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16 June 1997 Vol. 2, No. 24 THE MATH FORUM INTERNET NEWS Xah Lee | Reform & NCTM Standards | 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, in-line 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. \|/ 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 -|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|- 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://mathforum.org/mathed/math.education.reform.html Discussions of the NCTM Standards and their significance for math education at the elementary and secondary levels and for colleges and universities are also available in the Forum's pages on new directions and issues in pedagogy. http://mathforum.org/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 K-12 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://mathforum.org/mathed/ -|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|- ASK DR. MATH: THE GOLDEN RATIO AND THE FIBONACCI SEQUENCE http://mathforum.org/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://mathforum.org/dr.math/faq/ -|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|- 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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