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Malcolm Swan - Improving learning in mathematics challenges and strategies

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EEF - Improving Mathematics in KS2 and KS3

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EEF - Improving Mathematics in KS2 and KS3

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Improving Mathematics in Key Stages 2 and 3

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Eight recommendations to improve outcomes in maths for 7-14 year olds

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Interactive curriculum plans

Teaching resourcesTeaching resources

Curriculum plansCurriculum plans

AI ExperimentsAI Experiments

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Explore thousands of high-quality resources for lesson planning and curriculum design. All optional, adaptable and free.

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Making Every Maths Lesson Count - Emma McCrea

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Making Every Maths Lesson Count - Emma McCrea

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Basic principles to teaching Maths. A must read for all trainees!!

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Yes, but why? Teaching for understanding in mathematics (Corwin Ltd)

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Amazon.com: Yes, but why? Teaching for understanding in mathematics (Corwin Ltd): 9781526492500: Southall, Ed: Books

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How I Wish I'd taught Maths, Craig Barton

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How I Wish I'd taught Maths, Craig Barton

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Association of Teachers of Maths

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Member Benefits

ATM has almost 4,000 members globally dedicated to the teaching and promotion of mathematics - including in schools, colleges and universities; and institutions and businesses.
Discover more >

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Association of Teachers of Mathematics - ATM

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Join other maths teachers and find a range of materials to challenge your students. ATM seeks to support teachers to explore strategies that will enable learners to enjoy and discover mathematics.

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Mathematical Association

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Being a member of the MA means you will join a community that has a love of mathematics and education at its heart. Find out about the benefits of membership!

The Primary Mathematics Challenge 6 - 17 November 2023. Place your order, download past papers and view FAQs on the Challenges website.

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× This site uses cookies. By using the site you accept our cookie policy. Being a member of the MA means you will join a community that has a love of mathematics and education at its heart. Find out about the benefits of membership! The Primary Mathematics Challenge 6 - 17 November 2023.

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Pearson Edexcel AS and A level Mathematics (2017) | Pearson qualifications

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Edexcel AS and A level Mathematics and Further Mathematics (2017) information for students and teachers, including the specification, past papers, news and support.

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Reflect, Expect, Check, Explain, Craig Barton

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Reflect, Expect, Check, Explain, Craig Barton

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Started back in late fall and read through slowly, meticulously, trying each idea out with my students and seeing how it evolved. I've definitely learned a lot from Craig's podcast discussions over the year. This book gave a vehicle to actually aim at when developing my explicit instruction. Instead of teaching to the test, I was teaching to the mathematical thinking required for an Intelligent Practice sequence of problems. There are so many gems throughout this book that can be woven into expl ...more

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Started back in late fall and read through slowly, meticulously, trying each idea out with my students and seeing how it evolved. I've definitely learned a lot from Craig's podcast discussions over the year. This book gave a vehicle to actually aim at when developing my explicit instruction.

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A Compendium of Mathematical Methods, Jo Morgan

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A Compendium of Mathematical Methods, Jo Morgan

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A Compendium Of Mathematical Methods: A handbook for school teachers

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Joanne Morgan's fascinating and practical book presents a selection of mathematical methods for twenty topics in the secondary maths curriculum. Some of the methods featured are used widely in schools around the world, others are only used in a small number of countries.

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Login details will be provided to trainees

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Resourceaholic - free resources and ideas for teaching secondary school maths

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Ask AED for login details

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Go Teach Maths: Handcrafted Resources for Maths Teachers

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Homepage - Go Teach Maths: Handcrafted Resources for Maths Teachers

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Ready-to-use mathematics resources for Key Stage 3, Key Stage 4 and GCSE maths classes.

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Top ten tips written by 2020-21 cohort of trainees

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Unfortunately, my father Don Steward passed away from Covid-19 on 3rd May 2020.

Throughout his working life he was passionate about improving the teaching of mathematics and has requested that all of his work remains freely available.

As per his wishes, I have uploaded all of his work to this Blog in the pages section which contains links to google drive where slides and presentations can be downloaded for free.

Don has also requested that those who use his work make a discretionary donation to charities supporting education in Africa.

We have set up a Justgiving fundraising page to support this wish below:
https://www.justgiving.com/fundraising/jessesteward

Many thanks for all of the kind messages we have received which are of great comfort to myself and the family.

Kind regards,

Jess

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ideas and resources for mathematics teachers of 10 to 16 year olds

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Increasing Competence and Confidence in Algebra and Multiplicative Structures

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Maths for Primary and Secondary

Resources for students and teachers

Access hundreds of quizzes and other interactive activities that will help you enjoy and improve your maths whether you are at school or at home. There are thousands of carefully designed questions to improve maths knowledge and help develop fluency in important maths skills. These activities, developed for ks1 up to GCSE, have been helping students to better their target grades for more than ten years.

You can access the activities for free, but if you sign up for an account activities will be grouped together by topic and your scores for the interactive games and quizzes will be saved so that you can keep track of your progress.

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Popular with both teachers and students, the questions in these free maths resources are carefully crafted and include the answers. They are designed to help students to take the first steps in each topic, then strengthen and extend their knowledge and skills. The resources include revision questions for KS2 SATs and GCSE.

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Hi, thanks for dropping by! We've been around now since 2012. Thanks to all of you that have used and recommended our resources - we really appreciate it!

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We are revising in year 10 and the topics of revision are Similarity including scaling units of area and volume, Trigonometry and Pythagoras and Indices. I decided that I wanted students to practice Trigonometry and Pythagoras whilst working on changing units of measure in area and volume problems.

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Instant maths ideas - books can be viewed free online.

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Research
My research interests in mathematics education focus on the learning and teaching of mathematics in ways that support students' conceptual understanding. I am particularly interested in the design and use of rich tasks in the mathematics classroom, and in finding ways to enable students to develop the necessary fluency in mathematical processes to support them in solving mathematical problems. I am also interested in confidence assessment as a tool for formative assessment.

My main research focus is currently as a Co-Director of the Centre for Early Mathematics Learning, funded by the Economic and Social Research Council (ESRC), which is part of UK Research and Innovation. This ESRC Centre will transform understanding of children's mathematics learning during the early years and design effective educational activities to improve skills and knowledge. Related to this, in my role as Director of the Loughborough University Mathematics Education Network, I am leading a design-research project to construct the LUMEN Curriculum, a completely free, research-informed, full set of mathematics curriculum resources for schools. This builds on a recent Economic and Social Research Council (ESRC) project Exploring socially-distributed professional knowledge for coherent curriculum design, carried out in collaboration with Professor Geoff Wake, Dr Fay Baldry and Professor Keiichi Nishimura.

I am continuing to build on my research in the , which is a study into the development of mathematical fluency, and also the Mathematical Etudes Project Confidence Assessment Project, which is exploring how asking students to indicate how sure they are about the answers they give in low-stakes mathematics tests can contribute to formative assessment.

