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27 October 1997 Vol. 2, No. 43 THE MATH FORUM INTERNET NEWS Foundations of Mathematics | Egyptian/Roman Numerals | Epigone FOUNDATIONS OF MATHEMATICS - ROGER BLUMBERG A summer 1997 program for high school students Division of Special Programs, Columbia University http://www.stg.brown.edu/~rog/GS97/ 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. http://www.stg.brown.edu/stg/staff_pages/roger.html -|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|- EGYPTIAN AND ROMAN NUMERALS ROMAN NUMERALS 101 - OLIVER LAWRENCE http://www.cod.edu/people/faculty/lawrence/romans00.htm "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: http://www.cod.edu/people/faculty/lawrence/romans.htm \|/ ROMAN NUMERAL CONVERSION http://www.ivtech.com/roman/ Enter an arabic number less than 4000, and receive the equivalent Roman numeral. \|/ EGYPTIAN MATHEMATICS - MARK MILLMORE http://eyelid.ukonline.co.uk/ancient/numbers.htm 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...." - from Jim Loy's "ARITHMETIC WITH ROMAN NUMERALS" http://www.mcn.net/~jimloy/roman.html -|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|- EPIGONE - THE MATH FORUM DISCUSSION SOFTWARE http://mathforum.org/epigone/ 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. Since these Web discussions are updated when each new message is posted, they are as current as a mailing list. In addition, the software threads messages, organizing them by subject, and provides a search capacity. You can post new messages and reply to those posted by others directly from the Web using the form linked to the Web discussion. The Math Forum's Web archives are maintained by Epigone, the Math Forum's own Web-based discussion software. -|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|- CHECK OUT OUR WEB SITE: The Math Forum http://mathforum.org/ Ask Dr. Math http://mathforum.org/dr.math/ Problem of the Week http://mathforum.org/geopow/ Internet Resources http://mathforum.org/~steve/ Join the Math Forum http://mathforum.org/join.forum.html Send comments to the Math Forum Internet Newsletter editors _o \o_ __| \ / |__ o _ o/ \o/ __|- __/ \__/o \o | o/ o/__/ /\ /| | \ \ / \ / \ /o\ / \ / \ / | / \ / \ |

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