The reason math teachers assign homework is to give students the practice necessary for entrenching new concepts and skills in the brain.
Math homework is necessary for the same reason practicing the piano is necessary: it’s one thing to “get” what the teacher taught during the lesson, but it’s another thing to be able to perform that same skill independently and fluently.
Yet, all too many students practice math incorrectly, and they therefore gain little benefit, or even worse, they solidify misunderstandings and bad habits.
Practice doesn’t necessarily make perfect, but enough practice does make permanent, which is why guitar teachers, ski instructors, and golf pros are all such sticklers for proper form; they know how hard it is to unlearn errors that have become ingrained.
Many students will do a whole page of math and never check their answers. How do they know they were doing the right procedures? (Answer: They don’t.)
Or, students check their answers after completing the entire assignment, and only then discover that their answers don’t match up with those in the back of the book. In both such cases students tend to declare: Oh, well, the teacher will go over it in class tomorrow.
But in each of these scenarios, the student has now thoroughly practiced BEING WRONG.
Here’s the right way to do math (or math-related) homework:
- Locate the answer key. If it’s in the back of the textbook, insert a bookmark or Post-it note for easy back-and-forth flipping.
- Do the first problem.
- Check it on the answer key.
- If …