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Newsletter: Math Forum Internet News No. 2.24 (June 16)
Posted:
Jun 14, 1997 12:26 PM


16 June 1997 Vol.2, No.24
THE MATH FORUM INTERNET NEWS
Xah Lee  Math Education Reform  Golden Ratio/Fibonacci Sequence
A VISUAL DICTIONARY OF SPECIAL PLANE CURVES  XAH LEE
http://www.best.com/~xah/SpecialPlaneCurves_dir/specialPlaneCurves.html
Many properties of plane curves, such as cusp, tangent, evolute, involute, or envelope, are most easily explained by means of an illustration or animation. Xah Lee's pages offer QuickTime animations, Geometer's Sketchpad files, inline graphics, and dozens of Mathematica packages and notebooks illustrating the following curves and many more:
 Archimedean Spiral  Cassinian Oval  Conic Sections  Lemniscate of Bernoulli  Limacon of Pascal  Quadratrix of Hippias  Trisectrix of Maclaurin  Witch of Agnesi
The formulas, properties, history, and nomenclature of special plane curves are presented at a beginning college level. Overall, the project is designed to educate and entertain.
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Other features of Xah Lee's MATHEMATICS GRAPHICS GALLERY include illustrations of Spheres and Cubes; Transformation of the Plane; Tilings of the Plane; Nested Inversion of Circles; and a FRACTAL GRAPHICS GALLERY of images in the public domain.
http://www.best.com/~xah/MathGraphicsGallery_dir/mathGraphicsGallery.html
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MATH EDUCATION REFORM AND THE NCTM STANDARDS
The Math Forum offers a collection of links to Web sites dealing with reform in mathematics education and the NCTM Standards. Pros and cons are covered in articles hosted by the Eisenhower National Clearinghouse (ENC) and others.
http://forum.swarthmore.edu/mathed/math.education.reform.html
Discussions of the NCTM Standards and their significance for math education at all levels are also available in the Forum's pages on new directions and issues in pedagogy.
http://forum.swarthmore.edu/mathed/nctm.new.pedagogy.html
Here in addition to the Standards themselves you'll find "Developing Educational Standards for Math," an annotated list of Internet sites with K12 educational standards and curriculum frameworks documents, maintained by Charles Hill and the Putnam Valley Schools in New York. Sites for math education standards are listed by organization and by state.
http://putwest.boces.org/StSu/Math.html
Math Education Reform is part of the Math Forum's resources for Mathematics Education.
http://forum.swarthmore.edu/mathed/
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ASK DR. MATH: THE GOLDEN RATIO AND THE FIBONACCI SEQUENCE
http://forum.swarthmore.edu/dr.math/faq/faq.golden.ratio.html
"I am trying to figure out how the Golden Ratio and the Fibonacci series are related..." "Is there a formula to calculate the nth Fibonacci number?" "I have figured out that the ratio of a number in the Fibonacci series over the previous gets increasingly closer to the Golden Ratio but I don't know how to relate this to some mathematical reason or logic..."
These and other frequently asked math questions are answered in the newly redesigned DR. MATH FAQ. Explanations, illustrations, links to answers in the Dr. Math archives, and suggestions for good sites on the Web for supplementary information are included with each topic.
http://forum.swarthmore.edu/dr.math/faq/
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The Math Forum ** 16 June 1997
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