Grading the Nation's Report Card: Research from the Evaluation of NAEP (2000)

Chapter: 2 Families of Items in the NAEP Mathematics Assessment

Previous Chapter: 1 Introduction
Suggested Citation: "2 Families of Items in the NAEP Mathematics Assessment." National Research Council. 2000. Grading the Nation's Report Card: Research from the Evaluation of NAEP. Washington, DC: The National Academies Press. doi: 10.17226/9751.

There was a problem loading page 5.

Suggested Citation: "2 Families of Items in the NAEP Mathematics Assessment." National Research Council. 2000. Grading the Nation's Report Card: Research from the Evaluation of NAEP. Washington, DC: The National Academies Press. doi: 10.17226/9751.

There was a problem loading page 6.

Suggested Citation: "2 Families of Items in the NAEP Mathematics Assessment." National Research Council. 2000. Grading the Nation's Report Card: Research from the Evaluation of NAEP. Washington, DC: The National Academies Press. doi: 10.17226/9751.

There was a problem loading page 7.

Suggested Citation: "2 Families of Items in the NAEP Mathematics Assessment." National Research Council. 2000. Grading the Nation's Report Card: Research from the Evaluation of NAEP. Washington, DC: The National Academies Press. doi: 10.17226/9751.

There was a problem loading page 8.

Suggested Citation: "2 Families of Items in the NAEP Mathematics Assessment." National Research Council. 2000. Grading the Nation's Report Card: Research from the Evaluation of NAEP. Washington, DC: The National Academies Press. doi: 10.17226/9751.

There was a problem loading page 9.

Suggested Citation: "2 Families of Items in the NAEP Mathematics Assessment." National Research Council. 2000. Grading the Nation's Report Card: Research from the Evaluation of NAEP. Washington, DC: The National Academies Press. doi: 10.17226/9751.

There was a problem loading page 10.

Suggested Citation: "2 Families of Items in the NAEP Mathematics Assessment." National Research Council. 2000. Grading the Nation's Report Card: Research from the Evaluation of NAEP. Washington, DC: The National Academies Press. doi: 10.17226/9751.

There was a problem loading page 11.

Suggested Citation: "2 Families of Items in the NAEP Mathematics Assessment." National Research Council. 2000. Grading the Nation's Report Card: Research from the Evaluation of NAEP. Washington, DC: The National Academies Press. doi: 10.17226/9751.

There was a problem loading page 12.

Suggested Citation: "2 Families of Items in the NAEP Mathematics Assessment." National Research Council. 2000. Grading the Nation's Report Card: Research from the Evaluation of NAEP. Washington, DC: The National Academies Press. doi: 10.17226/9751.

There was a problem loading page 13.

Suggested Citation: "2 Families of Items in the NAEP Mathematics Assessment." National Research Council. 2000. Grading the Nation's Report Card: Research from the Evaluation of NAEP. Washington, DC: The National Academies Press. doi: 10.17226/9751.

There was a problem loading page 14.

Suggested Citation: "2 Families of Items in the NAEP Mathematics Assessment." National Research Council. 2000. Grading the Nation's Report Card: Research from the Evaluation of NAEP. Washington, DC: The National Academies Press. doi: 10.17226/9751.

There was a problem loading page 15.

Suggested Citation: "2 Families of Items in the NAEP Mathematics Assessment." National Research Council. 2000. Grading the Nation's Report Card: Research from the Evaluation of NAEP. Washington, DC: The National Academies Press. doi: 10.17226/9751.

There was a problem loading page 16.

Suggested Citation: "2 Families of Items in the NAEP Mathematics Assessment." National Research Council. 2000. Grading the Nation's Report Card: Research from the Evaluation of NAEP. Washington, DC: The National Academies Press. doi: 10.17226/9751.

There was a problem loading page 17.

Suggested Citation: "2 Families of Items in the NAEP Mathematics Assessment." National Research Council. 2000. Grading the Nation's Report Card: Research from the Evaluation of NAEP. Washington, DC: The National Academies Press. doi: 10.17226/9751.

There was a problem loading page 18.

Suggested Citation: "2 Families of Items in the NAEP Mathematics Assessment." National Research Council. 2000. Grading the Nation's Report Card: Research from the Evaluation of NAEP. Washington, DC: The National Academies Press. doi: 10.17226/9751.

