We had another such breakthrough today. While working on a sheet of two-digit addition and subtraction problems, I couldn't find the abacus so I told him just to go for it and "see the abacus in his mind" while I read to the girls. (Of course we were reading Petunia's Christmas - it has to be Petunia for my 2-year-old!)
He's gotten about three wrong out of twenty. Not too bad for the first time without manipulatives. If I'd found the abacus, however, he'd still be chugging away with it.
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