I also want to avoid restricting ourselves to rules that serve to negate a sound conceptual understanding of number sense. For example, every year I find several students hoping to apply this rule:
1. If the signs are the same, add the numbers and keep the same sign.I'm not trying to create computing machines here, I want thinkers who understand what they're doing.
2. If the signs are different, subtract the numbers and take the sign of the larger number.
So, just to share, this is what I'll try tomorrow:
Share 2 models of adding integers:
1. Adrian Peterson's total yardage calculated with losses and gains.Share 2 methods of adding integers:
2. Mr. G's bank balance calculated with deposits and withdrawals.
1. Number lineShare 1 method of subtracting integers:
1. Add the opposite (meaning, when we see the subtraction sign, let's change the operation to addition and oppositize the second number), then use one of the 2 methods above.
I've contemplated the benefits of showing number line, counters, AND the difference model with subtraction but am afraid sharing those will do one of two things: scare students or confuse students.
Therefore, I go with what I've seen produce the most clarity and success. After we got these methods down for a day or so, THEN I'll show the other stuff. How's that sound? Anybody else got something that's worked real well for them?
Or maybe I'll just show this video:
And lastly, whatever happens tomorrow. I'm no doubt leaving a minute or two to show Kanye's infamous diss. Gotta buy your students' attention, you gotta. Also, I wanna see reactions. Sorry Taylor.