There was a problem loading page 19.

Suggested Citation: "2 Families of Items in the NAEP Mathematics Assessment." National Research Council. 2000. Grading the Nation's Report Card: Research from the Evaluation of NAEP. Washington, DC: The National Academies Press. doi: 10.17226/9751.

There was a problem loading page 20.

Suggested Citation: "2 Families of Items in the NAEP Mathematics Assessment." National Research Council. 2000. Grading the Nation's Report Card: Research from the Evaluation of NAEP. Washington, DC: The National Academies Press. doi: 10.17226/9751.

There was a problem loading page 21.

Suggested Citation: "2 Families of Items in the NAEP Mathematics Assessment." National Research Council. 2000. Grading the Nation's Report Card: Research from the Evaluation of NAEP. Washington, DC: The National Academies Press. doi: 10.17226/9751.

There was a problem loading page 22.

Suggested Citation: "2 Families of Items in the NAEP Mathematics Assessment." National Research Council. 2000. Grading the Nation's Report Card: Research from the Evaluation of NAEP. Washington, DC: The National Academies Press. doi: 10.17226/9751.

There was a problem loading page 23.

Suggested Citation: "2 Families of Items in the NAEP Mathematics Assessment." National Research Council. 2000. Grading the Nation's Report Card: Research from the Evaluation of NAEP. Washington, DC: The National Academies Press. doi: 10.17226/9751.

There was a problem loading page 24.

Suggested Citation: "2 Families of Items in the NAEP Mathematics Assessment." National Research Council. 2000. Grading the Nation's Report Card: Research from the Evaluation of NAEP. Washington, DC: The National Academies Press. doi: 10.17226/9751.

There was a problem loading page 25.

Suggested Citation: "2 Families of Items in the NAEP Mathematics Assessment." National Research Council. 2000. Grading the Nation's Report Card: Research from the Evaluation of NAEP. Washington, DC: The National Academies Press. doi: 10.17226/9751.

There was a problem loading page 26.

Suggested Citation: "2 Families of Items in the NAEP Mathematics Assessment." National Research Council. 2000. Grading the Nation's Report Card: Research from the Evaluation of NAEP. Washington, DC: The National Academies Press. doi: 10.17226/9751.

There was a problem loading page 27.

Suggested Citation: "2 Families of Items in the NAEP Mathematics Assessment." National Research Council. 2000. Grading the Nation's Report Card: Research from the Evaluation of NAEP. Washington, DC: The National Academies Press. doi: 10.17226/9751.

There was a problem loading page 28.

Suggested Citation: "2 Families of Items in the NAEP Mathematics Assessment." National Research Council. 2000. Grading the Nation's Report Card: Research from the Evaluation of NAEP. Washington, DC: The National Academies Press. doi: 10.17226/9751.

There was a problem loading page 29.

Suggested Citation: "2 Families of Items in the NAEP Mathematics Assessment." National Research Council. 2000. Grading the Nation's Report Card: Research from the Evaluation of NAEP. Washington, DC: The National Academies Press. doi: 10.17226/9751.

There was a problem loading page 30.

Suggested Citation: "2 Families of Items in the NAEP Mathematics Assessment." National Research Council. 2000. Grading the Nation's Report Card: Research from the Evaluation of NAEP. Washington, DC: The National Academies Press. doi: 10.17226/9751.

There was a problem loading page 31.

Suggested Citation: "2 Families of Items in the NAEP Mathematics Assessment." National Research Council. 2000. Grading the Nation's Report Card: Research from the Evaluation of NAEP. Washington, DC: The National Academies Press. doi: 10.17226/9751.

There was a problem loading page 32.

Suggested Citation: "2 Families of Items in the NAEP Mathematics Assessment." National Research Council. 2000. Grading the Nation's Report Card: Research from the Evaluation of NAEP. Washington, DC: The National Academies Press. doi: 10.17226/9751.

There was a problem loading page 33.

Suggested Citation: "2 Families of Items in the NAEP Mathematics Assessment." National Research Council. 2000. Grading the Nation's Report Card: Research from the Evaluation of NAEP. Washington, DC: The National Academies Press. doi: 10.17226/9751.

There was a problem loading page 34.

