Internet Resources for Science and Mathematics
Education, collected by Tom O'Haver.
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 Get Math Help
https://www.chegg.com/homeworkhelp/math
A free study resource and on the spot homework help service
for every subject. Instant access to a wide range of definitions
and concepts methodically explained.
 Texas Instruments Math Classroom Activities
https://education.ti.com/en/activities
Standardsaligned activities designed for the complete line of
Texas Instruments (TI) graphing calculators.
 Mathematics Standards of Learning for Virginia Public
Schools
http://www.pen.k12.va.us/VDOE/Instruction/wmstds/math.shtml#table
Standards and activities by grade level from kindergarden
through high school.
 House of Math Word Problems for Children
http://www.mathstories.com/
Help grade school children improve their math problemsolving
and critical thinking skills. It has over 4000 math word
problems for children to enjoy! This site is completely free
to all parents, students and teachers.
 Middle School Geometry interactive Web sites
http://www.ies.co.jp/math/java/geo/index.html
Angles and Pararell Lines;Congruent Figures and Triangles;
Quadrilaterals and Conservation of Area; Similar Figures;
Circles; Pythagorean Theorem; Miscellaneous.
 Homework Help
http://www.math.com/students/homeworkhelp.html
Prealgebra, algrbra, and geometry help and practice quizes.
 Harcourt Math Glossary
http://www.hbschool.com/glossary/math/index.html
Glossary with illustrated and some animated definitions.
Divided into grades 1  8.
 Harcourt Math Menu
http://www.hbschool.com/menus/l_math.html
Webbased examples from their commercial collection of math
activities for grades 1  8.
 Learning Planet
http://www.learningplanet.com/
Slick animated K6 math practice activities and games.
 Angle Activities
http://www.ambleside.schoolzone.co.uk/ambleweb/numeracy.htm
Interactive activities measuring angles with a virtual
protractor.
 Virtual World Globe and Database
http://www.amiglobe.com/
Shareware interactive world globe and database. Uptodate
world map may displayed as a globe or in several projections.
Extensive database on most countries, facilitates graphing to
compare data. Measures distance between any two points on map.
 Change Maker
http://www.funbrain.com/cashreg/
Interactive Web site that uses a game format to practice
making change. Students have to figure out how many of each
bill or coin that you expect to get back when you pay for
something. Shows the money graphically in your choice of
national currencies.
 Gus and Gertie's Graphin' Gadget
http://www.somewareinvt.com/gusandgertie.htm
Simple but versatile program for plotting functions.
 MathCurve
http://mathcurve.cjb.net/
Nice shareware 2D function plotter with a slick 3D companion
program.
 Interactive math workbook
http://www.inew.com/
Large mathematics database that is useful for practicing and
sharpening various skills for the student in Kindergarten
through grade 6.
 Math puzzle games
http://www.sheppardsoftware.com/
Prime Time Math covers prime numbers, factoring,
squares, cubes, remainders, fractions, percentages, algebra
and most of all logic. Math Function Mania covers
functions and predicion of trends. Shareware versions of both
programs can be downloaded from this site.
 Shapari, shape and pattern exploration
http://www.spelunkcomputing.com/
Produce patterns from very simple shapes and operations. A
light exploration of many mathematical concepts including
shape, size, count, multiplication, symmetry, transformations,
periodicity, convergence, exponential growth, recursion and
fractal geometry. Emphasizes abstract thinking, creativity and
openended exploration. Ages 4 and up. Builtin instructions
and demonstrations.
 Math Worksheets
http://www.edhelper.com/math.htm
Math Worksheets Based on NCTM Standards! Basic math;
mathematical sequences; Decimals; Fractions; Ratios; Percents;
Measurement ; Probability; Algebra; Statistics; Trigonometry.
Every time you click to create a worksheet a New worksheet is
created!
 Awesome Library
http://www.awesomelibrary.org/math.html
Mathematics lesson plans By Grade: Elementary Level;
MiddleHigh School; Lesson Plans; Problem Solving;
Multidisciplinary.
 Math art gallery
http://wwwmath.sci.kun.nl/math/knopen/art_gallery.html
3D fractals; Singularity knots, Singularity knot animations,
Pictures generated by vort.
 Easy Unit Converter
https://www.easyunitconverter.com/
An online unit converter for all types of uits and metric
conversions.
