined people (mathematicians and hobbyists) read math papers, or any old papers containing a lot of math.
然而，他反对柏拉图的观点，认为数学是人类文化的产物，与诸如音乐、法律、金钱等产物没有根本上的不同。
Nevertheless, he rejects the Platonic view, arguing instead that mathematics is a product of human culture, not fundamentally different from other human creations like music or law or money.
毫无疑问，这是一种与众不同的商业模式，同时也饱受争议。但是，阿维认为数学思维是有道理的。
It certainly is an unusual and a rather controversial business model, but according to Avy the math makes sense.
领导这项研究的蒙丽莎•里伯途斯说：“先前针对年纪更大的孩子做的研究让人们认为数学训练更有可能决定数字感。”
Dr Melissa Libertus, who led the study, said: "Previous studies testing older children left open the possibility that maths lessons determined number sense."
这种立场与柏拉图学派的观点不同。柏拉图学派的观点认为数学作为一个标准化知识体系，拥有存在的确定性和可靠的基本框架。
This position is in contrast to the Platonist viewpoint, which views mathematics as a unified body of knowledge with an ontological certainty and an infallible underlying structure.
除了接受测试以外，该项目的学生还被问及他们认为自己在数学和科学方面有多熟练。
In addition to being tested, students in the project were asked how proficient they thought they were in maths and science.
我认为我的成绩表明我在逻辑和数学方面也有一定的能力。
I think my results show that I have some ability in logic and in mathematics as well.
我在高中数学一直很差，所以我认为我以后大学会选文学专业。
I am always weak in math in high school, so I think I will choose to major in literature in college.
人们普遍认为，高智商的人能够很容易地抓住思想，做出区分，进行逻辑推理，并使用语言和数学符号来解决问题。
It is generally agreed that a person of high intelligence is one who can grasp ideas readily, make distinctions, reason logically, and make use of verbal and mathematical symbols in solving problems.
有些父母会购买任何高科技玩具，如果他们认为这对孩子有帮助，但研究人员表示，拼图有助于孩子学习数学相关技能。
Some parents will buy any high tech toy if they think it will help their child, but researchers said puzzles help children with math related skills.
一位老师特别热衷于将色彩和图片引入数学教材，他认为这能让在卡通文化中长大的学生更容易理解这些内容。
One teacher was particularly keen to introduce colour and pictures into maths textbooks: he felt this would make them more accessible to pupils brought up in a cartoon culture.
哈克认为，这样的课程可以弥补成年人在数字方面的盲点，这些人已经完成了像代数这样的高级数学，但却无法按面积计算出一块地毯的价格。
Such courses, Hacker argues, are a remedy for the numerical illiteracy of adults who have completed high-level math like algebra but are unable to calculate the price of a carpet by area.
哈克认为，这样的课程可以弥补成年人在数字方面的盲点，这些人虽然已经学习了像代数这样的高等数学，但却无法按面积计算出一块地毯的价格。
Such courses, Hacker argues, are a remedy for the numerical illiteracy of adults who have completed high-level math like algebra but are unable to calculate the price of, say, a carpet by area.
与其他哺乳动物相比，我们的数学天赋并不像许多人认为的那样非凡。
Compared with other mammals, our numerical instincts are not as remarkable as many assume.
它还增加了艺术创造的元素，来吸引新的一批可能不认为自己是“学数学的料”的学生。
It also adds the element of artistic creativity to attract a new pool of students who may not see themselves as "math people".
虽然这份工作要花费大量的时间，但大多数学生认为这段经历是值得的。
Although the job takes a significant amount of time, most students agree that the experience is worth it.
多数学者认为，少数民族企业主的投资资金主要依赖于家族资金和民族社区资源。
Most scholars agree that minority business owners have depended primarily on family funds and ethnic community resources for investment capital.
大多数学生喜欢这种新的方式，认为它很有趣。
过去，我认为我很多学科都很糟糕，比如数学、法语和科学。
In the past, I thought I was terrible at many things, such as math, French and science.
澳大利亚科学与数学学校的学生罗伊·斯托克斯说：“我不认为它们有三秒钟的记忆，因为动物需要记忆，这样它们就会随着时间的推移逐渐了解食物在哪里。”
"I don't believe that they had a three-second memory because animals need their memory, so they build up over time knowledge of where the food is," said Roy Stokes, a student at the Australian Science and Mathematics School.
通常来说，人们认为女人的数学能力不如男人出色(在美国如此)。
In general, females are believed to be less proficient in mathematics than males (in the case of the United States).
还有个例子，当我来到达达特茅斯时，我不认为我的数学很好。
When I arrived at Dartmouth, to name another example, I didn’t consider myself good at math.
许多同事都认为，除了数学之外他对任何事情都不感兴趣。
To many of his colleagues, he appeared uninterested in anything other than mathematics.
许多同事都认为，除了数学之外他对任何事情都不感兴趣。
To many of his colleagues, he appeared uninterested in anything other than mathematics.
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