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# How Do you Teach Regrouping with Understanding?

Counting you ask?  Yes, we spent time counting and looking at patterns in numbers.  I know it is in the standard so that is part of why we counted, but counting is so much more important than teaching because it is the standard.  How can students reason about whether their answer makes sense if they can’t count?  Reasoning about math is in the mathematical practices several times.  Students who can’t count, can’t estimate and can’t round because they have NO idea about where the number comes in the whole sequence of numbers.

Second graders last year solved a CGI word problem each day while they were learning addition and subtraction.  Students spent several weeks using base ten blocks to solve their addition and subtraction regrouping problems.  When students weren’t permitted to use the actual blocks, we prompted them to draw illustrations of the blocks to help them solve their problems.  Even after students were shown how the traditional algorithm worked with their blocks, most of them tended towards drawing a picture of the blocks to solve the problem.  Most were successful doing this.  I was satisfied with this progress because I knew in 3rd and 4th grade that they would again have an opportunity to learn the traditional algorithm and other addition/subtraction strategies.

So here is how we are beginning with the kiddos in 3rd and 4th grades this year to teach addition regrouping.  The kids are still given the opportunity to use blocks if needed to formulate understanding.  Now I know that in showing them how to regroup the kids aren’t really “discovering” or “constructing” the algorithm themselves, but they are gaining an understanding.  I just don’t think we have enough time in the year for the kids to discover everything and they must be shown some things.  I haven’t arrived at that place yet where I think in CGI utopia…maybe I will get there someday??  (Don’t get me wrong, I find value in CGI)  For right now the kids are getting this method of teaching addition regrouping and making sense of it.  I’m happy and the kids are learning.