>>11536876>>11536811Alright, so my regimen has a few basic ideas to it.
First is that you only need to know addition and multiplication because subtraction and division are just doing the former in reverse. I kind of took a risk with this but I think it worked- it breaks down a little bit when the problems get bigger and you the problems require you to use specific tactics for addition not used in subtraction, tactics that just "feel" different. Bigger meaning more than two digits or two rows. Neither of the sites I listed allow you to add rows so you kind of have to do this yourself with custom worksheets and a stopwatch which is what I did for about a month.
Second is that instead of memorizing multiplication tables from 0-12 (american) or 0-20 (east asian), you limit yourself to the first 10 digits, yes even zero, and focus on speed. The idea was that the product of bigger and bigger numbers is just the sum of their decomposed parts via the distributive property, so the faster you can do the first 10 digit pairs(0-9), the faster you can get the products you need to add back together to get your final product from the sum.
Thirdly, you do everything from left to right. It's awkward at first if you were taught the wrong way but you get used to it eventually.
Example: 347 * 23
mental process looks something like this
2 * 347
600
80
14
94
694
69 40
3 * 347
900
120
10 20
10 41
69 40
79 81
I imagine numbers as split to help with carrying and making it seem like less numbers.
So those are the basic ideas. Now for routine: I mentioned I practiced tall columns with custom worksheets. I did this for about a month but maxed out how fast I could write legibly and tried vocally answering the questions. While doing that, I got my speed down but I realized I wasn't exercising my working memory because I didn't ever have to remember what the problem was when it was being asked of me. So what I did was a next was a little nutty, but it was worth it.
(cont)