Activities which may be used to investigate a variety of woven patterns are presented. Pattern predicting and analysis of different patterns are discussed. A Basic computer program for the weaving code is given. (CW)

Algorithmic and investigative approaches to mathematics are compared and discussed. Their mutually contradictory spirit is explored. Examples of the application of each method to a mathematics problem are presented. (CW)

The purpose of this article is to highlight and discuss the role of language as the link between experiences with number patterns and the emergence of algebraic notation. Discussed is a recommended approach. A sample of a written student response is provided. (CW)

Described are the general problem-solving strategies and their nature and functions. The importance of integrating different types of general problem-solving strategies with content-specific teaching in mathematics classes is discussed. (KR)

Discusses the use of world problems in mathematics curriculum. Provides a topic on (1) life expectancy and the percentage of the population with access to safe drinking water and (2) the global arms race. (YP)

Discusses what a good problem is. Describes the eight problem categories and the four dimensions for evaluating problem-solving performance. (YP)

Discussed is the situation of the ability, participation, and achievement of girls in mathematics in Australia. Reasons for the concern of many educators about this situation are presented. A few research explanations are suggested. (CW)

Presented is an activity in which students apply familiar concepts of geometry to novel settings. Using square dot paper and isometric dot paper, students trace routes and determine the geometry of each circle. (KR)

Proposed are the responsibilities of mathematics education researchers for the implementation of the NCTM Standards. Six areas that offer opportunities for standards-related research are identified: assessment, changes in curriculum materials, mathematics as communication, policy-related issues, the effects of technology, and secondary core…

Reviewed are two computer software packages for Macintosh microcomputers including "Phase Portraits," an exploratory graphics tool for studying first-order planar systems; and "MacMath," a set of programs for exploring differential equations, linear algebra, and other mathematical topics. Features, ease of use, cost, availability, and hardware…

Discussed are several activities suitable for students from middle school through high school designed to furnish concrete experiences with the concepts of rate of change and slope and approximating areas, the central themes of differential and integral calculus. The implementation of national curriculum standards is stressed. (CW)

Discussed is four years of intensive experiences of working with preservice secondary mathematics teachers in helping them to integrate computers into their mathematics instruction. Student experiences in the classroom and in field experiences, and changes in student attitudes and beliefs toward computers and mathematics are described. (CW)

Discusses the use of writing assignment in mathematics class. Provides a peer-conference checklist and samples of students' works. Describes some of the experiences, types of assignments, and grading. Seven references are listed. (YP)

Describes the results of three years of field-work and the prospects for change in algebra teaching as a consequence of using computers and calculators. Summarizes the structure of text materials, classroom organization, and students' responsibilities. (YP)

Illustrates how muMATH can be used for manipulating abstract differentiation rules, optimization, implicit differentiation, related rules, and verifying the chain rule. (MVL)