Dr Gilbey's teaching links

This page provides a collection of links to online resources, with some comments on many of them. These resources have been shown to me by a variety of people - thank you to you all! I have looked at many of them, but not all. While taking no responsibility for the content of these other sites, I offer this list in the hope that you find some of them as useful as I have. If you have any feedback, please email me at jdg@polya.uklinux.net!

The links

Other lists of mathematics education links

Before giving my own collection of links which I've been shown, or discovered, or whatever, here are some links to other lists of mathematics education sites and resources.

Mathsroom
http://www.mathsroom.co.uk/
Links to other mathematics sites sorted by age range.

Worksheets, textbooks, resources and the like

This list includes some people's favourite maths sites as discussed in a thread in the TES Online staffroom.

The Centre for Innovation in Mathematics Teaching (CIMT)
http://www.cimt.plymouth.ac.uk/
The Centre for Innovation in Mathematics Teaching, a project sponsored by the Gatsby Charitable Foundation, has a myriad of free online material, including the following.
The Mathematics Enhancement Programme (MEP)
http://www.cimt.plymouth.ac.uk/projects/mep/
This offers a complete series of resources for the entire KS1-KS4 mathematics curriculum, including textbooks, worksheets, activities and other resources.
Teacher Resources On-Line
http://www.projects.ex.ac.uk/trol/trol/
This area of the site has many useful things such as graph paper, isometric paper, 100-squares, tessellations and much, much more.
NRICH
http://www.nrich.maths.org/
Fabulous site full of non-standard problems to challenge students to think. Some of the problems have online applets associated with them, but most can be printed out. There are also bulletin boards for discussing maths problems available for students to use.
Becta's schools site
http://schools.becta.org.uk/
Taken over the now defunct National Grid for Learning. It will hopefully contain lots of useful resources contributed mostly by teachers. While you're there, do a search for "reindeer": hopefully, you'll be able to find a wonderful Santa's reindeer logic puzzle by Michael Sharman.
Mathcentre
http://www.mathcentre.ac.uk/
A site developed by the Higher Education sector covering A-level material with worksheets, topic guides and revision materials.
Mathsphere
http://www.mathsphere.co.uk/
In addition to software for sale, has some nice printable resources, including some games. While aimed at primary level, parts could easily be used at KS3 too.
Voting systems
http://www.barnsdle.demon.co.uk/vote/vote.html
Lots of links to articles on different voting systems.
BECTA ICT Advice
http://www.ictadvice.org.uk/
Lots of advice from BECTA on using ICT in the classroom. There is also a mathematics-specific section.

The TES Online Staffroom "Top Ten"

There was a thread on the TES Online Staffroom which asked what your top ten maths sites are. The thread itself is available at http://www.tes.co.uk/section/staffroom/thread.aspx?story_id=2075044, and here I gather a collection of those listed. (And yes, I know there are more than ten here!)

Emaths
http://www.emaths.co.uk/
MyMaths
http://www.mymaths.co.uk/
Subscription site with some good stuff in it.
Madras College Maths department website
http://www.madras.fife.sch.uk/maths/index.html
Includes a super games section.
S. Peter's Collegiate School Maths Department
http://www.speters.org.uk/maths/
CIMT
http://www.cimt.plymouth.ac.uk/
Mathsroom
http://www.mathsroom.co.uk/
Loads of links to other mathematics sites.
Skoool
http://www.skoool.co.uk/
HSN
http://www.hsn.uk.net/
http://www.pifactory.co.uk/
http://www.pifactory.co.uk/
http://www.subtangent.com/
http://www.subtangent.com/
Check out the Transformation Golf Excel spreadsheet in the resources section while you're there: it's great! I've produced a very slight modification of it, which you can get here (it allows you to restart a single hole before you've completed it). I might also add reflections in diagonals at some point soon.
Maths Guru
http://www.mathsguru.co.uk/
Count On Problem Bank
http://www.acumedia.co.uk/problembank/
Lots of great problems sorted by topic area.
1000 Problems
http://www.1000problems.org/
More great problems sorted by topic area.
New College Leicester Maths Department Resources
http://www.ncl.leicester.sch.uk/curriculum/maths/maths.htm
Waldo Maths
http://waldomaths.com/
University of Newcastle PGCE site
http://www.ecls.ncl.ac.uk/pgce/
Lots of useful links and stuff.
ActiveMaths IWB Resources (for sale)
http://www.active-maths.co.uk/
Starter of the day site
http://atschool.eduweb.co.uk/ufa10/starters/
Coolmath
http://www.coolmath.com/
Curious Math
http://www.curiousmath.com/
Collection of fun articles and posts on all sorts of mathematical curiosa.
Census at School
http://www.censusatschool.ntu.ac.uk/
An international census for school students, in which Britain is participating. More interesting than the artificial data from some exam boards.
The Office for National Statistics
http://www.statistics.gov.uk/
While we're at it, here is the UK's Office for National Statistics, which is another interesting source of meaningful data.
Fraction frenzy
http://www.learningplanet.com/sam/ff/index.asp
emilyisobel wrote on the TES website: "my favourite: fraction frenzy the most fun I've ever had with a class of middling ability y7s, the DH came in to see if we having a riot! BTW - they completed it once!"
National Cipher Challenge
http://www.cipher.maths.soton.ac.uk/
Bugsplat fractions
http://www.fekids.com/kln/games/bugsplat/
Maths Frameworking
http://www.mathsframeworking.com/
For years 7, 8, 9 according to the Framework.
Maths Lessons site
http://www.mathslessons.co.uk/resources/resources.htm
A site for sharing worksheets.
Combination locks
http://www.combinationlock.com/play.asp?r=3&d=0
A good starter activity for IWB or projector: solve the questions to work out the combination for a combination lock.
Free Java-based dynamic geometry/algebra software
http://www.geogebra.at/

