?Tips for solving maths problems

顏景泉（編）

◆語篇導讀

僅憑閱讀和傾聽是不可能學好數學的。你數學題練得越多，數學就越好。每個題都有自己的特點，重要的是在考試之前以多種方式解決它。糾正錯題時，每個問題的解決過程都很重要。掌握數學需要時間和耐心，需要營造一個無干擾的學習環境。

1.Practice,practice and more practice

It is impossible to study maths properly by just reading and listening.The more you practice answering maths problems,the better.Each problem has its own characteristic.

2.Review mistakes

When you're practising with these problems,it's important to work through the process for each solution.If you have made any mistakes,you should review them and understand your problemsolving skills.Understanding how you approached the problem and where you went wrong is a great way of becoming stronger and avoiding the same mistakes in the future.

3.Master the key ideas

Do not try to memorize the processes.It is much better and rewarding in the long-run to focus on understanding the process.This will help you understand how you should approach such problems in the future.

4.Understand your doubts

Sometimes you can get stuck trying to solve part of a maths problem and find it difficult to move on to the next stage.It's common for many students to skip this question and continue to the next.You should avoid doing this and instead spend time trying to understand the process of solving the problem.Remember maths requires time and patience to master.

5.Create a distraction-free study environment

Mathematics is a subject that requires more concentration than any other.A proper study environment and a distraction free area could be the determining factor.

6.Create a mathematical dictionary

We suggest you create notes or flashcards with all the concepts.You should include their meanings,some key points and even some sample answers so you can consult them at any time.

7.Apply maths to real world problems

As much as possible,try to apply real-world problems when approaching maths.Maths can be very abstract sometimes,so looking for a practical application can help change your perspective.

◆語塊收藏

go wrong走錯路；誤入歧途

try to memorize the process試著記住過程

focus on致力于；對(某事或做某事)予以注意

avoid doing避免做某事

create a distraction-free study environment營造一個無干擾的學習環境

as much as possible盡可能

change your perspective改變你的看法或觀點

◆典句賞析

1.The more you practice answering maths problems,the better.你練習解決的數學問題越多，就越好。

該句是比較級結構。the more...,the better...意為“……越多，……越好”，后面省略了you do。

2.This will help you understand how you should approach such problems in the future.這會幫助你理解你在將來應該如何處理這樣的問題。

該句是由how引導的賓語從句的復合句。主句是一般將來時態，how you should approach such problems in the future作動詞understand的賓語。

3.Mathematics is a subject that requires more concentration than any other.數學是一門需要比其他學科更集中思想的學科。

該句是復合句。a subject是主句中的表語。that requires more concentration than any other是定語從句，修飾先行詞subject，關系代詞that在從句中作主語。

◆理解自測

根據短文內容，從A、B、C、D選項中選擇最佳答案。

1.What should we do if we have made any maths mistakes?We should_______.

A.study maths

B.practise with these problems

C.review them

D.make any mistakes

2.It is common for _______to skip this question and continue to the next.

A.the students

B.many students

C.you

D.them

3.Maths repuires _______ to master.

A.time

B.patience

C.time and patience

D.environment

◆詞句微練

根據所給漢語句子，完成下列英語句子。每空一詞。

1.你吃得越多，就會變得越胖。

_______ _______you eat,______________you will be.

2.李磊告訴吉姆那件毛衣多少錢。

Li Lei told Jim ______________the sweater_______.

3.凡是能做的都必須做。

All that can be done _____________________.

4.我今天早上看見的那個男人在哪里？

Where is the man that____________________________?

5.我們該做的第一件事是弄點吃的。

The first thing that we should do is____________________________.