 Graphing and Data Analysis with Technology Across the
Curriculum
http://www.mcps.k12.md.us/departments/isa/secondary_team/agendas/Data_Analysis/data_analysis.htm
Use appropriate technologies to analyze and synthesize
information to construct knowledge and meaning; Support
reading and numeric literacy through data analysis; Identify
features essential to constructing and interpreting graphs,
charts and maps; Identify the representations and
misrepresentations of data; Use a database (Excel) to create a
graph.
 Calculus WIZ
http://www.wolfram.com/wiz
Calculus WIZ is a unique study aid that allows students to
concentrate on concepts, not computations. Given the correct
parameters, Calculus WIZ can solve homework problems at the
click of a button. The new standalone edition is the first in
Wolfram Research's line of customized kernel products...
 Chaos, Fractals, and Arcadia
http://math.bu.edu/DYSYS/arcadia/
An animated description of some of the mathematical ideas
lurking in the background of Tom Stoppard's play "Arcadia".
 MathReader
http://www.wolfram.com/products/mathreader
Colleagues without Mathematica can read and print your
notebooks using the free MathReader utility. Updated versions
of MathReader for Windows and Macintosh, plus a new version
for Unix platforms, can now be downloaded...
 Graph Paper Printer
http://perso.easynet.fr/~philimar/graphpapeng.htm
Graph Paper Printer is a software application designed to
print numerous kinds of graph papers, music manuscripts and
pattern papers, with userdefined sizes and colors
 MathDork
http://www.mathdork.com/
Feebased online algebra tutorials, quizzes and games using
interactive animation. This selfpaced educational tool helps
math students in middle school and high school with algebra
study and homework. $5.95 per month.
 The KnotPlot Site
http://www.cs.ubc.ca/nest/imager/contributions/scharein/KnotPlot.html
Here you will find a collection of knots and links, viewed
from a (mostly) mathematical perspective. Nearly all of the
images here were created with KnotPlot, a fairly elaborate
program to visualize and manipulate mathematical knots in
three and four dimensions. You can download KnotPlot and try
it on your computer.
 Frequently Asked Questions in Mathematics
http://www.cs.unb.ca/~alopezo/mathfaq/index.html
This is a compilation of Frequently Asked Questions (and their
answers) about Mathematics. Topics range from trivia and the
trivial to advanced subjects such as Wiles recent proof of
Fermat's Last Theorem.
 Statistics and Statistical Graphics Resources
http://www.math.yorku.ca/SCS/StatResource.html
Annotated, topicbased collection of available resources for
statistics, statistical graphics, and computation related to
research, data analysis and teaching, now containing over 580
links.
 Mathematics and its applications in engineering and science
http://links.math.rpi.edu/welcome.html
Cooperative effort by mathematicians, engineers and scientists
to develop educational materials that link mathematical topics
with applications in engineering and science. The primary
product of this effort is a set of interactive, webbased
learning modules. Includes Applet
Library.
 Teacher Change
http://change.enc.org/
A collection of resources from the Eisenhower National
Clearinghouse to help educators and professional development
providers facilitate discussion and reflection on improving
K12 mathematics. The materials include professional
development activities, TIMSS publications, articles about
teacher change, and teacher narratives.
 Shape and Space in Geometry
http://www.learner.org/teacherslab/math/geometry/
Geometry and spatial sense, with background on why this is
important and how it is addressed in the standards.
Interactive web activities are included for both space and
shape. For example, students use taxicab geometry in one
activity, where they figure out a hidden treasure in a grid
based on information given by the site. From the CPB/Annenberg
Math and Science Project.
 THE TITANIC: What Can Numbers Tell Us About Her Fatal
Voyage?
http://asterix.ednet.lsu.edu/~edtech/webquest/titanic.html
Using spreadsheets, databases, and graphs, secondary students
will learn statistics about the "real" Titanic's passengers
and crew, exploring them from a mathematical perspective.
 CoolMath: An amusement park of mathematics
http://coolmath.com/index.html
Fractals, computation practice, polyhedra, other interesting
and fun math topics.
 MathSurf
http://www.mathsurf.com/
Activities and teaching tips related to Addison Wesley Longman
textbooks. A problem of the day for different grade levels.
 The Perfect Number Journey
http://home1.pacific.net.sg/~novelway/MEW2/lesson1.html
Lessons on number patterns and properties of numbers. Perfect
numbers are equal to the sum of all of their factors (not
including the number itself).
