Demonstrates some of the usefulness of number theory to students on the high school setting in four areas: Fibonacci numbers, Diophantine equations, continued fractions, and algorithms for computing pi. (ASK)

The teaching and learning of mathematics in schools has drawn tremendous attention since the education reform in Taiwan. In addition to assessing cognitive abilities, Taiwan Assessment of Student Achievement in Mathematics (TASA-MAT) collects background information to help depict average student achievement in schools in an educational context.…

Some appearances of pi in a wide variety of problems are presented. Sections focus on some history, the first analytical expressions for pi, Euler's summation formula, Euler and Bernoulli, approximations to pi, two and three series for the arctangent, more analytical expressions for pi, and arctangent formulas for calculating pi. (MNS)

Mathematics activities and facts related to pi are presented in this issue of "Student Math Notes." Included are: (1) an exercise based on Buffon's needle problem in which pieces of toothpicks are dropped onto a ruled surface; (2) a calculation of pi to 200 decimal places; (3) exercises related to Biblical and ancient Chinese approximations of pi;…

Presented with appropriate formulas and illustrations are five lessons suitable for college mathematics undergraduate students, including Pi and the limit of (sin alpha)/alpha, the structure of orthogonal transformations, a simple proof of Zorn's Lemma, the converse of Liouville's Theorem, and visualizing the p-adic integers. (JJK)

Jean Poiseuille, a physician, developed a mercury filled U-tube to measure blood pressure in 1828. He discovered that pressure in veins is significantly lower than pressure in arteries. As a result, he studied liquid flow in small tubes. A few years later he established Poiseuille's Law, which states the resistance, "p," of the flow of blood as…

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)

Reprinted is "Shanks, Ferguson and pi" by T. A. A. Broadbent. It describes the historical development of the mechanical calculation of the number pi. (CT)

Over the years, the author has learned that illustrated books can help dispel the myth that math is dull, unimaginative, and inaccessible. They can spark children's mathematical imaginations in ways that textbooks and workbooks often don't. Picture books can also help students who love to read--but think math isn't their thing--experience the…

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

A sequence of activities leading to the concept of Pi is suggested. (DT)

This is one in a series of SMSG supplementary and enrichment pamphlets for high school students. This series makes available expository articles which appeared in a variety of mathematical periodicals. Topics covered include: (1) the history of the number pi; (2) what's new about pi; (3) the number pi; (4) pi and probability; and (5) from the…

This article presents the dialogue from a roundtable discussion on the principles of science education in today's school held by "Pedagogika" in March 2004. Participants were as follows: from the Russian Academy of Education: V.P. Borisenkov, doctor of pedagogical sciences, professor, vice president of the Russian Academy of Education, and editor…

This document contains the fourth volume of the proceedings of the 30th Conference of the International Group for the Psychology of Mathematics Education. Conference presentations are centered around the theme "Mathematics at the Centre." This volume features 59 research reports by presenters with last names beginning between Kun and Ros: (1)…