Suggested Citation: "2 Families of Items in the NAEP Mathematics Assessment." National Research Council. 2000. Grading the Nation's Report Card: Research from the Evaluation of NAEP. Washington, DC: The National Academies Press. doi: 10.17226/9751.

There was a problem loading page 35.

Suggested Citation: "2 Families of Items in the NAEP Mathematics Assessment." National Research Council. 2000. Grading the Nation's Report Card: Research from the Evaluation of NAEP. Washington, DC: The National Academies Press. doi: 10.17226/9751.

There was a problem loading page 36.

Suggested Citation: "2 Families of Items in the NAEP Mathematics Assessment." National Research Council. 2000. Grading the Nation's Report Card: Research from the Evaluation of NAEP. Washington, DC: The National Academies Press. doi: 10.17226/9751.

There was a problem loading page 37.

Suggested Citation: "2 Families of Items in the NAEP Mathematics Assessment." National Research Council. 2000. Grading the Nation's Report Card: Research from the Evaluation of NAEP. Washington, DC: The National Academies Press. doi: 10.17226/9751.

There was a problem loading page 38.

Suggested Citation: "2 Families of Items in the NAEP Mathematics Assessment." National Research Council. 2000. Grading the Nation's Report Card: Research from the Evaluation of NAEP. Washington, DC: The National Academies Press. doi: 10.17226/9751.

There was a problem loading page 39.

Suggested Citation: "2 Families of Items in the NAEP Mathematics Assessment." National Research Council. 2000. Grading the Nation's Report Card: Research from the Evaluation of NAEP. Washington, DC: The National Academies Press. doi: 10.17226/9751.

There was a problem loading page 40.

Suggested Citation: "2 Families of Items in the NAEP Mathematics Assessment." National Research Council. 2000. Grading the Nation's Report Card: Research from the Evaluation of NAEP. Washington, DC: The National Academies Press. doi: 10.17226/9751.

There was a problem loading page 41.

Suggested Citation: "2 Families of Items in the NAEP Mathematics Assessment." National Research Council. 2000. Grading the Nation's Report Card: Research from the Evaluation of NAEP. Washington, DC: The National Academies Press. doi: 10.17226/9751.

There was a problem loading page 42.

Suggested Citation: "2 Families of Items in the NAEP Mathematics Assessment." National Research Council. 2000. Grading the Nation's Report Card: Research from the Evaluation of NAEP. Washington, DC: The National Academies Press. doi: 10.17226/9751.

There was a problem loading page 43.

