Poses and solves several related extensions involving enumerating squares and rectangles. Describes how problem extensions can be developed and used in the classroom to motivate and challenge teachers and students to exert themselves mathematically. (ASK)

Describes how different operations on matrices can be modeled with simple spreadsheets. Presents three activities on this topic. (ASK)

The approximation of functions such as the sine, cosine, and exponential by polynomials is significant and interesting enough for students to learn about. Presents Maclaurin's theorem, examples employing the theorem, and applications of the theorem. (ASK)

Documents some of the changes that have taken place in secondary school mathematics curriculum. Examines the reasons for the changes in thinking that have brought applications of mathematics from a position of relative nonexistence in the 1960s to one of major importance in the 1990s. (GR)

Examined peer group structures in low- and regular-track high school algebra classrooms, studying clique group affiliations defined by students and their teachers regarding academic achievement. Clique group affiliation was a potential predictor of academic achievement in both types of classes. Successful achievement appeared to be a factor that…

Reports what real life contexts meant while teaching Year 11 Geometry and Trigonometry. Presents problems to support the teaching of a topic on vectors in three-dimensional space. Takes a critical look at five of the problems in view of students' responses to them. (ASK)

The negotiation of meaning presupposes a taken-to-be-shared understanding of a situation. Uses an example to illustrate how negotiation of meaning and task may be linked in ways inappropriate to the learning of modeling and critical reflections. Contains 16 references. (Author/ASK)

The study of leap year and its development offers an interesting real-world situation for students to exercise qualitative reasoning about operations on decimals. Presents an activity in which students investigate time measurement by studying a variety of calendars, past and present. (ASK)

Describes a student project that enables students to experience problem-solving strategies and construct their own understandings of the problem-solving strategies by researching the problem-solving process itself, uncovering and defining strategies that they can subsequently use to solve problems, and exploring the impact that attitude has on…

Presents an opportunity for students to become familiar with the fundamental premise of iteration for a new branch of mathematics that is known as chaos theory by using graphing calculators. (ASK)

Examines the relationship between problem-solving performance and the quality of the organization of students' knowledge. Reports on findings on the extent to which content and connectedness indicators differentiated between groups of high-achieving and low-achieving Year 10 students undertaking geometry tasks. (Contains 29 references.)…

The study of statistics can be enhanced by using real-world data and problems obtained from the Internet. Uses data on HIV infections in Asian and Pacific Islander females to teach both descriptive and inferential statistics. (ASK)

Shares some reflections about using simulations on the Internet to teach statistics. Discusses problems of learning statistics, Internet terminology, statistical resources on the Internet, interactivity, and problems related to the use of Internet resources. (ASK)

Diversity can be introduced in algebra without needing extra time. Explores three opportunities to encounter and engage diversity: (1) history; (2) multiple representations; and (3) object concept of function. (ASK)

Focuses mainly on a common example in technology-rich mathematics curricula, namely the line of best fit, followed by a discussion of two additional examples, interpolating polynomials and complete graphs. (ASK)