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Newsletter: Math Forum Internet News No. 5.8 (21 Feb 2000)
Posted:
Feb 18, 2000 8:15 AM
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21 February 2000 Vol. 5, No. 8
THE MATH FORUM INTERNET NEWS
Impact Project - Curry Center | Maths in Tens - Mayer Moore's Law and Slacking
THE IMPACT PROJECT - Curry Center
http://curry.edschool.virginia.edu/teacherlink/math/
The Impact Project develops materials for pre-service and in-service secondary mathematics and social studies teachers wishing to incorporate technology into their teaching.
Activities on graphing calculators, Microsoft Excel, MicroWorlds (logo), and the Geometer's Sketchpad analyze, interpret, simulate, or explore such subjects as:
- AIDS and its spread in the United States - the centroid of a triangle - constructions of isosceles and equilateral triangles - the four-color theorem - the golden rectangle - infinite series through Baraville spirals - interest rates and the growth of money - Koch's snowflake - M&M data - the Pythagorean theorem - random events - recursion - smoking and lung cancer - sunspots and geomagnetic disturbances - tessellations, pure and Escher-like - trigonometric functions - the Witch of Agnesi
Interactive projects for MS Excel and MicroWorlds offer downloadable files for explorations of ratio, equation forms, fraction pie, maximizing area, coins and dice, projectile motion, and the Sierpinski polygon.
From the Curry Center for Technology and Teacher Education at the University of Virginia.
http://curry.edschool.virginia.edu/teacherlink/contents.htm
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MATHEMATICS IN TENS - Steve Mayer
http://dialspace.dial.pipex.com/town/way/po28/maths/
A British site - ten pages, each with ten items:
- problems to make you think - facts you may not know about maths - good maths books - mathematicians - maths jokes - reasons to study maths - mathematical links - mathematics software programs - mathematical constants - mathematical formulae
Ten little-known facts about math include a comparison of British and American math terms such as "trapezium" and "trapezoid"; the ham sandwich and hairy ball theorems; how calculators do not use series for trig functions; and an elegant integral that evaluates the difference between 22/7 and pi.
http://dialspace.dial.pipex.com/town/way/po28/maths/facts.htm
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THE EFFECTS OF MOORE'S LAW AND SLACKING ON LARGE COMPUTATIONS
http://agave.as.arizona.edu/~chrisg/mooreslaw/Paper.html
A tongue-in-cheek paper in which the authors show that, in the context of Moore's Law, overall productivity can be increased for large enough computations by 'slacking', or waiting for some period of time before purchasing a computer and beginning the calculation.
According to Moore's Law, the computational power available at a particular price doubles every 18 months. Therefore it is conceivable that for sufficiently large numerical calculations and fixed budgets, computing power will improve quickly enough that the calculation will finish faster if one waits until the available computing power is sufficiently better and starts the calculation then.
A paper by Chris Gottbrath, Jeremy Bailin, Casey Meakin, Todd Thompson, J.J. Charfman; Steward Observatory, the University of Arizona.
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The Math Forum ** 21 February 2000
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