We use an electronic timer. Started with adding single digit numbers. He needs to provide answers before the timer goes off. Right answer adds a dime, but wrong answers or no answer before time expires subtracts a dime. Identified the numbers he had trouble with. We play until he’s taken a couple dollars from me. I always let him win a couple dollars to keep up the interest. Lowered the time until it was down to a second.
Most math is learning and applying a technique. But there is no technique or formula for adding/multiplying single digit numbers - it’s all memory. That’s what I did with my grandkids, and it frees them to learn the techniques without struggling with the basics.
Not to be a naysayer, but there ARE techniques for single digit multiplication and addition. In fact, it’s utilizing some basic principles, like the transitive property.
You can always always breakdown mathematics into smaller bits, like 9+8=(9+1)+7=17, or 7*6=(5+2)*6=30+12=42.
You could even do counting! 1+3 => 1…2,3,4 => 4. Or 3*4 => 3,6,9,12 => 12. There’s lots of shortcuts!
We use an electronic timer. Started with adding single digit numbers. He needs to provide answers before the timer goes off. Right answer adds a dime, but wrong answers or no answer before time expires subtracts a dime. Identified the numbers he had trouble with. We play until he’s taken a couple dollars from me. I always let him win a couple dollars to keep up the interest. Lowered the time until it was down to a second.
Most math is learning and applying a technique. But there is no technique or formula for adding/multiplying single digit numbers - it’s all memory. That’s what I did with my grandkids, and it frees them to learn the techniques without struggling with the basics.
Not to be a naysayer, but there ARE techniques for single digit multiplication and addition. In fact, it’s utilizing some basic principles, like the transitive property.
You can always always breakdown mathematics into smaller bits, like 9+8=(9+1)+7=17, or 7*6=(5+2)*6=30+12=42.
You could even do counting! 1+3 => 1…2,3,4 => 4. Or 3*4 => 3,6,9,12 => 12. There’s lots of shortcuts!
Aren’t those all still based on basic addition and multiplication? If you don’t know 2+2=4, breaking down 2*3 into 2+2+2 doesn’t help.
Memorization is about speed. Knowing 3*4=12 is much faster than 3+3+3+3.