I have twice spoken about my research as a guest on the and Mr Barton Maths Podcast: click here to listen.

I supervise PhD students across a variety of topics within mathematics education.
Current research students
Abbas, Suyi (PhD): The effect of confidence assessment on confidence and attitude to mathematics.

Britton-Drewry, Emily (PhD): Optimising the learning of multiplication and division facts in schoolchildren.

Casha Sammut, Melanie (PhD): Gifted and talented students in primary mathematics.

Gleadow, Tanya (PhD): Evaluation and development of a data science curriculum to increase motivation and ambition for further study and careers in computing and STEM.

Mahak, Sheeza (PhD): The role of anxiety, confidence and metacognitive skills in mathematical problem solving.

Makri, Depy (PhD): Content-based reflection as a structural part of online workbooks for learning mathematics.
Completed research students
Strauss, Jacob (2023). Developing secondary school students' procedural fluency with Cover, Copy and Compare. Unpublished PhD dissertation. Loughborough University.

Bustang, Bustang (2022). Probability conceptions and metacognitive judgements of Indonesian secondary school students and in-service mathematics teachers. Unpublished PhD dissertation. Loughborough University.

Guimarães, Rita Santos (2019). Investigating mathematics teachers' changes in practice during a professional development initiative. Unpublished PhD dissertation. University of Nottingham.

Barichello, Leo (2018). An investigation into how low-achieving secondary students learn fractions through visual representations. Unpublished PhD dissertation. University of Nottingham.

Calleja, James (2018). Learning to teach mathematics through inquiry: A case study of continuing professional development in Malta. Unpublished PhD dissertation. University of Nottingham.

McCance, Lorna (2014). How do students' solutions to a problem-solving task change after attempting to understand an algebra-focused sample solution? Unpublished MA dissertation. University of Nottingham.

Peake, Eleanor (2014). When and how do Year 2 pupils use the Bar Model to solve mathematical word problems? Unpublished MA dissertation. University of Nottingham.

Roberts, Katherine (2013). Which aspects of mathematical problem-solving lessons do pupils value and why? Unpublished MA dissertation. University of Nottingham.
Conferences and seminars
I have also regularly participated in the Institute of Mathematics Pedagogy .

Mathematics Education Blog

I posted at blog.foster77.co.uk every fortnight during my year as President of the Mathematical Association (2022-23).

These 26 posts continue to be available below:

Foster, C. (2022, April 14). Intro-ducing and outro-ducing methods [Blog post]. https://blog.foster77.co.uk/2022/04/intro-ducing-and-outro-ducing-methods.html

Foster, C. (2022, April 28). Tangible contexts for mathematics [Blog post]. https://blog.foster77.co.uk/2022/04/tangible-contexts-for-mathematics.html

Foster, C. (2022, May 12). Learning times tables efficiently [Blog post]. https://blog.foster77.co.uk/2022/05/learning-times-tables-efficiently.html

Foster, C. (2022, May 26). Are two cars better than one? [Blog post]. https://blog.foster77.co.uk/2022/05/are-two-cars-better-than-one.html

Foster, C. (2022, June 9). Motivation for measurement [Blog post]. https://blog.foster77.co.uk/2022/06/motivation-for-measurement.html

Foster, C. (2022, June 23). Lines of not-very-good fit [Blog post]. https://blog.foster77.co.uk/2022/06/lines-of-not-very-good-fit.html

Foster, C. (2022, July 7). A football on the roof [Blog post]. https://blog.foster77.co.uk/2022/07/a-football-on-roof.html

Foster, C. (2022, July 21). Making rounding interesting [Blog post]. https://blog.foster77.co.uk/2022/07/making-rounding-interesting.html

Foster, C. (2022, August 4). Misremembering Goldbach's conjecture [Blog post]. https://blog.foster77.co.uk/2022/08/misremembering-goldbachs-conjecture.html

Foster, C. (2022, August 18). The Differentiator [Blog post]. https://blog.foster77.co.uk/2022/08/the-differentiator.html

Foster, C. (2022, September 1). Interactive introductions [Blog post]. https://blog.foster77.co.uk/2022/09/interactive-introductions.html

Foster, C. (2022, September 15). Always simplify your answer [Blog post]. https://blog.foster77.co.uk/2022/09/always-simplify-your-answer.html

Foster, C. (2022, September 29). Tasks that can't fail [Blog post]. https://blog.foster77.co.uk/2022/09/tasks-that-cant-fail.html

Foster, C. (2022, October 13). How open should a question be? [Blog post]. https://blog.foster77.co.uk/2022/10/how-open-should-question-be.html

Foster, C. (2022, October 27). Butterfly effects when adapting tasks [Blog post]. https://blog.foster77.co.uk/2022/10/butterfly-effects-when-adapting-tasks.html

Foster, C. (2022, November 10). Is area more difficult than volume? [Blog post]. https://blog.foster77.co.uk/2022/11/is-area-more-difficult-than-volume.html

Foster, C. (2022, November 24). Fractions as factors [Blog post]. https://blog.foster77.co.uk/2022/10/fractions-as-factors.html

Foster, C. (2022, December 8). Dividing into thirds [Blog post]. https://blog.foster77.co.uk/2022/12/dividing-into-thirds.html

Foster, C. (2022, December 22). Mixing the dimensions in models of number [Blog post]. https://blog.foster77.co.uk/2022/12/mixing-dimensions-in-models-of-number.html

Foster, C. (2023, January 5). Proportionality [Blog post]. https://blog.foster77.co.uk/2023/01/proportionality.html

Foster, C. (2023, January 19). Is zero really a number? [Blog post]. https://blog.foster77.co.uk/2023/01/is-zero-really-number.html

Foster, C. (2023, February 2). Non-expository video clips [Blog post]. https://blog.foster77.co.uk/2023/02/non-expository-video-clips.html

Foster, C. (2023, February 16). Don't forget the units? [Blog post]. https://blog.foster77.co.uk/2023/02/dont-forget-units.html

Foster, C. (2023, March 2). Are probabilities and inequalities approximate? [Blog post]. https://blog.foster77.co.uk/2023/03/are-probabilities-and-inequalities.html

Foster, C. (2023, March 16). Crocodiles and inequality signs [Blog post]. https://blog.foster77.co.uk/2023/03/crocodiles-and-inequality-signs.html

Foster, C. (2023, March 30). Teaching specific tactics for problem solving [Blog post]. https://blog.foster77.co.uk/2023/03/teaching-specific-strategies-for.html

© Colin Foster 2023

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Research My research interests in mathematics education focus on the learning and teaching of mathematics in ways that support students' conceptual understanding. I am particularly interested in the design and use of rich tasks in the mathematics classroom, and in finding ways to enable students to develop the necessary fluency in mathematical processes to support them in solving mathematical problems. I am also interested in confidence assessment as a tool for formative assessment.