Developed by Markus Hohenwarter at the University of Salzburg, Austria, this Java-based application is designed to have dynamic geometry capabilities similar to those of Cabri (although not yet as sophisticated), and also to have algebra (coordinates and equations of conics, for example) available simultaneously. It was the subject of an article in Mathematics Teaching 194 (January 2006).

Free Java-based dynamic geometry software
http://geonext.uni-bayreuth.de/

"It is is a dynamic geometry freeware program, a powerful tool for making geometric constructions developed by the maths department at the University of Bayreuth in Germany.

"You can download an English version but the help is in German!! You also need to download a Java Runtime file unless you have the latest version already."

Online activities and software

EChalk
http://www.echalk.co.uk/
Currently free resources for interactive whiteboards or projectors. There's a particularly useful timer available in the maths section. ("You have 10 minutes on this task.")
Trigonometry Java applets
http://www.ies.co.jp/math/java/trig/
Mostly intended for A-level work, these applets explore trig functions, including compound angle formulae and the like.
Online Japanese puzzles
http://www.puzzle.jp/en/
These include Su Doku and various other interesting types of logic puzzles. There are some sample problems, and then membership costs $3.99 per month.
Minesweeper on a torus
http://javaview.de/games/PaMinesweeper.html
The ever popular computer logic game, this time on a torus (doughnut)!
BBC Skillswise
http://www.bbc.co.uk/skillswise/
Online activities for supporting basic and functional numeracy.
Psychic mindreader
http://www.flashpsychic.com/
Think of a number, do some calculations - your answer will appear! Very cool activity - but how does it work? This site is the source of the software, and has many different variants of it (all of which work in the same way).

Downloadable software

Simon Singh's website: Codes and ciphers
http://www.simonsingh.net/

The populariser of science has commissioned a CD-ROM to accompany his bestselling book The Code Book, which includes a number of programs for exploring codes and cryptography, along with various video clips. The CD (full or light version) can be downloaded for free from the site or ordered for a nominal sum.

See also the CIMT resource above, which includes a section on codes and ciphers.

Countdown
http://www.train.stockton.gov.uk/pages/viewpage.asp?uniqid=4442
A free computerised version of the numbers game from the popular Channel 4 TV gameshow.
Su duko puzzles
http://www.sudoku.com/

This is the original source of Su Doku puzzles. The software for generating the puzzles and solving them can be downloaded: there's a 28-day free trial version and a fully licenced version available.

You might also like to look at those published in The Times; goto http://www.timesonline.co.uk/sudoku.

GCSE Revision sites

These sites were listed (included comments) in TES Teacher on 28 January 2005 by Peter Ransom.

"These maths revision websites are ones I suggest my pupils use. They all provide comprehensive coverage of number, algebra, shape, space and measures, and data-handling at intermediate and higher level. The BBC site also covers foundation level well."

BBC Bitesize
http://www.bbc.co.uk/schools/gcsebitesize.maths/
This site is the best by far. It is well laid out and easy to follow. Pupils can ask a question and generally get a reply within 24 hours. The site covers all the levels and allows the user to choose between revision and test pages. There is good interactivity, allowing the user to answer at crucial points.
Maths GCSE Guide
http://www.gcseguide.co.uk/mathsgcseguide.htm
This site might suit some intermediate and higher level pupils. No interactivity and too much text.
Digital Brain
http://www.digitalbrain.com/digitalbrain/web/subjects/2.%20secondary/ks4mat/?verb
Useful mainly for higher level pupils. Plenty of text but not much activity.
MathsNet
http://www.mathsnet.net/
The GCSE revision site is now accessible only by subscription (£15), but some sample pages for intermediate level are free and well worth using. This was a very good site when it was free last year.
Maths Revision Net
http://www.mathsrevision.net/gcse/index.php
This site covers only intermediate and higher level. Includes some higher level papers. This factual site also has a few examples to try.
Easymaths
http://www.easymaths.com/
A nice site which has plenty of questions to try and worked answers. Visit the Practice Room for plenty to do. Only deals with intermediate and higher levels.
Adamzone
http://www.adamzone.co.uk/
Mainly aimed at higher level, this site is pupil-friendly and has plenty of notes and examples.
S-Cool
http://www.s-cool.co.uk/topic_index.asp?subject_id=15
This site is well laid out with easy access. As well as notes there are questions to tackle. Answers are provided, but the methods of obtaining them are not.
GCSE.com
http://www.gcse.com/
Includes some material that could be used for foundation level pupils. Notes, questions and worked examples.
GCSE pseudo-past papers
http://www.gcsemathspastpapers.com/
This one wasn't in the TES, but has some pretend past papers on, if you're short of things to practice on.
Maths Angel
http://www.mathsangel.co.uk/
More mock papers, again not listed in the TES.

