Volume 3, Number 50
Back to Table of Contents
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
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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
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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.
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