 Patterns in Mathematics
http://www.learner.org/teacherslab/math/patterns/index.html
Explore logic patterns, number patterns, and word patterns. In
queries about the attributes of things, you'll apply reasoning
to answer "what's next?" not with a number but with a
description. You'll focus on how to develop "function sense"
without simply asking for the next number in the pattern. And
through visual and written forms of expressions, you'll
connect language and mathematics to develop skills for
thinking clearly, strategically, critically, and creatively.
 Tools for Understanding
http://www.ups.edu/community/tofu/
A resource guide for extending mathematical understanding. Our
target audience includes intermediate and middlegrade
teachers (particularly those who teach remedial math classes)
and secondary special educators. While much of this site
focuses on mathematics, there are a number of lessons and
activities that are intended to blend mathematics with writing
and make use of mathematical reasoning in other content areas
such as social studies. Sections on math concepts, integrated
lessons, and journaling.
 Internet Projects for Elementary Statistics
http://hepg.awl.com/weiss/e_iprojects/index.htm
Understand statistics by analyzing real data and interacting
with graphical demonstrations of statistical concepts.
Simulations, demonstrations, and other activities are useful
to anyone interested in statistic
 Statistics.com
http://www.statistics.com/
Information about statistics software (major packages like
SAS, SPSS and SPLUS, shareware and smaller packages too), as
well as about statistics analysis, data analysis and short
courses in statistics.
 Resampling Stats
http://www.resample.com/
Resampling (drawing repeated samples from the given data, or
population suggested by the data) is a new method for the
solution of confidence limits, hypothesis tests, and other
everyday inferential problems. Resampling uses simulations in
place of the complicated mathematics, formulas and tables of
parametric and nonparametric tests.
 DIGSTATS
http://www.cvgs.k12.va.us/DIGSTATS/
WWW resource for integrating statistics and data visualization
into mathematics and science courses in secondary schools,
community colleges and undergraduate programs. Modules cover
concepts from descriptive statistics, inferential statistics,
two dimensional graphical analysis and three dimensional data
visualization.
 Gallery of Data Visualization: The Best and Worst of
Statistical Graphics
http://www.math.yorku.ca/SCS/Gallery/
Some examples of the Best and Worst of Statistical Graphics,
with the view that the contrast may be useful, inform current
practice, and provide some pointers to both historical and
current work. We go from what is arguably the best statistical
graphic ever drawn, to the current recordholder for the
worst.
 EggMath
http://chickscope.beckman.uiuc.edu/explore/eggmath/
A collection of Web modules (many with interactive applets)
covering different topics in K12 mathematics related to eggs
(that's right, eggs!). Symmetry, exponential growth, etc.
 Latitude/Longitude Distance Calculation
http://www.nau.edu/~cvm/latlongdist.html
Determine the distance between two points on the earth given
their latitudes and longitudes. Links to a description to the
math behind the calculation.
 The Golden Ratio
http://www.geom.umn.edu/~demo5337/s97b/
Introduction to the Golden Ratio and Fibonacci Sequence.
Instead of simply supplying definitions and asking the student
to engage in mindless practice, our idea is to have the
student work through several activities to discover the
applications of the Golden Ratio and Fibonacci Sequence.
 Mathematics on the WWW
http://www.geocities.com/CapeCanaveral/Hall/3917/GWB/Mathematics/Mathematics.html
 Links related to Statistics Education
http://noppa5.pc.helsinki.fi/links.html
Large set of links to online Statistical teaching material,
courses , handouts, exercises, articles, datasets.
 Stella simulation software
http://www.hpsinc.com/edu/stella/stella.htm
Simulation software for easy construction of dynamic
simulations of timedependent processes. Very popular in
science and integrated mathematics/science classes. Used at
middle school to undergraduate college level.
 Extend
http://www.imaginethatinc.com/
Powerful simulation software system, used in industry and
education.
 The Mathematical Miseducation Of America's Youth
http://www.pdkintl.org/kappan/kbat9902.htm
Illustrated article from the Phi Beta Kappa magazine, Feb.
1999, by a professor of mathematics education at Kent State
University.
 Parrot Math
http://www.pdkintl.org/kappan/kobr9902.htm
We cannot go back to basics as the critics demand, because
we've been there all along. And the fact is that the
backtobasics approach, not the activitybased approach the
critics abhor, has failed us badly. Article from the Phi Beta
Kappa magazine, Feb. 1999, by a professor in the Department of
Curriculum and Instruction at Southern Illinois University.
