Sunday, September 9, 2012

Addition and Subtraction Strategy debate

I somehow stumbled on this old article explaining multiple digit addition and subtraction strategies.

What Happened to Borrowing and Carrying?

What is interesting to me is not the article, sorry author, but the debate in the comments thread that ensues. I have often had trouble understanding why a parent or teacher would be opposed to their child knowing and understanding more than one strategy for addition and subtraction. The comments on this thread kind of enlightened me. Some people view these additional strategies as unsophisticated or stepping stones to the traditional algorithm,  slower than traditional methods, or just don't realize the power of students building understanding rather than just memorizing a procedure. One parent that commented was upset that her child was getting poor grades in math and understood the traditional algorithms, but not these new ways of adding and subtracting. I got her point, but still thought that she didn't understand the bigger issue here. Student created and alternative algorithms help students understand the concepts at a deeper level and help connect ideas in math. I always have students that have been taught to borrow and carry by their parents at home. I love that these parents want to do math at home. The difficulty is when students or their parents think that these strategies are the ONLY or BEST strategies.

I tell students in my room that they can use any strategy if it fits these guidlines...

  1. You must understand the strategy and why it works.
  2. It must lead the the right answer for you the vast majority of the time.
  3. It must be efficient. 
One of two things happen to students that have parents who taught them the traditional algorithms. They either, one, abandon them because they don't understand why it works or find a strategy they understand better or, two, learn why their strategy works (Why do we write a one there or change that number to a 12?). Either way I am a very happy math teacher.

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