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*Online Manipulatives and Applets
Math Cats
www.mathcats.com
Applets for exploring numerous concepts. See "What a Crowd!" (estimation), Multiplication Grid, Math Cats Balance (with items ranging from electrons to galaxies), Old Egyptian Math Cats Fractions, Tessellation Town, much more.
Illuminations: Activities
http://illuminations.nctm.org/ActivitySearch.aspx
fractals tool, shape sorter, shape tool, shape pan balance (visualizing algebra), fraction pie, and many more tools and activities spanning all levels
NCTM's Electronic Examples (for implementing Principles and Standards)
http://www.nctm.org/eexamples/
links to applets with teaching ideas and discussion questions
Project Interactivate
www.shodor.org/interactivate
a huge collection of interactive tools and simulations with supplemental materials and links to standards
National Library of Virtual Manipulatives
http://nlvm.usu.edu/
Crickweb
www.crickweb.co.uk
British site with a great variety of games and explorations to develop concepts along with skills. See numeracy for grades 1 and 2, numeracy for grades 3 - 6, and Teacher Toolkit for whole class math demonstrations.
Math Tools at the Math Forum
http://mathforum.org/mathtools
links to interactive resources and related lesson plans and other support materials, organized by grade and topic
Nummolt
www.nummolt.org
OBBL and Math Toys
www.geocities.com/nummolt/obbl/index.html
creative applets for open-ended math explorations by Maurici Carbo Jordi, who has developed many of the best activities at Math Cats
F. Permadi's homepage (Java and Flash applets)
www.permadi.com/java/
interesting applets: Kaleidoscope Painter, moire patterns, fractal twister, more
www.permadi.com/flash/index.html
The recursive lines project is fascinating.
Soma Blocks applet
http://users.ids.net/~salberg/soma/Soma.html
*Sites for Creating with Math
Math Crafts at Math Cats
www.mathcats.com/crafts.html
Create a variety of math crafts offline: polyhedra, hexagrams, ambigrams, string art, tessellations, designs with rotational symmetry, and more.
Also see www.mathcats.com/sitemap.html#onlinemathart for activities to create math art online and www.mathcats.com/gallery.html for a math art gallery of geometric designs, each produced with a few words of Logo code.
Soda Play
www.sodaplay.com
Construct animated "creatures" out of polygons and springs and share them online. Interact with the creations in "manual" mode and turn gravity on and off. Don't miss the Sodazoo!
William's Home Page
www.cyffredin.co.uk/
fascinating math crafts to make offline
Java Kali at the Geometry Center
www.geom.uiuc.edu/java/Kali/program.html
More Than Math
www.morethanmath.org/activities.htm
interactive activities integrating math and visual arts, for grades 3 - 5
*Logic Puzzles
Cut the Knot: Curriculum
www.cut-the-knot.org/Curriculum/index.shtml#magic
interactive arithmetic logic puzzles, math magic, algebra, much more, for all levels
Math Sphere: Fun with Math
www.mathsphere.co.uk/fun/
magic squares, tangrams, puzzles, and more
Button Beach Challenge
www.amblesideprimary.com/ambleweb/mentalmaths/buttons.html
This puzzle combines logic and addition skills (elementary grades).
Java on the Brain
http://www.javaonthebrain.com
creative Java applets like rainbow notes, Mastermind
C. Malumphy homepage
http://home.earthlink.net/~cmalumphy/
There are several creative applets here - Apple Find game, Color Shapes game with projects that can be shared, African stones (mancala)
PuzzleUp Hall of Fame
www.puzzles.com/Projects/PuzzleUpHallOfFame.htm
links to puzzle applets
NullGee Connect Four
http://www.theproblemsite.com/games/nullgee.asp
Connect Four with zero gravity!
Maths Stuff
www.subtangent.com
lots of intriguing interactive investigations, logic games and puzzles, and more, developed by a British mathematics teacher
*Math Games with that "Extra Something"
Jefferson Lab Games Index
http://education.jlab.org/indexpages/elementgames.html
PBS Kids - Games
http://pbskids.org/cyberchase/games.html
interactive logic games involving functions, intersecting circles, measurement, visualizing 3D as 2D, shape matching, etc. Idea: In the cyber-pattern-player, program each drum with a different skip-counting pattern to explore the sounds of multiples.
http://pbskids.org/cyberchase/games/patterns/
*Sites Targeting Specific Concepts
Basic Math Skills:
Jefferson Lab Place Value Game
http://education.jlab.org/placevalue/index.html
The user can select the highest number, number of places, and number of discards (all elementary grades).
My Secret Number
http://www.theproblemsite.com/games/secretnumber.asp
great logic and number sense game
Number Lines
http://www.amblesideprimary.com/ambleweb/mentalmaths/numberlines.html
This school-created Flash applet generates number lines marked at intervals (with a decimal option). Hidden numbers help to develop skills in sequencing, skip-counting, and critical thinking.
Estimation
resources.oswego.org/games/Estimate/estimate.html
Estimate the value of a position marked on an unlabelled number line; choose number lines up to 10,000 or between 0 and 1.
