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Knowing, perceiving, comprehending, and
interpreting mathematical knowledge is known as mathematical understanding.
Developing mathematical understanding is crucial to learning mathematics.
Understanding mathematics reduces memory load, filters out invalid information
in the brain, and maintains memory longevity.
Understanding:
opposition to memorizing
Always aim for understanding rather than memorization. It can be frightening to be faced with a 1,000-page book and have to spend a whole day trying to comprehend just one page. But it doesn't mean you'll have to spend a thousand days understanding the entire book. Understanding that one page will provide you experience that will make the following page easier and this process continues. 88tuition is one of the best math tuition in Singapore that helps students in understanding the concepts in PSLE Math
Learn
after lecture
Before you arrive to class, read the
sections that were covered. That is one of the most beneficial methods to
spend your time because it will significantly improve the lecture's efficacy.
Exercises
Some may be suggested by the teacher, but
you can choose them yourself from the textbook or make up your own. Choose them
based on how much they stimulate your interest. Avoid falling into the trap of
doing a huge number of exercises that are only differentiated by the numerical
values supplied to specific parameters. Always double-check your answers for
consistency.
Formulate
expectations
Whenever you do a problem or follow a new
mathematical thread explicitly formulate expectations. It's possible that your
expectations will be met, which will give you a lovely warm feeling. Otherwise,
there are two possibilities: you made a mistake from which you may recover now
that you're aware of it, or you've discovered something truly fresh that will
teach you something. You can miss out on these opportunities if you don't set
and check expectations.
Technology
Be open to new technology and aware of it.
You can go straight to computing help from here. But don't forget to
think about and grasp the problem, as well as its solution and repercussions.
The aim of technology is to double-check your answers, not to relieve you of
the need to think. Technology can be used to efficiently complete everyday
tasks, to complete tasks that are impossible to complete by hand (like the
visualization of large data sets).