 Mark Wahl Math Learning/Teaching Resources
Math methods and activity books written by Mark Wahl for teachers, homeschoolers and parents (especially grades 39), as well as information on Wahl's customized teacher or parent workshops and conferences, and some math and education links. Specialties:
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 Matemáticas  Antonio Pérez
Si estás interesado en las Matemáticas, si eres profesor, estudiante, o simplemente sientes curiosidad, esta página te puede ayudar. Didáctica e Historia de las Matemáticas; Curiosidades en Internet. Problems, puzzles,
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 Math 5337: Technology in the Geometry Classroom 
Sullivan, Burgiel, Osinga; The Geometry Center, Univ. of Minnesota
From the University of Minnesota's course in Computational Methods in Elementary Geometry, materials developed at the Geometry Center for teaching pre and
inservice teachers of highschool geometry interested in using technology in their classrooms.
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 Mathematical Connections  Brian R. Sears
A collection of more than 20 wellknown problems (with solutions), and Sine Wave, a set of essays on "the aesthetic aspects of mathematics."
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 Mathematics and Music  Dave Rusin; The Mathematical Atlas
A short article documenting the interplay between music and mathematics, with a bibliography. Explorations into tunings include why there are twelve tones in an octave, tuning problems that lead to the Riemann zeta function or to logarithms, nineteentone
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 Mathematics and Music  Michael Beer
An essay in PDF format providing a short overview of the relationship between mathematics and music. Topics include: Tone and tuning: the Pythagorean perception of music; Mathematical music: Fibonacci numbers and the golden section in musical compositions;
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 The Mathematics of the Fibonacci Series  Ron Knott
Patterns in the Fibonacci Numbers (Cycles, Factors); The Fibonacci Numbers in Pascal's Triangle (Why do the Diagonals sum to Fibonacci numbers? Another arrangement of Pascal's Triangle; Fibonacci's Rabbit Generations and Pascal's Triangle); The Fibonacci
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 MathSource  Wolfram Research
An extensive electronic library of Mathematica material and notebooks, with over 100,000 pages of immediately accessible Mathematica programs, documents, examples, and more. You may browse the archive or search by author, title, keyword, or item number.
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 Maths Outdoors  Juliet Robertson
Blog posts from an education consultant "passionate about getting children outside." Posts on learning math outside with a kinesthetic emphasis, which date back to September, 2008, have included "Leaf Logic," "Investigating Right Angles with Sticks,"
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 Maths Posters in the London Underground  Andrew D. Burbanks, Isaac Newton Institute for Mathematical Sciences
During World Mathematical Year 2000 (WMY2000), a sequence of posters will be displayed month by month in the trains of the London Underground. The aim of this outreach is to bring maths to life, illustrating the wide applications of modern mathematics
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 A Matter of Appreciation  Cut the Knot!, Alexander Bogomolny
It is possible to learn to appreciate painting without being a painter... by analogy, it is possible to appreciate mathematics without being a mathematician. Appreciation does not require mastery, but it is impossible without adequate knowledge. Knowledge
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 The Millennium Sphere  The Cooper Union
Jean Le Mee, Manuel A. Baez, and a team of their Cooper Union students submitted the Millennium Sphere for an international timecapsule competition sponsored by the New York Times Magazine. Watch a Shockwave animation of Ad Quadratum generation that
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 More Fibbery  Gregory K. Pincus
"Fibs./ Terse./ Defined./ As your tools,/ Twenty syllables;/ How you use them is up to you." The author explains this form of poetry and its two most important rules: the syllable count of 1/1/2/3/5/8  the first six digits from the Fibonacci sequence
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 Nature by Numbers  Cristóbal Vila
Cristóbal Vila gives us this short video inspired by numbers, geometry, and nature. Vila's site has more information on Fibonacci, the Golden Ratio, and the Voronoi tessellation that makes up his dragonfly wings, as well as information about the making
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 Nature's Numbers (MatheMUSEments!)  Ivars Peterson (Math Muse for Kids)
The most common number of petals on a flower is five. Five also shows up in arrangements of seeds. Pineapples have eight rows of scales, seen as roughly diamondshaped markings, sloping in one direction and 13 sloping in the other. Pine cones show the
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 New Mathematical Constant Discovered  Keith Devlin (Devlin's Angle)
Descendent of Two Thirteenth Century Rabbits: A recent mathematical result by Divakar Viswanath, a young computer scientist at the Mathematical Sciences Research Institute (MSRI) in Berkeley, California, has put the Fibonacci numbers back in the news
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 Panagiotis Stefanides
Geometry presented at national conferences in Greece. Contents include: Quantization of Circle Duality; Logos Pyr Chronos; 'Buena Fortuna' (artwork); Geometric Mean Ratio (T) by Ruler and Compass; Quadrature Master Theorem; Corollary (Circle Circumference
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 Patterns, Patterns, Everywhere  Nina Heal
Three lesson plans: an internetbased research project on patterns; connections between the arts of M. C. Escher and quilters; and a technologyenriched tessellations lesson. Includes a teacher resource page with rubrics.
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 Pearson Learning  Dale Seymour Publications
A leading publisher of educational materials, emphasizing math, science, and the arts. The site contains: an online catalog; math curricula include: CMP (the Connected Mathematics Project) and Investigations (Investigations in Number, Data, and Space,
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 Pentagonal Geometry and the Golden Ratio (The Geometry Junkyard)  David Eppstein, Theory Group, ICS, UC Irvine
An extensive annotated list of links to material on geometric problems defined on regular pentagons, involving pentagonal angles, or based on the golden ratio (the ratio of diagonal to side length in a regular pentagon).
