Comment Re:Gone through this during my college days... (Score 1) 363
My school district (mid to late aughts) taught math under a system whereby we weren't allowed to do something on a calculator until we had shown we could do it by hand. Graphs were taught to us both as a "you're going to start plotting points and connect them" and "here's a list of 70-something basic graphs for you to memorize and then you'll learn how to modify them." So much time spent taking speed tests to recognize basic graph shapes and standing up as a class and making graph shapes with our arms as the teacher called them out.
Sure enough, when I took the ACT, I forgot my calculator (or the batteries were dead? I'm fairly certain I'd left it at home but I know I didn't have one) and was able to more or less re-derive or recall all of the basics that the calculator would have just sped up, and I still had a math score in the 30s.
To this day I prefer to teach people that way. "You're doing this by hand until you can prove to me that the tool is going to help you do it faster instead of replacing your ability to do it."