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Welcome to Corbettmaths! Home to 1000's of maths resources: Videos, Worksheets, 5-a-day, Revision Cards and much more.

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1. Set and monitor work, either with fixed questions of your choice, an exam past paper, or flexibly adapts to each individual student.

2. Advanced data analytics allow you to identify class misconceptions, see task performance by topic, see student working and provide formative feedback to students.

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DrFrostMaths provides an online learning platform, teaching resources, videos and a bank of exam questions, all for free.

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NASBTT - National Association of School-Based Teacher Trainers

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NASBTT - National Association of School-Based Teacher Trainers

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NASBTT is a registered charity which represents the interests of schools-led teacher training provision in relation to the development and implementation of national policy developments.

Our members include SCITT providers, School Direct Lead Schools, Teaching Schools and HEIs as well as a range of other organisations involved in the education and professional development of teachers.

We have more than 200 members representing in excess of 10,000 trainees.

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The National Association of School-Based Teacher Trainers

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NASBTT is a registered charity which represents the interests of schools-led teacher training provision in relation to the development and implementation of national policy developments. Our members include SCITT providers, School Direct Lead Schools, Teaching Schools and HEIs as well as a range of other organisations involved in the education and professional development of teachers.

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Manipulatives, shapes, worth looking at

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&nbsp&nbspClassic Mistake Podcasts and Posters

How on earth can posters of mistakes help with teaching maths? The full series of Classic Mistake posters have been on display in the Maths classrooms and corridors of my school since 1997. At the time, some staff had concerns about them "sending out the wrong message" by showcasing incorrect maths, but such worries have proven unfounded.

In fact, the whole concept appears to have been embraced by everyone and students often joke with one another about avoiding "the Classics". It's okay to make these mistakes once, but they shouldn't keep making them. Awarding them a "I made a Classic Mistake today" sticker also helps to reinforce in their minds each of these avoidable errors (see the 'Freebies' tab to download these stickers).

And how many posters do you currently have up in your classroom that actually require the reader to think about what they are looking at? Many a visitor to my classroom has either been intrigued to find out what was wrong with the poster they were looking at, or they have taken great pride in having spotted what was wrong with it.

On a more anecdotal level, there has been a school five-a-side football team who called themselves "Classic Mistake Number 5", some of our students leaving for University asked for their own copies of the posters, and in 2006 the Sixth Form Revue even contained a short movie sketch whose punchline included the phrase "Classic Mistake Number 1". Proof of the impact that they could also make in your school?

A mistake in Maths earns "Classic Mistake" status if it is regularly made year in, year out, by successive classes of pupils or students, in classrooms.
What are Classic Mistakes?

They even get to the point where teachers will often incorporate Classic Mistakes into their lessons as teaching points.
If the students know where the pitfalls are, then they have a better chance of avoiding them - well, that's the theory at least!

Where have they come from? Mainly from marking exam scripts, and observing which errors were most prevalent.

Some have been suggested by students.
Others have arisen from sheer teacher frustration!

What's the Gallery all about? In the Gallery you can see at a glance each of the Classic Mistake posters and download a single copy of either a colour or black and white poster.

Also you can listen to the mp3 audio file that accompanies it, or download it for listening to later.

What are the mp3 files? They are mainly the verbal explanations that might be given to students who can't spot what the mistake in each poster is.

They are presented here in the style similar to many podcasts that are already available on the Internet - bit of music, bit of chat and ending with a bit of music.
The 41 audio files that accompany the original 41 posters were created over a period of 8 months, from November 2006 to July 2007. That's an average of one every 6 days!
If you're a teacher, why not use the posters and audio files in your lessons - it's one way of changing the pace of revision lessons.

Wow, there's tonnes of stuff here! Yes there is.

There are currently over 170 posters on this website that you can download, print off and decorate your maths classroom, maths corridor or whole school with!
Encourage your students to visit the website, check out if they can spot the mistakes in each poster, listening to the mp3 commentary if they can't.

How did you create this website, and all the stuff on it? All the posters were created in Microsoft Publisher and converted to pdf format using Adobe Acrobat. via Sennheiser PC155 headphones with microphone. whilst links to the music artists' websites are on my Podcasts tab....

The .mp3 audio files were created using Audacity
The sound effects used in the podcasts were found here and here here
I've also recently been notified of a great new website for even more sound effects, at Sound Snap.
Various websites were trawled to find the javascripts required to make this website work the way it does.
The pop-up window that displays large images whilst also playing the mp3 came from
A Quicktime Player Plugin detector in javascript came from
A tutorial on how to use Cascading Style Sheets was found here
Helpful websites about creating podcast feeds were here here and here.

Who are you? My name is Nevil Hopley and I am currently Head of Maths at a large independent school in Edinburgh, Scotland.

I've been teaching Maths in classrooms since 1993, creating websites since 2003 and maths podcasting since 2006.

Who plays the background music?
There are various artists' work featured in these podcasts.
Listed below, in order of their featured Classic Mistake number, are the ones used

2.

"Answers" by Debz, a school band recorded in June 2006.

4.

"Face the Facts" by Bergin, a school band recorded in June 2006.

5.

"Answers" by Debz, a school band recorded in June 2006.

8.

"Answers" by Debz, a school band recorded in June 2006.

10.

"Face the Facts" by Bergin, a school band recorded in June 2006.

11.

"Answers" by Debz, a school band recorded in June 2006.

18.

"Face the Facts" by Bergin, a school band recorded in June 2006.

19.

"Answers" by Debz, a school band recorded in June 2006.

26.

"Face the Facts" by Bergin, a school band recorded in June 2006.

27.

"Answers" by Debz, a school band recorded in June 2006.

34.

"Face the Facts" by Bergin, a school band recorded in June 2006.

35.

"Answers" by Debz, a school band recorded in June 2006.

42.

"Face the Facts" by Bergin, a school band recorded in June 2006.

43.

"Answers" by Debz, a school band recorded in June 2006.

Here's what's been said about the Posters and Podcasts...

I have just stuck your 'Classic Mistake' posters up in our corridor. They have created fantastic interest amongst our students of all ages and abilities.
Thank you very much!
Ian Classey, Maths Teacher, Istanbul International Community School, Turkey.

In the first month of this website going live, there were over 1750 visitors and between them they downloaded over 12400 poster files - that's a mean of 7 files each!

Hi, I think your classic mistakes posters are great. Have just printed them to SMART Notebook so I can display them on the SMARTBoard to talk about them with Year 11 in revision time. [To download this Notebook file, or click here]
The website is fantastic - only just discovered it but there is loads that I will use - many thanks
Liz Wallace, Maths Teacher, Fallibroome High School, UK.