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 Página Web de Fibonacci, Humor, Matemáticas  José Mari López Goitia
Página personal, con secciones para humor y matemática, información sobre HTML, manual de C, buscadores de todo el mundo, y más.
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 Philosophy of Science  David Banach
A syllabus and collected resources for a course in the philosophy of science, including excerpts from various books. Topics include ancient Greek science and mathematics: the Golden Section, Pythagoras, infinity and continuity, and Plato and Aristotle,
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 The 'PhiNest'  Gary Meisner
This source for the golden section, golden mean, divine proportion, Fibonacci Series, and phi discusses phi "for neo'phi'tes"; credit cards; energy; geometry; history; life; the human hand; the human face; the human body; human beauty; development; the
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 Phi's Fascinating Figures  Ron Knott
More properties of the number Phi, its multiples and powers, continued fractions, formulae, and numerical relations between Phi and its powers.
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 Phi: That Golden Number  Mark Freitag, Univ. of Georgia
Phi can be found in many geometric shapes as an approximation of the Golden Ratio. A geometric figure commonly associated with Phi is the Golden Rectangle, which has sides A and B that are in proportion to the Golden Ratio. It has been said that the Golden
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 Pi and the Fibonacci Numbers  Ron Knott
Contents: How Pi is calculated (Measuring the steepness of a hill; The tangent of an angle; The arctan function; Gregory's Formula for arctan(t); Radian measure; Gregory's series and pi; Using Gregory's Series to calculate pi; Machin's Formula; Another
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 Plouffe's Inverter: Table of current records for the computation of constants
Classical constants: Pi, 1/Pi, E, Catalan, Zeta(3), Euler's gamma, log(2), Golden Ratio, Square root of 2, N'th binary digit computations, other interesting computations (Bernoulli numbers, Zeros of Riemann's Zeta Function, Madelung Constant, Khintchine
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 Quite BASIC  Nikko Strom
A JavaScript environment for coding in the classic BASIC programming language. Math projects include the Fibonacci Sequence, Fibonacci Squares, the Sieve of Eratosthenes, and Mandelbrot; puzzles include the Towers of Hanoi and variations of the Eight
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 The Remarkable Number 1/89  Robert Miner
An overview of the Fibonacci series, interesting facts about it, and a sketch of the proof of why the decimal expansion of the fraction 1/89 contains all the Fibonacci numbers expressed as a sequence of decimal fractions, a fact discovered by Cody Birsner.
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 Sacred Geometry  Bruce Rawles
"In nature, we find patterns, designs and structures from the most minuscule particles, to expressions of life discernible by human eyes, to the greater cosmos. These inevitably follow geometrical archetypes, which reveal to us the nature of each form
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 Some Golden Geometry  Rashomon (K. Wiedman)
The Golden Mean is a ratio that is present in the growth patterns of many things  the spiral formed by a shell or the curve of a fern, for example. This page (also found at http://tony.ai/KW/goldengeom.html) gives instructions for constructing the Golden
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 Some Solid (Threedimensional) Geometrical Facts about the Golden Section  Ron Knott
Phi and threedimensional geometry  Dice Shapes; Coordinates and other statistics of the 5 Platonic Solids; The Greeks and the platonic solids; Quasicrystals and Phi; Footnotes on Plato and Euclid, and on shapes for fair dice.
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 Spirals (The Geometry Junkyard)  David Eppstein, Theory Group, ICS, UC Irvine
An extensive annotated list of links to material on spirals of all kinds.
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 Teen Math Whizzes Go Euclid One Better  Gautam Nair, The Wall Street Journal
The scholarly journal Mathematics Teacher has churned out some 7,500 articles published over the past nine decades. This month, Volume 90, issue No. 1 will feature a first: a formal math treatise by two high school students. A reproduction of an article
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 Title III MSS Final Performance Report  Dana Lee Ling
Dana Lee Ling is a mathematics and science software specialist at the College of MicronesiaFSM. Articles document the College's attempts to increase the success of prealgebra and algebra students through "conceptual" and technologybased approaches.
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 TSM4: 'Using the Internet for Mathematics'  Oundle School, Peterborough, UK
A oneday conference for teachers held 11 May 1998 at Oundle School, Peterborough, UK. Technology for Secondary and College Mathematics (TSM) is a teacher training initiative based at Oundle School. Online Workshops: "How to download text and images off
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 Using the Fibonacci numbers to represent integers  Ron Knott
We use base 10 for written numbers, and computers use base 2, but what about using the Fibonacci numbers as the column headers? or base Phi (1.618034...) instead of base 10? There are some interesting infinite series that relate to these  each with a
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 Using the Internet: Mathematics  Douglas Butler; Pearson Publishing (U.K.)
A 55page looseleaf book compiled to save teachers time finding excellent resources on the WWW and to provide a curriculumbased bank of ideas. Support activities do not demand that students have free access to the Web. The pack is divided into ten main
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 Wonders of Ancient Greek Mathematics  Timothy Reluga; Tufts University
An arbitrary collection of interesting solutions to geometric problems discovered and solved by the Greeks, limited to intuitive, elegant, or beautiful solutions and some that do not meet these requirements, serving as reminders of the level to which
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 www.caseymongoven.com  Casey Mongoven
In his music, Casey Mongoven works with Fibonacci numbers, related sequences, and the golden ratio. The site includes scores, writings, WAVs, and MP3s among other files available for download. In English and German.
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