 Some disasters attributable to bad numerical computing
http://www.math.psu.edu/dna/disasters/disasters.html
The Patriot Missile failure, in Dharan, Saudi Arabia, on
February 25, 1991 which resulted in 28 deaths, is ultimately
attributable to poor handling of rounding errors. The
explosion of the Ariane 5 rocket just after liftoff on its
maiden voyage off French Guiana, on June 4, 1996, was
ultimately the consequence of a simple overflow. The sinking
of the Sleipner A offshore platform in Gandsfjorden near
Stavanger, Norway, on August 23, 1991, resulted in a loss of
nearly one billion dollars. It was found to be the result of
inaccurate finite element analysis.
 Circles of Light: The Mathematics of Rainbows
http://www.geom.umn.edu/education/calcinit/rainbow/
How are rainbows formed? Why do they only occur when the sun
is behind the observer? If the sun is low on the horizon, at
what angle in the sky should we expect to see a rainbow? This
lab helps to answer these and other questions by examining a
mathematical model of light passing through a water droplet.
 The University of Minnesota Calculus Initiative
http://www.geom.umn.edu/education/calcinit/
Interactive technologybased modules for the engineering
calculus sequence. These modules emphasize geometric concepts
of calculus while examining applications of mathematics to the
physical and life sciences.
 Biographies of Women Mathematicians
http://www.agnesscott.edu/lriddle/women/women.htm
These pages are part of an ongoing project by students in
mathematics classes at Agnes Scott College, in Atlanta,
Georgia, to illustrate the numerous achievements of women in
the field of mathematics. There are biographical essays or
comments on most of the women mathematicians and some photos.
 Teach/Me  Data Analysis
http://www.vias.org/teachme/
Teach/Me  Data Analysis is a software system for networked
environments that has been developed to support the teaching
and learning of the statistical analysis of data. Teach/Me is
an open system which is based on internet standards (HTML, and
VRML) enabling the teacher to provide students with additional
material via the web. In addition, a special client delivers
full power and support for teaching and learning.
 Tessel version 2
http://www.uniovi.es/~quimica.fisica/qcg/tessel/tessel.html
Tessel2 is a 3D "compiler" to produce crystal and molecular
models, parametric surfaces and several forms of sphere
tesselations. Molecular models combine ballsandsticks,
arrows and coordination polyhedra representations of pure and
defective crystals, finite molecules or clusters. Several
methods for tesselating the sphere are currently implemented,
including: recursively subdividing a inscribed cube,
tetrahedron or octahedron; geodesic division based on a number
of meridians and parallels; and minimization of the
electrostatic repulsion of a set of points lying on the sphere
surface. The program produces output to be rendered with
POVRay 2 or 3, Geomview (OFF format), or any Virtual Reality
renderer (VRML V1.0 format). In addition, a very simple output
(POINTS) is provided for those applications in which a list of
points is best suited.
 The Connected Curriculum Project
http://www.math.montana.edu/~frankw/ccp/home.htm
The Connected Curriculum Project uses the usual three
perspectives  numeric, visual (graphic), and algebraic  to
help understand phenomena involving mathematics. In addition,
we use handson experimentation. We chose this module as the
starting point for our tour because it illustrates the use of
handson experimentation and our emphasis on using mathematics
as a language to express, communicate, and reason about
realworld phenomena. One of the central themes of this
modeling course is Newton's Model of Cooling. As with all
models, the limitations of Newton's Model are as important as
its successes in describing realworld phenomena. We begin
with an experiment, described in this module, intended for
high school or middle school science or mathematics classes.
 SCORE Mathematics Lessons
http://score.kings.k12.ca.us
These SCORE Mathematics Lessons have been written by teachers
selected to participate in SCORE Mathematics workshops. This
page is designed especially for mathematics teachers and
students in California. Its contents and links reflect our
state's Mathematics Framework and the NCTM Standards.
 Fermi Questions Library
http://forum.swarthmore.edu/workshops/sum96/interdisc/sheila3.html
Fermi questions emphasize estimation, numerical reasoning,
communicating in mathematics, and questioning skills. Students
often believe that "word problems" have one exact answer and
that the answer is derived in a unique manner. Fermi questions
encourage multipl e approaches, emphasize process rather than
"the answer", and promote nontraditional problem solving
strategies.
