This document includes instructional tips on: (1) Building on students' informal understanding of sharing and proportionality to develop initial fraction concepts; (2) Helping students recognize that fractions are numbers that expand the number system beyond whole numbers, and using number lines to teach this and other fraction concepts; (3)…

The National Center for Leadership in Intensive Intervention (NCLII), a consortium funded by the Office of Special Education Programs (OSEP), prepares special education leaders to become experts in research on intensive intervention for students with disabilities who have persistent and severe academic (e.g., reading and math) and behavioral…

Identifies how researchers have defined active learning, and synthesizes current findings on the instructional designs that facilitate hands-on problem solving. Proposes three additional areas of inquiry into the instructional needs of active learners. (SR)

Much of the emphasis in this handbook is on helping students develop investigative, problem-solving, and thinking skills, but the importance of students' working together in a cooperative and democratic setting to solve problems is also stressed. Cooperative learning is an instructional tool that can often be used to the student's advantage. Part…

This article presents a graduated word problem sequence in mathematics, beginning with simple words; progressing to phrases, sentences, and paragraphs; advancing to paragraph word problems with extraneous information; and finally having students create their own word problems. Results from 67 elementary students with learning disabilities support…

This study investigated the effectiveness of a schema strategy on the mathematical word-problem-solving performance of four sixth- and seventh-grade students with learning disabilities. The schema strategy led to substantially improved word-problem-solving performance for all four students and these results were maintained at two- and four-week…

This article offers guidelines and suggestions for adapting mathematics instruction when teaching students with learning disabilities in the general classroom. Techniques for teaching computational skills, solving algorithms, and problem solving are offered. General techniques include increasing instructional time, varying group size, and using…

Instruction in thinking skills is possible and desirable, but educators must guard against assumptions that undermine the process. Eight fallacies that obstruct the teaching of critical thinking skills are presented. (MD)

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…

This paper identifies five types of learning experiences which are relevant to understanding students' grasp of concepts and principles. These include exploring existing concepts, honing and clustering concepts, developing analytical and reasoning skills, developing problem solving skills, and structuring knowledge in memory. Each of these…

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…

Describes the case study method as a form of simulation and presents guidelines for their use in professional training situations. Skill development in problem solving is highlighted as a reason to use case studies; steps in creating a case are outlined; and the effectiveness of case studies is discussed. (LRW)

Argues that construction of knowledge bases is an instructional tool that encourages students' critical thinking in problem solving situations through metacognitive experiences. A study is described in which college students created expert systems to test the effectiveness of this method of instruction, and benefits for students and teachers are…

Evaluates the effectiveness of a sixth grade experimental language arts program designed to teach higher-level thinking skills. Reports on different types of instruments for measuring higher-level thinking skills, including verbal and nonverbal tests of divergent thinking, a nonverbal test of flexible thinking, and a verbal divergent production…

Teaching the Internet is hard because the technology keeps changing, the system is complex, the environment is relatively unstable, and it is hard to know how much one needs to know in order to successfully use the Internet. The Internet is a pseudo-complex knowledge domain--the "rules" vary, and it is hard to tell which are the…