I am a fast writer. Pencil down, answer out, next. The problem is that my pencil is faster than my reading, and most of my mistakes happen in the gap between the two.
So now I do one thing before I write anything: I read the expression out loud. Quietly is fine. Under your breath is fine. Mouthing it in class is fine. It just has to be actual words, not a glance.
Why out loud works
When you glance at an expression, your eyes jump to the numbers and skip the small stuff. The small stuff is the signs. When you say it, you cannot skip anything. Every minus has to come out of your mouth as a word.
The five seconds
It is the same five seconds the videos give you on a Think Break. Here is what I do with them.
One: say it the long way. “Three times x,” not just “three x.” “Minus” when something is being subtracted. “Negative” when a number is below zero.
Two: touch every minus sign and say which number it belongs to.
Three: say what you are doing first. Not the answer. Just the first move.
What it catches
Here is one that nearly got me. Evaluate 2m + 5 when m = −3. Glancing, I almost wrote 2 − 3 + 5, which is 4. Wrong.
And another: 18 − 5 + 2. Glancing, it is tempting to add the 5 and the 2 first and get 11. Say it, “eighteen minus five, plus two,” and the little pause after “five” keeps the minus with the 5. Left to right: 13, then 15.
The part to remember
You do not need to say it out loud forever. After a while the words start running in your head on their own. Until then, give them a voice. Most of my sign errors now get caught right there, before they ever reach the paper.
