I
do not have a picture of the student work because it was the written assessment
for my math unit and my teacher needed the tests to plug in the grades for the
students report cards. On this piece of work, the assessment, the student
answered that 2 nickels and 3 pennies was 25 cents and on the second questions
she answered that 1 nickel and 5 pennies was 30 cents. When it asked her to
circle the largest amount of coins shown she circled the 25 cent answer.
This
student work piece shows me that this student is not recognizing the difference
in coin amount when counting combinations of coins. She sees 5 coins as nickels
rather than 2 nickels and 3 pennies. She counted the 5 coins by 5s and that’s
why she answered 25, this is the same reasoning for the next question. She
answered that 6 coins shown made 30 rather than seeing that there was 1 nickel
and 5 pennies. She doesn’t understand the counting combinations of nickels and
pennies, instead she’s only counting like they were all nickels. As for the
second part of the question that asked her to circle the largest amount I do
not know the thinking behind this answer. What I believe may have happened was
that she looked at another students paper and saw that that space on the test
was circled and so she circled hers as well without looking at the amounts and
working it out on her own. There are gaps in her learning as far as realizing
the difference between counting nickels and pennies when they are in a
combination and also understanding the coin amount that is more. It concerned
me to see these answers she gave because we did much practice in my unit with
counting coin combinations.
In
order to advance her thinking I have at least one solution I know will help
this student visualize. I would not want to just tell this student that a
nickel is larger than a penny because then when they learn dimes they will be
very confused. Instead I want to help her identify the coins with the use of
our class coin chart. Helping her see and asking her to identify coin faces
will help her to be able to distinguish the faces and values faster on the test
or any coin combination problem she’s given. Another solution to advancing her
thinking is having her practice writing the coin values above the coin itself
so that she can count what she wrote down instead of trying to remember if she
identified the coin as a nickel or penny. I’ve seen students do this where they
write the value above the coins and it has helped them count the combination
every time. This could be an excellent trick for someone like this student who
has a hard time distinguishing the coin values and then counting all the coins
together.
Again, think about how the student might apply her knowledge in a real-life scenario. What kind of inquiry-based / exploratory task can you present her with that will force her to apply her knowledge (and see the utility of developing and advancing her understanding)? Providing the students with such an opportunity might be valuable in order to develop their understanding of this concept.
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