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How Students Learn: History, Mathematics, and Science in the Classroom (2005)
Board on Behavioral, Cognitive, and Sensory Sciences (BBCSS)

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. "6 Fostering the Development of Whole-Number Sense: Teaching Mathematics in the Primary Grades." How Students Learn: History, Mathematics, and Science in the Classroom. Washington, DC: The National Academies Press, 2005.

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How Students Learn: History, Mathematics, and Science in the Classroom

BOX 6-4
Directions for Administering and Scoring the Number Knowledge Test

Administration: The Number Knowledge test is an oral test. It is administered individually, and it requires an oral response. Paper and pencil are not permitted. Use of a follow-up question—“How did you figure that out?”—for Questions 1, 3, and 7 at Level 1 and Questions 1, 2, and 8 at Level 2 provides additional insight into children’s reasoning and strategy use.

Scoring: One point is assigned for each item passed at Levels 0, 1, and 2. For all two-part items, both (a) and (b) must be passed to earn a point.

Props Needed: For Level 0:12 red and 8 yellow counting chips, at least 1/8” thick (other contrasting colors can be substituted). For Levels 1 and 2: visual displays (see samples below). Each image should be at least twice the size of the samples shown here.

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