 Project SkyMath: Making Mathematical Connections Using the
Science and Language of Patterns to Explore the Weather
http://www.unidata.ucar.edu/staff/blynds/Skymath.html
This Web Page is designed for middle school mathematics
teachers. It contains all of the information needed for
teachers to use the 15 classroom activities of SkyMath,
including the module itself. We believe that it is an
effective and innovative way to present elements of the middle
school mathematics curriculum.
 Math Connections
http://www.mathconnections.com/index3.html
HS math curriculum that seeks to connect math to the real
world.
 HTML Math Overview
http://www.w3.org/Math/
Various ways to present math expressions on Web pages.
 Mathematics Information Servers
http://www.math.psu.edu/MathLists/Contents.html
Comprehensive set of links to mathematicsrelated Internet
servers all over the world.
 Numerical methods
http://www.math.psu.edu/dna/num_methods.html
Database of Numerical methods
 Macsyma
http://www.Macsyma.com
Macsyma, one of the three large symbolic and numeric
mathematical software packages in the world, is now available
in Version 2.2 which sets an unequaled standard for
friendliness and ease in mathematical computing. The new
Natural Language Query feature allows users to type in a
request (such as, for instance, "provide the sum of trig
functions").
 InvestSmart
http://library.advanced.org/10326/
Developed by students for the ThinkQuest competition, this
site includes basics, lessons, a simulation, and examples. In
the interactive stock market simulation, each "player" is
given $100,000 to invest in over 5,000 companies. Other
features include easy setup for classes or investment clubs, a
"Group Directory" view of each student portfolio, research
capability of stocks, benchmark of each portfolio, and helpful
set up tips for classes from 20 to100 students.
 Gordon's Games: Simple Math, Not So Simple Math, and Not
Just Math
http://users.uniserve.com/~g_games/
Simple arithmetic games (math games) and variations, made up
by the author over a number of years in teaching young
children, which are contained in a 24 page booklet. As well
there are suggestions for similar games using number, letter,
and word cards. There is also a spelling game, and an
arithmetic game, for the whole class. The games deal with
number recognition, order, comparison of value, place value,
addition, subtraction, multiplication, division, multiples,
factors, and even fractions and decimals if you want to carry
them that far. There are games that cover the basic skills for
each of the grades from K3, ages 58. Most games can be used
at home, and played in any language.
 Scilab, a free scientific software package for numerical
computations
http://wwwrocq.inria.fr/scilab/
Scilab is a scientific software package for numerical
computations in a userfriendly environment. It features:
Elaborate data structures (polynomial, rational and string
matrices, lists, multivariable linear systems,...).
Sophisticated interpreter and programming language with
Matlablike syntax. Hundreds of builtin math functions (new
primitives can easily be added). Stunning graphics (2d, 3d,
animation). Open structure (easy interfacing with Fortran and
C via online dynamic link). Many builtin libraries: Linear
Algebra (including sparse matrices, Kronecker form, ordered
Schur,...). Control (Classical, LQG, Hinfinity,...). Package
for LMI (Linear Matrix Inequalities) optimization. Signal
processing. Simulation (various ode's, dassl,...).
Optimization (differentiable and nondifferentiable, LQ
solver). Scicos, an interactive environment for modeling and
simulation of hybrid systems. Metanet (network analysis and
optimization). Symbolic capabilities through Maple interface.
 UCALC: A Windows Multipurpose Calculator
http://www.ucalc.com
Whether you need to compute compound interest, convert from
miles to kilometers, solve a quadratic equation, plot a 3D
surface, or simply add up bills, you will find a tool in UCALC
4.0 which performs the task. UCALC for Windows 95: Ê$40;
Ultimate Calculator (DOS): Ê$25
 Statistics Every Writer Should Know
http://nilesonline.com/stats/
This easytounderstand guide offers short lessons (with
examples!) in basic mathematics for journalists and other
writers
 Ask Dr. Math
http://forum.swarthmore.edu/dr.math/drmath.html
You can submit your K12 math question using the above link or
by sending email to dr.math@forum.swarthmore.edu. Tell us
what you know about your problem, and where you're stuck and
think we might be able to help you. Dr. Math will reply to you
via email, so please be sure to send us the right address.
K12 questions usually include what people learn in the U.S.
from the time they're five years old through when they're
about eighteen. Elementary School Level, Middle School Level,
High School Level, College Level and Beyond.
