An introduction to some key mathematical habits and concepts not often taught at the pre-college level. This site serves as a model for presenting and augmenting a course on the Web.
Over a four-week session, students examined:
- What is mathematics (for)?: analysis and generalization - The mechanics of mathematical proof - The mathematics of counting - An introduction to the mathematical theory of probability
Roger Blumberg is an educational hypermedia researcher at the Scholarly Technology Group of Brown University, and works on a variety of educational projects, often as part of Brown's participation in the NetTech consortium.
"The Romans used only seven letters to express all their numbers. The combination of a letter and its position could represent any number. They also use a line above the letter, so the numbering system actually represents our own very closely, with fourteen different symbols. The major difference is how they treat the notion of zero...."
This tutorial includes uses for Roman Numerals (clocks) and a Table of Arabic and Roman Numerals:
A summary of Egyptian mathematical symbols and conventions for reading and writing numbers, together with some problems "to see if you could survive in the world of Egyptian numerals and mathematics."
"...Egyptian numerals are essentially Roman numerals, with no fives, or 50's, or 500's... In Egyptian, numbers are longer than in Roman numerals, but arithmetic is simpler. There are fewer "carries" and no "borrows" when adding, so a person might guess that calculation was done more often in Egypt than in the Roman Empire...."
The Math Forum's archives now offer full-fledged Web discussions: you can view, search, and post to math-related mailing lists and newsgroups from the Web.
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