This week I want to focus on a piece of student work that
displays a low level student while working with a middle level student. Both
these students I have observed during math and helped them quite a bit; one
struggles with the math content while the other tends to get distracted and off
task. The activity was called Penny Grab where students have 20 pennies that
they put in a pile between them. One student grabs a handful of pennies and the
other student takes the rest. Both students count how many pennies they have. Once
they have counted their pennies, the partners have to decide who has more
pennies. While I was watching these partners working together I was noticing
the middle level student was doing all the answering for who had more. I wanted
to monitor this because I felt it was important for the low level student to
answer too. When I asked the lower level student to count with us and see who
has more she could count how many she had and how many her partner had but she
got shy when she was answering who had more. She answered that she had more
(she had 8 pennies while her partner had 12) but then looked up at me to see if
her answer was correct or not. Instead of me telling her no she is wrong I
asked her partner to explain who has more and how he knows that. Her partner
was successful at explaining because he was able to say “well I have 12 and she
has 8 and I know that 8 is more than 12 because on the number line, 8 is less
than 12.” After that I had the girl try to answer again and this time she had
11 pennies and her partner had 9. I saw her look down at the number line and
take a minute to see which number was larger. She answered 11; I was so
impressed to see that a student gave another student a successful strategy to
use.
In
order to advance this students thinking (the low level student) I really think
that partner working is successful but it has to be an appropriate partner whom
I know will not just give her the answers. She tends to get really shy around
teachers because she’s timid to answer so I believe that when she works with a
partner she can see their strategies and learn how to use them herself. Another
strategy I would do is have students share strategies they use on a problem in
a whole group discussion. This way students are sharing their ideas (which we
already do) however to make it different I would want to maybe demonstrate
having other students, like this struggling girl, come up to the board and
solve the problem by using the strategy another student explain. If the student
doesn’t understand the strategy than I would have the child who thought of the
strategy explain it to the child who is solving the problem. This is not a way
to text students or scare them, it’s to demonstrate and have low level students
work our problems using strategies they may not have thought of that can be
helpful to their learning.
All of your thinking here is great, and I appreciate the way you are thinking of modifying your instruction in light of what you are seeing students do in class. I would push your thinking by asking you if you think you can verbalize what this work shows that these students do and do not yet understand about the specific content you are working with. What kind of mathematical thinking do you think this episode reveals?
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