四级Another group of helpless children who were simply rewarded for their success on easier problems did not improve their ability to solve hard math problems.

另一组无助的孩子仅仅因为他们在较容易的问题上取得了成功而得到奖励，但并没有提高他们解决数学难题的能力。

2016年12月阅读原文

六级Nor is the global economy forgiving of an American workforce with increasingly weak literacy, math and science abilities.

全球经济也不能原谅识字、数学和科学能力日益薄弱的美国劳动力。

2015年12月阅读原文

四级The author conducted an experiment to find out about the influence of students' mind-sets on math learning.

作者通过实验研究了学生的思维定势对数学学习的影响。

2016年12月阅读原文

四级For instance, talking about mathematical geniuses who were more or less born that way puts students in a fixed mind-set, but descriptions of great mathematicians who fell in love with math and developed amazing skills produce a growth mind-set.

例如，谈论或多或少与生俱来的数学天才会让学生产生固定的思维定势，但对热爱数学并发展出惊人技能的伟大数学家的描述会产生一种成长的思维定势。

2016年12月阅读原文

六级These math circles cost nothing, or they're very cheap for students to get involved in, but you have to know about them, said Rusczyk.

Rusczyk说：“这些数学圈不花钱，或者学生参与其中的成本很低，但你必须了解它们。”。

2017年6月阅读原文

六级Teachers in low-income urban and rural areas with no history of participating in math competitions may not know about advanced-math opportunities like MathCounts—and those who do may not have support or feel trained to lead them.

在低收入的城市和农村地区，没有参加过数学竞赛的历史的教师可能不知道像MathCounts这样的高等数学机会，而那些不知道的教师可能得不到支持，或者觉得没有受过训练来领导他们。

2017年6月阅读原文

六级Only about 50 students are invited based on their performance on written tests and at the USA Math Olympiad.

根据学生在笔试和美国数学奥林匹克竞赛中的表现，只邀请了大约50名学生。

2017年6月阅读原文

四级In a review of 14 studies that looked at physical activity and academic performance, investigators found that the more children moved, the better their grades were in school, particularly in the basic subjects of math, English and reading.

在对14项研究的回顾中，调查者发现，孩子们活动越多，他们在学校的成绩越好，尤其是在数学、英语和阅读等基础科目上。

2016年6月四级真题（第三套）阅读 Section A

六级Students in university towns may also have access to another lever for involvement in accelerated math: math circles.

大学城的学生也可以利用另一个杠杆参与加速数学：数学圈。

2017年6月阅读原文

六级But there are initiatives in place to try to get more underrepresented students involved in accelerated math.

但也有一些举措试图让更多代表性不足的学生参与加速数学。

2017年6月阅读原文

四级David Hunt, an associate professor in sociology at Augusta University, which has rolled out digital textbooks across its math and psychology departments, told BuzzFeed News that he understands the utility of using systems that require access codes.

奥古斯塔大学（Augusta University）社会学副教授大卫·亨特（David Hunt）在其数学和心理学系推出了数字教科书。他告诉BuzzFeed News，他理解使用需要访问码的系统的效用。

2018年6月四级真题（第三套）阅读 Section B

六级Math circles provide students with access to advanced-math training by university professors.

数学圈为学生提供大学教授提供的高等数学培训。

2017年6月阅读原文

六级According to Mark Saul, the director of competitions for the Mathematical Association of America, not a single African-American or Hispanic student—and only a handful of girls—has ever made it to the Math Olympiad team in its 50 years of existence.

据美国数学协会竞赛主管马克·索尔（Mark Saul）说，在数学奥林匹克队成立50年的时间里，没有一个非裔美国人或西班牙裔学生，只有少数女孩进入过该队。

2017年6月阅读原文

六级Less inherently interpersonal subjects, such as math, could acquire a social aspect through team problem solving and peer tutoring.

像数学这样的人际关系较差的学科，可以通过团队解决问题和同伴辅导获得社会方面的知识。

2018年6月六级真题(第二套)阅读 Section B

六级Schools or teachers who sign up for the National Math Club receive a kit full of activities and resources, but there's no special teacher training and no competition attached.

