Research relevant to improving instruction for learning disabled students with mathematical problem solving deficits is reviewed. Using a cognitive-metacognitive framework, techniques for teaching both specific and comprehensive mathematical problem solving strategies as well as techniques to enhance strategy generalization are presented.…

Described are how students (n=2,000) reduce the complexity of multivariable problems. Tendencies toward "functional reduction" in common reasoning are shown to range from a simple reduction in the number of variables considered, to a more elaborate procedure where all variables are taken into account, but in a simplified way involving…

Three gifted and three learning-disabled gifted students (ages 13-15) viewed themselves on videotape solving mathematical problems and responded to questions pertaining to their problem-solving strategies. The non-learning-disabled students applied substantially more cognitive and metacognitive knowledge to the problem-solving task. (Author/DB)

Examined the effects of instruction in bridging and problem-solving strategy, 2 specific components of mediational instruction, on behaviors of 10- and 11-year-old children during LOGO programing tasks. Describes two case studies demonstrating typical differences between children's performances under the different learning conditions. Supports the…

In a study of children's use of encoding and strategy knowledge in domains in which problem-specific experience is lacking, children were tested for serial recall. Seven- and nine-year olds encoded contiguity relations, and encoding was related to strategy choices. Less consistent encoding of five-year olds did not influence strategy choices. (BC)

Students with language and learning disabilities may have difficulty solving mathematics word problems. Use of a sequential checklist, identifying clues and keywords, and illustrating a problem can all help the student identify and implement the correct computational process. (DB)

Describes an exercise that uses riddles to expose students to important aspects of the process and experience of scientific thinking. Contends that the exercise allows students to examine their thought processes and to view scientific questions from different perspectives. Reports positive student reaction. (DB)

Examines the teaching journal of a first-year chemistry teacher to understand how teachers create professional identities. Focuses on three dilemmas related to feeling like a student versus the expectation to act like an adult, wanting to care for students rather than be tough, and feeling incompetent in the subject matter. Contains 47 references.…

Examines the effect of the manipulation of logical structure as well as the specific mental demand of general chemistry problems on student performance. Studies the relationship between student performance on these problems and a number of cognitive variables. Contains 96 references. (DDR)

Teaching an eight-year-old girl with learning difficulties a more advanced addition strategy through multicomponent self-regulation training and a self-instructional model resulted in more rapid problem solving, fewer learning errors, and the acquisition of even more advanced addition strategies. (SLD)

Presents a process model developed for interaction and mathematical level raising focusing on the individual learning process and relates this model to research. The model is meant to show how level raising can be realized by allowing students to work in small groups on a mathematical problem. Contains 24 references. (Author/ASK)

Describes a study of high school students that investigated the kind of knowledge bases mathematics students can develop and the difficulties that may appear. Discusses knowledge-base development within LISD (Learning through Intelligent Software Development), an approach to teaching and learning mathematical problem solving, specifically word…

Provides examples of student work on a problem which shows that students solve problems in several different ways. Discusses challenges to the teacher that might result from problems such as these. (ASK)

Reviews the approaches presented in the Self-Paced Study of Strategies Useful for Solving Word Problems in the Physical and Biological Sciences that can be used by students to successfully solve word problems encountered in any entry-level science course. Describes the topics covered in five "study sessions" that allow the students to practice the…

Argues that students are conditioned by years of multiple-choice testing to use only simple recall and view knowledge as an uncataloged museum full of independent facts that are collected, recited, and left to gather dust. (DDR)