We have just started podcasting and have a few episodes up now. I was just browsing around for other maths podcasts, found yours and think it's great!
We're going to do some plugging of other maths podcasts in our newsletter rather soon so we'll certainly give it a mention.
Marc West, editor of "Plus" - an online Maths magazine, UK.

I love the posters. What is going on with the decimal point though? You show 3.1 with the decimal point in midair looking like a multiplication operator. Is this a UK thing or a formatting issue? Ellen Hansen, by email.

My reply: In the UK we'd write 3x4x5 in shorthand exactly as "3.4.5" Hence a full stop does mean multiplication. The "midair" dot is a decimal point in the UK, not a multiplication sign. So things are the opposite way round from how it's done in the USA, for example.

I love the classic mistakes posters. I find that the students read them, identify with them, take comfort in the fact that they're not the 'only' one to have got it wrong.
They get students talking about maths - which is what a display is for - isn't it?
'suef11', from TES Mathematics Staffroom

I have several of these posters on display and have found they promote excellent discussion. Many students are keen to understand the mistake and make sure that they don't make the same ones.
I hope that an awareness of the classic mistakes means students will make them less.
'Casy', from TES Mathematics Staffroom

I'm an NQT just going into my third term in a Year 6 class and I just had to say thank you very much for all the work you have put into these and for making them free! Although I can not use everything on here there is certainly loads of it that I can, especially with SATs coming up. You have just saved me hours in thinking up a display!
Eleanor Prescott, NQT, Hampshire

I am compelled to write to say what a great idea this is! Can't wait to try these out with my GCSE classes this coming year.
Ruth Christopher, Maths Teacher, Cramlington Learning Village, UK.

Printing Troubleshooting When printing pdf files of posters to certain printers, some problems have been found to occur.

One remedy is to locate any "Advanced Printing" options and select "Print as Image" if you can.
Also, do not have your pdf viewing software reduce the image to fit printer margins - there is already sufficient blank space around the edges for this not to be a concern.

Classic Mistake Posters You can download the full collection of posters using the above links, or you can download individual posters from the Gallery. Both Colour and Black and White versions are available.
Download all Posters in Colour [4.6Mb]
Download all Posters in Black & White [6.2Mb]
Download the first 41 Posters as SMARTBoard Notebook [1.6Mb]

One way to use them is to print them off A4 size, enlarge photocopy to A3 coloured card, laminate and then display them on walls. If you can colour print to A3 coloured paper or card, then that is even better.
Have your students try and find the mistake in each poster - a great form of pre-exam revision!

Classic Mistake Stickers A Mistake's not worth making unless you gain recognition for it!
Download Stickers [1.8Mb]

Why not download this pdf file, acquire some sheets of labels for your printer (either 21 or 24 to a sheet) and have them available in class to give to students who make the mistakes. Some of the pages in the pdf file can generate 42 or 48 stickers per sheet of 21/24 stickers, by cutting the sheet along the lines shown.
You'll be surprised how much pleasure students get from receiving one of these stickers.
Be careful not to encourage them to make mistakes though....!

Classic Mistake Website Advertising Poster
Download Poster [209Kb]
Download this poster to adorn your classroom and corridor walls to direct students to log onto the website and hear the podcasts for themselves.
Suggestion: print off A4 size, chop and trim to get two posters from each A4 sheet, laminate and display.

Maths Facts Posters These 59 posters form a collection of facts that students of Mathematics just need to know.
Download Posters [2.5Mb]
Download Posters as SMARTBoard Notebook [1.1Mb]

Suggestion: print off A4 size, enlarge photocopy to A3 coloured card, laminate and display.
Why not change them around every week and see if students notice?!
Why not play the game of show 10 of them to a class, change one when they are looking away, and then see if they can name which one has been changed.

The REAL Maths Problems Posters These 23 posters form a collection of tongue-in-cheek posters, designed to be displayed at a jaunty angle. Each poster starts off in the same style as a typical question from a maths textbook or exam paper. However, instead of the traditional ending question, these offer an alternative issue to consider.
Download Posters [1.8Mb]

Suggestion: print off A4 size, photocopy to A4 coloured card, laminate and display.
Warning: not everyone understands these at first reading ... but that's often the best bit!

Random Dot Stereogram Posters These 5 posters are based upon the same principal as the "Magic Eye" posters that have been around for many years. The images were generated on a TI-92 graphic calculator.
Download Posters [230Kb]

Stare at them long enough and you'll claim to see anything!
Suggestion: print off A4 size, enlarge photocopy to A3 card, laminate and display. It's not known whether copying them to coloured card makes them any easier to see!

Pictures of Prime Numbers Posters A single colour poster that shows all the prime numbers up to about 8500 in an innovate way that reveals some hidden patterns in their regularity.
Download Poster [40Kb]

Suggestion: print off A3 size in colour, laminate and display.

Math Mistakes
"Real Mistakes from Real Students' Work". Find the mistakes in the Algebra, Trigonometry and Calculus examples on this website and read plain language explanations so you can avoid making these same mistakes.

Classic Mistakes in Real Life
Read about some really quite alarming mistakes that have taken place in the real world!

Movie Mistakes
View pictures and video footage of production and continuity mistakes that have been spotted in Films and TV Programs. There are even more to be found at You Tube as well.

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Classic Mistake Maths Podcasts and Posters

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nbsp&nbspClassic Mistake Podcasts and Posters How on earth can posters of mistakes help with teaching maths? The full series of Classic Mistake posters have been on display in the Maths classrooms and corridors of my school since 1997. At the time, some staff had concerns about them "sending out the wrong message" by showcasing incorrect maths, but such worries have proven unfounded.

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NonExamples.com - Something that is not an example of a rule or definition already shown, used for a clearer explanation.

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This website is my attempt to assemble a collection of high-quality, sequences of questions and examples using key principles from Variation Theory. By holding key features between questions and examples constant, together with the mathematical behaviour that I call Reflect, Expect, Check, Explain and the supporting role of the teacher, I believe we can help students better understand key mathematical ideas.

You can find out more about the site and the different types of sequences available by visiting the Introduction.

You can access all the sequences of questions and examples from the Topics menu above.

My 2020 book, Reflect, Expect, Check, Explain: Sequences and behaviour to enable mathematical thinking in the classroom, goes into detail about making the most of these activities in the classroom. You can order the book from Amazon, John Catt, or wherever you get your books.

My 2023 book, Tips for Teachers: 400+ ideas to improve your teaching, details my most recent thoughts on using these sequences effectively. You can order the book from Amazon, John Catt, or wherever you get your books.

I have an online course store which offers low-cost, high-quality CPD on-demand. Each course contains short videos, resources, research, activities and questions to reflect upon. The courses most suited to the sequencers on the Variation Theory website are:

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Sequences and behaviour to enable mathematical thinking in the classroom - by Craig Barton @mrbartonmaths

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SSDD stands for Same Surface, Different Depth. They are a special set of problems that may look the same at first glance, but require different mathematical ideas to solve them.

