Describes the use of chess instruction to develop abstract thinking skills and problem solving among gifted students. Offers suggestions for starting school chess programs, teaching and evaluating chess skills, and measuring the success of both student-players and the program in general. (PB)

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)

Discusses the tutorial process in problem-based learning (PBL) and how it can be used to cultivate higher order thinking skills. Considers the role of the problem, collaboration among peers, the facilitator role, and the importance of student reflection. PBL principles are applied to instruction of gifted students. (DB)

This article describes a 16-session training program to improve analogical reasoning skills in school-age children with language disorders, patterned after R. Sternberg's componential theory of analogical reasoning. Phase I consists of mediated learning experiences in which the instructor focuses on the direct instruction of the component…

This article offers specific strategies to diagnose and remediate difficulties students may have in learning multiplication facts. Analyzes strategies students use to go from a known fact to an unknown fact. The point is made that, for many students, the order of interpretation of a number fact may affect accuracy. (DB)

This article presents specific instructional approaches and examples to develop the algebraic reasoning skills of middle and secondary students with mild disabilities. Discussion of the National Council of Teachers of Mathematics standards identifies general principles, content standards, and process standards. Discussion of effective instruction…

Ten remedial mathematics exercises are provided for children who have failed to integrate or apply their math skills. The exercises provide remediation through systematic experimentation, rather than abstract drills, by using number-configuration distinction with blocks, fractioned candy bars, decimal match sticks, graphed pictures, etc. (JDD)

Concepts from cognitive psychology are presented as an alternative framework to arithmetic instruction for students with disabilities. The approach, which emphasizes reasoning, communication, and problem solving, is applied to addition, division, multiplication, subtraction, and word problems. The purpose of arithmetic instruction is asserted to…

This bulletin offers guidelines to help parents and teachers improve the thinking skills of gifted children. It stresses the importance of encouraging thinking through the use of evocative questions, distinguishes between and defines critical thinking and creative thinking, and offers suggested questions to prompt either creative/divergent…

This article describes a problem-solving strategy unit to be used as a supplement to the regular mathematics curriculum at the primary level. Specific teaching steps and examples are given for three developmental stages of thinking: (1) concrete, (2) representational, and (3) abstract. (DB)

Effective intervention strategies for learning disabled students should recognize such cognitive deficiencies as weaknesses in attention, memory deficits, and problems in generalizing and abstracting information. Approaches which emphasize enhanced learning processes include: self-monitoring; repetition and deliberate instruction in control…

This article describes methods for teaching higher level thinking skills to children. A four-step teaching plan utilizing Beyer's Taxonomy of thinking skills provides a sequential technique for teaching these skills as do increased verbal interaction, skillful questioning, and use of knowledge organizers. The I PLAN strategy can aid decision…

This digest considers the role of personal computers in the education of gifted students. There is evidence that students are working "smarter," whether they are learning and using more information, understanding key concepts and relationships better, or developing higher level thinking skills. Research findings concerning the specific…

In the light of significant changes in contemporary society that demand high level thinking skills of professional workers, this monograph explores the nature of independent thinking and principles of teaching independent thinking, particularly to college freshmen. A section on independent thinking outlines abstract, creative, and systematic…

Reviews a monograph which addresses children's higher-order thinking skills. Suggests the following for teaching problem solving: identify and develop content-independent and content-dependent problem-solving skills, connect developed skills through workshop-style activities to subject discipline, and help students identify and reconstruct their…