This paper reports on teachers? practical knowledge [PK] about peer interactions [PI] in learning mathematics. The focus is on high school teachers who consistently engaged students PI in their teaching. Data consisted of interviews and classroom observations. Findings indicate that these teachers have PK of students? roles in PI and learning…

The number Pi (approximately 3.14159) is defined to be the ratio C/d of the circumference (C) to the diameter (d) of any given circle. In particular, Pi measures the circumference of a circle of diameter d = 1. Historically, the Greek mathematician Archimedes found good approximations for Pi by inscribing and circumscribing many-sided polygons…

One of the best known numbers in mathematics is the number denoted by the symbol [pi]. This column describes activities that teachers can utilize to encourage students to explore the use of [pi] in one of the simplest of geometric figures: the circle.

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,…

Several Excel applications are presented which are part of the syllabus in the first semester of engineering studies at Haugesund College. The aim of the applications is for the students to acquire both computing skills and mathematical understanding at the same time. The applications cover numerical solution of equations, differentiation,…

In early childhood and primary (PreK-2) grades, subitizing is a critical skill that helps children meet early mathematics standards. Discover ways teachers can infuse this critical skill into their math curriculum.

Discusses the geometric and mathematical features of the pyramids in Cairo. Describes the relationship between the great pyramid and Pi. (ASK)

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)

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)

This book is a guide for parents and teachers of mathematically talented elementary school students. Chapters and sections include: (1) "Overview"; (2) "Historical and Current Perspectives"; (3) "Making Informed Educational Decisions"; (4) "Diagnostic Testing Followed by Prescriptive Instruction: SMPY's DT to PI Model"; (5) "Mathematics Curriculum…

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)

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

Gives a lesson plan for a mathematics activity using balloons which shows connections between the algebraic concepts of slope, linear functions, and power functions and the geometric concepts of circle, sphere, volume, and pi. Includes reproducible student worksheets. (MKR)

Presents an algorithm to estimate pi by approximating a unit circle with a sequence of inscribed regular polygons. Demonstrates the application of the algorithm with a hand-held calculator and an Apple computer. Provides a program to calculate pi in Pascal programing language. (12 references) (MDH)

Presents a day of activities to encourage students to participate in mathematics. Five contests include poster; model; mathematics puzzle; mathematics problem challenge; and essay. Some student entries and the rules for each contest are described. (MKR)