The objective of this task was in preparation for my student
interview. The students were asked, “How
can we use cubes to measure the length of the pen?” The objective of this task
was measuring and that you can measure objects using different objects. This is the first part of teaching students
about measuring, so I was unsure of how well the students would do with this
task.
Some of my anticipated responses were that students would
not realize that they needed to connect the blocks together. I assumed that the students would just set
the cubes down next to each other alongside the pen, to see how many cubes
would be the same length as the pen.
This would obviously require fewer cubes, which would give students the
wrong length. I also anticipated that
students would not know what “measure” is and what it would mean to measure the
length of an object.
I started out by setting out the box of cubes on the table
and I had the students tell me what these cubes could be used for. Because the students had just used the cubes
to make patterns, all three students said they can make patterns out of
them. I held up the pen, and asked the
students if they knew what it meant to measure an object. The first boy told me that measuring meant to
see how long or short something would be.
The second student, a girl, told me that she was not sure what measuring
meant. So, together we came up with
different words to use instead of measuring; such as, find how long ____, the
length of ____, etc. These different
words helped her understand what was being asked of her.
Each of the students amazed me when they started working on
the task. The first student connected a
few cubes at a time, and then laid them next to the pen. He continued to do this until the length of
the connected cubes was the same length as the pen. The second girl did the
exact same procedure as the first boy.
The last boy connected ten cubes together while holding them in the air,
above the table. He then laid the ten cubes
next to the pen and realized that that was too long. So he took a cube off at a time, and laid it
next to the pen. He did this until he
got down to six cubes and realized that it was the correct length.
One of the students asked, “Do these cubes equal one
inch? Does this mean the pen is six
inches long?”
His response proved to me that he understood objects can be
measured in different ways. It would be
helpful to introduce to students different methods of measurement and to see
how well they would be able to connect the different methods together.
It is really great how you got such a wide variety of student responses...now you need to dig a little deeper and try to think about what each of these responses might be revealing in terms of their current mathematical understandings. What might be an appropriate follow-up question or task in light of what they currently seem to be thinking?
ReplyDelete