注册国家数学俱乐部的学校或教师将获得一整套活动和资源，但没有特殊的教师培训，也没有附加竞赛。

2017年6月阅读原文

六级It also adds the element of artistic creativity to attract a new pool of students who may not see themselves as math people.

它还增加了艺术创造力的元素，吸引了一批可能不把自己视为数学人的新学生。

2017年6月阅读原文

六级In the past few years, MathCounts added two new middle school programs to try to diversify its participant pool—the National Math Club and the Math Video Challenge.

在过去的几年里，MathCounts增加了两个新的中学项目，试图使其参与者群体多样化——国家数学俱乐部和数学视频挑战赛。

2017年6月阅读原文

六级The summer program run by a nonprofit organization has helped many underserved students learn advanced math.

一个非营利组织举办的暑期计划帮助了许多服务水平低下的学生学习高等数学。

2017年6月阅读原文

六级The summer after 7th grade, students spend three weeks on a college campus studying advanced math for seven hours a day.

七年级后的夏天，学生们在大学校园里花了三周的时间每天学习七个小时的高等数学。

2017年6月阅读原文

六级Middle school is an important age because students have enough math capability to solve advanced problems, but they haven't really decided what they want to do with their lives, said Loh.

Loh说，中学是一个重要的年龄，因为学生有足够的数学能力来解决高级问题，但他们还没有真正决定自己的人生目标。

2017年6月阅读原文

六级But efforts are in place to expose more black, Hispanic, and low-income students to advanced math, in the hope that the demographic pool of high-level contenders will eventually begin to shift and become less exclusive.

但目前正在努力让更多黑人、西班牙裔和低收入学生学习高等数学，希望高水平竞争者的人口结构最终将开始转变，不再那么排外。

2017年6月阅读原文

六级"middle school is an important age because students have enough math capability to solve advanced problems, but they haven't really decided what they want to do with their lives," said Loh.

“中学是一个重要的年龄，因为学生们有足够的数学能力来解决高级问题，但他们还没有真正决定他们想要做什么，”陆说。

2017年6月六级真题（第三套）阅读 Section B

六级Andrew Hacker, Queens College political science professor, thinks that advanced algebra and other higher-level math should be cut from curricula in favor of courses with more routine usefulness, like statistics.

皇后学院政治学教授安德鲁·哈克（Andrew Hacker）认为，高等代数和其他更高层次的数学应该从课程中删去，而改为更实用的课程，如统计学。

2018年12月六级真题（第二套）阅读 Section C

六级Students may take advantage of online resources to learn to solve math problems.

学生可以利用在线资源学习解决数学问题。

2017年6月阅读原文

四级We validated these expectations in a study in which two other psychologists and I monitored 373 students for two years during the transition to junior high school, when the work gets more difficult and the grading -102- more strict, to determine how their mind-sets might affect their math grades.

我们在一项研究中验证了这些期望。在这项研究中，我和另外两位心理学家对373名学生进行了为期两年的监控，在他们进入初中的过程中，学习变得更加困难，102级的成绩也变得更加严格，以确定他们的思维定势可能会如何影响他们的数学成绩。

2016年12月阅读原文

六级But will such contests, which are overwhelmingly dominated by Asian and white students from middle-class and affluent families become any more diverse? Many social and cultural factors play roles in determining which promising students get on the path toward international math recognition.

但是，这样的竞赛——绝大多数由来自中产阶级和富裕家庭的亚裔和白人学生主导——会变得更加多样化吗？许多社会和文化因素在决定哪些有前途的学生走上国际数学认可的道路上发挥着作用。

2017年6月阅读原文

四级She said, "I started Engineering For kids EF after noticing a real lack of math, science and engineering programs to enroll my own kids in.

她说：“我在注意到我自己的孩子真正缺乏数学、科学和工程课程后，开始为孩子们设计EF。

2017年12月四级真题（第二套）阅读 Section A

六级Students attend after-school clubs, summer camps, online forums and classes and university-based math circles, to prepare for the competitions.

学生们参加课外俱乐部、夏令营、在线论坛、课堂和大学数学圈，为比赛做准备。

2017年6月阅读原文

六级After the high-pressure Countdown round at this year's national MathCounts competition, in which the top 12 students went head to head solving complex problems in rapid fire, the finalists for the Math Video Challenge took the stage to show their videos.

