Lesson WHY should you practise mathematics

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Back in school days, we practised in order to get familiar to the types of questions in exams and to achieve higher scores.
But is it all that practising solving maths problems is for?

NO.

For those who want to study real maths, practicing is important. It is critical. It is fatal. But it is nothing about getting high grades.
In the study of mathematics, you have to practice because you want to learn it. You want to understand it thoroughly and be crystal clear about it in mind. It is the nature of maths to extremely clear-everthing is constructed upon the principles with rigorous logic. And to learn it, you have to be extremely clear about it as well.
Through practicing, you can use what you learnt and gain much more understandings of it-using it tells you about itself.

But more importantly, its meaning is to make you master what you have learnt. Even though you have completely understood it, to be extremely familiar with it so that you can use it like using your arms is a bigger challenge. But in order to understand further knowledge in the coming days, you MUST master them. Otherwise it will be very hard or impossible for you to learn in the next step.

These goals all make large amount of practising essential in the study of maths. Practise after you know about it. Pracise until you have understand it thoroughly. Practise until you are as familiar with it as with your famliy members. Practise until you have mastered it.
And only then can you move on in learning mathematics.