This paper is a preliminary inquiry by a non-mathematician into graphic methods of sequential planning and ways in which hierarchical analysis and tree structures can be helpful in developing interest in the use of mathematical modeling in the search for creative solutions to real-life problems. Highlights include a discussion of hierarchical…

Presents concept mapping as an effective tool for developing an integrated curriculum. Includes examples of concept maps that represent an entire veterinary curriculum, specific courses, and case-based exercises. (21 references) (Author/JRH)

A technique to teach cognitive skills to directly facilitate abstract and rational thinking is described. Based on George Kelly's theory of personal constructs, his Role Construct Repertory Test has students construe similarities and differences among important course concepts rather than provide individual definitions or examples of those…

Presented is a calculation for the probability of a athletic event. Assumptions, computations, and questions to be considered in the solution of this problem are discussed. (CW)

Student problem-solving behaviors are analyzed using a four-dimensional framework with related detrimental factors identified for each dimension. General approaches and specific techniques developed to address negative factors are reviewed. Examined are means of developing the components of problem-solving teaching. (KR)

Given are instructions for teaching spreadsheet use for problem solving in mathematics. Examples of relevant problems from algebra through calculus are provided. The advantages of using computer spreadsheets in this application are stressed. (CW)

This booklet is a catalog of error patterns found in basic arithmetic and algebra courses. It is intended to be used as a resource by instructors and tutors teaching these concepts. The material is divided into major concept headings with subheadings. The error patterns are named and given a brief general description followed by a specific example…

Describes eight experiments involving the use of common consumer products that could be incorporated into quantitative and instrumental analysis laboratories. Discusses these activities in terms of illustration of principles, awareness, and critical thinking. (CW)

Asserts that metacognition is one of the most important developments in the contemporary study of learning. Proposes a theoretical analysis of a number of interrelated issues with regard to their importance for metacognition. Focuses on strategy selection in light of the impasse-based theories of problem solving. (CFR)

Suggests that student errors in mathematics be used as motivational devices and starting points for mathematical explorations, involving problem solving and problem posing activities. It is further suggested that errors can foster a deeper and more complete understanding of mathematical content and nature of mathematics itself. (PK)

Improvements in the mechanism of the whirlybird used in the Science Curriculum Improvement Study (SCIS) unit "Subsystems and Variables" are presented. Variables which can be investigated using this device are discussed. An illustration of the improved device is provided. (CW)

Described are three mathematics games that parents can play with their children. These games involve parents in helping children to learn and practice mathematics in the home. Teaching, learning, and practice games are included. (KR)

Recent research literature has highlighted the interest of both teachers and researchers in using analogies to aid students' conceptual understanding. This appears to be especially relevant in secondary chemistry education due to the many abstract concepts that are included in the curricula. This paper reviews recent literature and considers…

In order to demonstrate how course content can be adapted so that thinking skills are included in the learning experience, this paper uses a unit of study from theater history as a basis for examining how subject matter can be structured with learning objectives, a study guide, a hypothetical problem situation, instructions, and feedback. The…

This collection of papers was solicited from a variety of educators in an effort to provide direction to teachers, curriculum developers and textbook publishers on topics in mathematics education that are consistently mentioned in recent national reports and study groups. The consensus of reports sponsored by various professional associations…