My placement did not have school today so I grabbed a
picture of a worksheet I found in their room last week. I was not present for the specific
worksheet but I believe it was put in place to test where students were on
understanding the division of fractions.
We have not talked about this yet in our class so I assume this was a pretest
before the lesson. A pretest is
helpful to the teacher to be able to see what is the most confusing part about
this topic and what she can point out to help them through this lesson. I believe they must have had some
previous exposure to this in earlier grades or lessons but we have not specifically
taught this idea yet in the classroom.
I grabbed the work of one student who seems to struggle in
school, he is distracted and likes to goof around a lot. I know this student can pay attention
and do well in his course when he puts his mind to it but there are certain
classmates that get him off task very fast and it is hard to bring him
back. Since this was a pretest it
was individual and very quiet. The
pretests are taken in the homerooms for 6th grade, not in the normal
math classroom so I am thinking he feels more comfortable and at ease in his
own classroom and his teacher knows how to deal with the distractions he has
quite well. This student
understood this concept extremely well.
This task was not very high level but the repetition shows that he
understands you just have to flip the second fraction and then multiply them to
get the answer when dividing. This
shows he can do this and that he can do the simple math that is involved here.
Fraction word problems have always been confusing to me so I
am not sure I can explain what I am thinking here very well. I think a way to take this to a deeper
level would to make a word problem in which the fractions are in words and it
is a division problem, then this would help us see that the student understands
what the fraction is, understands it is a division problem and then also knows
that they need to flip the fraction and multiply. Even this seems pretty much just mathematics so taking it a
step further and ask students to create their own word problem for division
with fractions (something I cannot even do) and have them solve it. They could have these shared throughout
the class and the other classmates would have to solve them.
I think the most important question with math and specifically with fractions is, "What does this actually represent?" That is, what does 2/3 divided by 1/5 actually mean? What are some ways to represent this in a way that actually makes sense in a way that can help one understand and see what is going on here in a different way (other than just with the numbers)?......This is part of your job as a teacher.
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