## Some Of Our Favourite Sites

YouCubed: The new movement to revolutionize math teaching and learning. YouCubed is a nonprofit providing free and affordable K-12 mathematics resources and professional development for educators and parents.

### Interactive Sites

Interactive is a site created by the Shodor Education Foundation. Their online interactive simulations and models are designed to enable and encourage exploration and discovery through observation, conjecture, and modeling activities.

Maths Online Gallery. The Gallery consists of interactive multimedia learning units on various issues that shall facilitate understanding.

NCTM provides an interactive online environments: e-Examples.

### Create Your Own Simulations

Easy Java Simulations

Francisco Esquembre has created a free software tool called Easy Java Simulations (Ejs, for short). It is designed for science teachers and students who want to create their own simulations. When you go to the site you will see a number of example simulations and you can also download the program.

NetLogo

Uri Wilensky and his researchers at Connected Learning Lab have created a free software tool called Netlogo which can be downloaded free of charge. Netlogo is a very powerful simulation environment. It is designed for math and science teachers and students who want to create their own simulations. When you go to the site you will see a number of model simulations and you can also download the program. They have just released a 3D version of the program.

Squeak

Squeak is a “media authoring tool”– software that you can download to your computer and then use to create your own media or share and play with others. Squeak is open source software – which means it has been created and developed by a body of individuals in a communal effort to broaden its ability and explore new realms of computing and media development.

### Problems of the Week

NRICH is sponsored by the University of Cambridge. Its aim is

- to enrich mathematical experiences by giving students the opportunity to explore and engage with mathematical ideas.
- to offer challenging activities which provide students with opportunities to develop their mathematics.
- to foster a community where students can be involved and supported in their own learning and where effort and achievement is celebrated.

### Problems

Clay Mathematics Institute

Dedicated to increasing and disseminating mathematical knowledge. Support of individual research mathematicians, Projects to increase and disseminate mathematical knowledge, Programs to encourage talented young people to pursue a mathematical career, Awards which recognize extraordinary achievements in mathematics.

Math Solutions Online

Math solutions online, a division of Marilyn Burns Education Associates. “The help you need to improve mathematics instruction”

Millenium Prize Problems

In order to celebrate mathematics in the new millennium, The Clay Mathematics Institute of Cambridge, Massachusetts (CMI) has named seven “Millennium Prize Problems”.The Scientific Advisory Board of CMI selected these problems, focusing on important classic questions that have resisted solution over the years. The Board of Directors of CMI have designated a $7 million prize fund for the solution to these problems, with $1 million allocated to each.

### Professional Development

Lesson Research

The core of Japanese Professional Development

Lesson Study

Lesson study is a professional development process that Japanese teachers engage in to systematically examine their practice, with the goal of becoming more effective. This examination centers on teachers working collaboratively on a small number of “study lessons”.

TIMMS

Trends in International Mathematics and Science Study (TIMSS) and Third International Mathematics and Science Study-Repeat (TIMSS-R) are the result of the need in the American education community for reliable and timely data on the mathematics and science achievement of our students compared to that of students in other countries.

### General Sites

MAA Online Columns

The Mathematical Association of America has created this online resource of math education articles which highlight different math explorations such as “The Crazy Math of Airline Ticket Pricing” and “Solving an Ancient African Game”.

Math Forum

A collection of math resources for all grades.

Maths Online: Gallery

The Gallery consists of interactive multimedia learning units on various issues that shall facilitate understanding. Technically, most units are Java applets, some are graphical supplements or other programs (JavaScript). For practice and (self) control, visit the collection of interactive tests.

Mega Mathematics

Mathematics is a live science with new discoveries being made every day. The frontier of mathematics is an exciting place, where mathematicians experiment and play with creative and imaginative ideas. Many of these ideas are accessible to young children.

National Council of Teachers of Mathematics

The National Council of Teachers of Mathematics is dedicated to providing vision and leadership necessary to ensure a mathematics education of the highest quality for all students.

Natural Math

Helping you to understand how the most important math question is why.

