The study reported in this paper is an attempt to develop a comprehensive model of measuring problem solving and posing (PSP) skills based on Marshall's schema theory (ST). A battery of tests on PSP skills was administered to 5th and 6th grade Cypriot students (n=2519). The Rasch model was used and a scale was created for the battery of tests and…

Undergraduate students' written exams were analyzed from a freshman-level mathematics course that emphasized, among other topics, the study of mathematical logic. Findings indicate that on questions related to the negation of a conditional sentence, students performed much better when given natural-language contexts than they did on questions…

This technical report from the National Assessment of Educational Progress (NAEP) 1996 State Assessment Program in Mathematics presents fourth- and eighth-grade cross-state results of the NAEP 1996 State Assessment in mathematics. However, no interpretations of the data are included. This report does include the revised results from comparable…

The operating characteristics of 114 mathematics pretest items from the Praxis I: Computer Based Test were analyzed in terms of item attributes and test developers' judgments of item difficulty. Item operating characteristics were defined as the difficulty, discrimination, and asymptote parameters of a three parameter logistic item response theory…

The second volume of this proceedings contains full research articles. Papers include: (1) "Lave and Wenger's social practice theory and teaching and learning school mathematics" (J. Adler); (2) "Being a researcher and being a teacher" (J. Ainley); (3) "Procedural and conceptual aspects of standard algorithms in…

The third volume of this proceedings contains full research articles. Papers include: (1) "A longitudinal study of children's fraction representations and problem-solving behavior" (G.A. Goldin and C.B. Passantino); (2) "Psychology students' conceptions of a statistics course" (S. Gordon, J. Nicholas, and K. Crawford); (3)…

The fourth volume of this proceedings contains full research articles. Papers include: (1) "Conceptual and procedural approaches to problem-solving" (Y. Mohammad-Yusof and D. Tall); (2)"Teaching differential equations to chemistry and biology students: An overview on methodology of qualitative research. A case study" (M. Moreno and C. Azcarate);…

This manual contains information regarding the administration of the Oregon Statewide Assessment Program's tests in writing and mathematics problem-solving. Parts of the manual address (1) background and preparation for testing; (2) administering the writing assessment; (3) administering the mathematics problem-solving assessment; (4) local rater…

Educators need to learn more about the impact of computers and calculators on content and methods of college mathematics instruction. Experience suggests this interactive technology encourages active participation in learning, resulting in learner sense of ownership. Technology allows visualization, promotes exploration of various methods of…

Describes the types of problems young children generated in problem-posing situations as they worked, on a one-to-one basis, with a student teacher. Indicates that problem-posing actions of students can be nurtured by teachers' actions. (Author/KHR)

Describes grade-appropriate weekly activities designed to appeal directly to students by giving them open-ended questions. Activities may be worked on individually, in pairs, or in small groups. This particular set of activities focuses on stories from literature involving measurement, earning money, marketing a product, and setting up a…

Uses a discrepant event to teach students about volume and area. Outlines directions for class demonstration, needed materials, questions, a story problem, and related activities to perform this assignment. (Author/RT)

Whether male and female high school students of high mathematics ability use different solution strategies on problems whose responses had previously shown gender differences was studied with 25 males and 22 females. Females were more likely to use conventional problem-solving strategies, and the use of conventional strategies was associated with…

Middle-school students were asked to determine the dimensions of a hotel atrium so that guests could enjoy the maximum area of scenic view, given that 650 feet of brass railing could be used around each floor. Several solution approaches are described. (MKR)

Interviewers asked (n=10) 6th- and (n=10) 10th-grade students to solve nonroutine number problems. Task analysis of perseverers, those students who continued after reaching "dead-ends," found that students who were ultimately successful were more inclined to be flexible in their strategies. (28 references) (MKR)