Other mathematical sites

A Maths Dictionary for Kids
http://www.amathsdictionaryforkids.com/
An interactive dictionary by Jenny Eather of mathematical vocabulary for use up to GCSE. Fabulous!
Warrington Grid for Learning: Mathematics resources
http://www.wgfl.org.uk/maths/
Links to lots of interesting mathematical resources, organised by Key Stage.
Oundle School's Mathematics Links site
http://www.tsm-resources.com/mlink.html
Mathworld
http://mathworld.wolfram.com/
An online encyclopaedia of mathematics. A lot of very useful material, although most is beyond school level.
British Society for the History of Mathematics
http://www.bshm.org/
For an historical approach to mathematics.
The History and Pedagogy of Mathematics Newsletter
http://www.mathedu-jp.org/hpm/index.htm
Mentioned in the Maths section of TES Teacher, 17 September 2004. Freely downloadable newsletters are available.
The MacTutor History of Mathematics archive
http://www-history.mcs.st-and.ac.uk/history/
Biographies of mathematicians through the ages. A very well researched site.
Stats for schools
http://www.stats4schools.gov.uk/
A site with interesting datasets for school use (KS3).
Royal Institution Mathematics Masterclasses
http://www.rigb.org/rimain/events/programmeformaths.jsp
These masterclasses, mostly running on Saturday mornings, are a wonderful way of enriching the experience of more able students. They have been running for a good number of years, and are very popular with their clientelle. They now run in centres around the country.
Visualising large numbers: Megapenny
http://www.kokogiak.com/megapenny/

And just exactly how big would a million pennies be?

There's also a bovine version called MegaMoo at http://www.kokogiak.com/megapenny/twenty.asp.

On Being the Right Size
http://irl.cs.ucla.edu/papers/right-size.html
What is the "right size" for an animal, human or organisation to be? This 1928 paper by JBS Haldane explores this question.
Personal Finance Education Group
http://www.pfeg.org/
Developing financial awareness through mathematics, and other resources. There is a free CD of resources available (or they can be downloaded) for KS3 lessons, and the project is sponsored by the DfES.

Resources for sale: Interesting software and other resources

Mathplot
http://www.mathplot.com.au/
It's an amazingly useful and multifaceted software system for mathematics classrooms and teachers. Covers KS3, KS4 and A-level. Go get it for your school - the cost is completely worth it.
The Mathematical Association (MA)
http://www.m-a.org.uk/
The MA produces many excellent resources. Well worth visiting their site and joining the organisation.
The Association of Teachers of Mathematics (ATM)
http://www.atm.org.uk/
This is a must-join: their resources are superb and totally classroom-focused.
PLUS
http://www.plus.maths.org/
Why study advanced maths? Articles, careers ideas etc. for sixth formers here.
MathSite resources
http://www.mathsite.co.uk/
A wide selection of mathematics resources available for purchase.
Tarquin Books
http://www.tarquin-books.demon.co.uk/
Some great stuff, including lots of books of cut-out polyhedra and models, and pattern-colouring books and so on.
Arbelos
http://www.arbelos.co.uk/
Mathematical posters and activities for maths clubs and classroom enrichment. Some really pretty stuff here!
The "Maths Is..." Jugglers
http://www.mathsisjugglers.com/
Wonderful classroom-tested textbooks by Barbara Young (author of Springboard 7).

Non-mathematical sites of teaching interest

Practice and Pedagogy
http://www.standards.dfes.gov.uk/keystage3/respub/sec_pptl0
The DfES series of publications "Practice and Pedagogy" can be downloaded here. It is very difficult to find this page through the DfES search engine: it tends to only locate the individual booklets.
CATIE: KS4 PSHE/Citizenship site on "feeling good"
http://www.catie.org.uk/feelgood/
This was mentioned in TES Teacher on 1 October 2004. The teacher's section has a lot of useful links to other websites.
ICT support websites
http://www.ictadvice.org.uk/
http://www.becta.org.uk/
http://www.standards.dfes.gov.uk/
http://www.northerngrid.org/ngflwebsite/ep.htm
http://www.kented.org.uk/ngfl/
This list appeared in TES Teacher on 1 October 2004.
Resources for Developing Communication Skills
http://www.bt.com/education/tes
These are free resources available from BT for developing communication skills.
Learning to learn
http://www.learntolearn.ac.uk
A website with some introductory information on learning to learn and assessment for learning, as well as some brief ideas on implementation.
Democracy games
http://www.demgames.org/
Online games for developing ideas of democracy at KS3. Complete with teacher notes and classroom resources.