Within a group of advanced learners, the variety of abilities, talents, interests, and learning styles can be formidable. For the first time, this book connects the unique learning differences among gifted students to the specific teaching methods used to tailor their educational experiences. Differentiated instruction for gifted and talented…

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)

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)

Conventional instruction in critical thinking may ignore the creative and intuitive functions of rationality, thereby encouraging a mechanically rote approach to textual analysis, problem solving, and problem construction. Such an overemphasis upon logical "calculus of justification" functions has epistemological weaknesses and pedagogical…

Provides two exercises in abstract problem solving. Intended to parallel a physicist's approach to the solution of a law of nature, the activities are open ended without definite answers. (CP)

This study found that 33 children (ages 7-16) with learning disabilities were deficient in their inferential skills compared to normally achieving children but were not deficient in the metacognitive skill of paying attention to errors. Results also indicated that LD children do not constitute a homogeneous group. (JDD)

Panoramic scanning is the capacity to perceive, interpret, and appreciate complex problems from a big-picture vantage point. Barriers to panoramic scanning (sensory bombardment, superficial polarized thought, and tunnel vision) and facilitators (broad interests and knowledge, pattern finding, and connection-making skills) are identified. Educators…

Compares two approaches to the teaching of mathematics, rote versus reasoning. Discusses the way to teach mathematics as reasoning in elementary classroom as stated in the NCTM Standards. (YP)

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…

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 paper provides a brief overview of some of the current thought on teaching problem-solving and decision-making skills and presents selected exercises that have been used successfully in a graduate course in problem-solving and decision-making strategies. In addition to learning theories that are presented in order to help learners understand…

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)

In this interview, author Art Costa asserts that the teaching of either content or thinking skills in isolation is unproductive. To combine these approaches, he recommends selecting content for its relationship to thought processes. He also observes that administrators who model intelligent behavior thereby create a climate for thinking. (TE)

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…