Investigates how mathematics is used in various careers. Students explore number sense and operations, logical reasoning, data analysis, and algebra. (Author/NB)

Shows how the phenomenon of instability in the solution of a system of linear equations can be analyzed both algebraically and geometrically. (KHR)

Presents some strategies for successfully implementing tasks that engage students at high cognitive levels. (YDS)

Administered three dynamic tests of largely fluid intellectual ability to 358 experimental-group children in grades 2 through 5 in Tanzania who received instruction in cognitive skills with 100 controls of the same ages who did not receive cognitive skills instruction. Results suggest that children in this study seem to have important intellectual…

Proposes that the qualities of nonsequentiality that make hypertext appealing to writers and readers of informative and literary texts are also those that problematize arguments in the same settings. Contends that for a hypertextual argument to succeed, it should clearly employ the fundamentals of giving good reasons and ample evidence. Presents a…

Describes the development of an introductory theater course which encourages students to fashion well-informed views of plays. Notes that the skills fostered in this course could start students on the road to becoming active, critically informed practitioners in whatever role they chose to take on in production. Explains that the course…

Describes the author's evolution from a teacher set in his ways to one who adapted to students' voices. Contends that classrooms need to be environments where students are able to ask their own questions. Explains that key elements of such an environment include the following: interviews; mini-lessons; multi-genre projects; literature circles;…

Investigates developmental changes in moral reasoning about sibling and parental relationships in Mainland Chinese children. Results suggested universal stage-like progression in moral judgment from superficial to profound. However, culture-specific moral reasoning also existed. Argues that Chinese children's moral characteristics are influenced…

Describes five skill sets students must acquire to be successful in school and in life: personal management; effective studying; thinking, reasoning, and problem-solving; graphic organization; and information processing. (PKP)

Explores the growth of mathematical knowledge and the relationship between abstraction and context. Builds on work to construct a viable model of the micro-evolution of mathematical knowledge in context whose central feature is the visibility of its mechanisms. Illustrates a case study of 10-11-year-old children's construction of meanings for…

Investigates science high achievers' achievement in enrichment physics and logical thinking levels, and analyzes the relationship between logical thinking level and achievement in enrichment physics of high achievers in science. Involves (n=35) 7th and 8th grade junior high school students in the study. Uses the Group Assessment of Logical…

Presents and discusses examples that illustrate the nature and scope of elementary and middle school students' reasoning when they are faced with tasks that involve making inferences and predictions from data. Shows that the range in thinking is not so much dependent on age as on the experiences students have in data exploration. (KHR)

Explores differences between mathematical definitions and non-mathematical definitions by contrasting three approaches to mathematical reasoning. Examines the consequences of the use of those approaches in a first course in real analysis. Analyzes students' reasoning behavior during analysis and suggests reasons for students' difficulties with the…

Suggests that analyses of current assessment practices need to examine the impact that testing has on teaching and the curriculum. Notes that writing assessment drives instruction. Provides basic questions to begin analyses of local and state assessments, and provides one such analysis of Illinois' assessment. Concludes that educators need to help…

Work with 17 teachers conducting cooperative research under the British government's Best Practice Research model identified underlying tensions: conflict between the process of becoming a researcher and focus on findings; relationship between practice and research; the issue of what counts as learning; and conflicting intentions (government focus…