Estimation Skills, Mathematics-in-context, and Advanced Skills in Mathematics: Results from Three Studies of the National Assessment of Educational Progress 1996 Mathematics Assessment

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National Center for Education Statistics, U.S. Department of Education, Office of Educational Research and Improvement, 1999 - Mathematical ability - 274 pages
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This report presents information from three special studies conducted as part of the National Assessment of Educational Progress (NAEP) 1996 mathematics assessment. It is intended primarily for mathematics educators and others concerned with mathematics education, such as curriculum specialists, teachers, and university faculty in schools of education. The three studies reported here were designed to provide greater detail on how students perform on particular types of mathematics questions. Studies include the Estimation Study, the Study of Mathematics-in-Context, and the Study of Students Taking Advanced Courses in Mathematics. The first study was designed to explore students' skills in estimation and was implemented at three grade levels. It concludes that although there has been significant improvement in mathematics performance overall since 1990 at all grade levels, the trend for student performance in estimation over the six years since the inception of the Estimation Study of 1990 is less clear. The second study was designed to assess problem-solving abilities within contexts that allow students to make connections across mathematics content areas. The Advanced study was administered at grades 8 and 12 and was designed to provide students who were taking or had taken advanced courses in mathematics an opportunity to demonstrate their full mathematical proficiency. (Contains 71 tables and figures.) (ASK)

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Contents

Introduction
1
1 Mathematics Framework for the 1996 Assessment
4
Estimation Study
9
1 1996 Estimation Questions by Grade Level and Block
11
4 Average Scale Scores for National NAEP and Estimation Studies
18
Summary
25
1 Student Demographic Distributions by Assessment Grade 4 1996
31
4 Score Percentages for Draw Symmetrical Figure Grade 4
37
24 Student Demographic Distributions by Assessment Grade 12 1996
109
27 Percentage Correct for Find Amount of Down Payment Grade 12
115
30 Score Percentages for Find Amount To Be Financed Grade 12
121
32 Score Percentages for Find Amount Saved if Leased Grade 12
131
Assessment of Performance of Students Taking Advanced
139
1 Student Demographic Distributions Grade 8 1996
141
6 Average Mathematics Scale Scores by Eligibility for Advanced Study
147
9 Score Percentages for Car Wash Supplies Grade 8
154

6 Score Percentages for Solve Packing Problems Grade 4
52
8 Score Percentages for Determine Number of Leaves Grade 4
59
10 Student Demographic Distributions by Assessment Grade 8 1996
66
2 Introduction to the Building a Doghouse Theme Block Grade 8 1996
72
16 Score Percentages for Measure Lengths Using Ruler Grade 8
79
19 Percentage Correct for Understand Concept of Ratio II Grade 8
85
21 Score Percentages for Visualize CutOuts on Grid Grade 8
96
11 Score Percentages for Greatest Profit Expected Grade 8
161
15 Content Emphases in Classes Taken by Advanced Study Students
167
19 Average Mathematics Scale Scores by Eligibility for Advanced Study
172
24 Percentage Correct for Find Resultant Vector Grade 12
186
Appendix A Procedures
1
Appendix B Standard Error Tables
1

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