The image above is from Karen’s kindergarten class in which
(to my understanding) the children were working on one-to-one correspondence
and the children were asked to draw a picture that had 5 items. Ways that I
anticipate children to solve this is counting one, drawing one thing and so on
(like the task was intending children to do). Another way that I anticipate
children to solve this would be an incorrect way in which I see several
children in my own class do. They count 1-5 out loud while they are making a
dot on the paper but are not keeping in mind the one-to-one correspondence. It
looks to me like this student started drawing hearts and may have started
counting but lost track of that one-to-one correspondence at some point within
his/her counting. However, when they finished, they realized that they had too
many and went back and counted using one-to-one correspondence, therefore
determining that they drew too many hearts. To me, that is why he/she went back
and crossed off the hearts. There could be other reasons, maybe the student
didn’t notice themselves that this happened. I wasn’t there so I am not sure,
maybe the teacher brought it to their attention and told them they had 3 too
many. I am not sure what else to say to this child to have them use a better
strategy than to reinforce the importance of pointing to one item at a time to
“assign” it a number (so to speak)—one-to-one correspondence. I know that this
is only kindergarten so a lot of children this age struggle with this and it is
something that they need lots of practice with, eventually I’m sure they will
get it! On the basis of this child’s understanding, I would give them more
practice with this with bigger numbers. It looks like they understood the
concept, maybe they know how to draw 5 items. Maybe they would need more
support with a bigger number? If they have the one to one correspondence
completely down, I may suggest doing a simple story problem. Then again, I am
not sure because I do not know what is too much for kindergarten yet. A simple
story problem could be, there are 5 frogs on the log, 2 frogs hopped away to
the pond, How many are left? I would include a picture and have them see if
they know to cross off two of the frogs to get their answer. This could also be
done with addition.
All the questions that you ask about this seemingly simple drawing reveals the importance of having students explain their thinking. This is obviously harder in the younger grades to do in writing, but being present while the child makes the drawing and explains it would enlighten us in terms of the many good questions that you ask. Thus, I think the take away lesson is not only to collect student work and analyze it, but to analyze in the context of which it was created and to give students, as they create it, a chance to explain their thinking.
ReplyDeleteThank you for the feedback. I will try to do my best to analyze the context as well from now on!
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