Using modern technology to examine classical mathematics problems at the high school level can reduce difficult computations and encourage generalizations. When teachers combine historical context with access to technology, they challenge advanced students to think deeply, spark interest in students whose primary interest is not mathematics, and…

Celebrating mathematics should be a yearlong event in which students in mathematics classes of all levels engage in mathematics activities and competitions that will encourage growth in mathematical knowledge, enthusiasm for the subject, and collaboration among students of different abilities and backgrounds. Pi Day and Pi Week festivities--a good…

If students are in an advanced mathematics class, then at some point they enjoyed mathematics and looked forward to learning and practicing it. There is no reason that this passion and enjoyment should ever be lost because the subject becomes more difficult or rigorous. This author, who teaches advanced precalculus to high school juniors,…

This article employs the Archimedean method of estimating the value of pi within an inscribed pentagon. We show how to write these approximations in terms of the golden ration.

Most high school mathematics teachers completed a mathematics history course in college, and many of them likely found it intriguing. Unfortunately, very few of them find the time to allow much, if any, mathematics history to trickle into their instruction. However, if mathematics history is taught effectively, students can see the connections…

Employs statistical tools to determine whether the digits of Pi are pseudorandom. Discusses the difficulties in answering this question. (Author/NB)

Describes a classroom inquiry into expressing the number pi as the limit of a sequence of different ratios using relationships among coins and the radius of an inscribed circle. (KHR)

Techniques for estimating pi using the microcomputer are demonstrated. Four BASIC programs, coded from pi generating formulas, are compared for efficiency. (PK)

Describes the development of one of Euler's infinite series for pi. Includes a computer program for computational verification output of two series which converge to pi. (RS)

Three experiments which use probabilities to approximate pi are described. (JT)

One schools' experiences with mathematics contests are described, with American Pi, the Great Calculator Contest, and the Forest View Math Olympics in problem solving each detailed. (MNS)

References to approximations of pi in the Bible and calculations of pi in the Egyptian Phind Papyrus are noted, followed by a finding of an eighteenth-century Polish rabbi about the exactness of the Biblical computation. (MNS)

A method for approaching the value of pi using a transparent sheet of parallel lines is discussed. (MP)

Diagrams that aid in relating the golden ratio to pi are discussed, with the theorem and its proof. (MNS)

A computer simulation of the Buffon Needle Problem for estimating the value of pi is discussed. (MP)