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)

Proposes analogy as the central mechanism of knowledge acquisition in formal domains. Discusses experimental data on preschoolers' knowledge of one-to-one correspondence and college students' understanding of force decomposition. Suggests that a knowledge base domain is a thematically organized knowledge structure and that thematic relations in a…

Discusses how students generate meanings for mathematical word problems, develops a generative predicational model to account for students' comprehension of word problems, and describes an empirical study of Israeli sixth graders that was designed to test the model. Talk aloud protocols of the students are analyzed, and hypotheses tested are…

At a middle school in suburban Pittsburgh, Pennsylvania, administrators and teachers used the cognitive domain of the National Association of Secondary School Principals' Learning Style Profile to design "products" that helped compensate for underachieving sixth and seventh graders' skill deficits in mathematics and science. Success…

This paper comments on EC 603 157, which discusses cognitive and metacognitive strategy instruction on mathematical problem solving of middle school students with learning disabilities. The commentary analyzes the separability of cognition and metacognition and raises questions about the identifiable components that contribute to the effectiveness…