Web Math: Instant Math Help
www.webmath.com
Enter specific numbers and get help with them. (For instance, enter 8/16 in the fractions area, and the page draws this fraction with a pie and uses these numbers to explain the meaning of the fraction.)
Sums 4 Fun - Arcade
www.interactivestuff.org/sums4fun/arcade.html
games for enhancing math skills and reasoning (including algebraic thinking) developed by a math teacher in Kuwait.
Operations
One to Ten: An Arithmetic Game
http://www.theproblemsite.com/games/onetoten.asp
use operations to connect 4 digits to form the numbers from 1 to 10
Multiplication Game
hoodamath.com/games/multiplicationgame.php
Make factor pairs to claim four squares in a row on a game board; use number skills and strategy to play against the computer.
Sum Sense - Multiplication
www.oswego.org/ocsd-web/games/SumSense/summulti.html
Make multiplication equations from four digit cards.
Ten Frame
illuminations.nctm.org/ActivityDetail.aspx?ID=75
Use this ten frame tool for counting, visualizing, finding differences to 10, and adding to 20. The applet lets groups of 5 be moved at one time and guides students through the steps of adding sums over 10.
Fractions, Decimals, and Percents
Fraction Sites
www.mathcats.com/links/fractionsites.html
links to open-ended explorations for developing fraction concepts; NCTM's applet represents fractions, decimals, and percents
Fractional Hi-Lo
http://www.theproblemsite.com/games/hilo.asp
good fractional number sense game
Pie Chart Percentage
http://www.interactivestuff.org/sums4fun/pietest.html
Estimate what percentage of each pie is filled.
Time
Class Clock
resources.oswego.org/games/ClassClock/clockres.html
a great tool to help teach telling time and changes in time
Word Problems
Thinking Blocks
www.thinkingblocks.com
interactive modeling of word problems, including two-step problems, with how-to videos and feedback
Beacon Learning Center - Student Web Lessons
www.beaconlearningcenter.com/WebLessons/
lively, clear, interactive, story-based web lessons with instant feedback on a range of math skills and concepts
Probability
Illuminations: Simulating Probability Situations Using Box Models
http://illuminations.nctm.org/ActivityDetail.aspx?ID=159
great investigation of probability, one item at a time or with 100 sets of 100 at one time
Geometry
Geometry Step by Step from the Land of the Incas
http://agutie.homestead.com
This site presents high school level geometry concepts so creatively and artistically that the animations appeal to all ages.
MathSite: an Interactive Source for Seeing, Hearing, Doing Mathematics
http://mathsite.math.berkeley.edu/main.html
amazing interactive Flash "rooms" for exploring geometric properties
Illuminations: Developing Geometry Concepts Using Computer Programming Environments
http://illuminations.nctm.org/imath/prek2/GeometryConcepts/student/index.html
Use buttons and sliders to program a turtle to travel to a pond using Logo commands.
Algebra and Algebraic Thinking
Math Playground - Algebra Activities
www.mathplayground.com
Amid a wide variety of interactive explorations on this site, be sure to try the algebra activities, such as Algebra Puzzle, Weigh the Wangdoodles, and the awesome customizable function machine! (See screenshots here.)
Algebra Balance Scales
http://nlvm.usu.edu/en/nav/frames_asid_201_g_4_t_2.html
Pan Balances at NCTM's Illuminations Site:
Pan Balance - Shapes (grades K - 5)
http://illuminations.nctm.org/tools/tool_detail.aspx?id=33
Pan Balance - Numbers (grades 6 - 8)
http://illuminations.nctm.org/tools/tool_detail.aspx?id=26
Pan Balance - Expressions (grades 3 - 12)
http://illuminations.nctm.org/tools/tool_detail.aspx?id=10
These great applets help to develop logic skills along with algebraic thinking. The shape pan balance is for all ages.
The Maths File Game Show
www.bbc.co.uk/schools/mathsfile/
Several of the games help reinforce algebra skills.
Sequences (Triangular Numbers)
resources.oswego.org/games/spookyseq/spookytrino.html
find the missing number in a sequence of triangular numbers
Sequences - from the Sums4Fun Arcade
www.interactivestuff.org/sums4fun/sequences.html
Continue a number pattern, jump to the 10th and 20th values, and express the function rule(s) in algebraic notation. This is one of the simple yet challenging activites from Sums 4 Fun, developed by a math teacher in Kuwait.
Prime Numbers
Sieve of Eratosthenes
http://britton.disted.camosun.bc.ca/jberatosthenes.htm
This informational page includes a link to a great applet.
Math and Physics
Math and Physics Applets
www.falstad.com/mathphysics.html
amazing Java applets of waves and other physics simulations
*Sites with Real-Life Connections
Real World Math
www.realworldmath.org
outstanding projects investigating real-life problems, utilizing Google Earth - in some instances combined with Google Sketch-Up - along
with lessons, activity sheets, and supporting research. The site's creator welcomes new suggestions for real-world investigations as he continues to expand the project library.
