January 1997: The Mathematics of
Cartography - Cynthia Lanius.
What exactly are maps? What is the history of mapmaking? What
mathematics do you use with maps? Cynthia Lanius' new Web unit discusses
how maps are used and gives examples of different kinds of maps. It
covers the history of maps and math topics related to cartography:
lines, points, areas, coordinates, etc., in particular scale, coordinate
systems, and projection. Math problems featuring Web-based technologies
help students learn about latitude and longitude, and a mapmaker
crossword puzzle teaches vocabulary. There's a list of cartography sites
on the Web to use as resources for learning about maps and careers in
mapmaking, and teachers' notes following the NCTM Standards and a
bibliography of off-line references are also included.
February 1997: DAU Math Refresher
An interactive tutorial which gives a comprehensive view of basic
mathematics, covering arithmetic, fractions, exponents, logarithms,
quadratic equations, series, functions, limits, domains & ranges,
intercepts, graphing functions, derivatives, and integrals. Practice
problems and self-tests are included. Intended for use by Defense
Acquisition University (DAU) course participants, but can helpful for
mathematics students in middle school and above. The Statistics Refresher
Tutorial covers topics in basic probability (random variables,
expectations, distribution) and statistics (regression, data analysis,
AP Statistics On The Web:
Comprehensive statistics resources include information on textbooks,
reference materials, software, TI calculator programs, and the College
Board. The site also features discussions on apstat-l and a selection of
tests. AP Statistics - A
Measure of Excellence: This course from the Buckingham Browne &
Nichols School emphasizes projects that require hands-on gathering and
analysis of real world data. The site provides homework assignments and
makes use of the popular "Workshop Statistics" text.
Symmetries and Introduction
to Wallpaper Patterns.
"Pattern and symmetry are as ancient as rhythm and language, and appear
in virtually every human culture." Introduction to Symmetries studies
isometries, which preserve distances, including definitions, isometry
exercises, and combining symmetries. Homework exercises require the use
of software such as The Geometer's Sketchpad and KaleidoTile. The
wallpaper unit introduces plane patterns whose symmetries are
translations, glide reflections, and rotations. Its contents include
definitions; Kali exercises; supplemental materials from Geometry and
the Imagination: Names for features of symmetrical patterns; other types
of patterns; and how to use Kali. These pages are based on notes by
Chaim Goodman-Strauss, revised and edited by Heidi Burgiel.
May 1997: S.O.S.
The Web site of the Department of Mathematical Sciences at the
University of Texas, El Paso has created materials to help students do
homework, prepare for a test, or get ready for a class. These pages
feature the most important esults, techniques, and formulas in college
and pre-college mathematics and offer an excellent means of reviewing
math concepts. The learning units are presented in worksheet format with
examples and interactive exercises, and require the student's active
participation. Subjects covered include algebra (with a review of such
pre-algebra topics as fractions and decimals), trigonometry, calculus,
differential equations, complex variables, and matrix algebra.
June 1997: Alexander Bogomolny's
Miscellany and Puzzles.
An award-winning Math site with games, puzzles, quotes, and short essays
on a variety of topics. Sections on arithmetic, geometry, algebra, and
probability offer a rich lode of explanations and information.
July 1997: The Geometry
Junkyard - David Eppstein, Theory Group, ICS, UC Irvine.
A collection of usenet clippings, web pointers, lecture notes, research
excerpts, papers, abstracts, programs, problems, and other material
related to discrete and computational geometry - some serious and much
also entertaining. Eppstein sorts his "junk" into "piles" or topics.
Also see Eppstein's other pages, Geometry in
Action, which is devoted more to applications and less to pure math,
and his non-geometrical Recreational
August 1997: Calculators and Unit Conversions
Calculators On-line Center is an extensive collection of online
tools for calculation and conversion. The many choices offered run the
gamut from using an abacus or a slide rule online or calculating
equivalents for all kinds of measurements, to evaluating everything from
differential equations to Delaunay triangulations. You can also try out
over 130 statistical calculators.
Many online calculators require a java-capable browser.
Here's one that doesn't: Entisoft's Measurement conversion
Calculator will perform over 500 different unit conversions for
distance, area, volume, mass, speed, temperature, pressure, energy,
power, force, etc.
September 1997: Real Analysis and Calculus
Graphics for the
Calculus Classroom - Douglas N. Arnold
Animations and still images illustrate concepts from first-year
calculus, including: Differentials
and Differences; How
the Ball Bounces; and Secants
and Tangents. The Mathematica and Matlab files used to create these
graphics are available, as well as tips for classroom use. Douglas N.
Arnold, Professor of Mathematics at Penn State University, has developed
these graphical demonstrations to enrich his first-year calculus
Real Analysis - Bert Wachsmuth
An online, interactive textbook for Real Analysis or Advanced Calculus
in one real variable. Bert G. Wachsmuth is Assistant Professor of
Mathematics and Computer Science at Seton Hall University, South Orange,
October 1997: Shack's Math Problems -
A math and logic page that offers 4 marked levels of difficulty, with
four-star and unsolved problems for those with a strong math background,
and answers and (usually) solutions that explain them.
November 1997: Foundations
of Mathematics - Roger Blumberg
A summer 1997 program for high school students from the Division of
Special Programs, Columbia University. An introduction to some key
mathematical habits and concepts not often taught at the pre-college
level, this site serves as a model for presenting and augmenting a
course on the Web.
December 1997: Math Teacher
Link - A Netmath Coalition Project
Professional development opportunities and classroom resources for high
school and lower division college level teachers. For-credit courses and
tutorials cover algebra, calculus, geometry, statistics, some
programming, and using the Internet. Current non-credit courses include
downloadable and online interactive tutorials for the TI-82 and TI-92
calculators, and "UserActive," an interactive HTML tutorial for