## Can students do mathematical problem solving?: results from constructed-response questions in NAEP's 1992 mathematics assessmentJohn A. Dossey, Ina V. S. Mullis, Chancey O. Jones, United States. Office of Educational Research and Improvement, Educational Testing Service, National Center for Education Statistics U.S. Dept. of Education, Office of Educational Research and Improvement, 1993 - Education - 226 pages In the 1992 mathematics assessment of the National Assessment of Educational Progress (NAEP), approximately one-third of the questions and about half of the student response time were devoted to questions asking students to construct their own responses. Regular constructed response items required a short answer with a problem solution, while extended constructed response required demonstration of student reasoning. Analysis of student papers shows that most made a conscientious effort to respond, but that performance left much to be desired. On regular constructed response questions, the average percent correct by grade level was 42 percent of grade 4, 53 percent of grade 8, and 40 percent of grade 12. For extended constructed response questions, the average percentages of student producing correct responses were 16 percent at grade 4, 8 percent at grade 8, and 9 percent at grade 12. Results indicate that extended constructed response questions can be successfully used in large-scale assessment and that they do signify student proficiency. The levels of performance on multiple-choice items were higher than for constructed responses. Sixty tables present study findings. A procedural appendix explains study methodology, with an additional seven tables. (SLD) |

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100 percent due 1992 Mathematics Assessment 95 percent certainty Advantaged Urban appear in parentheses Appendix for details Arkansas Assessment of Educational better responses calculator Central comparing two estimates Connecticut content area Correct Incorrect Correct Responses Delaware Demographic Subgroups difference see Appendix Disadvantaged Urban Dist due to rounding Educational Progress NAEP Educational Testing Service Emphasis Emphasis estimated percentages appear extended-response questions extended-response tasks Extreme Rural fourth graders Grade 12 Graph Hampshire Hawaii Hispanic Idaho Incorrect No Response lowa minus two standard National Assessment National Percent National Results NCTM Standards Nebraska North Carolina North Dakota Northeast Numbers and Operations pattern Percentage of Correct Performance Category population of interest problem proficiency Rating and Performance regular constructed-response questions Regular Constructed-Response Task Response Nation Results for Demographic Rhode Island rounding error sample satisfactory or better scoring Southeast standard errors Statistics TERRITORIES Guam total 100 percent Trial State Assessment West Virginia whole population Wyoming