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“There is much here to excite admiration and perplexity.”—Lord Rayleigh

AMS Feature Column

“These web essays are designed for those who have already discovered the joys of mathematics as well as for those who may be uncomfortable with mathematics. Mathematics is a fast growing and evolving subject. The domain of ways that mathematics is being applied is growing by leaps and bounds. Examples include CT scans, audio CDs, face recognition systems, and cell phone technology. Our goal is to share our excitement about these developments with you.”

http://www.ams.org/samplings/feature-column/fcarc-featurecolumn

Chalkdust

“Chalkdust is a mathematics magazine. It’s not a journal, and it’s not a textbook. It’s a collection of articles, features and pictures that we think are interesting, fun, or thought-provoking.”

http://chalkdustmagazine.com

Convergence

“This MAA publication offers a wealth of resources to help you teach mathematics using its history.”

http://www.maa.org/press/periodicals/convergence

CutOutFoldUp

“… about the fun, interesting, and beautiful side of math. I chose projects that I thought were nifty. Some projects amazed me when I first saw them. Others struck me with their elegance and beauty. And some illustrate mathematical concepts in a cool way.”

http://www.cutoutfoldup.com

Earliest Known Uses of Some of the Words of Mathematics

“These pages attempt to show the first uses of various words used in mathematics.”

http://jeff560.tripod.com/mathword.html

Earliest Uses of Various Mathematical Symbols

“These pages show the names of the individuals who first used various common mathematical symbols,and the dates the symbols first appeared.”

http://jeff560.tripod.com/mathsym.html

Free Online Graph Paper / Grid Paper PDFs

Free downloads of every possible type of graph paper, grid paper, and dotted paper, all to the specifications you choose.

http://incompetech.com/graphpaper/

Hyperseeing

A free, electronic, full colour publication to highlight artworks that are related either implicitly or explicitly to mathematics. Published by the International Society of the Arts, Mathematics, and Architecture (ISAMA).

http://www.isama.org/hyperseeing/

Interactive Mathematics Miscellany and Puzzles

“This site is for teachers, parents and students who seek engaging mathematics. Many of the topics are accompanied by Java illustrations. There are more than 700 Java applets.”

http://www.cut-the-knot.org/index.shtml

iSquared Magazine

“Each magazine contains regular news items, a mathematical histories feature, puzzles, book reviews and the life of a great mathematician as well as special articles on cryptography, crowd dynamics, string theory, neuroscience, aerodynamics, mathematical finance, environmental modelling, operational research, public transportation, relativity, game theory and medical imaging, to name just a few of the topics.”

https://www.stem.org.uk/resources/collection/4088/isquared-magazine

Learn About O.R.

“For teachers to help youngsters who are good at maths to realise there's something really interesting and rewarding they can do with their skills — a career in Operational Research (O.R.). Packed with useful information about O.R. including lesson presentations and problems to help teach Decision Maths.”

http://www.learnaboutor.co.uk/

MAA Online

A Mathematical Association of America site with columns by Ivars Peterson, Keith Devlin, Ed Pegg Jr and others.

http://www.maa.org/

MacTutor History of Mathematics

A University of St Andrews site which includes biographies, history topics, a famous curves index, and mathematicians of the day.

http://www-history.mcs.st-and.ac.uk

Math in the Media

A monthly magazine from the American Mathematical Society, including a monthly survey of news and short summaries of articles about mathematics in the popular press.

http://www.ams.org/news/math-in-the-media/math-in-the-media

Mathematical Circles Topics

“Mathematical Circles are for students of high school age or younger who want to increase their abilities to reason about mathematical problems. Students who study in circles learn to do mathematical olympiad-style problems (essay or proofs, not quick answer).”

The site includes handouts that can be used by teachers.

http://www.geometer.org/mathcircles/

Mathematical Imagery

“Explore the world of mathematics and art, send an e-postcard …”

http://www.ams.org/mathimagery/

Mathematical Moments

“The Mathematical Moments program promotes appreciation and understanding of the role mathematics plays in science, nature, technology, and human culture. Download this series of pdf files to use as teaching resources and to promote awareness of mathematics to students, colleagues, and attendees at meetings and special events.”

http://www.ams.org/samplings/mathmoments/mathmoments

Mathematics Archives - Topics in Mathematics

“In these pages, you will find links to various WWW resources on Mathematics. They are organized by topics.”

http://archives.math.utk.edu/topics/index.html

Mathematics Awareness Month

“Mathematics Awareness Month is held each year in April. Its goal is to increase public understanding of and appreciation for mathematics.” The site includes theme essays and posters.

http://www.ams.org/samplings/msamhome/mam

Mathematics in Education and Industry

“Mathematics in Education and Industry was founded in the early 1960s and is an independent UK curriculum development body. MEI is committed to improving Mathematics Education and is involved in a range of activities to fulfil this aim.”

http://mei.org.uk/

MathPuzzle

“The puzzling weblog of recreational mathematics.”

http://www.mathpuzzle.com/

Maths Careers

“This site was produced by the Council for the Mathematical Sciences. The CMS is currently running a number of projects under the banner of "maths careers", aimed at enlightening students from 11 upwards about the opportunities available to students of maths and stats. These subjects improve students' employment prospects and open up many fascinating careers, but they suffer from an image problem and are seen as unpopular and difficult.”

