Five articles explore various theoretical aspects of problems and problem solving skills. Highlights include strategies to learn problem solving skills; knowledge structures; metacognition; behavioral processes and cognitive psychology; erotetic logic; creativity as an aspect of computer problem solving; and programing as a problem-solving…

Whether male and female high school students of high mathematics ability use different solution strategies on problems whose responses had previously shown gender differences was studied with 25 males and 22 females. Females were more likely to use conventional problem-solving strategies, and the use of conventional strategies was associated with…

Describes an instructional framework for teaching advanced cognitive skills in postsecondary education, highlighting specific teaching strategies that community and technical college educators may use to encourage critical thinking among students. Includes a description of content, teaching methodologies, and sequence of student development.…

Observed behaviors of 37 female and 23 male Australian preschoolers. Found that only 20% engaged in thematic pretend play (linked to perspective taking, language development, impulse control, divergent problem solving) whereas 24% used cooperative social play (linked to divergent problem solving). Results suggest need for assistance in the…

This article outlines the last step in a five-step process for preparing students to engage in a systematic mathematics problem-solving and decision-making process. The lesson plan teaches students to reread the problem, reexamine the question, check selection of operation, and recheck calculations and compare answers. (JDD)

Describes the Secant Method, a numerical method to approximate solutions to equations for which symbolic solution methods do not apply. Illustrates the method using the EXCEL spreadsheet program. Discusses instructional implications of utilizing this method. (MDH)

Presents two teaching ideas for mathematics instruction. The first employs "mind maps" as a method to help students learn, record, and recall mathematical information. Provides examples for solving quadratic equations and complex numbers. The second discusses two ways to find the average speed during a trip employing differing constant…

Twelve middle school students, working in pairs, used a computer microworld to explore introductory geometric transformational concepts. Despite a tendency for symbolic overgeneralization, the students were able to use visual feedback from the microworld and discussions with partners to correct their own mistakes. (Author/JJK)

This paper comments on EC 603 157, which discusses cognitive and metacognitive strategy instruction on mathematical problem solving of middle school students with learning disabilities. The commentary analyzes the separability of cognition and metacognition and raises questions about the identifiable components that contribute to the effectiveness…

Describes how teachers can transform self-regulated learning theory and research into classroom practice. Defines the concept and discusses the costs of encouraging student dependency, the benefits of nurturing student self-regulation, and implementation recommendations. Teachers should model self-regulatory attitudes and behaviors, incorporate…

This continuation of a study that explored the information behavior of scientists focuses on a joint analysis of the Kirton Adaptation-Innovation Inventory (KAI) and the Learning Styles Questionnaire (LSQ), which were used to investigate the cognitive styles, problem-solving styles, creative styles, and learning styles of the scientists. (59…

A study asked 24 first grade children from 3 different classes to write number sentences and select appropriate alternative number sentences for addition and subtraction word problems. Results indicated that children could be characterized into five clusters according to their flexibility in accepting alternative number sentences and that…

The potential of concept mapping, a learning strategy, coupled with assessments oriented toward problem solving used to facilitate meaningful learning, is examined. How students make and use concept maps in studying and the factors that influence the way they are made and used are discussed. Sample concept maps are included. (KR)

Describes experiences of a fifth grade teacher who converted her classroom to a whole language teaching and learning environment. In her child-centered classroom, she emphasizes student empowerment and decision making, cooperative learning, and flexibility. Her top priority is for students to participate and learn critical thinking and…

Discusses prerequisites that help students develop multiple strategies for solving problems as recommended in the National Council of Teachers of Mathematics'"Curriculum and Evaluation Standards." Presents two examples of activities involving addition, subtraction, and permutations that promote multiple strategies. Suggests ways to…