For
this week’s student work analysis, I chose a worksheet completed by one of our
lower-level math students, Fernando*, that focused on greater and less than.
The first problem of the sheet provided students with a visual representation
using hundreds flats, tens rods, and ones units, which although Fernando
miscounted the units, his number was close and he chose the correct symbol to
represent the comparison with another given number. However, the rest of the
sheet consisted of various number pairs with a blank space for the student to
select the correct symbol of >, <, or =. The only problems that Fernando chose
the correct symbol for were those where both numbers were equal. This reveals
to me that he understands that the equal sign means that both sides are the
same.
Since he switched the symbols for
all the other problems, I would like to work with him one-on-one to see if he
does not remember what each sign means and therefore understood conceptually
which number was smaller/larger, but just chose the wrong sign. If so, that is
a misunderstanding that could be clarified with a mini-lesson. Or, it could be
that his number sense is not developed to the point where he can compare them. If
this is the case, a helpful next step for working with Fernando could be to use
a number line that helps him to visually compare where the two numbers fall on
it. He would be able to observe the trends of number getting bigger or smaller
depending on the direction one is moving on the number line. To reinforce the
greater than and less than symbolic representations, we could create these
symbols out of craft supplies and have him choose numbers on the number line
and then place the appropriate symbol in between. Between these two approaches,
I feel that Fernando’s understanding of greater than and less than would
improve; if they didn’t succeed, I feel that information gained from observing
how he worked through these two options would provide me with a direction in
which to proceed with assisting him.
I think you have some good ideas here. Another option would be for him to explain his reasoning when he misplaces the < and > signs. Another open-ended option is to have him select whichever representation he wants to indicate which has "more" (by pointing, in writing, through drawing, etc.) Ultimately, the goal would be for him to see the connection between the representation he is comfortable with and the < and > signs. Right now, it appears that the < and > signs mean very little to him.
ReplyDelete