Java Applets and Curriculum Standards
ACTM 2004, TETC 2004

Through mathematical modeling in a technology-rich, dynamic, and visual environment, participants will make connections between online mathematics activities and curriculum standards. Internet sites containing Java applets will be utilized to simulate events, such as tossing a coin, working with pattern blocks, etc.

The Product Game (parts 1 and 2) - NCTM Illuminations, grades 6-8 - http://illuminations.nctm.org/imath/6-8/ProductGame/product1.html

• NCTM Standard 1, Number and Operations.
• Goal: Instructional programs from prekindergarten through grade 12 should enable all students to -- Understand numbers, ways of representing numbers, relationships among numbers, and number systems.
• Expectation: In grades 3-5 all students should -- describe classes of numbers according to characteristics such as the nature of their factors.
• Expectation: In grades 6-8 all students should -- use factors, multiples, prime factorization, and relatively prime numbers to solve problems.

Algebra Tiles - National Library of Virtual Manipulatives for Interactive Mathematics, grades 6-8, 9-12 - http://matti.usu.edu/nlvm/nav/category_g_4_t_2.html

Perimeter Explorer - Project Interactivate, grades 3-5 - http://www.shodor.org/interactivate/activities/permarea/index.html or Area Explorer - http://www.shodor.org/interactivate/activities/perm/index.html

• NCTM Standard 3, Geometry.
• Goal: Instructional programs from prekindergarten through grade 12 should enable all students to -- Analyze characteristics and properties of two- and three-dimensional geometric shapes and develop mathematical arguments about geometric relationships.
• Expectation: In grades 3-5 all students should -- identify, compare, and analyze attributes of two- and three-dimensional shapes and develop vocabulary to describe the attributes.

Learning About Time - Arcytech, grades P-2 - http://arcytech.org/java/clock/

• NCTM Standard 4, Measurement.
• Goal: Instructional programs from prekindergarten through grade 12 should enable all students to -- Apply appropriate techniques, tools, and formulas to determine measurements.
• Expectation: In grades P-2 all students should -- use tools to measure.

Powers of 10 - Secret Worlds: The Universe Within - http://micro.magnet.fsu.edu/primer/java/scienceopticsu/powersof10/index.html

• NCTM Standard 4, Measurement.
• Goal: Instructional programs from prekindergarten through grade 12 should enable all students to -- Understand measurable attributes of objects and the units, systems, and processes of measurement.
• Expectation: In grades 3-5 all students should -- understand the need for measuring with standard units and become familiar with standard units in the customary and metric systems.
• Expectation: In grades 6-8 all students should -- understand both metric and customary systems of measurement.
• Expectation: In grades 9-12 all students should -- make decisions about units and scales that are appropriate for problem situations involving measurement.

Card Test - Cybergnostics, grades 6-8 - http://www.stat.sc.edu/~west/applets/cardtest.html

• NCTM Standard 5, Data Analysis and Probability.
• Goal: Instructional programs from prekindergarten through grade 12 should enable all students to -- Understand and apply basic concepts of probability.
• Expectation: In grades 6-8 all students should -- use proportionality and a basic understanding of probability to make and test conjectures about the results of experiments and simulations.

Adjustable Spinner - Project Interactivate, grades 3-5 - http://www.shodor.org/interactivate/activities/spinner/index.html

• NCTM Standard 5, Data Analysis and Probability.
• Goal: Instructional programs from prekindergarten through grade 12 should enable all students to -- Understand and apply basic concepts of probability.
• Expectation: In grades 3-5 all students should -- predict the probability of outcomes of simple experiments and test the predictions.

Triangle Angles - Jim Reed's Home Page, grades 9-12 - http://argyll.epsb.ca/jreed/math9/strand3/triangle_angle_sum.htm

• NCTM Standard 6, Problem Solving.
• Goal: Instructional programs from prekindergarten through grade 12 should enable all students to -- apply and adapt a variety of appropriate strategies to solve problems.

Fish Tank - The Maths File Game Show, BBC Education, grades 3-5 - http://www.bbc.co.uk/education/mathsfile/shockwave/games/fish.html

• NCTM Standard 7, Reasoning and Proof.
• Goal: Instructional programs from prekindergarten through grade 12 should enable all students to -- make and investigate mathematical conjectures.