SSDD Problems have become one of my key strategies to use with my students to help them become better problem solvers.

You can search for different topics using the tags on the right-hand side (or below if using a mobile device), and you can find out more about SSDD Problems on this page.

My books

I have written two books about my use of these types of activities.

My 2020 book, Reflect, Expect, Check, Explain: Sequences and behaviour to enable mathematical thinking in the classroom, goes into detail about making the most of these activities in the classroom. You can order the book from Amazon, John Catt, or wherever you get your books.

My 2023 book, Tips for Teachers: 400+ ideas to improve your teaching, details my most recent thoughts on using SSDD Problems effectively. You can order the book from Amazon, John Catt, or wherever you get your books.

My online courses

I have an online course store which offers low-cost, high-quality CPD on-demand. Each course contains short videos, resources, research, activities and questions to reflect upon. The courses most suited to the questions on the SSDD Problems website are:

Supporting this website

I do not make any money from this website, so if you did want to support its future development - and hopefully learn more about the pedagogy underpinning these ideas - then I would be so grateful if you would consider:

Thanks so much for taking the time to read this - now go and enjoy the site!
Craig

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Same Surface, Different Deep Structure maths problems from Craig Barton @mrbartonmaths

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Wordwall - Create better lessons quicker

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Need a fresh teaching resource that fits your class and teaching style? Create a customized pack of interactive and printable activities in just one minute.

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Don't spend hours marking books

Diagnostic Questions is a world leading assessment tool that provides detailed insights into student understanding in a fraction of the time, simultaneously reducing your workload and improving student results and confidence.

25,000 Questions & Quizzes

Create your own or choose from the thousands created by teachers, awarding bodies and publishers.

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Actionable Insights

Use our powerful Data Analytics, Feedback and Planning tools to understand your students better than ever.

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We're in the business of helping teachers. We know how tight departmental budgets are, we know the pain of change and we know how frustrating it is when a product you've come to depend upon starts charging. Well, we're giving you, the teacher in the classroom, a promise that Diagnostic Questions will always remain free. It's a small gesture, but we hope it helps.

Supported Subjects

Expected in November 2016, the ultimate GCSE Computing companion, with Scheme of Work and 1000s of questions from OCR and teachers.

750 questions from the Royal Society of Chemistry plus 1000s of others from teachers across the UK covering, Biology, Chemistry and Physics.

We want to support the most popular subjects that you teach. Help us focus on subjects that will make a difference by voting for our next subject.

Resolving misconceptions improves performance

A continuous system of misconception identification provides teachers with the foresight they need to intervene effectively in students' learning.

"Good diagnostic questions encapsulate our best information about what students find difficult, and are an indispensable part of any teacher's repertoire."
Dr. Dylan Wiliam, Emeritus Professor of Educational Assessment @UCL

"...the single greatest step forward in AFL in the maths classroom for years. I think it would be hard to find any better AFL strategy out there."
William Emeny, greatmathsteachingideas.com

"...good questions help us know more about our students' learning and help us to address misconceptions. An outstanding new resource to help us do just that."
Colleen Young, colleenyoung.wordpress.com

"Discover key misconceptions before you teach, track progress, review students explanations and quickly give personalised feedback."
Mohammed Ladak, mathedup.co.uk

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Better results, more confidence, less time

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Teaching for Mastery [McCourt, Mark] on Amazon.com. *FREE* shipping on qualifying offers. Teaching for Mastery

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Teach Mathematics for Mastery, Dr Helen Drury

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Teach Mathematics for Mastery, Dr Helen Drury

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Buy How To Teach Mathematics For Mastery on Amazon.com ✓ FREE SHIPPING on qualified orders

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Don't spend hours marking books

Diagnostic Questions is a world leading assessment tool that provides detailed insights into student understanding in a fraction of the time, simultaneously reducing your workload and improving student results and confidence.

25,000 Questions & Quizzes

Create your own or choose from the thousands created by teachers, awarding bodies and publishers.

Learn more

Actionable Insights

Use our powerful Data Analytics, Feedback and Planning tools to understand your students better than ever.

Learn more

Free forever

We're in the business of helping teachers. We know how tight departmental budgets are, we know the pain of change and we know how frustrating it is when a product you've come to depend upon starts charging. Well, we're giving you, the teacher in the classroom, a promise that Diagnostic Questions will always remain free. It's a small gesture, but we hope it helps.

Supported Subjects

Expected in November 2016, the ultimate GCSE Computing companion, with Scheme of Work and 1000s of questions from OCR and teachers.

750 questions from the Royal Society of Chemistry plus 1000s of others from teachers across the UK covering, Biology, Chemistry and Physics.

We want to support the most popular subjects that you teach. Help us focus on subjects that will make a difference by voting for our next subject.

Resolving misconceptions improves performance

A continuous system of misconception identification provides teachers with the foresight they need to intervene effectively in students' learning.

"Good diagnostic questions encapsulate our best information about what students find difficult, and are an indispensable part of any teacher's repertoire."
Dr. Dylan Wiliam, Emeritus Professor of Educational Assessment @UCL

"...the single greatest step forward in AFL in the maths classroom for years. I think it would be hard to find any better AFL strategy out there."
William Emeny, greatmathsteachingideas.com

"...good questions help us know more about our students' learning and help us to address misconceptions. An outstanding new resource to help us do just that."
Colleen Young, colleenyoung.wordpress.com

"Discover key misconceptions before you teach, track progress, review students explanations and quickly give personalised feedback."
Mohammed Ladak, mathedup.co.uk

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Better results, more confidence, less time

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Ask SPT for login details

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SKILLS CHECKS - free samples

Weekly skills checks and record sheets for Key Stage 1 and Year 4 to Year 13.
6 Different 'levels' for Key Stage 4

Great value for money with a school subscription costing only £60 +VAT for 12 months.
Single user subscriptions for individuals also available for only £35 + VAT for 12 months

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SKILLS CHECKS - free samples Great value for money with a school subscription costing only £60 +VAT for 12 months. Single user subscriptions for individuals also available for only £35 + VAT for 12 months

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Desmos offers best-in-class calculators, digital math activities, and curriculum to help every student love math and love learning math.

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GeoGebra - the world's favorite, free math tools used by over 100 million students and teachers

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Free digital tools for class activities, graphing, geometry, collaborative whiteboard and more

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Use BBC Bitesize to help with your homework, revision and learning from KS1 to GCSE. Find free videos, step-by-step guides, activities and quizzes.

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Math explained in easy language, plus puzzles, games, worksheets and an illustrated dictionary. For K-12 kids, teachers and parents.

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Maths & Science resources | CPD courses | White Rose Education

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White Rose Education delivers maths and science resources, CPD, tools, advice and guidance for schools, teachers and parents.

