Measuring Up Prototypes for Mathematics Assessment (1993) / Chapter Skim
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The Checkers Tournament
The Checkers Tournament
Pages 31-42
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From page 31... ...
In this case, the clots represent people; they are connected with arrows indicating a certain mathematical relation: an arrow from A to B means "A won the game that A and B played." Some groups of children, for example ones that use the Comprehensive School Mathematics Program (McREL, 1992) , will be familiar with a similar notation, and hence will need ~ itt~e teacher introduction.
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From page 32... ...
A Spanish translation of the task appears immediately following the English version.
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From page 33... ...
rim -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- __________________~ 11 | Name Date ~ , , , , ', Six children are in a checkers tournament. The figure below shows , the results of the games played so far.
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From page 34... ...
5. Make a table showing the current standings of the six children.
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From page 35... ...
1 1 1 1 Lee ~ Dana 'i Jo:/< ~/ 1 1 1 1 , (Recuerda queen el dibu jo unaflecha como esta , 1 1 1 1 A~ex I 1 ~1 I Jose 1 1 1 1 j significa que Jose le gano el partido a Alex. La flecha siempre senala ~ del ganadoral perdedor.)
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From page 36... ...
Co~oca al jugador 0 jugadora que ha ganado la mayor cantidad de partidos en el primer luger; en la primera linea. Si hay un empate entre dos jugadores, puedes co~ocarIos en cua~quier orden.
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From page 37... ...
Yet the task is linker] to more traditional material as students are asked to convert the graphical representation to a familiar ranked table, thus illustrating the connections between such different representations.
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From page 38... ...
Protorubric Characteristics of the high response: The high-level response is one that shows an understanding of the situation as a whole what the various components of the directed graph represent, and how that representation relates to the other representation. One expects that al l answers wi ~ !
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From page 39... ...
In question 7, the rationale could be any of the following: a. Since Dana beat Alex and Alex beat Lee, I think Dana will beat Lee.
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From page 40... ...
and hence give an answer of 21. This answer shows greater insight than one that is closer to the correct answer but was obtained by incorrectly counting the missing arrows.
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From page 41... ...
The response to question 7 may be based on subjective feelings that have no basis in the information supplied in the arrow diagram. For example, the child may say something like "Dana, because I think she's better." Reference Mid-continent Regional Educational Laboratory (1992~.
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