The day after a test, every math teacher has heard this student complaint:
“But I did all my homework, and I got the problems right! How could I have made a 50 on the test?”
Of course, the question is usually intended to advertise the student’s powerful work ethic, and perhaps to give the teacher a twinge of guilt for having flunked him.
On the other hand, if the student really has been working hard on the homework, then there may be some easy adjustments he can make to improve his results. Ask these questions:
Are you making yourself too comfortable when you work?
A common mistake is for students to work on math problems in too relaxed a posture. They should be sitting at a desk, with minimal distractions, and working the problems exactly as if they were testing.
Do you have too many reference aids? Are you using your notes, homework problems, formula sheets, stuffed animals, Twitter buddies, etc.?
Students often practice with far more assistance than they will have on the test. Stress to them that EVERY problem should be attempted — at least to begin with — as though it were being done on a test. Students should get as far as they can and then, if they get stuck, try to get just enough information to continue the problem, but no more. They may have to resort to little “tricks” to make this happen; for example, covering the bottom part of a solution so as to see only the next step, or asking a friend to tell them what the next step is, etc.
Are you checking every problem — NOT by looking at a solution, but on your own?
It is just as important to practice the checking process as it is to practice the solving process. On a test you do not have a place to look to see quickly whether your answers are right — you have to decide if your answer is reasonable and check it on your own. Do this every time to develop this extremely useful habit! You may be surprised at how many of your own errors you can catch, and learn from.
The goal of all these items is the same: Complete all your practice as if you are working on a test. Do not fool yourself into thinking you are “getting them all right” when, in fact, you are only getting them after checking your notes, trying ten formulas from your sheet, calling two friends (including Uncle Frank, the math professor), and posting a request on a homework help site.
All Practice Is Test Practice!