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Maths Genie - Free Online GCSE and A Level Maths Revision

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Maths Genie is a free GCSE and A Level revision site. It has past papers, mark schemes and model answers to GCSE and A Level exam questions.

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Ofqual
Approved

Qualifications

© 2022 MathsMadeEasy. When you visit or interact with our sites, services or tools, we or our authorised service providers may use cookies for storing information to help provide you with a better, faster and safer experience and for marketing purposes.

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Qualifications © 2022 MathsMadeEasy. When you visit or interact with our sites, services or tools, we or our authorised service providers may use cookies for storing information to help provide you with a better, faster and safer experience and for marketing purposes.

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1. Set and monitor work, either with fixed questions of your choice, an exam past paper, or flexibly adapts to each individual student.

2. Advanced data analytics allow you to identify class misconceptions, see task performance by topic, see student working and provide formative feedback to students.

3. Create worksheets to export to Word.

4. A virtual whiteboard for classroom use allows you to connect with students and import questions.

5. Thousands of downloadable teaching resources, used in tens of millions of lessons worldwide.

Register

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DrFrostMaths provides an online learning platform, teaching resources, videos and a bank of exam questions, all for free.

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A-level practice papers, questions, starters and more

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👋🏼 I'm Mr Bicen, and I've been teaching maths for 11 years now. My channel features Edexcel A-Level Maths & Further Maths lessons recorded live 🎬, helping you to achieve that real teaching experience 🎓📝 A HUGE thank you to DrFrostMaths for the amazing lesson slides I have adapted.

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Got a TLMaths video request? Pop it in the SUGGESTION BOX

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I am a full time Mathematics teacher and the aim of this website is to give away mathematical resources, free of charge! It will give me absolute pleasure to know that I have contributed to the education of mathematics and to the development of mathematicians!

I will be mainly producing and collecting a huge number of resources to help students in their revision and passing their exams and assisting other teachers in teaching the subject. I will be writing exam style questions tailored to the new GCSE (9-1), new A level and new Further Maths specifications, which can be used by students for revision and teachers in the classroom. I aim to produce worked solutions for most of the questions on the website although that will take some time.

Some of the contents are not available yet but I will be adding contents and resources on an ongoing basis.

Latest Updates :
Dec 2020 - 4 Practice Papers, including both Pure & Applied, for Year 12 have been uploaded to 'Year 1 AS Pure' page under 'Extra Resources'. Those are perfect revision materials for the Year 12 students at the end of their Year 12 course and who are about to start the Year 13 curriculum. Those papers provide a smooth transition to Year 13 as they focus more on problem solving skills

July 2020 - 15 A level Pure Practice Papers & 17 Mechanics A level Papers have now been uploaded to 'A level Practice Papers' page. These papers are excellent revision resources for A level exam revision

If you can help support my running costs with a donation or wish to sponsor the site then please get in touch.

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I am a full time Mathematics teacher and the aim of this website is to give away mathematical resources, free of charge! It will give me absolute pleasure to know that I have contributed to the education of mathematics and to the development of mathematicians!

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We have a range of resources to support GCSE and A Level Maths students. These include worksheets, practice papers and textbooks. We are up-to-date with education reforms, so all of our content is suitable for the new GCSE and A Level specifications.

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Mathematics resources and support for teachers along with revision resources for students. Covers all of GCSE and A-Level maths.

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MadAsMaths.com :: Home

It is with great sadness that we announce the passing of creator/owner of the MadAsMaths website, Trifon Madas. This website will remain freely available for all its users, in his memory. However, please note that it will have a static format, there will be no further updates and the Contact form has been deactivated.

Free Resources for Students and Teachers of Mathematics.

In the 33 years of my involvement with mathematics I have produced, collected and accumulated a huge number of resources in many different forms.

I have used these resources with my teaching and lecturing, guiding several students into their mathematical careers.

Most of the material I have created is contained in this website and an overview is shown below.

Mathematical booklets, classified by topic, with a large number of questions and full solutions.

Practice papers with full solutions.

For the latest news click HERE .

The aim of this website is to give away mathematical resources, absolutely free!

It will give me immense pleasure to know that I have contributed to the education of yet more mathematicians, even if I did not personally meet them.

Enjoy !

[... and the homepage would not be complete without answering one of the most frequently asked questions ...

No, I do not post/help in TSR anymore because in my opinion it has little educational value, and is mostly run by talentless immature individuals ....]

SUBSCRIBE ON OUR BRAND NEW YOUTUBE CHANNEL!!!

Unfortunately I cannot put on the website past papers and solutions for examining boards or Universities due to copyright restrictions. I possess past papers for all A level boards and all modules, with some boards going back as far as the seventies. I will investigate ways into sharing these resources in the future.

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Revise GCSE/IGCSEs and A-levels! Past papers, exam questions by topic, revision notes, worksheets and solution banks.

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Inquiry Maths is a model of learning that encourages students to regulate their own activity while exploring a prompt (an equation, statement or diagram). Inquiries involve questioning, conjecturing, generalising and proving and, when required, listening to or giving an explanation. In Inquiry

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Welcome to Goal Free Problems, a place to find and share goal free problems for use with pupils in class and revision

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Discover Mathigon, the Mathematical Playground. Learning mathematics has never been so interactive and fun!

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Maths Venns is my collection of Venn Diagram activities covering many mathematical ideas. Students must think hard to find examples that meet different combinations of criteria in order to complete the diagram. Are some regions impossible to fill, or have students simply not found an example yet?

You can search for different topics using the Topics menus above, and you can find out more about Maths Venns on this page.

My 2020 book, Reflect, Expect, Check, Explain: Sequences and behaviour to enable mathematical thinking in the classroom, goes into detail about making the most of these activities in the classroom. You can order the book from Amazon, John Catt, or wherever you get your books.

My 2023 book, Tips for Teachers: 400+ ideas to improve your teaching, details my most recent thoughts on using these sequences effectively. You can order the book from Amazon, John Catt, or wherever you get your books.

I have an online course store which offers low-cost, high-quality CPD on-demand. Each course contains short videos, resources, research, activities and questions to reflect upon. The courses most suited to the activities on the Maths Venns website are:

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Rich Venn Diagram maths activities from Craig Barton @mrbartonmaths

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The Centre for Innovation in Mathematics Teaching (CIMT) was established in 1986. The centre is a focus for research and curriculum development in Mathematics teaching and learning, with the aim of unifying and enhancing mathematical progress in schools and colleges. This CIMT Web-site was started in May 1995, and moved to University of Plymouth servers at the end of July 2005.

To enter the site, click on one of the links below.

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Centre for Innovation in Mathematics Teaching

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The Centre for Innovation in Mathematics Teaching (CIMT) was established in 1986. The centre is a focus for research and curriculum development in Mathematics teaching and learning, with the aim of unifying and enhancing mathematical progress in schools and colleges.