在今年全国数学竞赛的高压倒计时回合中，排名前12位的学生在速射中面对面解决复杂问题，之后，数学视频挑战赛的决赛选手上台展示了他们的视频。

2017年6月阅读原文

六级After the high-pressure Countdown round at this year's national Math Counts competition, in which the top 12 students went head to head solving complex problems in rapid fire, the finalists for the Math video Challenge took the stage to show their videos.

在今年全国数学计数竞赛的高压倒计时回合中，排名前12位的学生在速射中面对面解决复杂问题，数学视频挑战赛的决赛选手上台展示了他们的视频。

2017年6月六级真题（第三套）阅读 Section B

六级There are also dozens of summer camps—many attached to universities—that aim to prepare elite math students.

还有几十个夏令营，许多都附属于大学，旨在培养数学精英学生。

2017年6月阅读原文

六级A New York City-based nonprofit called Bridge to Enter Mathematics runs a residential summer program aimed at getting underserved students, mostly black and Hispanic, working toward math and science careers.

纽约市一家名为Bridge to Enter Mathematics的非营利组织开办了一个暑期住宿项目，旨在让服务不足的学生，主要是黑人和西班牙裔，从事数学和科学事业。

2017年6月阅读原文

高考All of a sudden, I started making money because I was really good at math.

突然间，我开始赚钱，因为我数学很好。

2018年高考英语浙江卷 听力 原文

六级Hacker's argument has met with opposition from other math educators who say what's needed is to help students develop a better relationship with math earlier, rather than teaching them less math altogether.

哈克的观点遭到了其他数学教育工作者的反对，他们说，我们需要的是帮助学生更早地发展与数学的关系，而不是教他们更少的数学。

2018年12月六级真题（第二套）阅读 Section C

六级It's a fact not lost on American educators, who amid rising math failure rates are debating how math can better meet the real-life needs of students.

美国教育工作者并没有忘记这一事实，在数学失败率不断上升的情况下，他们正在辩论数学如何更好地满足学生的现实生活需要。

2018年12月六级真题（第二套）阅读 Section C

六级The Math Olympiad Summer Training Program is a three-week math camp held by the Mathematical Association of America that leads straight to the international championship and is free for those who make it.

数学奥林匹克夏季训练计划是由美国数学协会举办的一个为期三周的数学夏令营，它直接通向国际锦标赛，对成功者免费。

2017年6月阅读原文

六级The Los Angeles Math Circle, held at the University of California, Los Angeles, began in 2007 with 20 students and now has more than 250.

洛杉矶数学圈在洛杉矶加利福尼亚大学举行，始于2007，有20名学生，现在有超过250名学生。

2017年6月阅读原文

六级Teams of four students make a video illustrating a math problem and its real-world application.

由四名学生组成的小组制作一个视频，演示数学问题及其在现实世界中的应用。

2017年6月阅读原文

六级Over the next five years, the group helps the students get into other elite summer math programs, high-performing high schools, and eventually college.

在接下来的五年里，该小组帮助学生进入其他精英暑期数学课程、高绩效高中，最终进入大学。

2017年6月阅读原文

六级Interest in elite high school math competitions has grown in recent years, and in light of last summer's U.S. win at the International Math Olympiad ( ' , IMO)—the first for an American team in more than two decades— the trend is likely to continue.

近年来，人们对高中数学竞赛的兴趣与日俱增，鉴于去年夏天美国队在国际数学奥林匹克运动会（IMO）上获胜——这是美国队20多年来首次获胜——这种趋势可能会持续下去。

2017年6月阅读原文

四级Support Bill Perry's pub, and any other bar or restaurant that doesn't ask you to do drunken math.

支持比尔·佩里（Bill Perry）的酒吧，以及任何其他不要求你做醉酒数学的酒吧或餐馆。

2016年12月阅读原文

六级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.

哈克认为，这样的课程是对成年人数字文盲的一种补救，他们已经完成了像代数这样的高级数学课程，但无法计算地毯的价格。

2018年12月六级真题（第二套）阅读 Section C

四级In a recent art assignment, a middle school student depicted an overburdened child who was being scolded for earning an A, rather than an A+, on a math exam.

