Do mathematicians memorize formulas?

One tends to remember things which they find interesting and which they internalize. In math, the formulas and facts that are being used seem to be remembered without going through the tediousness of memorizing them. On the other hand, when studying things of less interest, many things are temporarily put into memory.

What does memorized mean in math?

If you memorize something, you learn it so well that you can repeat it from memory. John memorized a mathematical encyclopedia but he still doesn’t understand mathematics.

Is memorizing without understanding considered as learning?

In absolute term, no. You need both, to know(memorize) and understand(relate/connect) to consider learning. For example, you memorize all parts of a car.

Do you think math should be memorized?

People on Quora will answer some of these questions. It’s way easier to memorize things that make sense than random arbitrary facts, and it seems less like memorization when you do. No, no, no. Math should never be memorized; it should be reconstructed like a story.

Is memorization really necessary?

Sometimes, memorization is really useful. Even necessary. It depends on how you define memorization. If you accept my (admittedly debateable) definition, then “memorization” refers to the combination of rote learning and memory tricks (like mnemonics). These are almost never ideal.

Do you have to memorize the multiplication table?

A certain amount of memorization is essential, especially for lower-level math. For example, you need to memorize the multiplication table up to 9 x 9 in order to be able to multiply two four-digit numbers. In elementary and high school, this was not an issue for me, because I did not have to work very hard to understand or memorize it.

How do you remember a theorem or definition in mathematics?

The way you should “remember” a theorem or definition in mathematics is the same way you remember what you did on your last vacation or how you met your significant other. Every significant mathematical idea or definition has a story that you create when you study and discover or rediscover the idea.