 Web sites and resources for teaching math
http://www.sitesforteachers.com/
Lesson Plans For A Variety Of Math Topics; Ideas And
Activities; Bits & Blurbs; Online Strategy And Board Games
For Math; Other Resources For Teaching Math; Major Math
Education Organizations. (Drs. Vicki F. Sharp and Richard M.
Sharp, Professors of Elementary Education at California State
University, Northridge.)
 MATLab Programs and Activities
http://isaac.williamsport.wa.k12.md.us/~ctrout/sciproj/MATLAB/index.html
MATLab programs, worksheets and activities developed at a high
school Often sample data files are included. The programs are
barely beta versions and require thorough testing.
 Sound of Trigonometry
http://www.math.montana.edu/~frankw/ccp/beforecalculus/trigonometry/soundtrg/learn.htm
When you think trigonometry you should think triangles  not
just geometric triangles but musical triangles  because
trigonometry is the mathematics of sound and music.
 MLAB software for mathematical and statistical exploration
http://www.civilized.com
Advanced mathematical and statistical modeling system for
mathematical and statistical exploration, and for solving
simulation and modeling problems such as chemical kinetics,
pharmacological compartmental models, multiple site ligand
binding, neurophysiological modeling, and ultracentrifuge
models, wetc. Runs on PC, Mac, SUN, RS6000, DECAlpha, Convex,
SGI, NeXT (Motorola, Intel, and HP. Descriptive material plus
a collection of technical reports showing the application of
MLAB are available.
 A Brief History of Algebra and Computing: An Eclectic
Oxonian View
http://www.comlab.ox.ac.uk/oucl/users/jonathan.bowen/algebra/algebra.html
An interesting paper on the origins of algebra and its
history. There is also a discussion of how algrbra and
computing go together
 Dave's Math Tables
http://www.sisweb.com/math/tables.htm
One expects just tables, but gets more  lots of formulas,
identities, tables, series, etc. For example, surface areas
for geometric figures, trig identities  a great reference for
college math students.
 Mathematical Quotation Server
http://math.furman.edu/~mwoodard/mquot.html
Comprehensive collection of mathrelated quotes, organized by
author or quote. You may browse, search by keyword, etc.
 Mandelbrot Explorer
http://www.softlab.ece.ntua.gr/miscellaneous/mandel/
A graphical exploratwin of the Mandelbrot set that is
interactive  zoom in and out at userselected points, plus a
gallery of colorful fractal designs.
 Tessellation Tutorials
http://forum.swarthmore.edu/sum95/suzanne/tess.intro.html
 MegaMathematics
http://www.c3.lanl.gov/megamath/menu.html
MegaMath offers a number of mathematical concepts which would
supplement curriculum documents. There are a number of
activities which allow students to explore and understand some
different, yet interesting math topics. For example, students
can learn all about logic, graphs, infinity, algorithms, and
mathematical knots through games, activities, plays and
problem solving stories.
Applications
and Misapplications of Cognitive Psychology to Mathematics
Education.  John R. Anderson, Lynne M. Reder,
Herbert A. Simon
We show that cognitivism does not imply outright rejection of
decomposition and decontextualization. We critically analyze two
movements which are based in part on this rejectionsituated
learning and constructivism. Situated learning commonly
advocates practices that lead to overly specific learning
outcomes while constructivism advocates very inefficient
learning and assessment procedures. The modern
informationprocessing approach in cognitive psychology would
recommend careful analysis of the goals of instruction and
thorough empirical study of the efficacy of instructional
approaches.
 On Growth & Form: Learning Probability Concepts By
"Doing Science"
http://cpswww.bu.edu/~trunfio/cpsogaf.html
Analyzing fractal patterns in nature. In each module, students
typically start with a handson activity in which they flip
coins or roll dice to mimic the randomness involved in forming
structures such as lightning bolts, coastlines, neurons,
termite tunnels, bacterial colonies, root systems, forest
growth, soil cracking, galactic distributions, mountain
ranges, deltas, tides, clouds, DNA nucleotide sequencing,
coral formations, and body organs. As repetitive coin flipping
becomes tedious, students turn to computer simulations, which
demonstrate how fundamentally random microscopic events can
give rise to fractal macroscopic patterns. The programs can be
downloaded right from this page.
 SimCalc: Simulations for Calculus Learning
http://tango.mth.umassd.edu/
The SimCalc Project aims to democratize access to the
Mathematics of Change for mainstream students by combining
advanced simulation technology with innovative curricular
solutions that begin in the early grades and includes powerful
ideas extending beyond classical calculus.