Plane Math
www.planemath.com
integrates math and science with interactive lessons and an online airplane design center
Mr. Pitonyak's Pyramid Puzzle
www.wcvt.com/~tiggr/
This webquest integrates reading (David Macaulay's Pyramid), online and offline resources, and several curriculum areas. It provides guidance on project management, a group project with specific roles, a press conference and a scale model.
Playing with Time
www.playingwithtime.org
amazing gallery of speeded-up and slowed-down time sequences
Music through the Curriculum
www.philtulga.com/resources.html
wonderful online and offline activities connecting music, math, and science
*Math Tools and Resources
A Maths Dictionary for Kids
www.amathsdictionaryforkids.com
an interactive math dictionary for elementary students, created in Flash by an Australian teacher
Interactive Math Dictionary
intermath.coe.uga.edu/dictnary/homepg.asp
geared for middle school students
Create a Graph
http://nces.ed.gov/nceskids/graphing/
Make bar, line, pie graphs online.
What Are Your Chances?
http://nces.ed.gov/nceskids/probability/dice_handler.asp
Set the number of times to roll a pair of dice and see a chart of results.
Ask Dr. Math
http://mathforum.org/dr.math/
Browse answers to already-asked questions or ask one of your own.
David Bagley homepage
http://www.tux.org/~bagleyd/
a Java abacus and other great Java programs
The Abacus
http://www.ee.ryerson.ca:8080/~elf/abacus/
an abacus website
Global Schoolhouse Resource Links
www.globalschoolnet.org/resources/index.html
links to atlases, converters for currency and measurement, and more
Internet 4 Classrooms
www.internet4classrooms.com
You won't find much open-ended exploration here, but the links are comprehensive and well-organized by each grade level (to grade 8), subject, and standard. Includes self-paced learning modules for teachers, and teacher-generated worksheets for students
Graph Paper
www.csun.edu/~vceed002/ref/measurement/data/graph_paper.html
graph paper and measurement tools in PDF files
*Sites with Data for Kids to Share and Use
Google Maps Distance Calculator
www.daftlogic.com/projects-google-maps-distance-calculator.htm
Zoom, drag, and click to pinpoint two locations, whether local or global, and the page displays the distance between them "as the crow flies." (There are a few ads on the page.)
The Data and Story Library (DASL)
http://lib.stat.cmu.edu/DASL/
This searchable collection of data files and summaries models a variety of real world applications of statistics.
Make Maps at NationalAtlas.gov
http://nationalatlas.gov/mapmaker
Select from a variety of features; zoom in.
Gridded Population of the World
http://sedac.ciesin.columbia.edu/gpw/global.jsp
Spreadsheet Resources and Real World Data on the Internet
http://www.lttechno.com/links/spreadsheets.html#Elementary School
lots of links to spreadsheet and data resources
Data Library at the Math Forum
http://mathforum.org/workshops/sum96/data.collections/datalibrary/index.html
*Software for Exploring with Math
MicroWorlds
www.microworlds.com
This multimedia version of the Logo programming language empowers students and teachers to create geometric designs, animations, simulations, and games. Exploring and applying math concepts and skills is a natural part of the process of developing projects. The MicroWorlds site includes an extensive project library and several demo versions. The MicroWorlds in Action website - http://mia.openworldlearning.org - offers theme-related demo projects, notes, and extension activities; FAQs with interactive demos; "Ask an Expert," and more.
Squeak
www.squeakland.org
A free multimedia authoring tool that empowers students and teachers to create their own animations, games, and other projects while exploring math in open-ended, meaningful ways.
See www.squeakland.org/school/drive_a_car/html/Drivecar12.html for a great illustrated narration of how a first "car" project might develop.
Scratch
scratch.mit.edu/
An easy-to-use, drag-and-drop, Logo-based multimedia programming environment.
ToonTalk
www.toontalk.com
Build and run computer programs with drag-and-drop icons while exploring math concepts.
Enriched Math (by LCSI, makers of MicroWorlds)
www.microworlds.com/solutions/enriched_math.html
A set of 15 modules for middle-school students, featuring games and questions that stimulate classroom conversations about math concepts and problem solving strategies. By LCSI, the makers of MicroWorlds.
Spreadsheet software (Appleworks, Microsoft Works, Excel)
Use repeating patterns or formulas to create an instant multiplication table; use formulas to create money converters or magic squares; combine a formula and a repeating pattern to illustrate exponential growth, such as in the "grains of rice" story; collect and graph data. See mathcats.com/spreadsheets for math-related spreadsheet activities.
Geometer's Sketchpad
http://www.keypress.com/sketchpad/
Dynamic software for creating and exploring geometric constructions. Middle and high school students can create projects; students of all ages can explore finished constructions.
GeoGebra
http:///www.geogebra.org
Free dynamic mathematics software joining geometry, algebra, arithmetic, and calculus.
DigiQuilt
http://home.cc.gatech.edu/kristin/36
A free downloadable math tool for creating math art while exploring fractions, developed in Squeak by a grad student at Georgia Tech.