Spirograph - Anu Garg, grades 3-5, 6-8, 9-12 - http://www.wordsmith.org/~anu/java/spirograph.html

• NCTM Standard 8, Communication.
• Goal: Instructional programs from prekindergarten through grade 12 should enable all students to -- communicate their mathematical thinking coherently and clearly to peers, teachers, and others.

Tower of Hanoi - Lawrence Hall of Science, grades 3-5, 6-8 - http://www.lhs.berkeley.edu/Java/Tower/towerhistory.html

• NCTM Standard 9, Connections.
• Goal: Instructional programs from prekindergarten through grade 12 should enable all students to -- recognize and apply mathematics in contexts outside of mathematics.

Multiplication Table Applet - Multiplication Table Applet, grades 3-5- http://www.netrover.com/~kingskid/MulTab/Applet.html

• NCTM Standard 10, Representation.
• Goal: Instructional programs from prekindergarten through grade 12 should enable all students to -- create and use representations to organize, record, and communicate mathematical ideas; -- use representations to model and interpret physical, social, and mathematical phenomena.

Reese's Pieces Samples - Rossman/Chance Applet Collection, grades 9-12 - http://statweb.calpoly.edu/chance/applets/Reeses/ReesesPieces.html

• NCTM Standard 10, Representation.
• Goal: Instructional programs from prekindergarten through grade 12 should enable all students to -- create and use representations to organize, record, and communicate mathematical ideas; -- use representations to model and interpret physical, social, and mathematical phenomena.

NCTM Principles and Standards for School Mathematics - http://standards.nctm.org/

Alabama State Department of Education - http://www.alsde.edu/html/home.asp

Tennessee Curriculum Standards for Content Areas with State Assessment - http://www.state.tn.us/education/ci/cicurassessedstandards.htm

HCDE Standards and Benchmarks - http://www.hcde.org/standards/stindex.html

Web Sites for Applets, Shockwave Activities, and Related Interactive Activities

A+ Math - http://www.aplusmath.com/

A+ Games - http://www.aplusmath.com/Games/index.html

A+ Flash Cards - http://www.aplusmath.com/Flashcards/index.html

Applets for the Interactive Textbook on Physics, Mathematics, and Chemistry - http://dept.physics.upenn.edu/courses/gladney/mathphys/java/java_collection.html

Applets, Sun Microsystems - http://java.sun.com/applets/

Calculators and Online Math Tools - http://www.useekufind.com/learningquest/tmcaltoo.htm

CleverMedia Pentominoes - http://clevermedia.com/game.cgi?pentominoes

Cybergnostics Applets - http://www.stat.sc.edu/~west/applets/cyberg.html

Demos with Positive Impact - http://mathdemos.gcsu.edu/

Educational Java Programs, Arcytech - http://arcytech.org/java/

Enchanted Mind - Puzzles - http://www.enchantedmind.com/html/puzzles/interactive_puzzles/creative_java_puzzles.html

Enchanted Mind - Tangrams - http://www.enchantedmind.com/puzzles/tangram/tangram.html

Enchanted Mind - Pentominos - http://www.enchantedmind.com/puzzles/pentamino/pentamino.html

Enchanted Mind - Master Mind - http://www.enchantedmind.com/puzzles/mastermind/mastermind.html

Fun and Games - http://www.fwend.com/

The Geometry Applet - http://aleph0.clarku.edu/~djoyce/java/Geometry/Geometry.html

Geometry Java Applet Gallery - http://www.saltire.com/gallery.html

Graph Explorer, Langara College, Vancouver, BC - http://www.langara.bc.ca/mathstats/resource/GraphExplorer/ or New Version - http://www.langara.bc.ca/~acooper/GeX/v2/Grapher.htm

Interactive Mathematics Miscellany and Puzzles, Games and Puzzles - http://www.cut-the-knot.org/games.shtml

Java 3D Engine - http://www.frontiernet.net/~imaging/java-3d-engine.html

Java Applets, Boston University - http://math.bu.edu/DYSYS/applets/

Java Applets, Statistics and Probability (links) - http://www.isds.duke.edu/sites/java.html

Java Demos for Probability and Statistics - http://www.math.csusb.edu/faculty/stanton/m262/

Java Sketchpad Gallery, Key Curriculum Press - http://www.keypress.com/sketchpad/java_gsp/gallery.html

