Question

What do you think the difference between learning and understanding math is?

Answer 1

When I understand it I do not forget it

Answer 2

learning is going step by step through the whole process and understanding it is being able to break it down in your mind and make it more simple

Answer 3

I would say learning math is the process of taking in a new math concepts. Understanding math is the ability to teach these mathematical concepts to another person.

Answer 4

Learning math is where you need to memorize every single formula otherwise you won't know how to answer a certain question.

Understanding math is where you know a certain formula and you can apply it to other similar concepts to answer a certain question.

Answer 5

To me personally i think learning math is to memorizing you way through while on the other hand understanding shows that you know how to apply what you've learned to solve different set of problems whiteout relaying on memorization.

Answer 6

https://m.youtube.com/watch?v=kg2mOl042ng

Answer 7

Depends on what you mean I guess. I guess if I have to define 'em, then learning is about finding out about stuff that exists and understanding is knowing how to come up with it yourself. But I don't really think like this so it doesn't matter to me.

Answer 8

What I cannot create, I do not understand.

Answer 9

Learning is to know the formula and able to use the formula. Understanding is able to define the process of formula, its uniqueness, the reason of implication and of course the derivation.

Answer 10

Understand is a small step to learning, which goes by:

1. remember (worse: memorize) the material
2. understand
3. apply
4. analyze
5. evaluate
6. Create

Most people stay with the first step, that's why math seems difficult.
When we move on to the second step, understand what we are doing, things start to get interesting. The more you work with it yourself (practice, discuss, even teach), the more material will be retained in your brain in the form of knowledge links. Once the links are formed, you can apply the knowledge with ease.

Answer 11

I'm not sure if understanding means you don't forget - when you get my age!! lol!!

Answer 12

Here are two dictionary definitions:

$$\Huge\text{learn:}$$
gain knowledge of
or
skill in

$$\Huge\text{understand:}$$
see the meaning
or
importance of

Answer 13

bc. my opinion the mathematics is the best logic subject from all over the world so than you LEARN it without UNDERSTAND it this mean what you learned today will forget all till tomorrow

Answer 14

Learning is HOW to use the tools. Understanding is KNOWING when to apply the tools.

Answer 15

basically: you can walk in circles without a destination, but everything goes faster when you know what you're doing and where you're going.
same idea.

Answer 16

before you can learning math.,you need understanding it sure ,clearly

Answer 17

\[\Huge \text{LEARNING}\]
--> "Seeing and Doing" I would classify learning as "going through the motions" The basic classroom setting where you are tackling a subject and learning ways to go about it. USUALLY utilizing ways that have been made that allow the work to be easier to understand. (Trig Identities, Derivative Shortcuts, etc...)

\[\Huge \text{UNDERSTANDING}\]
--> "Application and Manipulation" Being able to see a problem and start from the beginning. Using the fundamentals of math/physics whatever you are working with and really THINK through the problem. "Oh, I need to prove a trig identity. Lets start from the basics! I can PROVE that sin^2 + cos^2 = 1 not just agree it's correct. I can then manipulate that to find another identity that I can use to continue on with this problem!

Memorization comes through practice and application over and over again. Endless attempts to "memorize" a function or an expression will only last so long.

Answer 18

Learning is the acquisition of knowledge

Knowledge is understanding

Understanding is the ability to comprehend and fully (mentally) grasp.

They are connected. Learning is the process that leads to understanding.

Answer 19

You can see

3x = 15

Divide by 3

x = 5

on the board. Then from there on, know that 3x = 15, x = 5. But that isn't learning, that is simple memorization. Learning and understanding is knowing how to approach it, why you approach it that way and get your answer correct every time, because you understand that concept like a rock you have held for your entire life, and you know every curve, groove and cut along it's surface.

Answer 20

I have to go, but I look forward to reading any criticism towards my approach on this in about two hours. Hope you all have a good day.

Answer 21

"Look man, you can listen to Jimi but you can't hear him. There's a difference man. Just because you're listening to him doesn't mean you're hearing him." -Sidney Deane

Answer 22

Sorry, had to do it and actually quite relevant.

Answer 23

learning is studying and understanding is knowing it and remembering it. :D