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Rosenshine's Principles in Action [Sherrington, Tom, Caviglioli, Oliver] on Amazon.com. *FREE* shipping on qualifying offers. Rosenshine's Principles in Action

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Ask SPT for login details

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Question banks

Exampro is a question bank containing thousands of AQA GCSE and A-level Maths questions as well as over 2000 KS3 questions and a new bank for Level 3 (Core) Maths. New questions are added regularly.

Search

Filter questions quickly and easily, using the search tool.

Create

Drag and drop questions into your new document.

Share

Export to PDF, Word or the Cloud, or share via web-link.

Top tip

Combine filters to refine your search.

With Exampro, assessment is impactful and time well spent.

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Exampro is a question bank containing thousands of AQA GCSE and A-level Maths questions as well as over 2000 KS3 questions and a new bank for Level 3 (Core) Maths. New questions are added regularly. Filter questions quickly and easily, using the search tool. Drag and drop questions into your new document.

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Teaching Math With Examples [Pershan, Michael] on Amazon.com. *FREE* shipping on qualifying offers. Teaching Math With Examples

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Retrieval Practice: Resources and research for every classroom

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Retrieval Practice: Resources and research for every classroom [Jones, Kate] on Amazon.com. *FREE* shipping on qualifying offers. Retrieval Practice: Resources and research for every classroom

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Countdown timers are a fantastic tool in maintaining a good pace in a lesson and keeping students focused. You can read some ideas for how to use countdown timers in your classroom here!

Here are some awesome timers you can use in your lessons!

If you have access to a projector or interactive whiteboard, then you can use digital countdown timers on the screen so all students can see and hear them. (Click on the images to be taken to the links!):

This is great as it the timer is clearly visible on the screen. I also really like it because you can choose from a whole array of different sound track s to count down to, including: The A team, Indiana Jones, The Apprentice, Mozart etc. This allows you to personalize the music depending on the activity you are doing! You can even have Mission Impossible which is fantastic as a "tidy up" countdown timer!

A nice, calming and relaxing timer with a choice of soothing background music to select from. Ideal for when you need to calm your class for some quiet working time or just to take a few minutes out for some meditation. I love to use this in the background when my students are colouring in some positive quote colouring pages.

This one is quite fun! Another great timer for those longer periods of time as the snails have their own little race while students are working! There is a crowd cheering background noise which is great for group work activities, but probably not so much for silent work: good job you can mute computers!

This is a sand timer countdown! Better for a slightly less stressful countdown as the sand slowly trickles through the hourglass container!

This is just like a kitchen timer, simply spin the dial then click start: it makes a little 'ding-dong' when it reaches the end. It's also unique as it continues to count elapsed time until you reset it: that might be quite handy in some lesson situations where a penalty might ensue if they go over!

6) Countdown Timer PowerPoint:
Finally, while all these are fun, you are unfortunately limited by requiring access to the internet (and some of these websites will have intrusive ads too #agh) so I created an option for you that will resolve all these issues, plus give you the option to embed these directly into your own PowerPoints for your lessons! Read more about them below:

If you prefer to download from TpT, you can download these countdown timers here!

I hope these offered you some different examples of timers you can use in your lessons, and maybe even yourself if you need motivation to work (or stop working!?). What are some of your favourite timers to use in lessons?

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Awesome countdown timers for the classroom

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Countdown timers are a fantastic tool in maintaining a good pace in a lesson and keeping students focused. Here are some awesome countdown timers you can use in your classroom!

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Free online interactive resources for Mathematics teachers, pupils and parents.

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Brief summaries of many Mathematical Education books - to tempt your appetite, or give an overview

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UKMT - Competitions running at Junior, Intermediate and Senior level nationwide. Great resources for interesting multiple choice questions. Suitable for higher ability

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Come and join us and be part of a diverse community that cares about mathematics education.

View our current vacancies.

Advancing the education of young people in mathematics

For over 20 years we have been inspiring a love of problem solving through our competitions and enrichment activities.

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Come and join us and be part of a diverse community that cares about mathematics education. View our current vacancies. Advancing the education of young people in mathematics For over 20 years we have been inspiring a love of problem solving through our competitions and enrichment activities.

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Competitions for higher attaining students. Excellent multiple choice questions for all ages.

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Come and join us and be part of a diverse community that cares about mathematics education.

View our current vacancies.

Advancing the education of young people in mathematics

For over 20 years we have been inspiring a love of problem solving through our competitions and enrichment activities.

# data[].attributes.attachment_link.description
Come and join us and be part of a diverse community that cares about mathematics education. View our current vacancies. Advancing the education of young people in mathematics For over 20 years we have been inspiring a love of problem solving through our competitions and enrichment activities.

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search

Enriching mathematics for all learners

A free-to-use collection of mathematics activities, lessons and problems designed to nurture curious, resourceful and confident learners of mathematics. Produced by The University of Cambridge.

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The Nrich Maths Project Cambridge,England. Mathematics resources for children,parents and teachers to enrich learning. Problems,children's solutions,interactivities,games,articles.

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Teach Like a Champion: 49 Techniques that Put Students on the Path to College

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Teach Like a Champion: 49 Techniques that Put Students on the Path to College [Doug Lemov] on Amazon.com. *FREE* shipping on qualifying offers. Teach Like a Champion: 49 Techniques that Put Students on the Path to College

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Rosenshine's Principles in Action ,Tom Sherrington

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Rosenshine's Principles in Action ,Tom Sherrington

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Rosenshine's Principles in Action [Sherrington, Tom, Caviglioli, Oliver] on Amazon.com. *FREE* shipping on qualifying offers. Rosenshine's Principles in Action

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Mathematical Tasks, Chris McGrane and Mark McCourt

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Mathematical Tasks, Chris McGrane and Mark McCourt

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Mathematical Tasks: The Bridge Between Teaching and Learning

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Amazon.com: Mathematical Tasks: The Bridge Between Teaching and Learning: 9781913622060: McGrane, Chris, McCourt, Mark: Books

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Amazon.com: Visible Maths: 9781785833502: Peter Mattock: Books

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There are three things that every teacher must do: mark work, plan lessons and teach students well. This brand new book from Ross Morrison McGill, bestselling author of 100 Ideas for Secondary Teachers: Outstanding Lessons and Teacher Toolkit, is packed full of practical ideas that will help teachers refine the key elements of their profession. Mark. Plan. Teach. shows how each stage of the teaching process informs the next, building a cyclical framework that underpins everything that teachers do.

With teachers' workload at record levels and teacher recruitment and retention the number one issue in education, ideas that really work and will help teachers not only survive but thrive in the classroom are in demand. Every idea in Mark. Plan. Teach. can be implemented by all primary and secondary teachers at any stage of their career and will genuinely improve practice. The ideas have been tried and tested and are supported by evidence that explains why they work, including current educational research and psychological insights from Dr Tim O'Brien, leading psychologist and Visiting Fellow at UCL Institute of Education.

