❸Tips for solving maths problems

By Santos

颜景泉（编）

◆语篇导读

仅凭阅读和倾听是不可能学好数学的。你数学题练得越多，数学就越好。每个题都有自己的特点，重要的是在考试之前以多种方式解决它。纠正错题时，每个问题的解决过程都很重要。掌握数学需要时间和耐心，需要营造一个无干扰的学习环境。

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 youwent wrongis a great way of becoming stronger and avoiding the same mistakes in the future.

3.Master the key ideas

Do nottry to memorize the processes. It is much better and rewarding in the long-run tofocus onunderstanding 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 shouldavoid doingthis 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 helpchange your perspective.

◆语块收藏

go wrong 走错路；误入歧途

try to memorize the process 试着记住过程

focus on 致力于；对(某事或做某事)予以注意

avoid doing 避免做某事

create a distraction-free study environment 营造一个无干扰的学习环境

as much as possible 尽可能

change your perspective 改变你的看法或观点

◆典句赏析

1.The more you practice answering maths problems, the better.你练习解决的数学问题越多，就越好。

该句是比较级结构。the more...,the better...意为“……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.这会帮助你理解你在将来应该如何处理这样的问题。

该句是由how引导的宾语从句的复合句。主句是一般将来时态，how you should approach such problems in the future作动词understand的宾语。

3.Mathematics is a subject that requires more concentration than any other.数学是一门需要比其他学科更集中思想的学科。

该句是复合句。a subject是主句中的表语。that requires more concentration than any other是定语从句，修饰先行词subject，关系代词that在从句中作主语。

◆理解自测

根据短文内容，从A、B、C、D选项中选择最佳答案。

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

◆词句微练

根据所给汉语句子，完成下列英语句子。每空一词。

1.你吃得越多，就会变得越胖。_____ _____you eat,_____ _____you will be.

2.李磊告诉吉姆那件毛衣多少钱。

Li Lei told Jim_____ _____the sweater_____.

3.凡是能做的都必须做。

All that can be done .

4.我今天早上看见的那个男人在哪里？

Where is the man that_____ _____ __________?

5.我们该做的第一件事是弄点吃的。

The first thing that we should do is__________ _____ _____.