This week was the students' 100th day of school so they were doing quite a bit of work with the number 100. On this assignment, the students were asked to fill in the boxes from 1-100. This was to help the students work with writing their numbers and also ordering their numbers. From my observation, the students were able to successfully do this with little support. The only thing I did notice on some of the student's work was some of their numbers were written backwards. This particular student did not have this difficulty.
This particular assignment did not seem to expand their thinking whatsoever. For students who had the order of 1-100 numbers memorized, this was just rote memory. If the students did not have the order memorized, they could use the number line in the room that went past 100 so even if it was not memorized, students could have easily copied the numbers from that line. This assignment did complete the goal of practicing writing numbers, but if a student already knows how to properly write his/her numbers, this assignment seems to be more like busy work.
If the teacher wanted the student to work with numbers up to 100, the teacher could have given a problem such as "using numbers counting by 10's, write a number combination that equals 100 such as 50 and 50 makes 100." This would give students opportunity to play with numbers, addition, and give them exposure to writing larger numbers up to 100. Another thing the teacher could do is use a smaller scale of numbers, but have them larger values, and turn it into a bingo game. That way the students would have to both write the numbers and find the numbers.
I interviewed the student who completed this assignment and it is as follows:
Me: What did you have to do with this worksheet?
Student: You had to write the numbers and that's all
Me: Did you use anything to count while writing or did you count in your head?
Student: I counted
Me: Did you use a number line to help you?
Student: No
Me: Was this an easy task for you or was it kind of hard?
Student: It was really easy
This shows me that this was not a cognitively demanding task in that it was very closed task and it was also not challenging for the student. Two ways to advance her thinking would be to use my teacher suggestions above with the BINGO game or a word problem equaling 100.
A good analysis; but try also to think about the different ways that a student might approach this task...what might their answers to your questions reveal about their current mathematical thinking?
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