Suggested Citation: "2 Families of Items in the NAEP Mathematics Assessment." National Research Council. 2000. Grading the Nation's Report Card: Research from the Evaluation of NAEP. Washington, DC: The National Academies Press. doi: 10.17226/9751.
Page 5
Suggested Citation: "2 Families of Items in the NAEP Mathematics Assessment." National Research Council. 2000. Grading the Nation's Report Card: Research from the Evaluation of NAEP. Washington, DC: The National Academies Press. doi: 10.17226/9751.
Page 6
Suggested Citation: "2 Families of Items in the NAEP Mathematics Assessment." National Research Council. 2000. Grading the Nation's Report Card: Research from the Evaluation of NAEP. Washington, DC: The National Academies Press. doi: 10.17226/9751.
Page 7
Suggested Citation: "2 Families of Items in the NAEP Mathematics Assessment." National Research Council. 2000. Grading the Nation's Report Card: Research from the Evaluation of NAEP. Washington, DC: The National Academies Press. doi: 10.17226/9751.
Page 8
Suggested Citation: "2 Families of Items in the NAEP Mathematics Assessment." National Research Council. 2000. Grading the Nation's Report Card: Research from the Evaluation of NAEP. Washington, DC: The National Academies Press. doi: 10.17226/9751.
Page 9
Suggested Citation: "2 Families of Items in the NAEP Mathematics Assessment." National Research Council. 2000. Grading the Nation's Report Card: Research from the Evaluation of NAEP. Washington, DC: The National Academies Press. doi: 10.17226/9751.
Page 10
Suggested Citation: "2 Families of Items in the NAEP Mathematics Assessment." National Research Council. 2000. Grading the Nation's Report Card: Research from the Evaluation of NAEP. Washington, DC: The National Academies Press. doi: 10.17226/9751.
Page 11
Suggested Citation: "2 Families of Items in the NAEP Mathematics Assessment." National Research Council. 2000. Grading the Nation's Report Card: Research from the Evaluation of NAEP. Washington, DC: The National Academies Press. doi: 10.17226/9751.
Page 12
Suggested Citation: "2 Families of Items in the NAEP Mathematics Assessment." National Research Council. 2000. Grading the Nation's Report Card: Research from the Evaluation of NAEP. Washington, DC: The National Academies Press. doi: 10.17226/9751.
Page 13
Suggested Citation: "2 Families of Items in the NAEP Mathematics Assessment." National Research Council. 2000. Grading the Nation's Report Card: Research from the Evaluation of NAEP. Washington, DC: The National Academies Press. doi: 10.17226/9751.
Page 14
Suggested Citation: "2 Families of Items in the NAEP Mathematics Assessment." National Research Council. 2000. Grading the Nation's Report Card: Research from the Evaluation of NAEP. Washington, DC: The National Academies Press. doi: 10.17226/9751.
Page 15
Suggested Citation: "2 Families of Items in the NAEP Mathematics Assessment." National Research Council. 2000. Grading the Nation's Report Card: Research from the Evaluation of NAEP. Washington, DC: The National Academies Press. doi: 10.17226/9751.
Page 16
Suggested Citation: "2 Families of Items in the NAEP Mathematics Assessment." National Research Council. 2000. Grading the Nation's Report Card: Research from the Evaluation of NAEP. Washington, DC: The National Academies Press. doi: 10.17226/9751.
Page 17
Suggested Citation: "2 Families of Items in the NAEP Mathematics Assessment." National Research Council. 2000. Grading the Nation's Report Card: Research from the Evaluation of NAEP. Washington, DC: The National Academies Press. doi: 10.17226/9751.
Page 18
Suggested Citation: "2 Families of Items in the NAEP Mathematics Assessment." National Research Council. 2000. Grading the Nation's Report Card: Research from the Evaluation of NAEP. Washington, DC: The National Academies Press. doi: 10.17226/9751.
Page 19
Suggested Citation: "2 Families of Items in the NAEP Mathematics Assessment." National Research Council. 2000. Grading the Nation's Report Card: Research from the Evaluation of NAEP. Washington, DC: The National Academies Press. doi: 10.17226/9751.
Page 20
Suggested Citation: "2 Families of Items in the NAEP Mathematics Assessment." National Research Council. 2000. Grading the Nation's Report Card: Research from the Evaluation of NAEP. Washington, DC: The National Academies Press. doi: 10.17226/9751.
Page 21
Suggested Citation: "2 Families of Items in the NAEP Mathematics Assessment." National Research Council. 2000. Grading the Nation's Report Card: Research from the Evaluation of NAEP. Washington, DC: The National Academies Press. doi: 10.17226/9751.
Page 22
Suggested Citation: "2 Families of Items in the NAEP Mathematics Assessment." National Research Council. 2000. Grading the Nation's Report Card: Research from the Evaluation of NAEP. Washington, DC: The National Academies Press. doi: 10.17226/9751.
Page 23
Suggested Citation: "2 Families of Items in the NAEP Mathematics Assessment." National Research Council. 2000. Grading the Nation's Report Card: Research from the Evaluation of NAEP. Washington, DC: The National Academies Press. doi: 10.17226/9751.
Page 24
