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The Best Language for Math

What’s the best language for learning math? Hint: You’re not reading it.

Chinese, Japanese and Korean use simpler number words and express math concepts more clearly than English. The language gap is drawing growing attention as confusing English number words have been linked in several studies to weaker counting and arithmetic skill in children in English-speaking countries.

【小题1】 Among the researchers are Karen Fuson, a professor in the School of Education at Northwestern University, and Li Yeping, an expert on Chinese math education at Texas A&M University.

Chinese has just nine number words, while English has more than two dozen. The trouble starts at “11”. English has a unique word for the number, while Chinese (as well as Japanese and Korean, among other languages) have words that can be translated as “ten-one” – spoken with the “ten” first. 【小题2】

English number words over 10 don’t as clearly label place values. Number words for the teens reverse the order of the ones and “teens”, making it easy for children to confuse, say, 17 with 71. As a result, children working with English number words have a harder time doing multi-digit addition and subtraction (减法) 【小题3】

It also feels more natural for Chinese speakers than for English speakers to use the “make-a-ten” addition and subtraction strategy. When adding two numbers, students break down the numbers into parts and regroup them into tens and ones. For instance, 9 plus 5 becomes 9 plus 1 plus 4. 【小题4】Many teachers in America have increased instruction in the make-a-ten method and called for first-graders to use it to add and subtract.

Now, you should feel lucky that you are learning math in China. Thanks to your mother tongue, all math problems just come less confusing and difficult to you!

A.So it’s not easy for English speakers to label place values clearly.
B.The additional mental steps needed to solve problems cause more errors.
C.Differences between Chinese and English, in particular, have been studied for decades.
D.This method is a powerful tool for solving more advanced multi-digit addition and subtraction problems.
E.Different languages indicate different ways of thinking, causing people to solve math problems differently.
F.That makes it easier for children to understand the place value as well as making it clear that the number system is based on units of 10.
22-23高二上·上海·假期作业
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Learn a new language and, at some point, you’ll meet native speakers that have you questioning your language abilities. 【小题1】 And what’s that slang (俚语) they’re using?! If this sounds all too familiar to you, then welcome! You’ve leveled up to a new stage of language learning best known as the dialect. The differences between a dialect and a language have a number of technicalities and exceptions tied to them. But as a language learner, you’re probably more interested in the practical takeaway.

【小题2】. We can see how the standard elements of English change across the US, the UK, and even Singapore, where Singlish exists as a hyper-regional dialect of English.

The first thing you’ll notice about each English dialect is the shift in pronunciation. This shift, better known as an accent, is an important element of a dialect. 【小题3】. Don’t worry too much about this. What’s important is that you’re able to identify differences during conversations and feel comfortable adapting to them.

Studies show that children who primarily speak a dialect are hyper-aware of the differences, and are able to reach reading and writing goals more quickly as a result. 【小题4】 Learning a dialect, rather than just the standard language, requires a deeper dig into cultural nuances (细微差异) that aren’t lost on native speakers. In short: Learning a dialect shows that you care! It’s an incredible way to connect with new cultural communities in the process.

Before you learn a dialect, you should have a firm grasp of the fundamentals of a “standard” language. That way, you’ll be able to gain meaning through context. 【小题5】 Movies, music, books, and news are all fantastic ways to pick up on those dialectical nuances.

A.Then, enlarge your exposure.
B.There’re many varieties of English.
C.How does their accent sound so different?
D.But accent isn’t always necessary to a dialect.
E.Dialects also allow you to build deeper connections.
F.Some people are good at shifting between different accents.
G.Dialects are often closely tied with geographical boundaries.

Today, people cooperate closely with those from different countries and cultures. Cultural diversity in a company can bring individual and organizational benefits, open people’s minds to new approaches, and help them be more creative; on the other hand, it also presents challenges that come from using a foreign language.

No matter how well we understand and speak a foreign language, it’s really hard for us to reach the level that we have in our mother tongue. When people who have different mother tongues use a language that they do not feel as competent in as their own, language becomes a barrier that prevents effective communication. Meanwhile, difficulty in speaking or poor language knowledge is often considered to be a lack of competence and professionalism, which is not true. On a broader and more emotional level, all this causes greater difficulty in establishing relationships of mutual (互相的) trust, making cooperation between the groups more difficult and success less likely.

Behind every language, there is a system of different values and beliefs. These make up the culture of each language. For international teams, it is necessary to have a broader attitude and be able to accept and understand different cultures. Improving intercultural communication skills means building and training awareness of oneself and others. This is done by reflecting on differences actively and learning about individuals who speak a different language and have different values and habits.

