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A set of n disjoint, congruent circles packs the surface of a sphere S so that each region of the surface exterior to the circles is bounded by arcs of three of the circles.

Investigating Euler's Polyhedral Formula Using Original Sources

The author shows how teachers can use Leonhard Euler's original works in the classroom to explore Euler's famous polyhedral formula,
V + F = E + 2.

Landowner's Payscale

How much does Landowner A give to each worker knowing Landowner B gives a certain amount more and has few workers.

ICME 11

The eleventh International Congress on Mathematical Education will meet in Monterrey, Mexico from July 6 to July 13, 2008.

Out to Pasture

Two men rent a pasture for 100 lire on the understanding that two cows are to be counted as being equivalent to three sheep. The first puts in 60 cows and 85 sheep; the second 80 cows and 100 sheep. How much should each pay?

Frustum-Shaped Mound

There is a mound of earth in the shape of a frustum of a cone.

Four Numbers

Given four numbers whose sum is 9900; the second exceeds the first by 1/7 of the first...

Horses to Qi

Now a good horse and an inferior horse set out from Chang'an to Qi. Qi is 3000 li from Chang'an.

Review of Routes of Learning: Highways, Pathways, and Byways in the History of Mathematics

In this collection of essays on modern trends and issues in the history of mathematics, consideration of mathematics history in the classroom is often more theoretical than practical.

A Room with a View

Find the height of a window.