Discussed are some applications of mathematics involved in actuarial science which may be taught in high school mathematics classes. Described are the importance of approximate solutions, multiple answers, and selling the solution to a problem. (CW)

Discusses paradigmatic teaching, or teaching for analogical transfer, which requires teaching a basic structure by appropriate examples, as well as teaching its application in various fields and contexts. Examples for problem solving, inductive thinking, and learning to learn are given, and a training program with adult learners is described. (15…

Describes an approach to genre analysis that aims to complement existing descriptions of genres by focusing on semantic relationships between structural elements in texts. The article presents the theoretical background to the approach and then describes an example of its application within the context of the language-learning classroom. (45…

A strategy for transferring learning from adventure experiences to daily life situations incorporates the use of isomorphs and metaphors. Explains how to develop isomorphic frames and select metaphoric experiences that can be used in adventure programming, especially with clients in therapy. (LP)

Community college students with learning disabilities (n=38) and math-competent peers (n=22) were taught representation-related strategies for solving compare word problems. Results generally supported the hypothesis that students receiving schema training would improve more than students assigned to linguistic training. (JDD)

Presents a historical overview of visualization as a cognitive strategy in human creativity, discovery, and problem-solving. Highlights include visualization as a cognitive strategy for solving everyday problems; visualization by scientists and inventors; counter examples; and implications for multimedia learning environments, instructional…

Presents ongoing research for constructing formal models of learning in rich problem-solving domains. The underlying framework for the research is aimed at integrating models of active, goal-oriented learning processes with theories of problem-solving and cognitive skill development. Indicates that the particular self-explanation and…

Introduces a method for gathering process information related to computer simulations and examines changes in learners' responses as a means of understanding the kind of learning that occurs within the simulations. Data gathered from 87 undergraduate education majors using simulations that teach the application of behavior analysis procedures for…

Describes a study to determine middle school children's representational strategies to form part-whole or part-part relationships for relational numbers such as proportions, ratios, or fractions. Quantitative and qualitative analysis revealed that children prefer a part-part representation to solve relational quantity problems. (15 references)…

Provides new evidence for mathematical problem-solving abilities of preschool children. These problem-solving behaviors occurred in a study of sharing of discrete items by dealing, in which we examined the abilities of three categories of counters to solve a discrete redistribution problem. Identifies problem-solving strategies used in the context…

Because of the importance of problem-solving skills in mathematics instruction of children with learning disabilities, this article offers guidance on teaching heuristic global strategies, including use of analogy, annotating problems, detail analysis, deletion of details, detail sorting, symbolizing operations, and designating formulas. (DB)

This article describes the factors to which the classroom teacher needs to attend to enhance the mathematical problem-solving abilities of students. Emphasis is placed upon the means necessary to develop the attribute of being a problem solver, rather than focusing on the goal of becoming a problem solver. (JJK)

Presents study results suggesting some malleability in learning strategies that flow from cognitive style. Examines the effects and practicability of restructuring training as a means of addressing individual learner differences. Reports that training enhanced performance on two dependent measures tasks. Concludes that field-dependent learners…

Presents a problem solving strategy developed by a second grade student that goes beyond modeling an intuitive or informal interpretation of an operation to solve division problems. Concludes that good teaching should build on pupil's existing preinstruction knowledge and recognize a pupil's attempts at creative solutions. (MDH)

A personal experience is described concerning problem solving that incorporates the computer to help generate multiple examples of proposed conjectures as solutions. The positive potential of technology to allow students of mathematics to experience the process of discovering mathematics through conjecture and generalization is emphasized. (MDH)