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Please explain Singapore's "conceptual leaps"


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I noticed most in the chapter in 3A teaching multi-digit multiplication and long division. Maria Miller in the "blue" MM worktexts Multiplication 2 and Division 2 walks the child through these difficult concepts step-by-step-by-step gradually over several sections. Singapore throws it all at the child at once. Even with the HIG, I knew there was no way that I was going to be able to explain it to my DD in a way that she'd be able to understand. So I had her work through MM first.

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