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Measuring Up Prototypes for Mathematics Assessment (1993) / Chapter Skim
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Mystery Graphs
Pages 23-30

The Chapter Skim interface presents what we've algorithmically identified as the most significant single chunk of text within every page in the chapter.
Select key terms on the right to highlight them within pages of the chapter.


From page 23...
... In the pilot, it was necessary to c ~ arify that "cavities" i n question 1a refers to both filled and unfilled cavities. Student assessment activity: See the following pages.
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From page 24...
... l l ll l l Date Look at the five graphs on the next pages. Each graph shows something about a classroom of fourth graders.
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From page 25...
... l Q ~5 x x X X X X X X X X X X X X X X X X X X o X X CO X X X X X X L~ X X o X X oo L~ ·~ ·O L~ x x x oc ~X X X X X ~X X Lr X X ~ o x x x x C~ ~X L __ _ _ _ _ _ _ _ _ _ _ _ __ __ _ _ _ ___ _ ___ _ _ ___ _ __ _ _ _ _ __ _ __ _ _ _ _ _ _ _ _ _ _ ___ _ _ __ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ __ _ _ _1
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From page 26...
... Q Q X X x x X X X X X X X X X X X X X X X X x X X X X x oo X X X L~ X X X X X X X X X X X X X X X X X X L~ o .~ oo L~ Q x x Lr o LO oo o X X ~ X oo X X L~ X X X X X X X X X ~ X X o X oo X X ~ x x x x x x x x ~______________________________________________________________________________1
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From page 27...
... If the task is going to fit within a single class period, however, there is not enough time to create five graphs for comparison. As a result, this task uses data that have already been collected from some hypothetical fourth grade.
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From page 28...
... Variants and extensions: A natural instructional for fow-up to this task is to ask the students to compile data on heights, cavities, etc., from their own class, to compare with the data given. Using just the data presented here, one could pose problems like: "Suppose Graph 2 really chid show heights in inches.
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From page 29...
... The on ly real alternative cand idate for the heights is Graph 2, but that would imply that there are fourth graders who are six feet tal I Characteristics of the mec/ium response: Graph 1 and Graph 4 are interchanged (number of cavities and n u m ber of fam i ly members)
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Key Terms

  • five graphs
  • family size
  • class period
  • family sizes
  • own experiences

  • six feet
  • dental health
  • own ages
  • single class
  • own family

  • create five
  • task design
  • cultural variations
  • particularly people
  • save assessment

  • real alternative
  • questions similar
  • reasonable range
  • assessment time
  • graphical representations

  • suppose graph
  • fourth grade
  • own class
  • hypothetical fourth
  • own data

  • reasonable expectation
  • connect mathematics
  • reasonable sense
  • compile data
  • student assessment


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