在最近的一次艺术作业中，一名中学生描绘了一个负担过重的孩子，他因为数学考试得a而不是a+而被责骂。

2018年6月四级真题（第一套）阅读 Section B

四级No matter how the math works out, you persistently view restaurants with voluntary tipping systems as being a better value, which makes it extremely difficult for restaurants and bars to do away with the tipping system.

不管数学计算结果如何，你都会坚持认为拥有自愿付小费制度的餐馆更有价值，这使得餐馆和酒吧很难废除小费制度。

2016年12月阅读原文

四级Hi, Susan! You’re looking very smart today! There is new data out today that confirms that many Americans are not good at math, and when it comes to everyday technology skills, we are dead last when compare to other developed countries.

嗨，苏珊！你今天看起来很聪明！xa0今天公布的新数据证实，许多美国人不擅长数学，而在日常技术技能方面，与其他发达国家相比，我们排在最后。

2017年6月听力原文

四级At the start of junior high, the math achievement test scores of the students with a growth mind-set were comparable to those of students who displayed a fixed mind-set.

在初中开始时，具有成长思维定势的学生的数学成绩测试分数与那些表现出固定思维定势的学生相当。

2016年12月阅读原文

六级Students attend after-school clubs, summer camps, online forums and classes and university-based "math circles," to prepare for the competitions.

学生们参加课外俱乐部、夏令营、在线论坛和课堂以及大学的“数学圈”，为比赛做准备。

2017年6月六级真题（第三套）阅读 Section B

六级Elite high school math competitions are attracting more interest throughout the United States.

美国各地的精英高中数学竞赛吸引了更多的兴趣。

2017年6月阅读原文

四级In the author's experiment, students with a growth mind-set showed greater perseverance in solving difficult math problems.

在作者的实验中，具有成长思维定势的学生在解决数学难题时表现出更大的毅力。

2016年12月阅读原文

六级Maria Droujkova is a founder of Natural Math, and has taught basic calculus concepts to 5-year-olds.

玛丽亚·杜洛伊科娃是自然数学的创始人，她曾向5岁的孩子传授微积分的基本概念。

2018年12月六级真题（第二套）阅读 Section C

六级The Math Video Challenge is a competition, but a collaborative one.

数学视频挑战赛是一场比赛，但也是一场合作赛。

2017年6月阅读原文

四级When I told a group of school children who displayed helpless behavior that a lack of effort led to their mistakes in math, they learned to keep trying when the problems got tough.

当我告诉一群表现出无助行为的学童，缺乏努力导致了他们在数学上的错误时，他们学会了在问题变得棘手时继续努力。

2016年12月阅读原文

四级As a result, their math grades overtook those of the other students by the end of the first semester—and the gap between the two groups continued to widen during the two years we followed them.

结果，他们的数学成绩在第一学期末超过了其他学生，在我们跟踪他们的两年中，这两组学生之间的差距继续扩大。

2016年12月阅读原文

四级For instance, talking about mathematical geniuses who were more or less born that way puts students in a fixed mindset, but descriptions of great mathematicians who fell in love with math and developed amazing skills produce a growth mind-set.

例如，谈论或多或少与生俱来的数学天才会让学生们有一种固定的心态，但对热爱数学并发展出惊人技能的伟大数学家的描述会产生一种成长心态。

2016年12月四级真题（第二套）阅读 Section B

六级One of the largest feeders for high school math competitions—including those that eventually lead to the IMO—is a middle school program called MathCounts.

高中数学竞赛（包括最终进入国际海事组织的竞赛）的最大反馈者之一是一个名为MathCounts的中学项目。

2017年6月阅读原文

高考Since 1962 pacific science center has been inspiring a passion for discovery and lifelong learning in science, math and technology.

自1962年以来，太平洋科学中心一直在激发人们对科学、数学和技术的发现和终身学习的热情。

2017年高考英语全国卷1 阅读理解 阅读A 原文

四级It poses a great challenge for customers to do math.

这对客户来说是一个巨大的挑战。

2016年12月阅读原文

六级In the past few years, Math Counts added two new middle school programs to try to diversify its participant pool—the National Math Club and the Math video Challenge.

