Children's natural curiosity should be more adequately satisfied, resarch has suggested--especially in grades 4 to 6. Traditionally, the scope and sequence approach which is a learning-what-others think or have thought rather than a learning-to-think-for-oneself method begins during the middle school years. It is interesting to observe that…

Among the 12 documents selected for this annotated bibliography of documents and journal articles in the ERIC database is an expert's argument that the brain's multipath and multimodal capacities are ignored by educators. Another writer fears that the "back-to-basics" movement may have eclipsed the prominence earlier accorded to thinking…

The "word problem" is stated for a given collection. Facts regarding Dehn's Algorithm, definition of Thue systems, a rewriting system, lemmas and corollaries are provided. The situation is examined where the monoid presented by a finite Thue system is a group. (DC)

Despite the importance accorded to helping students make conceptual connections and arrive at a more sophisticated understanding of how ideas, concepts, theories, and explanations interact with and inform one another, educators have few maps to help them describe the process by which students learn to make these connections. Through skill theory,…

A curriculum model in logic is proposed for learning disabled students based on reasoning and content needs. A diagnostic test with probes yields a profile of the child's reasoning ability and pinpoints areas of strengths and weaknesses. Three levels of instruction are provided: thematic concrete, specific concrete, and abstract. (CL)

A game of noughts and crosses (tic-tac-toe) is used to motivate some mathematical activities. Several "starter" questions for activities are included. (MK)

Presents a model for teaching reasoning using technology in the contexts of algebra and geometry. (MKR)

Presents research findings and teaching implications of mathematics as reasoning and students' reasoning abilities in mathematics. (20 references) (MKR)

Describes four projects that support the transition from an abstract to a concrete notion of the effective use of technology in the secondary school classroom: The Interactive Mathematics Program, Systemic Initiative for Montana Mathematics and Science, University of Chicago School Mathematics Project, and Connected Geometry. (MKR)

Describes the different types of reasoning in scientific research activity. Outlines three different but complementary ways to integrate history into the presentation of science. Considers and illustrates the close historical relationship between mathematics and physics. (Contains 50 references.) (ASK)

Developed in response to deficiencies in verbal and quantitative skills demonstrated by students entering New Jersey colleges and taking the New Jersey Basic Skills Placement Test, this overview is designed to help interested educators orient themselves to the important and rapidly growing field of thinking skills instruction. The Task Force on…

Suggests having students write short summaries using the principles of the journalistic news "lead" to help them sharpen their abstraction skills. Includes samples of data blocks from which students would compose their summaries, kernel sentences from the samples, "kernel" kernel sentences, first draft summaries, and 30-word…

Investigates the concepts of ratio and proportion constructed by grade 9 students by investigating their proportional reasoning schemes and procedures on three types of tasks: missing value, numerical comparison, and qualitative reasoning. Indicates that students frequently used additive reasoning--that is, a comparison of two numbers by…

This document describes the implementation of a practicum intervention designed to improve the analytic abilities of academically above-average fifth and sixth graders in a class that emphasized academic excellence. When students were tested on the development of complex thinking abilities, several areas needing improvement were identified. A…

Explains how teachers can initiate mapping experiences with young children by providing motor experiences inside and outside the classroom. Experiences should be followed by work with three-dimensional models, then with two-dimensional paper, and finally with lines. (Author)