Pacific Institute for the Mathematical Sciences

Promoting public awareness of the importance of mathematics in the world around us.

Pi in the Sky

A semi-annual periodical designated for high school students in Alberta and British Columbia, Canada, with the purpose of promoting mathematics, establishing direct contact with teachers and students, increasing the involvement of high school students in mathematical activities, and promoting careers in mathematical sciences.

Polyhedra and Numbers

Puzzles with polyhedra and numbers. In this site one can print copies of polyhedron puzzles (for non-commercial purposes only) and one can read several mathematical articles on the subject.

Puzzles.com

The world’s best resource for puzzling on the internet

SNAP

The SNAP Foundation is a group of persons who promote the use of nonroutine mathematical activities in the class room. The members of the SNAP foundation are educators from all levels and from a variety of occupations. The name is an acronym for our guidelines for an unconventional type of math fair.

- Student-centered,
- Non-competitive,
- All-inclusive, and
- Problem-based.

Zoltan Dienes Mathematical Games

In this work, Zoltan Paul Dienes enlivens the world of algebra and examines some of the mysteries of mathematical constructions in a new and exciting fashion. Step by step, equation by equation, diagram by diagram, he strips away all the unintelligible jargon and brings each task and problem to life.

### Reading List

Anno, Mitsumasa and Masaichhiro

Anno’s Mysterious Multiplying Jar

ISBN 0-399-20951-4

Anno, Mitsumasa and Tuyosi Mori

Anno’s Three Little Pigs

ISBN 0-370-30898-0

Banks, Robert B.

Towing Icebergs, Falling Dominoes, and Other Adventures in Applied Mathematics

ISBN 0-691-10285-6

Bolt, Brian and David Hobbs

101 Mathematical Projects

ISBN 0-521-34759-9

Bolt, Brian

Mathematical Activities – A Resource Book for Teachers

ISBN 0-521-28518-6

Bolt, Brian

Mathematical Cavalcade

ISBN 0-521-42617-0

Brown, Stephen I.

Reconstructing School Mathematics – Problems with Problems and the Real World

ISBN 0-8204-5103-7

Conway, John H.

On Numbers and Games – 2nd Edition

ISBN 1-56881-127-6

Gardner, Martin

The Colossal Book of Mathematics

ISBN 0-393-02023-1

Holding, John

The Investigations Book – A resource book for teachers of mathematics

ISBN 0-521-40944-6

Livio, Mario

The Golden ratio: The Story of Phi, the World’s Most Astonishing Number

Ma, Liping

Knowing and Teaching Elementary Mathematics – Teachers’ Understanding of Fundamental Mathematics in China and the United States

ISBN 0-8058-2909-1

NCTM

The Open-Ended Approach – A New Proposal for Teaching Mathematics

ISBN 0-87353-430-1

Olivastro, Dominic

Ancient Puzzles – Classic Brainteasers and Other Timeless Mathematical Games of the Last 10 Centuries

ISBN 0-553-37297-1

Shasha, Dennis

Codes, Puzzles, and Conspiracy – A New Mathematical Thriller from Dr. Ecco…

ISBN 0-7167-2314-X

Shasha, Dennis

The Puzzling Adventures of Doctor Ecco

ISBN 0-486-29615-6

Sheldrick Ross, Catherine

Shapes in Math, Science and Nature – Circles

ISBN 1-55074-064-4

Sheldrick Ross, Catherine

Shapes in Math, Science and Nature – Squares

ISBN 1-55074-273-6

Sheldrick Ross, Catherine

Shapes in Math, Science and Nature – Triangles

ISBN 1-55074-194-2

Stigler, James W. & James Hiebert

The Teaching Gap – Best Ideas from the World’s Teachers for Improving Education in the Classroom

ISBN 0-684-85274-8

Vaderlind, Paul, Richard Guy & Loren Larson

The Inquisitive Problem Solver – MAA Problem Books

ISBN 0-88385-806-1

Zebrowski, Ernest

A History of the Cirlce: Mathematical Reasoning and the Physical Universe