Reviews recent research on problem solving, summarizing differences between problem-solving styles of novices and experts. Also describes a text by Daniel Solow ("How to Read and Do Proofs"). Includes chapter titles for the text useful for students who wish to improve their understanding of mathematical reasoning. (JM)

Describes an interactive computer game (for Apple II) designed to challenge students' problem-solving skills. The game is appropriate for science/mathematics classes from high school to college (particularly in logical problem-solving units). Includes game design/operation and list of characteristics of scientific research (as applied to general…

Introducing network theory to schoolchildren is promoted as a way of encouraging students to deal with new situations, be unafraid of challenges, and learn to think. Several applications, methods of analysis, and suggestions for further activities are provided. (MP)

Challenging problems and project ideas for mathematically able students in grades 5 and 6 are reviewed. Number patterns are viewed as a good tool to introduce inductive and deductive thinking. Applications of mathematics in sales, the stock market, opinion polls, weather prediction, and other areas are discussed. (MP)

Explores what is important when choosing a mathematics word problem and when modifying it to suit particular students' backgrounds and cultures. For example, potentially good problems have multiple entry and exit points which can have several right answers, blending of different mathematical ideas, linkages to problems in other situations, and…

Described is a nonmajor mathematics course taught using computers and lab experiments. Included are the challenge, solution, description of the first class, problems, successes, the syllabus, student comments, and the conclusion. (KR)

Bringing the practice of knowing mathematics in school closer to knowing mathematics within the discipline was studied with 18 fifth graders. Student activities in asserting and examining hypotheses were contrasted with conventional school mathematics activities. (SLD)

The Internet provides a resource accessible to students for solving problems and satisfying information needs. Describes how students can use e-mail and the NASA Spacelink, Geographic Name Server, and Weather Underground databases. Appendices provide internet addresses and selected state telecommunications networks. Sample student inquiries are…

Children's literature can provide a context in which young children can explore mathematical concepts in a meaningful way. This article highlights how young students in first-grade classrooms used stories about their families and pets to create and solve mathematical problems in a motivating, meaningful way. (SM)

Interviews with 72 mixed ability students, aged 7 to 12, about arithmetic problem-solving strategies, indicated that the preference between procedural and deductive strategies becomes a divergent reality across ability levels. Among the conclusions is that more able children tend to be doing a qualitatively different sort of mathematics than their…

Described are activities within extended problem-solving settings which allow middle school mathematics students, particularly at-risk students, to determine applications for a wide range of mathematical processes and concepts. Emphasis is on reality-based projects which often require more than one step as preparation for future consumer…

Discusses the first session and events from other sessions of a mathematics circle consisting of the author and four preschool children. Presents discussions that ensued with the children when asked to solve problems related to Piaget's stages of cognitive development. (MDH)

This review features new examples of using the computer relative to college-level mathematics to enhance pedagogy, solve problems, and model real-life situations. Included is a LOGO program that can be used to create and to stimulate subsequent investigations of spirolaterals, those figures generated by repeatedly drawing basic loops. (JJK)

Presents contributions by six mathematics teachers responding to the question: "How has the history of mathematics mattered to me in my mathematics teaching?" Answers touch the topics of how and why, how benefits are accrued, use of original texts, integration into core curriculum courses, and pitfalls of history. (MDH)

Presented is an activity in which probability and percents are taught using a basketball computer simulation. Computer programs that replicate the free-throw accuracy of college and professional stars and allow students to compete with those stars are included. (KR)