Larry Green's Applet Page - http://www.ltcconline.net/greenl/java/

The Let's Make a Deal Applet - http://www.stat.sc.edu/~west/javahtml/LetsMakeaDeal.html

Robin Lock's Page - http://it.stlawu.edu/~rlock/

Manipula Math Applet Collections - http://www.ies.co.jp/math/products/

Manipula Math with Java - http://www.ies.co.jp/math/java/index.html

Martindale's Calculators On-line Center - http://www.martindalecenter.com/Calculators2A_1_Cou.html

Math and Physics Applets, Paul Falstad - http://www.falstad.com/mathphysics.html (lot of links)

Math Cove, Teaching and Learning Mathematics with Java, Dr. C. P. Mawata - http://www.utc.edu/~cpmawata/ - also see Uses of Java Applets in Mathematics Education - http://www.atcminc.com/mPublications/EP/EPATCM98/ATCMP016/paper.pdf

Mathematics, Science, and Technology Education, UIUC - http://www.mste.uiuc.edu/java/

The Maths File Game Show - http://www.bbc.co.uk/education/mathsfile/index.shtml

MathTools, The Math Forum - http://mathforum.org/mathtools/

Multiplication Table Applet - http://www.netrover.com/~kingskid/MulTab/Applet.html

National Library of Virtual Manipulatives for Interactive Mathematics - http://matti.usu.edu/nlvm/nav/vlibrary.html

NCTM Illuminations - http://illuminations.nctm.org/imath/index.html

Powers of 10, FSU - http://micro.magnet.fsu.edu/primer/java/scienceopticsu/powersof10/index.html

Probability and Statistics Links, UAH - http://www.mathspace.com/NSF_ProbStat/Probability_&_Stats_Links.htm

Probability by Surprise, Stanford - http://www-stat.stanford.edu/~susan/surprise/

Probability/Statistics Object Library, UAH - http://www.math.uah.edu/psol/objects/overview-summary.html

Project Interactivate - http://www.shodor.org/interactivate/index.html

Quia Mathematics - http://www.quia.com/dir/math/

Jim Reed's Home Page - http://argyll.epsb.ca/jreed/ - Lots of links - See links under Number, Patterns and Relations, Shape and Space, Statistics and Probability, Secondary Math Applets

Rice Virtual Lab in Statistics - http://www.ruf.rice.edu/~lane/rvls.html

Rossman/Chance Applet Collection for Data Analysis, Probability, and Sampling, Cal Poly - http://statweb.calpoly.edu/chance/applets/applets.html

Spirograph - http://www.wordsmith.org/~anu/java/spirograph.html

SpiroGraph - Dartmouth - http://www.math.dartmouth.edu/~dlittle/java/SpiroGraph/

Statistical Java, Virginia Tech - http://www.stat.vt.edu/~sundar/java/applets/

Statistics Applets - http://www.bbn-school.org/us/math/ap_stats/index.html

Tower of Hanoi, Lawrence Hall of Science - http://www.lhs.berkeley.edu/Java/Tower/towerhistory.html

Tower of Hanoi - http://chemeng.p.lodz.pl/zylla/games/hanoi5e.html

Tower of Hanoi, Article 19 Group Inc. - http://www.article19.com/shockwave/toh.htm

University of St. Thomas Physics Applets Page (and Math) - http://www.stthomas.edu/physics/Links/applets/

Virtual Laboratories in Probability and Statistics, UAH - http://www.math.uah.edu/stat/

WISE Statistics Applets - http://wise.cgu.edu/appletsf.asp

Logo Pinwheel Applet - http://oneweb.utc.edu/~deborah-mcallister/pinwheelapplet.html

NetLogo (files can be converted into Java applets) - http://ccl.northwestern.edu/netlogo

Pinwheel .gif from LoonyVerse Animated GIF File Menu - http://www.regalweb.co.uk/loony/animated/pinwheel.gif

What is a Java applet? - A short program written in Java that is attached to a world wide web page and executed by a web browser. - http://www.atlantawebhost.com/glossary-hl.php

What is Shockwave? - A technology that enables web pages to include multimedia objects such as audio, animation, and video; you use an authoring tool by Macromedia called "Director" to create a shockwave object and a program called "Afterburner" to compress the object. A plug-in available from Macromedia's web site is required to see a Shockwave object included on a web page. - http://www.oit.ohio-state.edu/glossary/gloss4.html