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

### Citation Manager

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

 Page 86

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Measuring Up: Prototypes for Mathematics Assessment

A third assumption is that there are as many computers available as there are students who are being assessed at any one time.

Presenting the task: The teacher describes a software package that enables users to design quilts on the computer. Giving each student a handout showing the screens below, the teacher should guide the group through the first example of a sequence of designs, with students using their own computers to reproduce the example. Note: a limited number of copies of the Quilt Designer software are available for \$20 (prepaid) by writing to MSEB, 2101 Constitution Avenue, NW, HA 476, Washington, DC 20418.

Essentially, the Quilt Designer program allows a child to create a ''quilt" of 64 squares by starting with a basic square of his or her own design. This starting square is acted upon by a sequence of three 2 × 2 designs, each entry of which is a rotation through 0°, 90°, 180°, or 270°. Thus the initial basic square design becomes a 2 × 2 quilt, each square of which is a congruent (and perhaps rotated) copy of the initial design; the rotations are specified by the first pattern of arrows. The second pattern of arrows turns that into a 4 × 4 quilt, and the third pattern of arrows results in an 8 × 8 quilt.

When the Quilt Designer program starts, the user can retrieve work that is already in progress, or start a new quilt. In the latter case, the first screen that appears allows one to design the basic unit square.

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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)