24 May 1999 Vol. 4, No. 21
THE MATH FORUM INTERNET NEWS
Kunkel's Math Lessons | Field Guide to Functions - OSU |
Calendars - Math Library
KUNKEL'S MATHEMATICS LESSONS - Paul Kunkel
http://www.nas.com/~kunkel/math.htm
Kunkel's Geometer's Sketchpad lessons aim to convey a
conceptual understanding, usually without rigorous proof,
with questions and suggestions for extensions. They include:
- Buffon's Needle - an old probability exercise
- Chinese Handcuffs - questions with applications for
geometry, trigonometry, and probability
- Hanging with Galileo - an investigation into the catenary
- Reuleaux Triangle - a figure that is not a circle, but
has constant width
- Rungs and Vineyards - visual effects seen from a moving
automobile
- Sketchpad Ellipses - investigating ellipses by tracing
triangle transformations
An annotated gallery of sketches, without commentary, for
Physics, Calculus, and other miscellaneous topics is also
provided:
http://www.nas.com/~kunkel/gallery/gallery.htm
Lessons without GSP sketches include:
- Dodecahedron Measures - dihedral angle and volume
- Planimeter - a drafting instrument used to measure area
- Table Patterns - modular multiplication
- Volume of a Torus - with a virtual reality drawing
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FIELD GUIDE TO FUNCTIONS - Oregon State University (OSU)
http://iq.orst.edu/cq/w99/osu_1/FieldGuide/
A review and reference for the functions commonly encountered
in single-variable calculus, discussing the significance,
basic notation, and properties of each function.
Examples of calculations are on following pages, with
exercises for each topic: linear, polynomial, power,
rational, exponential, logarithmic, trigonometric, and
piecewise functions. Also included are algebraic operations
on functions, function composition, and general types of
functions.
This field guide is designed to support William A. Bogley
and Robby Robson's CalculusQuest, the first in a standard
sequence of University of Oregon calculus courses:
http://iq.orst.edu/cq/
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CALENDARS - Internet Mathematics Library
http://mathforum.org/library/topics/cals_dates_time/
Browse the Math Forum's collection of sites on calendars,
dates, and time, to find lesson plans and articles on
calendars from around the world. Highlights include:
- The Aztec Calendar - Rene Voorburg
http://www.azteccalendar.com/
historical information and illustrations of the two
independent systems comprising the Aztec calendar
- Calendar Quirks - Ivars Peterson (MathTrek)
http://www.maa.org/mathland/mathtrek_12_21_98.html
an article about our efforts to create frameworks that
allow us to reckon time over extended periods
- Calendars - L. E. Doggett
http://astro.nmsu.edu/~lhuber/leaphist.html
an introduction to calendars: what they are; astronomical
bases of calendars; calendar reform and accuracy;
historical eras and chronology; and more
- Day Of The Week Of Any Date - Jim Loy
http://www.mcn.net/~jimloy/day-week.html
how to figure the day of the week for any date
- The Maya Calendar
http://www.astro.uva.nl/~michielb/maya/calendar.html
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