[Main Index] [New and Notable] [Education] [Mathematics] [Integrated Science and Mathematics] [Physics and Astronomy] [Chemistry] [Biology, Biochemistry, and Natural History] [Earth Science and Paleontology] [Computers and Technology] [Downloadable software] [Pages by and for K-12 schools] [Multicultural connections] [History of Science] [Art connections] [Music connections] [Subject Catalogs and indices] [Search tools] [Family and personal interest] [State of Maryland and the Local Area]

Last updated and all links checked February 8, 2001.

**Hint:** Looking for something specific? Use the **Find** command in the **Edit** menu
(or press Ctrl-F) to search for keywords.

**Amy's Math Activities**

http://teams.lacoe.edu/documentation/classrooms/amy/amy.html- Number concepts, algrbram and geometry activities and Web sites for K-8 grades.

**Math Explorer and Explorer Plus Activities for Middle School Math**

http://www.ti.com/calc/docs/actexpmidd.htm- Activities for the Texas Instruments calculator: divisibility rules; number patterns;
irrational numbers; place value; improper fractions and mixed numbers, etc.

**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 problem-solving 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- Pre-algebra, 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 Manu**

http://www.hbschool.com/menus/l_math.html- Web-based examples from their commercial collection of math activities for grades 1 - 8.

**Learning Planet**

http://www.learningplanet.com/- Slick animated K-6 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. Up-to-date 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
open-ended exploration. Ages 4 and up. Built-in 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;
Middle-High School;
Lesson Plans;
Problem Solving;
Multidisciplinary.

**Math art gallery**

http://www-math.sci.kun.nl/math/knopen/art_gallery.html- 3D fractals; Singularity knots, Singularity knot animations, Pictures generated by vort.

**Excel mathematics**

http://www.mathtools.net/Excel/Mathematics/index.html- A collections of ideas and downloads for using the Excel spreadsheet in mathematics teaching, mostly at secondary and college level.

**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 stand-alone 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 user-defined sizes and colors

**MathDork**

http://www.mathdork.com/- Fee-based on-line algebra tutorials, quizzes and games using interactive animation. This
self-paced 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/~alopez-o/math-faq/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, topic-based 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, web-based
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
K-12 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 middle-grade 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 S-PLUS, 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 non-parametric 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 record-holder for the worst.

**EggMath**

http://chickscope.beckman.uiuc.edu/explore/eggmath/- A collection of Web modules (many with interactive applets) covering different topics
in K-12 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- Large list of links.

**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.hps-inc.com/edu/stella/stella.htm- Simulation software for easy construction of dynamic simulations of time-dependent
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 back-to-basics approach, not the activity-based 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 lift-off 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/calc-init/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/calc-init/- Interactive technology-based 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 on-going 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 balls-and-sticks, 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 POV-Ray 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 hands-on
experimentation. We chose this module as the starting point for our tour because it illustrates the use of
hands-on experimentation and our emphasis on using mathematics as a language to express,
communicate, and reason about real-world 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 real-world 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 non-traditional 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 mathematics-related
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 K-3, ages 5-8.
Most games can be used at home, and played in any language.

**Scilab, a free scientific software package for numerical computations**

http://www-rocq.inria.fr/scilab/- Scilab is a scientific software package for numerical computations in a user-friendly
environment. It features:
Elaborate data structures (polynomial, rational and string matrices, lists, multivariable linear
systems,...).
Sophisticated interpreter and programming language with Matlab-like syntax.
Hundreds of built-in 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 built-in libraries:
Linear Algebra (including sparse matrices, Kronecker form, ordered Schur,...).
Control (Classical, LQG, H-infinity,...).
Package for LMI (Linear Matrix Inequalities) optimization.
Signal processing.
Simulation (various ode's, dassl,...).
Optimization (differentiable and non-differentiable, 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 Multi-purpose 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 easy-to-understand guide offers short lessons (with examples!) in basic mathematics for journalists and other writers

**Ask Dr. Math**

http://forum.swarthmore.edu/dr.math/dr-math.html- You can submit your K-12 math question using the above link or by sending e-mail 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 e-mail, so
please be sure to send us the right address. K-12 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/before-calculus/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,
DEC-Alpha, 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 math-related 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 user-selected points, plus a gallery of colorful fractal designs.

**Tessellation Tutorials**

http://forum.swarthmore.edu/sum95/suzanne/tess.intro.html- What Is a Tessellation?
Investigating Tessellations Using Activity Pattern Blocks; HyperCard: Black & White Tessellations.
HyperStudio: Color Tessellations. Step-by-step instructions and
illustrated tutorials on The Four Types of Symmetry in the Plane,
Glide Reflections,
Rotations, and
Repeated Reflections of an "R" . Very nicely done.

**MegaMathematics**

http://www.c3.lanl.gov/mega-math/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.

- 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 rejection--situated 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 information-processing 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://cps-www.bu.edu/~trunfio/cps-ogaf.html- Analyzing fractal patterns in nature. In each
module, students typically start with a hands-on 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 (K-6).
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, family-based. 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

**K-12 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 K-12 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 cross-index 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 On-line, Emerging Scholars Program, Graphing Calculators, JAVA
and Other Interactive WWW Pages, K-12 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 On-line**

http://complex.csu.edu.au/complex/- Complexity On-line is a scientific information network about complex systems. You will find access to
sites, publications (including the Complexity On-line Journal ) and other sources of interest.

**Fractal pictures & animations**

http://graffiti.u-bordeaux.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 X-Windows workstation,
students and teachers from all grade levels can engage in discovery-based 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 K-12 curriculum including scientific notation, coordinate systems
and graphing, number systems, convergence, divergence, and self-similarity.

**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 Fill-Out 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 well-developed, 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 K-12 telecommunications project developed in El Paso, Texas. It provides strong motivation
for students to use computer technology while increasing problem-solving strategies and communications skills.
MathMagic posts challenges in each of four categories (k-3, 4-6, 7-9 and 10-12) to trigger each registered
team to pair up with another team and engage in a problem-solving 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 problem-solving 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 M-files; MathWorks contributed M-files

**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.

**The Little Gallery of Roulettes**

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.