I bought an intriguing book a few weeks ago, and I've been reading snippets of it. It's about "how the brain learns", and I just read a section that gave me pause:
Practice doesn't make perfect. Perfect practice makes perfect. If a student is just learning something new and is starting their practice of the concept, but does the method incorrectly over and over at the start, that's going to stick in their brain and will be harder to unlearn later.
Well that's kind of scary, and I can see how I now want to rush around the room and make sure they're all doing it right the first time.
I also read on another thread someone's thoughts on how we teach math: if we taught English the way we are prompted to teach math, then we'd never teach Poetry or Shakespeare. You'll never use them in real life. However, your education would be remiss without being exposed to them.