Describes the cognitive processes required to troubleshoot faults and describes an architecture based on that cognitive model for designing learning environments that engage novices in troubleshooting while supporting their construction of requisite knowledge. This model can be applied to different kinds of troubleshooting problems, enhancing the…

Recent research in mathematics instruction underscores the importance of problem solving and higher-level thinking. This article presents four themes in instruction for students with learning disabilities: (1) provide a broad, balanced mathematics curriculum; (2) engage students in meaningful problem tasks; (3) accommodate diverse learning styles;…

Focuses on mental strategies for computing in the middle grades. Describes what they are and why they are important. Refers to relevant research and presents some teaching ideas for developing these strategies beyond the primary grades. Includes a discussion of the role of mental calculation in everyday life both past and future. Contains 27…

Describes how to use a well-known book, "Caps for Sale", with children as a springboard for mathematical problem solving. Presents patterning problems, problems created by the student, problems with a known total and unknown parts, and problems with known parts and an unknown total. (KHR)

Assesses the effects of explicitly teaching for transfer by broadening the categories by which students group problems requiring the same solution methods and prompting students to search novel problems for these broad categories. This transfer treatment was combined with instruction on solution methods. Improvement on immediate- and near-transfer…

Delineates an approach to solving school-wide energy problems. Explains how the educational materials parents had to use with their children had an affect on the behavior of all participants. (DDR)

The initial step of a strategic process for solving mathematical problems, "studying the question," is discussed. A lesson plan for teaching students to identify and revise arithmetic problems is presented, involving directed instruction and supervised practice. (JDD)

Experiments in strategy instruction for mathematics have been conducted using three models (direct instruction, self-instruction, and guided learning) applied to the tasks of computation and word problem solving. Results have implications for effective strategy instruction for learning disabled students. It is recommended that strategy instruction…

Sixteen hearing-impaired adolescents received instruction in the graphics mode of the LOGO computing language. Eight of the students also received strategy training to enhance reflective problem solving and subsequently demonstrated fewer programing errors and improved problem-solving ability with LOGO, compared to controls. Highly impulsive…

The study investigated effects of training 12 adolescents with learning disabilities in a 7-step word identification strategy (using a general problem-solving strategy with specific substrategies) and found significant gains in word identification but inconsistent gains in comprehension. (DB) (DB)

Describes a methodology for creating and using instructional activities enhanced by the use of problem-specific scenarios that include electronic templates for use in both large group and individual modes. Examples of templates used for instruction in planning, decision making, statistical concepts, and software evaluation are presented. (13…

Study explored how analog type and format and learner's prior knowledge would affect transfer outside of an experimental setting, examining the relationship between the analog's contextual elements and high school freshmen's performance on a science problem. Some students spontaneously applied structural elements on the analog to the solution. (SM)

Fourth-grade students (n=45) either with or without learning disabilities and achieving or not achieving at grade level in math were asked to explain strategies used to solve computational problems. Strategies were classified as reproductive or reconstructive (which varied in applicability and efficiency). Significant group differences were found.…

Stresses the importance of teaching physics concepts over having students work on word problems. (MVL)

Provides a list of 33 problem-solving steps extracted from physics textbooks and arranged within the following 3 categories: setup, solution, and checks. (MDH)