It’s impossible to completely eliminate the language barrier when people use a foreign language. Linguistic(语言的) and cultural differences will always exist. To better deal with a multicultural working team, it is essential to acquire and maintain awareness of the limits and strengths of the language. We need to pay attention to the cultural diversity present in the team and to the misunderstandings that could arise, making efforts to use communication strategies that are as inclusive and comprehensive (全面的) as possible.

【小题1】What is the author’s purpose in writing paragraph 1?
A.To prove multicultural cooperation is effective.
B.To introduce the challenge of linguistic diversity in a company.
C.To explain the reasons for learning a foreign language.
D.To show it is hard to balance individual and organizational benefits.
【小题2】What is a misunderstanding according to paragraph 2?
A.People’s professional abilities are closely related to their linguistic ability.
B.People who cannot speak a foreign language are less likely to succeed.
C.People’s mother tongues are easier to learn than a foreign language.
D.People who have different mother tongues always lack trust in each other.
【小题3】What does the author advise international teams to do?
A.Offer different language courses.
B.Change the culture in their teams.
C.Be open-minded about cultural diversity.
D.Promote individuals speaking different languages.
【小题4】What does the underlined word “eliminate” in the last paragraph mean?
A.Share.B.Remove.C.Respect.D.Spot.
请认真阅读下面短文,并根据所读内容在文章后表格中的空格里填上一个最恰当的单词。注意:请将答案写在答题卡上相应题号的横线上,每个空格只填一个单词。

Keeping it in the family

This can be painful. Not sharing your first language with loved ones is hard. Not passing it on to your own child can be especially tough. Many immigrant(移民) parents feel a sense of failure; they share stories on parenting forums and social media, hoping to find the secret to raising bilingual(双语的) children successfully. Children are good at learning languages but this doesn’t mean that rough exposure is enough. They must hear a language quite a bit to understand it — and use it often to be able to speak it comfortably. This is mental work, and a child who doesn’t have a motivation to speak a language will often avoid it. Children’s brains are already busy enough. So languages often fade away and die when parents move abroad.

In the past, governments discouraged immigrant families from keeping their languages. Former President Roosevelt worried that America would become a “multi-lingual boarding-house”. These days, officials tend to get involved less; some even see a valuable resource in immigrants’ language abilities. Yet many factors combine to ensure that children still lose their parents’ languages, or never learn them. A big one is institutional pressure. A child’s time spent with a second language is time not spent on their first. So teachers often discourage parents from speaking their languages to their children. Parents often unwillingly agree, worried about their children’s education.

This is a shame; children really can master two languages or even more. Research does indeed suggest their vocabulary in each language may be somewhat smaller for a while. But other studies show cognitive(认知的) advantages among bilinguals. They may be better at complex tasks, better at paying attention, and suffer the attack of Alzheimer’s disease later.

Even without those side-effects, though, a bilingual child’s connection to relatives and another culture is a good thing in itself. How to bring it about? When both parents speak the same heritage language, the strategy is often to speak that at home, and the national language outside. But when they have different languages, perhaps the most common approach is “one parent, one language”.

François Grosjean, an expert in foreign languages at the University of Neuchâtel in Switzerland, emphasizes necessity. He recommends reserving occasions on which the only language that may be spoken is the one that needs support.

Sabine Little, an expert in foreign languages at the University of Sheffield, puts the emphasis elsewhere. Making the heritage language yet another task forced by parents can lead to rejection, she argues. She recommends letting the child develop their own emotional connection to the language. She suggests learning through apps and entertainment made for native speakers.

Languages are an important part of identity; it is painful to try and fail to pass them on to a child. Success may be a question of remembering that they are not just another thing to be drilled into a young mind, but a matter of the heart.

The problem

Immigrant parents feel a sense of failure because of the 【小题1】 of their native languages among their children.

Causes of


the problem
Immigrant children: little exposure as well as 【小题2】 of motivations.
Governments: too much involvement in a(n) 【小题3】 to encourage a single language nation.
Teachers: discouragement of bilingual learning despite parents’ 【小题4】 to agree

Benefits of   being bilingual

● Better handle complex tasks, better keep 【小题5】, and develop Alzheimer at a later age.
● Enable children to be 【小题6】 to relatives and a different culture.

Solutions to


the problem
● Adopt different 【小题7】 or the heritage language practice according to family language backgrounds.
● Give more support to the language at a 【小题8】.
● Develop emotional connection to the language.
● Learn through apps and entertainment 【小题9】 at the native speakers.

Conclusion

Immigrant parents should 【小题10】 in mind that learning languages is a matter of the heart.


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