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  • Katrien Vance

    July 5, 2020 at 9:57 pm

    Because my brain jumps right to the algebraic representation (such as 3c + 5 = 23), I have a hard time knowing what there is between totally concrete and totally abstract. The number line representation is new to me and seems like a good middle ground. I’m still not completely sure what you would do with kids who understand that there are 3 bars covering the space on the number line from 0 – 18 but then do not know what each bar covers. The representation is good in terms of showing them what the problem means, but it doesn’t help them divide. It’s not repeated subtraction because you don’t know how much to subtract, and they can’t see the number line, so they can’t see what it looks like when divided into 3 parts. Double number line? See-through bars? This might sound like a dumb place to get stopped, but I’m trying to get better at anticipating, and the most brilliant set-up in the world still doesn’t help figure out 18 divided by 3 if they can’t see the hash marks . . .