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…

Sixteen at-risk minority children in a preschool program were tested to assess their performance in programming with LOGO Plus software. When programming concepts and the command structure were presented at developmentally appropriate levels, the subjects performed as well as other samples of preschoolers. The minority children did not exhibit any…

Develops and validates an instrument for determining student preferences for multiple representations of functions and establishes baseline data for future research. Students showed preferences for representations of functions which varied between contextualized and noncontextualized settings. Students' preferences for the two settings were more…

Business managers are faced with complex decisions involving a wide range of issues--technical, social, environmental, and financial--and their interaction. Our education system focuses heavily on presenting structured problems and teaching students to apply a set of tools or methods to solve these problems. Yet the most difficult thing to teach…

In society, there is a growing need for graduates who possess competencies consistent with deep learning. This means that, amongst other competencies, graduates should be capable of dealing with the complexity of the tasks in which they will engage in professional situations. We tried to increase the depth of students' learning by changing the…