Internet Resources for Science and Mathematics
      Education, collected by Tom O'Haver. 
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      - Get Math Help
 https://www.chegg.com/homework-help/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
 Standards-aligned 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 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 Menu
 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.
         
- Easy Unit Converter
 https://www.easyunitconverter.com/
 An on-line 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 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
- 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
- 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.
         Applications
          and Misapplications of Cognitive Psychology to Mathematics
          Education.
- John R. Anderson, Lynne M. Reder,
          Herbert A. SimonWe 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.
         
-  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.
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