Do you mean the visual appearance of a multiplication table or just remember what two numbers multiplied together are?
I recommend note cards. Try doing it at a certain time each day, for example before you go to bed.
If you only want to memorize multiplication, here is my method:
First, you should remind yourself that a x b = b x a
- memorize the multiplication of 1. This should be a walk in the park since any number would stay the same.
- memorize the multiplication of 10. This is also very easy because you only need to add zero to the end.
- memorize the multiplication of 2. It can be remembered easily because you only need to add that particular number to itself.
- memorize the multiplication of 9. Why 9? Because the result has a very nice pattern. Let's say, 9 x 7 = ? First, subtract 7 by 1 = 6. How many number do we need to add to 6 to make it into 9, it's 3, isn't it? Thus, the answer is 63.
- memorize the multiplication of 5. This is also easy. Let's say, 5 x 6 = ? First, add zero to the end of 6, resulting in 60. Please think of a number which would be resulting in 60 when it's multiplied by 2 => 30.
- memorize the quadratic multiplication => 3 x 3, 4 x 4, 6 x 6, 7 x 7, 8 x 8. The human brain is surprisingly good at memorizing the operation of identical numbers, so this won't take long. You would have memorized 90% multiplication by this point, so the rest is easy. Considering that a x b = b x a, there are only 10 more that you need to remember.
- memorize 3 x 4
- memorize 3 x 6, 3 x 7, 3 x 8
- memorize 4 x 6, 4 x 7, 4 x 8
- memorize 6 x 7, 6 x 8, 7 x 8
If you're looking for shortcuts (for lack of a better word) to aid in multiplication read this: Fantastic Math Tricks
I'll tell you now, there's no "secret" way of doing it. You learn it by spending time on it.
Get a wall poster with all the times tables and sit in front of it and recite it.
Do it for 20 minutes everyday then get flash cards.
You'll learn them in like a month or quicker.
I kind of agree with jgv115. In my case, I've gotten by with many tricks to figure things out, but it takes a little extra effort. Extra effort that can make me forget, for example, what I was working out in the first place. Like multiplying larger numbers in my head. If I hit one that I need to work out, even if it only takes me a second to do it, often makes me forget my running total.
So I'm trying to learn the tables cold. And so far, reciting the tables to myself regularly is working the best. That's what I'd recommend. A little effort now to memorize them perfectly means far less effort overall.
There is a better option to memorize the multiplication facts. Check the http://mathskillbuilder.org
For my children it really works. It is much better then just memorization because it tracks student's activity and doesn't show facts that already learned.
Also they have a nice report to track progress.
you will need to be able to skip count or count by a certain number. For instance 2,4,6,8,10 or 5, 10, 15, 20, 25. Now you will need to use your fingers when skip counting. Remember back in grade 1 when you used to use your fingers to count to 10? Now you'll need them to skip-count. For example, use your fingers to count by 10. First finger or thumb is 10, second is 20, third is 30. Therefore 1 x 10 = 10, 2 x 10 = 20 and so on and so forth. Why use your fingers? Because it's an effective strategy. Any strategy that improves speed with your tables is worth using!