在过去的几年里，Math Counts增加了两个新的中学项目，试图使其参与者群体多样化——国家数学俱乐部和数学视频挑战赛。

2017年6月六级真题（第三套）阅读 Section B

六级"These math circles cost nothing, or they're very cheap for students to get involved in, but you have to know about them," said Rusczyk.

Rusczyk说：“这些数学圈不花钱，或者对学生来说参与起来很便宜，但你必须了解它们。”。

2017年6月六级真题（第三套）阅读 Section B

四级There is new data out today that confirms that many Americans are not good at math, and when it comes to everyday technology skills, we are dead last when compare to other developed countries.

今天公布的新数据证实，许多美国人不擅长数学，而在日常技术技能方面，与其他发达国家相比，我们排在最后。

2017年6月四级真题（第一套）听力 Section B

六级Winners of local contests will participate in the national math competition for free.

当地竞赛的获胜者将免费参加全国数学竞赛。

2017年6月阅读原文

六级Contestants of elite high school math competitions are mostly Asian and white students from well-off families.

精英高中数学竞赛的参赛者大多是来自富裕家庭的亚裔和白人学生。

2017年6月阅读原文

六级For Droujkova, high-level math is important, and what it could use in American classrooms is an injection of childlike wonder.

对杜洛伊科娃来说，高水平的数学很重要，而它在美国课堂上的作用是注入孩子般的惊奇。

2018年12月六级真题（第二套）阅读 Section C

四级If you look at data about reading and math, you'll notice something interesting.

如果你看看阅读和数学方面的数据，你会发现一些有趣的事情。

2017年6月四级真题（第一套）听力 Section B

四级I designed an eight-session workshop for 91 students whose math grades were declining in their first year of junior high.

我为91名初中一年级数学成绩下降的学生设计了一个八课时的工作坊。

2016年12月阅读原文

六级In the America of our own time, the great educational challenge has become an effort to strengthen the teaching of what is now known as the STEM disciplines (science, technology, engineering, and math).

在我们这个时代的美国，巨大的教育挑战已经变成了加强STEM学科（科学、技术、工程和数学）教学的努力。

2010年12月阅读原文

六级Harris says that American education is suffering from an epidemic of "fake math"—an emphasis on the rote memorization of formulas and steps, rather than an understanding of how math can influence the ways we see the world.

哈里斯说，美国教育正在遭受“假数学”的流行——强调死记硬背公式和步骤，而不是理解数学如何影响我们看待世界的方式。

2018年12月六级真题（第二套）阅读 Section C

六级Should we change the way math is taught in schools, or eliminate some courses entirely?

我们应该改变学校的数学教学方式，还是完全取消一些课程？

2018年12月六级真题（第二套）阅读 Section C

六级One of the largest feeders for high school math competitions—including those that eventually lead to the IMO— is a middle school program called Math Counts.

高中数学竞赛（包括最终进入国际数学组织的竞赛）的最大反馈源之一是一个名为“数学计数”的中学项目。

2017年6月六级真题（第三套）阅读 Section B

高考You know how to work out everything with math is so important.

你知道如何用数学解决所有问题是很重要的。

2018年高考英语全国卷I 听力 原文

四级If you hear that yours isn't doing well in math, or see them sitting outside the dean's office, it's like a personal failure.

如果你听说你的学生数学成绩不好，或者看到他们坐在院长办公室外面，那就像是个人的失败。

2012年6月阅读原文

六级Teachers in low-income urban and rural areas with no history of participating in math competitions may not know about advanced-math opportunities like Math Counts—and those who do may not have support or feel trained to lead them.

在低收入的城市和农村地区，没有参加过数学竞赛的历史的教师可能不知道数学计数等高等数学机会，而那些不知道的教师可能得不到支持，或者觉得没有受过训练来领导他们。

2017年6月六级真题（第三套）阅读 Section B

六级Elite Math Competitions Struggle to Diversify Their Talent Pool Interest in elite high school math competitions has grown in recent years, and in light of last summer’s win at the International Math Olympiad (IM—the first for an American team in more than two decades—the trend is likely to continue.

