Presented is a way of extending the list of rotation groups to include all finite subgroups of symmetries of the sphere, up to conjugation in its full group. Included is Klein's method for enumeration of the finite subgroups. (KR)

Described is an approach to teaching algebra in a meaningful context by using problem solving to motivate students and increase their retention. Examples of this approach are given. (CW)

Discusses ways in which metaphors and metaphorical language can be used with student teachers as heuristic devices to increase reflection and encourage reconceptualizing of problem situations. Two examples are given: metaphor used as an instructional method and metaphors reflecting student teachers' concepts of teacher roles. (JD)

Interest in mathematics can often be generated by seemingly nonmathematical items. A card trick from a course in recreational mathematics for middle school students is described. It involves several important mathematical activities: problem-solving analysis, making a conjecture and testing it, discovering, and verbalizing. (MNS)

Explains the effects of examination fear and anxiety on student performance. Cites ways instructors can intervene to help alleviate the problem and better promote learning. (RT)

Describes experiences, or "lab puzzles," which will help students develop problem-solving skills in a laboratory setting. Outlines procedures for developing techniques, setting boundaries, and finding the number of molecules of water in Lake Erie. (RT)

Discussed is an application of number theory to cryptology that can be used with secondary school students. Background on the topics is given first, followed by an explanation for use of the topic. (MNS)

Encourages classroom teachers to improve their students' reading and reasoning skills by helping them to interpret math problems correctly. (RAE)

College instructors can design discussion classes so that students use the concepts and processes of the discipline to evaluate facts and move toward reliable conclusions. Described are: discussion as a cycle of inquiry; creating tension around ideas; seeking causal relationships; scanning the factual base, etc. (MLW)

Recent research in science education examines learning from four foci: (1) concept learning; (2) developmental; (3) differential; and (4) problem-solving. These perspectives provide a framework for identifying mechanisms of change in knowledge/thinking processes. In-depth coverage of several science topics may benefit students more than fleeting…

The focus is on using mathematical concepts and operations to decode holiday messages. Worksheets are provided for levels one-two, three-four, five-six, and seven-eight. (MNS)

The effectiveness of computer simulation in enhancing learning of a health unit by 30 mildly learning-disabled high school students was investigated. Results indicate that computer simulation in combination with structured teaching was effective, particularly in the area of teaching problem-solving skills. (TJH)

Some typical teacher concerns about technology education are explored. Answers reflect the belief that implementing technology education does not require entirely new instruction methods. Concerns explored include (1) use of the project method, (2) specialized equipment, (3) problem-solving, (4) needs of special students, and (5) teacher skills.…

Presented are examples of how the terminology used in typical rate questions is misunderstood by a large proportion of students. Explanations based on both interviews and paper-and-pencil tests are given as to why this phenomenon exists. (MNS)

Suggests that math and reading are related, and that strategies common to reading sometimes can be applied in math. Presents instructional strategies and independent study techniques for five areas: basic sight words; vocabulary meanings; other specialized vocabulary; basic skills; and problem solving. (RAE)