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Measuring Up: Prototypes for Mathematics Assessment
Presenting the task: The teacher should spend a brief period of time in an activity that involves imagining objects from different points of view. Three students (A, B, and C) should stand in the middle of the classroom, while the other children stand around the edges of the room. A, B, and C should be separated from each other by a few feet. Some of the children on the outside then should be asked to describe the order in which they see the three children, from left to right. Mary, for example, might see them as B, A, C, while Altoria, on the opposite side of the room, might see them as C, A, and B. Then everyone (including A, B, and C) should be asked to describe what Manuel, another child on the outside, sees. The teacher can conclude with questions like, ''Who are the children who see C in the middle?", "Who sees B directly in front of C?", etc.
Student assessment activity: The teacher should distribute the questions along with the playground map, which is on a separate page. He or she should read the story on the students' sheet as the students read it, being sure that everyone realizes that the story refers to the map. The students will record responses both on the map and on the instruction sheet, so both pieces of paper should be collected at the end.