 "Measuring Up": Prototypes for Mathematics Assessment
(1993)
http://www.nap.edu/books/0309048451/html/index.html
An electronic version of "Measuring Up," a popular book by the
National Research Council on assessing students in accordance
with the National Council of Teachers of Mathematics (NCTM)
math standards, is now available. "Measuring Up" provides
examples of problems that students should be able to solve at
a fourth grade level as well as insights on how to evaluate
their responses.
 Integrated Math Tools Project
http://www.umassd.edu/Public/People/MBurke/IMT/IMTproject.html
A series of math learning software "tools" for use by teachers
and students (K6). The implication is that the software we
develop is not the drill and practice software typically found
in elementary schools. Rather, the software we conceptualize
provides students with a collection of integrated worlds
within which they can explore fundamental mathematics
concepts.
 The Slide Rule Home Page
http://www.photobooks.com/~slipstick/slipstik.html
Yes, you read it right. It's the long lost, rather callously
discarded ancestor of the calculator and computer. Ever since
the invention of the transistor, people have sneered,
uncaring, at this workhorse of the sciences. Caught up in the
glitz and hype of such slogans as "Capable of Millions of
Operations per Second," (Oh, yeah, like that matters) people
have no more use for these instruments, which perform
mathematical functions from simple multiplication to trig and
complex numbers, depending on the type you own, quite nicely,
thank you very much.
 The FAMILY MATH Home Page
http://theory.lcs.mit.edu/~emjordan/famMath.html
FAMILY MATH is a program developed by EQUALS, at the Lawrence
Hall of Science, University of California, Berkeley,
California. The goal of FAMILY MATH is to encourage
underrepresented groups (especially girls and minority
students) to enter careers that use mathematics. FAMILY MATH
is, of course, familybased. Includes back Issues of The
FAMILY MATH Newsletter
 Graphics for the calculus classroom
http://www.math.psu.edu/dna/graphics.html
Excerpts from a collection of graphical demonstrations
developed for first year calculus by Douglas N. Arnold at
Penn. State. Includes mpeg animations and Mathematica
notebooks. Topics include: Derivatives and differentials;
Computing the volume of water in a tipped glass; Archimedes'
calculation of ¹; How the ball bounces; Secants and tangents;
Zooming in on a tangent line; A trigonometric limit; A nowhere
differentiable function; The intersection of two cylinders
 The Geometry Forum
http://forum.swarthmore.edu/
A Virtual Center for Math Education on the Internet Funded by
the National Science Foundation
 K12 Teaching Materials
http://archives.math.utk.edu/k12.html
The following are Internet sites which contain significant
collections of materials which can be used in the teaching of
mathematics at the K12 level. We have organized these
materials into the following categories: Lesson Plan, Schools,
Software.
 Guide to Available Mathematical Software
http://gams.nist.gov/
This is a gateway to the NIST Guide to Available Mathematical
Software, a crossindex and virtual repository of mathematical
and statistical software components of use in computational
science and engineering.
 Mathematics Archive at the University of Kentucky
http://archives.math.utk.edu/
Materials available on the Mathematics Archives are classified
into five main categories: Topics in Mathematics:Teaching
materials, software, WWW links organized by Mathematical
Topics. Searchable database. Software: Public domain and
shareware software, links to other software sites. Teaching
Materials: Calculus Resources Online, Emerging Scholars
Program, Graphing Calculators, JAVA and Other Interactive WWW
Pages, K12 Teaching Materials, Lessons, Tutorials and Lecture
Notes, Visual Calculus, etc. Other Math Archives Features:
Electronic Proceedings of the CTM and the ICTCM,
POPMathematics, Project NEXT, UTK Mathematical Life Sciences
Archives, etc.
 Galaxy's list of Math Sites
http://galaxy.einet.net/galaxy/Science/Mathematics.html
Algebra, Applied Math, Calculus, Geometry, Number Theory,
Statistics, Topology.
 Complexity Online
http://complex.csu.edu.au/complex/
Complexity Online is a scientific information network about
complex systems. You will find access to sites, publications
(including the Complexity Online Journal ) and other sources
of interest.
