## Multiple Topics and Multiple Ages

Cyberchase. PBS.

A lively cartoonish site encourages children to engage in mathematics through games, activities, and videos.

Figure This! National Council of Teachers of Mathematics.

Families with middle school students are encouraged to use mathematics to solve several challenges.

Glencoe Online Manipulatives. McGraw Hill.

Select a grade from Kindergarten – 8, a workmat, and manipulatives to explore online.

Great Websites for Kids: Mathematics and Computers. ALSC.

Browse selected and well-reviewed mathematics websites for students.

Greg Tang’s World of Math. Scholastic.

Online mathematics games encourage problem solving and fluency.

Illuminations: Resources for Teaching Mathematics. National Council of Teachers of Mathematics.

Online activities for grades preschool – Grade 12 and lesson plans for teachers.

Interactivate. Shodor.

Java based courseware for math and science.

Kids Numbers and Math (free). For iPhone, iPad, and Android.

App includes counting and number comparison exercises, and for slightly older children it includes addition and subtraction and a memory game.

Math Bingo ($0.99). For iPad and iPhone.

The app tests addition, subtraction, multiplication and division skills, and features a scoring system that rewards faster answers in a bingo-like game.

Math in Daily Life. Annenberg Foundation.

Use mathematics with activities such as cooking, saving & credit, and home decorating.

Math Pickle.

Videos on mathematical topics for grades K-12.

Math Playground.

Interactive, online games, word problems, and videos for grades K – 8 for addition, multiplication, algebra, and logic.

MathCounts

Middle school math competition. Site includes problem of the day and a math arcade.

Maths Online

Several free interactive online games.

MathTools

From MathForum.org: A community library of technology tools, lessons, activities, and support materials for teaching and learning mathematics.

Mix-In Math. TERC.

Resources including mixing math with crafts and other activities for ages 5-12.

Museum of Mathematics.

Opening in 2012. Some activities can be downloaded.

National Library of Virtual Manipulatives. Utah State University.

Online, interactive manipulatives for Grades preschool – 12 under topics of Number & Operations; Geometry; Algebra; Data Analysis & Probability; Measurement.

National Science Digital Library: Math Common Core

Digital learning objects correlated with the math common core for teachers and students.

One to One Math

A wealth of printables for grades 2-6 from Kentucky Center for Mathematics. Patnership for Mathematics and Science Education Reform/University of Kentucky. Extensive list of mathematics tools.

Problems of the Week

From the MathForum: Problems of the Week (PoWs) are inventive, engaging challenges designed to get your students thinking, talking, and doing mathematics.

RocketMath ($.99) and RocketMath (free). Dowloadable from iTunes.

For iPad and iPhone. Review from the New York Times (10/13/2011, p.B7) states:

The app which is for children 4 to 12, is a math practice session disguised as a game. For the younger ones, it covers basic counting, addition and subtraction, and for older ones it covers multiplication, division, fractions, square roots and entry-level algebra principles.

Students can launch a rocket into space for math-based “missions,” like solving multiplication equations while the rocket is in orbit, and they may also perform more basic calculations and earn money to modify their rocket for the next mission.

Tasks are changed each time they appear, so if students fail to complete a task, they can’t simply choose a different answer to the same question and hope for a better result. And the scratchpad feature, where you can solve a problem before offering your answer, is nicely done.

Students can also sign in under different names, so more than one child can use it at a time.

The fee allows users to play the game to its full 56-level limit. No Android version is available yet.

Wolfram MathWorld

Extensive mathematical reference information and interactive activities for advanced mathematics students and professionals.

Visual.ly

Create free custom infographics.

Library of Congress Guide to the Literature: Statistics. Library of Congress.

Where to go to find all kinds of statistics.

Research Randomizer. Social Psychology Network.

Generates random numbers.

## Geometry - Elementary

Neuschwander, Cindy. Sir Cumference and The Great Knight of Angleland: A Math Adventure. Illus. by Wayne Geehan. Charlesbridge, 2001.

Neuschwander, Cindy. Sir Cumference and the Isle of Inmeter: A Math Adventure. Illus. by Wayne Geehan. Charlesbridge, 2006.

Neuschwander, Cindy. Sir Cumference and The Sword in the Cone: A Math Adventure. Illus. by Wayne Geehan. Charlesbridge, 2003.

Palais, Richard. Virtual Math Museum. Mathematics Department University of California at Irvine.

Art inspired by mathematics and mathematics given form in art.

Science of NFL Football: Pythagorean Theorem

Science of NFL Football: Spheres, Ellipses & Prolate Spheroids

## Geometry - Grades 9-12

Pi in the Sky. NASA

From NASA: This is the third in a series of three booklets designed to teach students about basic mathematical and physical principles such as logarithms, geometry, and size and scale. Each book is loosely based on the NASA GLAST mission. The activities teach about radians and degree, angles, parallax, and the apparent sizes of objects. Students create and use devices to measure the apparent sizes of objects at various distances and use this information (along with the known physical size of the objects) to determine their distances, or to use the known distance to determine the physical sizes of the objects.

## Measurement and Data - Elementary

Elapsed Time Calculator. Spectrum Research.

Input start and end times and use the calculator to check your work.

Jenkins, Steve. Actual Size. Houghton Mifflin, 2004.

KidsZone: Learning with NCES. NCES.

Create online graphs, learn about statistics and polls.

Leedy, Loreen. Measuring Penny. Henry Holt, 1997.

Markle, Sandra. Discovering Graph Secrets: Experiments, Puzzles, and Games Exploring Graphs. Atheneum, 1997.

Math-kitecture.

Students apply measurement, ratio, and other mathematic skills by creating a floor plan of their classroom to scale.

