This past week
during 1st grade math we covered number stories and word
problems. This was a lesson that I anticipated
my students to struggle with because I assumed it was new to them since we
haven’t covered it in my classroom yet.
I was pleasantly surprised when I had 12 first grade faces looking up at
me like “umm this is so easy”. I began
by breaking down that when we read a story problem we need to find what
information is important, what the question is asking, and find a way that
works best for YOU to solve it. We talked
about different strategies for solving (counting on fingers, drawing pictures,
etc). Before moving to our independent
work time we did several classroom examples with slides on the smart board and my
students performed really well.
When we moved onto their
independent work, I planned for students to work in pairs to create number
stories together. I made up a template
to help each pair construct their number story including a spot for important
information, what the question is asking, writing the full number story, and
showing two ways to solve this problem.
One pair in particular wrote a wonderful story problem with great
examples. Their number story read, “Jordynn
and Mikai went to the store. They brout(bought)
9 pieces of candy. They got 1 more how
many do I have left?” They also drew two
ways to solve it. One was a drawing of 9
pennies and then a “+” and one more penny and the other was 10 tally
marks.
What stood out to me most about
their work was how they constructed the question that the problem is looking
for, “how many do I have left?”. They have
clearly made an “adding to” addition problem of starting with 9 and adding 1
more, yet they phrase the question like a subtraction problem would be implying
we are taking away to ask “how many are left”.
This makes me wonder if I didn’t go into enough detail in my instruction
about how to make a question that correlates with what the information in the
question is getting at.
These two students may have just
thrown that question on the end because they have heard it before or maybe they
really do have a misunderstanding of what the phrase “how many are left” is
really getting at. The Everyday Math
curriculum “spirals” around all different concepts by doing a little
introduction or adding a small bit to each concept as it arrives. We will encounter number stories again in the
next unit so addressing ways to phrase questions within these stories would be
a beneficial thing to cover. This pair
clearly understands the problem they are trying to set up by showing it consistently
in their pictures, but the question on the end just doesn’t quite match up to
the addition the problem entails.
I wouldn't be as concerned about what your instruction did or did not "cover" or make clear for the students (although this is of course an important observation to make). I would instead think about ways that you can facilitate ways for students to share what they do know / are thinking about the content with each other...This process will help them to think more deeply about the material, regardless of whether or not they perfectly understand the concept currently.
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