精英数学竞赛努力使其人才库多样化

2017年6月六级真题（卷二）

六级“The challenge is if certain types of people are doing something, it’s difficult for other people to break into it,” said Po-Shen Loh, the head coach of last year’s winning Math Olympiad team.

“挑战在于，如果某些类型的人在做某件事，其他人很难进入其中，”去年获得冠军的奥数队主教练Po Shen Loh说。

2017年6月六级真题（卷二）

六级Nearly all members of last year’s winning IMO team took part in Math Counts as middle school students, as did Loh, the coach.

去年获得国际海事组织冠军的团队中，几乎所有成员都是中学生，教练Loh也是。

2017年6月六级真题（卷二）

六级Teachers in low-income urban and rural areas with no history of participating in math competitions may not know about advanced-math opportunities like Math Counts—and those who do may not have support or feel trained to lead them.

低收入城市和农村地区的教师没有参加过数学比赛的历史，他们可能不知道像“数学计数”这样的高级数学机会，而那些知道的人可能没有得到支持，也没有受过领导这些比赛的训练。

2017年6月六级真题（卷二）

六级Ever-increasing pressure to cut costs has finally forced more companies to do some math on their energy use.

削减成本的压力越来越大，最终迫使更多的公司对其能源使用进行一些计算。

2007年12月英语六级真题

六级New math must be created before the problem can be solved.

在解决问题之前，必须建立新的数学模型。

2010年12月英语六级真题

六级The interplay between music and math is well known.

音乐和数学之间的相互作用是众所周知的。

2010年12月英语六级真题

四级After three years of struggling to balance math, physics and engineering courses with liberal-arts courses, I have learned there are reasons why few engineering students try to reconcile (协调) engineering with liberal-arts courses in college.

经过三年的努力，我在数学、物理和工程课程与文科课程之间取得了平衡，我明白了为什么很少有工程专业的学生试图调和是有原因的(协调) 工程与大学文科课程。

2001年1月大学英语四级(CET-4)真题

四级“If you hear that yours isn’t doing well in math, or see them sitting outside the dean’s office, it’s like a personal failure.

“如果你听说你的数学不好，或者看到他们坐在院长办公室外，这就像是个人的失败。

2012年6月英语四级考试真题

四级The end result has been that, after all the spending, students have worse math and reading skills than both their foreign peers and earlier generations spending far less on education— as all the accumulating evidence now documents.

最终的结果是，在所有的支出之后，学生的数学和阅读能力比他们的外国同龄人和前几代人都差，在教育上的支出也少得多——所有不断积累的证据现在都证明了这一点。

2014年12月大学英语四级考试真题（第2套)

四级I hate it for the post-dinner math it requires of me.

我讨厌它，因为它对我的数学要求太高了。

2016年12月大学英语四级真题（第1套）

四级We validated these expectations in a study in which two other psychologists and I monitored 373students for two years during the transition to junior high school, when the work gets more difficult and the grading more strict, to determine how their mind-sets might affect their math grades.

我们在一项研究中验证了这些期望，在这项研究中，我和另外两位心理学家对373名学生进行了为期两年的监测，以确定他们的心态如何影响他们的数学成绩。

2016年12月大学英语四级真题（第2套）

四级As a result, their math grades overtook those of the other students by the end of the first semester--and the gap between the two groups continued to widen during the two years we followed them.

结果，到第一学期末，他们的数学成绩超过了其他学生——在我们跟踪他们的两年里，两组学生之间的差距继续扩大。

2016年12月大学英语四级真题（第2套）

四级And having to follow instructions on complex craft projects can improve children’s math skills.

必须按照复杂工艺项目的说明进行，可以提高孩子的数学技能。

2017年12月大学英语四级考试真题（第2套）

四级In a recent art assignments, a middle school student depicted (描绘) an overburdened child who was being scolded for earning an A, rather than an A+ , on a math exam.

在最近的一次艺术作业中，一名中学生描绘了(描绘) 一个负担过重的孩子，因为在数学考试中获得A而不是A+而被斥责。

2018年6月大学英语四级真题（第3套)

四级The results showed almost no gains in math achievement.

结果显示数学成绩几乎没有提高。

2020年9月大学英语四级真题（第1套）