Illustrates a way in which students can estimate the ratio of an area of a circle using the radius square. Discusses why the same value of pi appears in both the formulas for the circumference and the area of the circle. (YDS)

Describes the processes used by middle school students to expand their thinking about the formula for the area of a parallelogram by observing patterns in the operation of a flexible parallelogram. (YDS)

Presents solutions to the Pumpkin Puzzler problem that appeared in the October 2001 issue of this journal. (Author/NB)

Presents solutions to the Football Frenzy problem that appeared in the November 2001 issue of this journal. (Author/NB)

Suggests using literature to study geometry and presents activities on the book "Sitting in My Box." (Author/NB)

Uses real data as a catalyst to explore mathematics. Presents two mathematics activities based on real data, one on earthquakes and the other on demographic data. Discusses the implications of these activities in calculus classes. (ASK)

Discusses the role of conjectures in learning mathematics, how conjectures demonstrate mathematical power, and how conjectures build understanding and encourage connections. (ASK)

Discusses the possibilities of integrating mathematics history with other disciplines. Provides examples of projects that have accomplished this task. Contains 13 references. (ASK)

Presents a game designed to help middle school students think about geometric properties and the relationships among them. (ASK)

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)

Focusing on student learning rather than the deductive presentation of mathematics is stimulus not only to discover theorems and proofs but also to generate meaning of definitions and axioms before their formal articulation. Provides worksheets that enable an intuitive grasp to precede formal definition in the field of elementary group theory for…

Introduces an activity designed to develop statistical concepts such as the distribution for a set of data, various interpretations of the mean for a set of data, the limitation of the mean for distinguishing distributions, variation in data, variation in data from the mean, and the MAD as a measure of variation in data from the mean. (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)