The mathematical objective of this activity was to teach the
students that measuring could be done with a lot of things. First the teacher
explained that she was going to take her foot and measure the rug in the carpet
area. She did this by walking one foot in front of the other. They counted with
her. She said, “Okay so this rug is
about 7 of MY feet long.” She placed the emphasis on “MY” because she wanted
the children to know that her foot length could be different from theirs or
other people. She then traced her foot on a piece of paper, cut it out and
measured something that was not on the ground, the closet door.
Then she
went into asking the children, “what are other ways in which we could measure?”
Some children responded with, “ our head”, she had to redirect the class
because many of the children found that funny. Other children said, “ arm” or
“hand”. These were the answers that the teacher was looking for. The teacher showed how her task was designed
to elicit student thinking by asking the open-ended question of, “What are
other ways you can measure?” After the
lesson, she had the children trace and cut out their own foot and then measure.
During her lesson, she stressed the importance of how to measure using something
other then a ruler. She talked about finger placement and how you have to move
your finger after you have measured out one foot, and then you go to the second
foot, etc.
Though I
think the strategy that my mentor teacher used to teach this was very well thought
out and nicely executed, there are two other possible strategies to help teach
the concept of measuring with other objects other then a ruler. One idea is to
measure the childrens’ height by paper teddy bears. Each bear could be 5
inches, and then the children get measured with the bears and then they can be
placed on the wall. This could be done at the beginning of the year and then
again at the end of the year. Another strategy could be to measure distance by
having a car race. There could be different size ramps and the cars could go
down them and then the children could mark with tape how far their car went.
An
anticipated problem with the measuring with the feet task is that the student
might not be lining up the cut out of their foot with their finger and then
moving in up to measure the next part, this would require a lot of adult
support. Another anticipated student response could be that the student wants
to measure a table by going around the table in a circle instead of measuring
it straight across, this would also require adult support to help them know
that we measure straight across with that specific type of measuring device, (a
foot).
The students
approached the problem by first cutting out their foot and then just explored
the classroom, measuring different things. I feel this math task was more of an
exploration piece rather then solving a task.
The
students’ approach to the task says that they can identify that you can measure
which other objects, however some struggled with the idea of using your finger
to mark your spot and then move up to continue to measure, they kept moving
their finger and losing their spot. (This is more of an issue with hand-eye
coordination).
Two ways of
extending this task could be to try to use a different part of their body or I could
be to apply numbers/units to their certain part of their body that they were
trying to measure with.
We should have you describe this task to the class...It is one of the bread-and-butter tasks for measurement (measuring with a nonstandard object). It is very important to think about what the big idea for this task is and especially important to think about how you might lead students towards thinking about that big idea (otherwise, it's simply a fun activity...do you have any evidence that your students actually learned anything (i.e., advanced their understanding) by engaging in this task)?
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