Schwartz, David M. Millions to Measure. Illus. by Steven Kellogg. Harper Collins, 2003.

## Measurement and Data - Grades 9-12

Booklet 1, "Far Out Math!"

Students measure, scale, graph and problem solve, using examples derived from Fermi. They will compare quantities as orders of magnitude, become familiar with scientific notation, and develop a concrete understanding of exponents and logarithms.

## Vector and Matrix Quantities

Science of NFL Football: Vectors

From OER Commons: NBC's Lester Holt looks at the role vectors play every time an NFL quarterback throws a pass. With the help of former NFL quarterback Joey Harrington, NSF-funded scientist John Ziegert of Clemson University and NSF-funded mathematician Rhonda Hughes of Bryn Mawr College explain how to use vectors to calculate the speed and direction needed for a completed pass.

Vector Voyage!

From TeacherEngineering.org: From OER Commons: In this activity, students will use vector analysis to understand the concept of dead reckoning. Students will use vectors to plot their course based on a time and speed. They will then correct the positions with vectors representing winds and currents.

## Number and Operations In Base Ten - Elementary

Anno, Masaichiro and Mitsumasa. Anno's mysterious multiplying jar. illustrated by Mitsumasa Anno. Philomel, 1993.

Dodds, Dayle. The Great Divide. Illus. by Tracy Mitchell. Candlewick, 1999.

Michelson, Richard. Ten Times Better. Marshall Cavendish, 2000.

Schwartz, David M. How Much is a Million? Illustrations by Steven Kellogg. Lothrop, Lee & Shepard, 1985.

Tang, Greg. The Best of Times: Math Strategies that Multiply. Illus. by Harry Briggs. Scholastic Press, 2002.

## Number and Operations: Fractions - Elementary

Dobson, Christina. Pizza Counting. Charlesbridge, 2003.

Online Calculator.

Free online calculator.

## Operations and Algebraic Thinking - Elementary

Billy Bug and His Quest for Grub. Oswego City Schools.

Use the coordinate system to feed Billy the Bug.

Campbell, Sarah C. Growing Patterns: Fibonnaci Numbers in Nature. Photos by Sarah C. Campbell and Richard P. Campbell. Boyds Mills Press, 2010.

Gravett, Emily. The Rabbit Problem. Simon & Schuster, 2010.

Pallotta, Jerry. Ocean Counting: Odd Numbers. Illus. by Shennen Bersani. Charlesbridge, 2005.

Pallotta, Jerry. Underwater Counting: Even Numbers. Illus by David Biedrzycki. Charlesbridge, 2001.

Printable Number Lines. Helping with Math.

All kinds of number lines including integers, fractions, and measurement.

Sayre, April Pulley & Jeff. One is a Snail Ten is a Crab: A Counting by Feet Book. Illus. by Randy Cecil. Candlewick, 2003.

## Statistics and Probability - Elementary

Axelrod, Amy. Pigs at Odds: Fun with Math and Games. Simon & Schuster, 2000.

Brown, Anna Laura. 10 Tools for Creating Great Infographics (blog post). Sept. 22, 2011

Find and Understand Data. DataMarket.

Explore data, create datasets, and visualize data.

Infographics Archive. SeaMedia.

Think about creative ways to display statistics and data.

Kaggle. Kaggle Inc.

Engage in competitive statistics.

Lady Tasting Tea.

Classic problem of inferential statistics.

Leedy, Loreen. It’s Probably Penny. Henry Holt, 2007.

Smith, David. If the World Were a Village: A Book About the World’s People. Illustrations by Shelagh Armstrong. Kids Can Press, 2002.

## Statistics and Probability - Middle School

Restocking Shoes Restocking Shoes.

From TeachersDomain.org: In this video from Cyberchase, Bianca uses data on past shoe sales to help her decide what quantities of each size she should order in the next shipment.

Raising the Bar.

From TeachersDomain: Harry and Bianca's new boss at a concession stand uses bar graphs to keep records of their refreshment sales in this video from Cyberchase.

## Professional Reading

Abramovich, S.S., & Brouwer, P.P. (2007). How to show one-fourth? Uncovering hidden context through reciprocal learning. International Journal of Mathematical Education In Science & Technology, 38 (6), 779-795.

Broadbent, A. (2004). Understanding place-value. Australian Primary Mathematics Classroom, 9(4), 45-46.

Fun Math for Teachers. Curated by Karen Meyer.

See what’s new on this Scoop-It curation of mathematics fun for teachers.

Hannula, M. M., Rasanen, P., & Lehtinen, E. 2007. Development of Counting Skills: Role of Spontaneous Focusing on Numerosity and Subitizing-Based Enumeration. Mathematical thinking & Learning, 9 (1), 51-57. Doi:10.1207/s15327833mtl|0901_4

Putting Place Value in its Place. (2003). Mathematics Teaching, (184), 14.

Swan, P. (2010). Revisiting Mathematics manipulative Materials. Australian Primary Mathematics classroom, 15 (2), 13-19.

Thompson, I. (2003). 1-100 RULES OK?. Mathematics Teaching, (185), 14-15.

Thompson, I. (2007). Deconstruction Calculation Part 1: Addition. Mathematics Teaching, (202), 14-15.

Turner, Laura. Web 2.0 Tools for Math Educators.

VanDerHeyden, A.M., Broussard, C., Snyder, P., George, J., Lafleur, S., & Williams, C. (2011). Measurement of Kindergartners’ Understanding of Early Mathematical Concepts. School Psychology Review, 40 (2), 296-306.

Viadero, D. (2010). Teaching Fractions. Education Week, 30 (7), 5.

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