2 . Handwritten Chinese characters (文字) can be beautiful. I still remember looking at Chinese and not understanding anything it said and yet feeling a strong attraction. In fact, some students start learning Chinese because of the characters. After having studied Chinese for a while, I realized that handwriting in Chinese takes a very long time to learn.

Living as we do in a digital era (数字时代) with smartphones and computers, most students sooner or later ask themselves this question: Is it really necessary to learn how to write by hand in Chinese? When using smartphones or computers, we can use phonetic input (语音输入) systems, which choose the characters we want for us as long as we can remember how they are pronounced. Since we enter different characters, we seldom need to be able to recognize the difference between characters in detail; the computer makes the right choices for us. Do we really need to write Chinese by hand at all?

I think most people agree that you should learn to write at least some characters at some point as a student of Chinese, although not necessarily straight away and not necessarily all the characters that you can say. But unless you don’t care about written language at all, you should learn the basics of handwriting. Without it, it will be very hard to understand characters. You don’t need to be a calligraphy master (书法大师), but you do need basic handwriting skills to do this. Simply looking at things is, as usual, a bad way of learning.

I think learning the most common 500 characters or so is a good idea for all students. If you actually want to write by hand, increase that to 1, 000. Then learn to handwrite characters outside of the 1, 000 most common on a need-to-know basis.

5 . Do you get nervous thinking about a coming math test? If yes, you are far from alone. Math anxiety has become a common condition among students around the world. Students in countries with higher levels of math anxiety tend to achieve lower math grades, according to a study published by the National Academy of Sciences on Feb 15.

Math anxiety — a negative emotional reaction to the core subject — causes fear, physical suffering and behavior problems among young pupils, according to a University of Cambridge study. Some people also experience physical symptoms such as sweaty palms or a racing heart. They may then try to avoid every situation involving numbers, meaning they are held back from pursuing careers related to this subject, such as technology or engineering, according to The Guardian.

Relief comes from the fact that those with math anxiety aren’t destined (注定的) to be bad at math. “If a child has math anxiety, don’t assume that they’re not good at math. They may have had a really bad experience with math and there are ways to improve math achievement,” Daniel Ansari, the senior author of the study told The London Free Press.

Also, there are ways to manage your stress related to math. If you’re feeling stressed before a math exam, it may help to spend a few minutes exploring those feelings before the exam begins. “It’s about making sure you’re interpreting your feelings correctly,” Sian Beilock, a cognitive (认知的) scientist told the BBC. “Just because you have a fast heartbeat and sweaty palms, that does not necessarily mean you will fail.”

Math doesn’t come easy, no matter how clever you are. Leonardo da Vinci, the famous Italian artist, was a huge fan of mathematics. But his notebooks show that Da Vinci couldn’t do fractions (分数). He could never grasp, for instance, that dividing a number by one-quarter is the same as multiplying by four, resulting in a higher number than the original.

Small Act，Big Difference

Last Sunday, I took part in a voluntary activity in our neighborhood with many other volunteers,

8 . Ellis Island is located in New York Harbor. Ellis Island is open daily year-round from 9:30am to 5:00pm, with extended hours during summer. It is closed on December 25. There is no admission charge to Ellis Island; donations are gratefully accepted.

At Your Fingertips

Park information          (212) 363- 7620

Emergencies               (212 ) 363- 3260

Ferryboat information   (212) 269- 5755

Lost and found            (212) 344- 7620

Dining, gifts, & audio tour   (212) 344- 0996

Transportation

Statue of Liberty and Ellis Island Ferry: Boats leave from Battery Park, Manhattan, and from Liberty State Park, New Jersey. They run about every 30 to 45 minutes beginning at 9: 15 am(ferry schedule subject to change).

Hours: May vary; call the number below

Closed: December 25

Ferry fees (Includes Liberty and Ellis Islands): adults, $ 7; senior citizens, $6; children(age 3 to 17), $ 3. (lower group rates are available for 25 or more adults)

Ticket & schedule information: (212) 269- 5755

9 . Do you like to eat out? Do you like to eat quickly? Do you like inexpensive food?

Some people go to fast-food restaurants for these reasons. In the past, people usually went to diners（路边餐馆）for these reasons. In fact, many people in the States still go to diners today for the same reasons.

A man named Walter Scott had the first “diner” in 1872. It wasn’t a real diner. It was only a food cart. People on the street walked up to the cart to buy food. These carts served late-night workers who wanted a cup of coffee and a late-night meal. The meal was a sandwich or boiled eggs.

In 1887, Samuel Jones built the first diner big enough to allow the customers to come inside. However, they did not sit down. Later, people built diners with counters and stools（凳子）, and people sat down while they ate.

Before long, many diners stayed open around the clock. In other words, people were able to eat in diner at any time. Diners changed in other ways, too. The original（最初的） menu of sandwiches and coffee became bigger. It included soup, favorite dishes, and a breakfast menu. In addition, diners soon became permanent buildings. They were no longer carts on wheels.

Diners today look similar to the diners of the early 1900s. They are usually buildings with large windows. Inside, the diners have shining counters with stools, booths, and tables and chairs. People can eat all three meals in a modern diner.

Today, many people eat in fast-food restaurants such as McDonald’s and Burger King. However, the diner remains an American tradition, and thousands of people still enjoy eating there. It was popular a century ago, and it is still popular today.

10 . Many teenagers feel that the most important people in their lives are their friends. They believe that their family members, especially their parents, don’t know them as well as their friends do. In large families, it is often for brothers and sisters to fight with each other and then they can only go to their friends for advice. It is very important for teenagers to have one good friend or many friends. Even when they are not with their friends, they usually spend a lot of time talking among themselves on the phone. This communication is very important in children’s growing up, because friends can discuss something difficult to say to their family members.

However, parents often try to choose their children’s friends for them. Some parents may even stop their children from meeting their good friends. The question of “choice” is an interesting one. Have you ever thought of the following questions?

Who choose your friends?

Do you choose your friends or your friends choose you?

Have you got good friends your parents don’t like?