This paper shows how inequalities can be utilized in reducing dimensionality of problems associated with the partition of unit fractions into the sums of two, three, and four like fractions. The need for such a reduction in this context stems from using a spreadsheet as a modelling tool. Activities described in this paper are grounded in standards…

Presents activities for teaching the logistic growth model using calculators and spreadsheets. (ASK)

Introduces the concept of function using graphs or pictorial representations of functions. Presents four activities for grade levels 8-14 that use the natural progression from qualitative graphs to quantitative graphs to tables to equations for introducing the theme of distance from an object as a function of time. (Author/NB)

What initially appears to be a standard maximum-minimum problem presents, with a particular independent variable, a wealth of calculus and algebraic subplots. Uses graphing calculator technology to reinforce the "pencil and paper" solution and open the problem to lower level mathematics courses. (Author/NB)

Describes simple experiments to explore the variables and links to a theoretical approach. Using genuine data, develops an application to the drive mechanism for a lift in a deep mine shaft; poses follow-up questions. (ASK)

Provides activities that support students as they develop their intuitive notions of graphs. Activities help students describe the relationships expressed in the graphs and make generalizations about inferences on the basis of the visual image. (ASK)

Demonstrates a way to develop the concept of the logarithmic function that builds on students' knowledge of the definition of a function and its inverse. (ASK)

Describes an activity involving six investigations. Introduces students to fractals, allows them to study the properties of some famous fractals, and encourages them to create their own fractal artwork. Contains 14 references. (ASK)

Discusses cooperative learning and describes a method of implementing a cooperative-learning setting called Exchange of Knowledge. Contains 28 references. (ASK)

Describes a personal problem solving-inquiry journey, working on a problem suggested by an activity on probability observed in a junior primary classroom. Presents reflective thoughts about the mathematical and pedagogical lessons to be learned from this journey. (ASK)

Presents interesting investigations and activities for inscribed and escribed circles of right-angled triangles. (ASK)

Suggests scales as alternative representations of numerical concepts and operations that can be used as arithmetic-mean machines, adding machines, multiplication machines, and geometric-mean machines. (ASK)

Presents an outdoor activity requiring students to collect data and suggests some possible applications of the data. (ASK)

Discusses a regression exercise that uses real-life data, has proven interesting to students in all disciplines, and is rich to demonstrate a number of the central concepts of regression analysis. (Author/ASK)

Helps students make sense of the three ratios--the ratio between corresponding lengths, the ratio between corresponding areas, and the ratio between corresponding volumes--and begin to construct proportional relationships among them. (ASK)