 Fractal pictures & animations
http://graffiti.ubordeaux.fr/MAPBX/roussel/
FRACTAL images & animations of CNAM Paris. A french
version of these web pages is available Some very nice
Mandelbrot pictures & zooming animations are available
 The Fractal Microscope: A Distributed Computing Approach to
Mathematics in Education
http://www.ncsa.uiuc.edu/Edu/Fractal/Fractal_Home.html
The Fractal Microscope is an interactive tool designed by the
Education Group at the National Center for Supercomputing
Applications (NCSA) for exploring the Mandelbrot set and other
fractal patterns. By combining supercomputing and networks
with the simple interface of a Macintosh or XWindows
workstation, students and teachers from all grade levels can
engage in discoverybased exploration. The program is designed
to run in conjunction with NCSA imaging tools such as
DataScope and Collage. With this program students can enjoy
the art of mathematics as they master the science of
mathematics. This focus can help one address a wide variety of
topics in the K12 curriculum including scientific notation,
coordinate systems and graphing, number systems, convergence,
divergence, and selfsimilarity.
 Gallery of Interactive Geometry
http://www.geom.umn.edu/apps/gallery.html
In order to enjoy this exhibit, you will need a Web browser
that understands graphical FillOut Forms.
 Data Powers of Ten
http://www.ccsf.caltech.edu/~roy/dataquan/
The following list is a collection of estimates of the
quantities of data contained by the various media. Each is
rounded to be a power of 10 times 1, 2 or 5. Most of the links
are to small images. Suggestions and contributions are
welcomed, especially picture files or pointers to pictures,
and disagreements are accepted at roy@caltech.edu. The numbers
quoted are approximate. In fact a kilobyte is 1024 bytes not
1000 bytes but this fact does not keep me awake at night.
 Annotated Internet Resource Collection
http://forum.swarthmore.edu/library/
A welldeveloped, annotated, searchable collection of Web
resources for teachers and mathematicians. Everything from
math departments and graphics to lesson plans and software.
All sorts of general education resources from education
departments and virtual field trips to lesson plan archives,
professional organizations, and software.
 MathMagic
http://forum.swarthmore.edu/mathmagic/
MathMagic is a K12 telecommunications project developed in El
Paso, Texas. It provides strong motivation for students to use
computer technology while increasing problemsolving
strategies and communications skills. MathMagic posts
challenges in each of four categories (k3, 46, 79 and
1012) to trigger each registered team to pair up with another
team and engage in a problemsolving dialog. When an agreement
has been reached, one solution is posted for every pair.
 MathMol (Mathematics and Molecules)
http://www.nyu.edu/pages/mathmol/
An introductory starting point for those interested in the
field of molecular modeling.
 Learning Through Collaborative Visualization Project
(CoVis).
http://www.covis.nwu.edu/
This is the web site of the Learning Through Collaborative
Visualization Project (CoVis). Today, CoVis is a community of
thousands of students, over one hundred teachers, and dozens
of researchers all working together to find new ways to think
about and practice science in the classroom.
 MAPLE home page
http://www.maplesoft.com/
Maple V, a leading interactive mathematical problemsolving
and programming environment featuring symbolic, numeric, and
visualization facilities. Maple V is used worldwide by more
than 100,000 users in research, education, and industry.
 Authentic Assessment in Mathematics
http://forum.swarthmore.edu/sum94/project2.html
The goal of this project was to collect and organize available
INTERNET resources on Authentic Mathematical Assessment
applicable to Secondary Schools. What is it? Are there
examples? Where can I find additional information?
 MatLab home page
http://www.mathworks.com/
Software via FTP; User contributed Mfiles; MathWorks
contributed Mfiles
 Mathematica
http://www.wri.com/
Home page of the famous mathematics software program.
"[Mathematica 4] is an extremely powerful tool with which to
understand and solve a variety of problems." Science,
December 1999
 STELLA Models
http://isaac.williamsport.wa.k12.md.us/~ctrout/sciproj/STELLA/index.html
Library of STELLA models in the Physics and Chemistry high
schoolClassroom
 Netlib Repository
http://netlib2.cs.utk.edu/
Netlib is a collection of mathematical software, papers, and
databases.
 http://aleph0.clarku.edu/~djoyce/roulettes/roulettes.html
Roulettes are produced when circles revolve around or inside other
circles. More precisely, they are the locus of a point on, inside,
or outside the revolving circle. When the drawing point is right
on the rotating circle, an epicycloid or hypercycloid is produced.


Math discussion group
Numerical analysis
discussion group
Math research discussion group
Symbolic math discussion group
Statistics discussion group