?Tips for solving maths problems

顏景泉（編）

◆語(yǔ)篇導(dǎo)讀

僅憑閱讀和傾聽是不可能學(xué)好數(shù)學(xué)的。你數(shù)學(xué)題練得越多，數(shù)學(xué)就越好。每個(gè)題都有自己的特點(diǎn)，重要的是在考試之前以多種方式解決它。糾正錯(cuò)題時(shí)，每個(gè)問(wèn)題的解決過(guò)程都很重要。掌握數(shù)學(xué)需要時(shí)間和耐心，需要營(yíng)造一個(gè)無(wú)干擾的學(xué)習(xí)環(huán)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(yǔ)塊收藏

go wrong走錯(cuò)路；誤入歧途

try to memorize the process試著記住過(guò)程

focus on致力于；對(duì)(某事或做某事)予以注意

avoid doing避免做某事

create a distraction-free study environment營(yíng)造一個(gè)無(wú)干擾的學(xué)習(xí)環(huán)境

as much as possible盡可能

change your perspective改變你的看法或觀點(diǎn)

◆典句賞析

1.The more you practice answering maths problems,the better.你練習(xí)解決的數(shù)學(xué)問(wèn)題越多，就越好。

該句是比較級(jí)結(jié)構(gòu)。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(huì)幫助你理解你在將來(lái)應(yīng)該如何處理這樣的問(wèn)題。

該句是由how引導(dǎo)的賓語(yǔ)從句的復(fù)合句。主句是一般將來(lái)時(shí)態(tài)，how you should approach such problems in the future作動(dòng)詞understand的賓語(yǔ)。

3.Mathematics is a subject that requires more concentration than any other.數(shù)學(xué)是一門需要比其他學(xué)科更集中思想的學(xué)科。

該句是復(fù)合句。a subject是主句中的表語(yǔ)。that requires more concentration than any other是定語(yǔ)從句，修飾先行詞subject，關(guān)系代詞that在從句中作主語(yǔ)。

◆理解自測(cè)

根據(jù)短文內(nèi)容，從A、B、C、D選項(xiàng)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(jù)所給漢語(yǔ)句子，完成下列英語(yǔ)句子。每空一詞。

1.你吃得越多，就會(huì)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(gè)男人在哪里？

Where is the man that____________________________?

5.我們?cè)撟龅牡谝患率桥c(diǎn)吃的。

The first thing that we should do is____________________________.