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## Measuring Up: Prototypes for Mathematics Assessment (1993) Mathematical Sciences Education Board (MSEB)

### Citation Manager

. "The Checkers Tournament." Measuring Up: Prototypes for Mathematics Assessment. Washington, DC: The National Academies Press, 1993.

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Measuring Up: Prototypes for Mathematics Assessment

symbolic representation of a situation to another. In this case, the directed graph representation is to be transformed into a list of players ordered on the basis of their tournament records so far.

Presenting the task: If students are not already familiar with the directed graph notation, the teacher should introduce it (without the terminology "directed graph") as a means of displaying information about four students in a Tic-Tac-Toe tournament.

The teacher should explain the situation and ask simple questions such as:

Which students has Linda played? [Lourdes, Ed and Bob.]

Which games did she win? [The ones against Lourdes and Ed.]

Which games did she lose? [The one against Bob.]

Find two students who have not played against each other yet. [Lourdes and Ed; Ed and Bob.]

Who has played the fewest games? [Ed, with only one game played so far.]

Student assessment activity: The teacher should pass out copies of the student sheet and read through the introduction and question 1, to be sure that everyone has an understanding of the meaning of the dots and the arrows. A Spanish translation of the task appears immediately following the English version.

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 Front Matter (R1-R10) Introduction (1-3) The Challenge (4-4) The Criteria (5-6) The Caveats (7-7) The Audience (8-8) The Prototypes (9-11) The Tryouts (12-12) The Format (13-13) The Protorubrics (14-15) The Standards (16-18) The Future (19-20) The Prototypes (21-22) Mystery Graphs (23-30) The Checkers Tournament (31-42) Bridges (43-52) Hexarights (53-64) Bowl-A-Fact (65-74) Point of View (75-84) The Quilt Designer (85-94) How Many Buttons? (95-100) The Taxman (101-114) Lightning Strikes Again (115-124) Comparing Grizzly Bears and Black Bears (125-132) The Towers Problem (133-140) The Hog Game (141-156) Resources (157-160) Mathematical Sciences Education Board (161-164) Credits (165-166)