Problems from Another Time

Individual problems from throughout mathematics history, as well as articles that include problem sets for students.

Euclid's Algorithm for the Greatest Common Divisor

Project to help discrete mathematics and computer science students learn basic properties of division and the Euclidean algorithm and its proof from Euclid himself

Sums of Powers in Discrete Mathematics: Archimedes Sums Squares in the Sand

A project to help students learn from Archimedes' writings how he summed squares

Deduction through the Ages: A History of Truth

A project to introduce students to logic and especially implication by consulting original sources from ancient to modern times

Primary Historical Sources in the Classroom: Discrete Mathematics and Computer Science

A collection of modules for teaching and learning by 'reading the masters'

Equal Surface and Volume

What will the diameter of a sphere be, when its volume and surface area are expressed by the same number?

Inscribed Square

Knowing the base, b, and the altitude, a, of a triangle, find the expression for a side of the inscribed square.

How Much to Buy a Horse?

Three men wish to buy a horse but none have a sufficient amount of money for the purchase; to do so, they must borrow from each other. How much money does each man have and what is the price of the horse?

Snowdrift on the Tracks

A railway train strikes a snowdrift which creates a constant resistance. How long does it take the snow to stop the train?

A River Runs Through It

Wanting to know the breadth of a river, I measured a base of 500 yards in a straight line close by one side of it.

Travelling Men 2

Two men start walking at the same time and travel a distance. One is walking faster and completes the journey sooner. How fast did each man travel?