Thursday, October 18, 2012

Marie Lewis Student work blog week 7

     My students were given this question as a quick check after learning how to create line plots.  One of my students responded with this:
     The student plotted his graph by putting an x for every page read on the noted day of the week. He is on the right track because he understands the layout of a line plot and was capable of drawing the x's as he thought acceptable.  This work is wrong because the line plot is supposed to have a scale along the x-axis that includes the values in the problem.  For example, a good scale would have been from 1 to 20. This student does not have a scale, rather he listed the days of the week.  It seems as if the student thought he was supposed to keep track of how many pages were read each day.
     If I were to talk with this student, I would ask him his reasoning as to why he labeled each day of the week.  I would ask him to explain to me what he knows about what a line plot entails.  I would then restate this question, taking the days of the week away from the number values.  I think this is confusing because the student could have thought he had to keep the day and the value together.  The question would be better phrased as, " Throughout the week, Consuela read a different number of pages from her book each night.  She read 8 pages, 11 pages, 10 pages, 7 pages, 8 pages, and 8 pages. Create a line plot of this information." The specific days of the week are irrelevant, confusing the student to think he needed t keep track of how many pages he read each day, rather than focusing solely on the values.

1 comment:

  1. I think this is an excellent example to analyze because it reveals - through your analysis - that the "wrong" answer by the student is actually based on a type of internal logic that is "correct". Hence, the student is "wrong" but not actually "wrong".
    This highlights an important feature of good math instruction. Rather than move on or simply mark the student as incorrect, the powerful next step is to allow students to compare each others' graphs / representations. This student can then explain how and why he did what he did. And it seems like he will probably be able to. However, he will also hear from other students who created the graph in a more "conventional" way, and the student will realize what those graphs afford that his does not. This will be a key step in the process of his learning.

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