### Volume 3, Number 50

 ``` 14 December 1998 Vol. 3, No. 50 THE MATH FORUM INTERNET NEWS Fibonacci & Golden Section - Knott | Geometry in Motion | Dragonfly FIBONACCI NUMBERS AND THE GOLDEN SECTION - Ron Knott http://www.mcs.surrey.ac.uk/Personal/R.Knott/Fibonacci/fib.html All about the Fibonacci series and the Golden Section, written for students and teachers at a variety of levels, with a brief biography of Fibonacci, the numerical properties of the series, and ways it is manifested in nature. The Fibonacci numbers are closely related to the golden ratio, also known as the golden mean, golden number, or the golden section; and the golden string (Fibonacci Rabbit Sequence). Ron Knott's pages include: - The Fibonacci Numbers and the Golden Section in Nature - The Mathematical World of Fibonacci and Phi - The Golden String - Fibonacci Puzzles (easier and harder) - Fibonacci - the Man and His Times - More Applications of Fibonacci Numbers and Phi: The Golden Section In Art, Architecture and Music Fibonacci Bases and Other Ways of Representing Integers The Fibonacci Numbers in a Formula for Pi Fibonacci Forgeries The Lucas Numbers Ron also provides a list of links and references for still more information: http://www.mcs.surrey.ac.uk/Personal/R.Knott/Fibonacci/fibrefs.html -|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|- GEOMETRY IN MOTION - Daniel Scher http://members.xoom.com/dpscher/ This site offers direct interaction with geometric diagrams, using JavaSketchpad applets to illustrate and explore a range of mathematical applications. Contents include: A variety of curve-drawing devices: - Bent Straw - Limacon - Concentric Circles - Pantograph of Sylvester - Congruent Triangles - Sliding Triangle - Expanding Circle - Taut String - Falling Ladder - Van Schooten's Ellipse - Folded Circle - Van Schooten's Hyperbola - Hanging String - Van Schooten's Parabola - Intersecting Circles Other activities: - Constant Perimeter and Area Rectangles - The Burning Tent Problem - A Quadrilateral Puzzler - An Even Split - Maximizing Area - A Tangent Teaser - A Vector Approach to Simultaneous Equations Copies of Scher's articles, which can be read in PDF format: - Lifting the Curtain: The Evolution of the Geometer's Sketchpad - Demystifying e^i(pi) - Dynamic Geometry Visualizations in Linear Algebra - Problem Solving and Proof in the Age of Dynamic Geometry - A Triangle Divided: Investigating Equal Areas - The Building on Strengths Colloquium Scher's book for grades 10-12, Exploring Conic Sections with The Geometer's Sketchpad, providing add-on modules on ellipses, hyperbolas, and parabolas, is available from Key Curriculum Press: http://www.keypress.com/product_info/modules.html#conic -|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|- DRAGONFLY WEB PAGES http://miavx1.muohio.edu/~Dragonfly/ Dragonfly is an inquiry-driven, science-oriented magazine published bimonthly during the school year, inspiring children to join with their peers and with scientists in national and international investigations. Dragonfly also publishes poetry, autobiographies, natural history essays, humor, artwork, and other creative expressions by children and scientists. Such interdisciplinary explorations as "Small and Tall" (watch Danielle grow from age 5 to age 17 in 5 seconds) link math and science. Topics cover houses, navigation, space, earth sounds, using tools, hide and seek, webs of life, animal talk, ice and snow, skeletons, flight, and trees and seeds. Future issues, to which you are invited to contribute, will feature plants, time, water, life cycles, the year 2000, games, family, and the planet. Project Dragonfly is a collaborative effort of Miami University (Oxford, Ohio) and the National Science Teachers Association (NSTA), with funding from the National Science Foundation. -|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|- CHECK OUT OUR WEB SITE: The Math Forum http://mathforum.org/ Ask Dr. Math http://mathforum.org/dr.math/ Problems of the Week http://mathforum.org/pow/ Internet Resources http://mathforum.org/~steve/ Teacher2Teacher http://mathforum.org/t2t/ Discussion Groups http://mathforum.org/discussions/ 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\ / \ / \ / | / \ / \ ```