Suggested Citation: "2 Families of Items in the NAEP Mathematics Assessment." National Research Council. 2000. Grading the Nation's Report Card: Research from the Evaluation of NAEP. Washington, DC: The National Academies Press. doi: 10.17226/9751.
Page 25
Suggested Citation: "2 Families of Items in the NAEP Mathematics Assessment." National Research Council. 2000. Grading the Nation's Report Card: Research from the Evaluation of NAEP. Washington, DC: The National Academies Press. doi: 10.17226/9751.
Page 26
Suggested Citation: "2 Families of Items in the NAEP Mathematics Assessment." National Research Council. 2000. Grading the Nation's Report Card: Research from the Evaluation of NAEP. Washington, DC: The National Academies Press. doi: 10.17226/9751.
Page 27
Suggested Citation: "2 Families of Items in the NAEP Mathematics Assessment." National Research Council. 2000. Grading the Nation's Report Card: Research from the Evaluation of NAEP. Washington, DC: The National Academies Press. doi: 10.17226/9751.
Page 28
Suggested Citation: "2 Families of Items in the NAEP Mathematics Assessment." National Research Council. 2000. Grading the Nation's Report Card: Research from the Evaluation of NAEP. Washington, DC: The National Academies Press. doi: 10.17226/9751.
Page 29
Suggested Citation: "2 Families of Items in the NAEP Mathematics Assessment." National Research Council. 2000. Grading the Nation's Report Card: Research from the Evaluation of NAEP. Washington, DC: The National Academies Press. doi: 10.17226/9751.
Page 30
Suggested Citation: "2 Families of Items in the NAEP Mathematics Assessment." National Research Council. 2000. Grading the Nation's Report Card: Research from the Evaluation of NAEP. Washington, DC: The National Academies Press. doi: 10.17226/9751.
Page 31
Suggested Citation: "2 Families of Items in the NAEP Mathematics Assessment." National Research Council. 2000. Grading the Nation's Report Card: Research from the Evaluation of NAEP. Washington, DC: The National Academies Press. doi: 10.17226/9751.
Page 32
Suggested Citation: "2 Families of Items in the NAEP Mathematics Assessment." National Research Council. 2000. Grading the Nation's Report Card: Research from the Evaluation of NAEP. Washington, DC: The National Academies Press. doi: 10.17226/9751.
Page 33
Suggested Citation: "2 Families of Items in the NAEP Mathematics Assessment." National Research Council. 2000. Grading the Nation's Report Card: Research from the Evaluation of NAEP. Washington, DC: The National Academies Press. doi: 10.17226/9751.
Page 34
Suggested Citation: "2 Families of Items in the NAEP Mathematics Assessment." National Research Council. 2000. Grading the Nation's Report Card: Research from the Evaluation of NAEP. Washington, DC: The National Academies Press. doi: 10.17226/9751.
Page 35
Suggested Citation: "2 Families of Items in the NAEP Mathematics Assessment." National Research Council. 2000. Grading the Nation's Report Card: Research from the Evaluation of NAEP. Washington, DC: The National Academies Press. doi: 10.17226/9751.
Page 36
Suggested Citation: "2 Families of Items in the NAEP Mathematics Assessment." National Research Council. 2000. Grading the Nation's Report Card: Research from the Evaluation of NAEP. Washington, DC: The National Academies Press. doi: 10.17226/9751.
Page 37
Suggested Citation: "2 Families of Items in the NAEP Mathematics Assessment." National Research Council. 2000. Grading the Nation's Report Card: Research from the Evaluation of NAEP. Washington, DC: The National Academies Press. doi: 10.17226/9751.
Page 38
Suggested Citation: "2 Families of Items in the NAEP Mathematics Assessment." National Research Council. 2000. Grading the Nation's Report Card: Research from the Evaluation of NAEP. Washington, DC: The National Academies Press. doi: 10.17226/9751.
Page 39
Suggested Citation: "2 Families of Items in the NAEP Mathematics Assessment." National Research Council. 2000. Grading the Nation's Report Card: Research from the Evaluation of NAEP. Washington, DC: The National Academies Press. doi: 10.17226/9751.
Page 40
Suggested Citation: "2 Families of Items in the NAEP Mathematics Assessment." National Research Council. 2000. Grading the Nation's Report Card: Research from the Evaluation of NAEP. Washington, DC: The National Academies Press. doi: 10.17226/9751.
Page 41
Suggested Citation: "2 Families of Items in the NAEP Mathematics Assessment." National Research Council. 2000. Grading the Nation's Report Card: Research from the Evaluation of NAEP. Washington, DC: The National Academies Press. doi: 10.17226/9751.
Page 42
Suggested Citation: "2 Families of Items in the NAEP Mathematics Assessment." National Research Council. 2000. Grading the Nation's Report Card: Research from the Evaluation of NAEP. Washington, DC: The National Academies Press. doi: 10.17226/9751.
Page 43
Next Chapter: 3 Student Thinking and Related Assessment: Creating a Facet-Based Learning Environment
Subscribe to Email from the National Academies
Keep up with all of the activities, publications, and events by subscribing to free updates by email.