Synthesizes research on reasoning development and studies of teaching in order to present an approach to teaching guided thinking. (SRT)

Results of seventh-grade students taking Scholastic Aptitude Test indicate that, by age 13, a large sex difference in mathematical reasoning ability exists; among students scoring greater than 700, boys outnumbered girls 13 to 1. Hypothesized factors thought to influence the difference (such as course taking, attitudes) were not supported by data…

Students with or without disabilities often experience difficulties with abstract math concepts. This paper is intended to help solve the mystery of math concepts through origami construction, a hands-on activity. Students are involved in constructing and deconstructing concepts by folding and unfolding a piece of paper which eventually leads to a…

Examines changes in the broad cultural background which provide the context for thinking, and how such life-style changes may have influenced the decline of reasoning skills and styles fundamental to the sciences. Considers peasant/rural farming, new world, and postaffluent society life-styles and science education in the latter. (Author/SK)

A cognitive-based system of analysis of spoken discourse was designed to provide details about the way pupils think and talk about issues arising from prose material. Written and spoken responses were analyzed to examine the effects of intellectual ability, differences in the stimulus passage, and prior small group discussion. (Note: Page…

This study reports the characteristics of the 4,751 high school students (out of 374,527) who achieved perfect scores in 1 or more subtests of the 1991 PLAN academic performance test, an academic assessment of 10th graders. Comparisons by gender, ethnicity, and subtest (English, Mathematics, Reading, and Science Reasoning) and a profile of…

Describes the importance of learning to connect separate universes of knowledge into a coherent whole. It is a mistake to emphasize connecting schools to the Internet without considering the kinds of thinking processes students need in order to learn from the information they access. (LMI)

Discussed are possible reasons behind the inconsistencies in the learning of calculus. Implicated are students' beliefs, mathematical paradigms including concept image and concept definition, language use, and curriculum sequencing. (KR)

Discussed are the issues of inconsistencies and compartmentalization and the use of inconsistencies in the classroom. Included are discussions on paradoxes, the naive student, logical reasoning ability, and the development of the students' cognitive structures. (KR)

Discusses a system of classification for students' inconsistent ideas in mathematics, the sources of students' mathematical inconsistency, and instructional strategies for helping students to resolve apparent learning inconsistencies. Language, curriculum, and instruction are included in the discussion. (KR)

Compared the use of conditional logic in adult-adult and adult-child conversation. Results indicated that conversation patterns and inferences were similar except that children made fewer independent inferences and shifts in taxonomic level and responded more frequently to socially controlling statements than did adults. (AA)

Describes the Plane Geometry System computer software developed at the Educational Computer Systems laboratory in Sofia, Bulgaria. The system enables students to use the concept of "algorithm" to correspond to the process of "deductive proof" in the development of plane geometry. Provides an example of the software's capability…

Explores the role that symbolic-graphical calculators can play in the current calls for reform in the mathematics curriculum. Discusses symbolic calculators and graphing calculators in relation to problem solving, computational skills, and mathematics instruction. (MDH)

This article compares measures of abstract thinking preference and divergent thinking to standard mathematics ability measures such as the Scholastic Aptitude Test (SAT). In this study involving gifted tenth graders, mathematical creativity was found to be a special kind of creativity not necessarily related to divergent thinking ability. (PB)

There have been few discoveries in geology more important than "deep time"--the understanding that the universe has existed for countless millennia, such that man's existence is confined to the last milliseconds of the metaphorical geological clock. The influence of deep time is felt in a variety of sciences including geology, cosmology,…