http://www.mathscareers.org.uk/

Maths in the City

“These pages contain two walking tours of Oxford and London that explore some of the mathematical features in the cityscape.”

https://www.maths.ox.ac.uk/study-here/undergraduate-study/outreach/maths-city/

MathWorld

“The web's most extensive mathematics resource.”

http://mathworld.wolfram.com/

Plus magazine

"Plus is an internet magazine which aims to introduce readers to the beauty and the practical applications of mathematics. Plus provides articles and podcasts on any aspect of mathematics, covering topics as diverse as art, medicine, cosmology and sport, a news section, showing how recent news stories were often based on some underlying piece of maths that never made it to the newspapers, reviews of popular maths books, and puzzles for you to sharpen your wits. We have a regular interview with someone in a maths-related career, showing the wide range of uses maths gets put to in the real world. And all past content remains available online, which besides making for good browsing is, we hope, a useful resource for maths school students and teachers."

http://plus.maths.org/content/

Practical Uses of Math And Science

“Practical Uses of Math And Science – PUMAS (poo' · mas) – is a collection of one-page examples of how math and science topics taught in K-12 classes can be used in interesting settings, including everyday life. The examples are written primarily by scientists and engineers, and are available to teachers, students, and other interested parties via the PUMAS Web Site. Our goal is to capture, for the benefit of pre-college science education, the flavor of the vast experience that working scientists have with interesting and practical uses of math and science …”

https://pumas.gsfc.nasa.gov/

Science Lives

“The Simons Foundation proudly presents a series of extended interviews with some of the giants of 20th-century mathematics and science. This collection, organized in collaboration with Hugo Rossi of the University of Utah, provides an opportunity to watch these great men and women discuss their lives and their thinking about science and our world.”

https://www.simonsfoundation.org/category/multimedia/science-lives/

Teacher Resources on Line

“The purpose of these resources is to provide material which teachers of mathematics can use in their classrooms.”

http://www.cleavebooks.co.uk/trol/index.htm

The Griddle

“Delicious grid-based puzzles created by David Millar.”

https://thegriddle.net/

The Institute of Mathematics and its Applications

“The Institute is the professional and learned society for qualified and practising mathematicians. Its 5000+ members work in industry, commerce, the public sector and education. A vigorous and expanding programme of activities enables mathematicians to enhance their skills and extend their knowledge whilst keeping up-to-date with developments and applications.”

https://ima.org.uk/

The Math Forum

“The Math Forum is a leading center for mathematics and mathematics education on the Internet. Operating under Drexel's School of Education, our mission is to provide resources, materials, activities, person-to-person interactions, and educational products and services that enrich and support teaching and learning in an increasingly technological world.”

http://mathforum.org/

The Mathematical Tourist, by Ivars Peterson

“… an occasional series devoted to "cool stuff" that I encounter while browsing the world of mathematics and computer science. I'll peek at new developments in math and its applications, and I'll revisit old puzzles, famous problems, and historic events—anything mathematical that happens to catch my eye. I hope you'll find something of value in these brief, informal forays into the world of math.”

http://mathtourist.blogspot.co.uk

The Royal Institution Masterclasses

“Ri Mathematics and Engineering Masterclasses are hands-on and interactive extracurricular sessions led by top experts from academia and industry for keen and talented young people all around the UK.”

http://www.rigb.org/education/masterclasses

The STEM Directories

“The 2008/9 STEM Directories are a plentiful source of enrichment and enhancement activities for schools and colleges across the UK. (STEM: Science, Technology, Engineering and Mathematics.) Three separate, hard copy directories have been produced and launched in September 2008 to serve the needs of science, mathematics and design and technology teachers across the UK.”

https://stemdirectories.org.uk/

The Wolfram Demonstrations Project

“A free resource of interactive visualisations, from elementary education to the frontiers of research.”

http://demonstrations.wolfram.com/

United Kingdom Mathematics Trust

“The United Kingdom Mathematics Trust was founded in 1996 as a registered charity to advance the education of children and young people in mathematics. The UKMT organises national mathematics competitions and other mathematical enrichment activities for 11-18 year old UK school pupils. These range from popular "mass" Maths Challenges to team competitions, forums for teachers and the selection and training of the UK team for the International Mathematical Olympiad (IMO).”

https://www.ukmt.org.uk/

We Use Math

“The most common question students ask math teachers at every level is “When will I use math?” WeUseMath.org is a non-profit website that helps to answer this question. This website describes the importance of mathematics and many rewarding career opportunities available to students who study mathematics.”

http://weusemath.org/

Why Do Math

“The Society for Industrial and Applied Mathematics (SIAM) has developed Why Do Math to showcase exciting mathematical and computational science topics at a popular science/lower collegiate level. This website will present a variety of applications that illustrate the innovative ways that the mathematical sciences are being used in a wide range of disciplines.”

http://www.whydomath.org/

Your links

If there is a link to a mathematical site which you find useful and which is not listed here, please let us know.

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References

Arbelos posters sets include background notes and Teacher's Notes accompany every issue of ClubMaths™.

Some of the links given here feature as references in those notes.