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My girlfriend is a math teacher, the number of middle schoolers that can’t do basic multiplication before is surprisingly high. Yet the schools keep passing the kids. I remember learning multiplication as a 4th grader, if I hadn’t, I would’ve never passed.
My niece from Florida came to live with me in December, just finished fifth grade and I was stunned that she doesn’t know her multiplication tables. My kids In Pennsylvania learned them in 3rd grade a few years ago.
Does she understand the concept of multiplication though? That's ultimately the important part.
Learning rote things like multiplication tables seems kinda silly in a world where Google can just do the math for you. But the important thing is to be able to recognize when multiplication is useful.
There are still plenty of instances where doing arithmetic quickly in your head is useful (figuring out a tip at the cash register, for example) that memorizing it can have advantages.
I agree that mental math is useful, but in scenarios like that, times tables aren't really useful since the tables are rotely memorized and rarely does a bill fall nicely into a times table.
Better to learn a technique like "move the decimal place left one position and double that number to get 20%".
But realistically, with a phone in your pocket, it's not much more effort to pull it out and use the calculator.