In my kindergarten class last week the children and my
mentor teacher worked on putting 100 dots on this Dalmatian doggie. The idea
behind putting 100 dots was because it was the 100th day of school.
The learning goal was to see how many dots each student had to cut out in order
to achieve the goal of 100 dots on the dog. This activity was designed to
elicit student thinking by my MT asking the children to predict how many dots
each student would have to cut out. One child said 10, one child said 3 and
another child 4. My MT said lets try 4 dots per student and then we will see if
we need to add more or less to our collection. There are usually 24 children in
the class, but that day there were only 22. After the predictions were made, my
MT had the children cut out 4 black dots each. She then went around to each
student and counted the dots. The whole class counted to 88. She then asked the
students how many more did they need to get to 100. My MT helped them with this
problem, since it is kindergarten 100-88 is not the easiest problem for them to
solve. So they got 12 as their answer for how many more they needed to cut out.
My MT chose 12 more students to cut their 5th dot and to make 100
dots total for the dog.
Having the
children predict a number of dots for the students to cut out is a good way to
approach this activity. This allows the children to recognize that if they go
over or less then 100 then they have to figure out how much to add or take away
from the dot collection. Another way to approach this activity could be to
already have 100 dots cut out and then have the children divide the dots up
evenly amongst the class and the figuring out what 12 students will get the
extra dots.
Two
anticipated student approaches would be guess that students get a higher number
of dots then what it should be. For example some students said 10 dots per
student to reach 100 and then another student said 4. The 4 was the closes
number. Did the child just guess or did they have some clue of the correct amount
per student? Another anticipated approach for the dividing up amongst
classmate, I think some students succeed in this and then some students may
give up easily. Even though it is a division problem in kindergarten, I think
it would be interesting to see if they could figure it out as a team effort.
Learning
from this task, I can see they students are not at the level of subtracting
numbers with more then one-place value such as 100-88. I have also learned that
maybe this task is not the greatest at learning the students’ mathematical
thinking. For the predications at the beginning of the lesson, my MT only asks
a couple of student to share their predications. Also making a predication is confusing
because as a teacher you never know if they are just guessing at and answer or
if they actually might have an idea.
Lastly, one
way to advance the students understanding could be to ask the student who is
predicating, “Why did you choose that number?” Another way to advance the task
is to not have a community thing to stick the dots on, but each child could
have their own object and then they could decide how many dots/other items they
want placed on their object. Then they’d have to collect the items and count
and make sure they had the correct amount.
Based on the student responses, what questions might you ask them? 'Why did you choose the number?' is one, but what are others, and how might you connect these different questions/ideas to lead students towards the big idea for the lesson / task?
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