Mark. Plan. Teach. will enable all teachers to maximise the impact of their teaching and, in doing so, save time, reduce workload and take back control of the classroom.

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Mark. Plan. Teach.: Save time. Reduce workload. Impact learning.

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Amazon.com: Mark. Plan. Teach.: Save time. Reduce workload. Impact learning.: 9781472910875: McGill, Ross Morrison, Peacock, Alison: Books

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Task Design in Mathematics Education, Watson and Ohtani

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We are revising in year 10 and the topics of revision are Similarity including scaling units of area and volume, Trigonometry and Pythagoras and Indices. I decided that I wanted students to practice Trigonometry and Pythagoras whilst working on changing units of measure in area and volume problems.

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​ Beliefs Mixed attainment classrooms are a demonstration of social justice and enable children to learn without limits. Labelling children and setting them according to some notion of their...

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Maths Teaching Resources, teaching blog and maths games.

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Overview

Our resources are organised into topics or stations on a map or tubemap showing the connections between them.

Watch this video or use the preceding menu to find out more.

The map

The mathematics has been organised along a system of tube lines, which reflect big themes that run through mathematics. The tubemap offers a way to navigate to resources for teaching a particular area of mathematics; resources can be accessed by clicking on a station name. Some stations are still in development and this is indicated by a construction symbol.

You can access the map at any time by clicking the Map button in the main menu.

Stations

Each station features an overarching question that could be used to stimulate curiosity. There are a number of key questions that summarise the ideas that arise in the resources. You can filter resources by selecting a key question. You can also filter resources by tube line, if you wish to choose a resource with a particular emphasis.

The resources that are available at each station may come under three headings. Resources that introduce new ideas relating to the station are in the "Introducing" section. "Developing" resources may build on these ideas or earlier work. "Review questions" are mostly drawn from past examination questions and have been chosen as ones that are interesting in nature and require non-routine thinking.

Resources

To help you find the resources you are looking for, we have classified them according to twelve resource types.

Resources are divided into sections. In some cases this may be a warm-up followed by a larger task, and others may have a problem followed by a suggestion of how to tackle it. Almost all resources contain a solution or a "Things you might have noticed" section. This may help you to think about questions you might ask students, to see areas where students could get stuck, or offer further insight into how you might use the resource in your classroom. Further support is offered in the teacher notes.

Pervasive ideas

By clicking on a pervasive idea you will find a description of how the idea arises within the resources. If pervasive ideas are highlighted in a resource they appear in the sidebar (or bottom-bar on a small screen) and in the list of resources at the station (on a wide screen).
What are pervasive ideas?
Search

Use the Search button in the top menu bar to open the search dialog.

You can search for resources by title, keywords or text within the resource. Review questions can be searched by question Ref. You can also search for pervasive ideas and mathematical processes such as visualising.

You can also browse all our material with filtering options by clicking the Browse button in the main menu.

Saving resources

You can save a resource for later by adding it to your resource collection. To do this click the star next to the resource title. Note you must log in or register to use this facility. To access your resource collection, click the User button in the top menu bar then Your resource collection.

Within your resource collection, you can organise your resources by creating ordered subcollections. To add a resource to a subcollection, click the add to subcollection icon in your resource collection table. To select a subcollection, use the drop-down list above the table. You can also generate a PDF of resources from a subcollection, which could be used to generate your own exam from our review questions, for example.

Bundles and more

The More menu in the top right contains links to the Underground hub, our About and contact page and the Your mathematical classroom section of the site.

Our About page contains a video explaining our philosophy.

The Your mathematical classroom area of the site is accessible from the More menu and has been coloured purple to distinguish it from the rest of the site, as well as having its own menu once inside this area. It contains support for using our resources in the classroom as well as professional development opportunities. This includes the Bundles page, which contains small collections of resources that have a particular focus or goal, our Resources in action page, which provides detailed teacher support for a handful of resources, our blog, upcoming and recorded webinars, a courses page, and information about our Champions programme.

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A level maths teaching resources | Underground Mathematics

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Rich resources for teaching A level maths, enabling all students to explore the connections that underpin mathematics. The resources are free for all users.

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Pupils Tutor | A Teaching Resource Website For B.Ed / D.EL.Ed.| B.Ed Notes | B.Ed Lesson Plan

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Relationship between mathematics and other subjects:
1. Mathematics with Geography

Geography is nothing but a scientific and mathematical description of our earth in its universe.
There are numerous areas of geography which need the application of mathematics like:

Lunar and solar eclipses,

Maximum and minimum rainfall,

The magnitude and dimension of earth, its position, and situation in the universe,

Latitude and longitude,

Formation of days and nights etc.

The surveying instruments in geography have to be mathematically accurate, in order to exercise desirable control over them. Some of the key areas where geography and mathematics work hand in hand are:
2. Mathematics with Arts

"Mathematics and art are just two different languages that can be used to express the same ideas".

Mathematics provides background and a basis for aesthetic appreciation. The arts and mathematics embrace students understanding of associations between rhythm, space, and time & line through the experience of these abstract concepts in countless mathematical ideas & art forms. Appreciation of balance, symmetry & rhythm postulates a mathematical mind.

Mathematics is in itself a piece of fine art. It is considered that the universe is written in the language of mathematics, and its characters are circles, triangles & other geometric figures.

The beauty of a piece of art depends on the manner in which it expresses truth. A mathematical mind can appreciate art with some sense of confidence.
Mathematics is knowledge of truth and realities.

The old 'Gothic Architecture' is based on geometry.

The 'golden ratio' is a mathematically related aesthetic consideration that is applied amongst numerous performing, visual multi-modal arts forms.

Even the Egyptian Pyramids, based on mathematics.

3. Mathematics with Civics and Citizenship

Mathematical structure and working play critical roles in so many key civics concepts, and are significant in various aspects of our society.

The ideas and concepts developed in the mathematics study are relevant to a variety of civic and citizenship understandings. Some parts of civics and citizenship which require mathematical understanding are:

Majority rule,

Absolute majority,

One vote one value representation,

Proportional voting systems etc.

4. Mathematics with History
The study of history involves the analysis and interpretation of a range of historical information which needs math's like:
The concepts & competencies developed in mathematics are valuable in the study of a range of historical information and sources. The thoughts and skills acquired in mathematics are beneficial in demonstrating historical understanding and assist in translating and analyzing historical data.

5. Mathematics with English
A mathematical structure is strongly related to
Mathematics, including the use of 'conjectures' and 'proof', has clear links to the development of structures and coherent argument in speaking and writing.

6. Mathematics with Linguistics
Linguistics study needs In the development of machine languages and comparing artificial and natural language, all need extraordinary mathematical ability.
Mathematics has had a great influence on research in literature. The notions of transformation and structure are as essential for linguistic as they are for mathematics.

7. Mathematics with Communication
A range of communication equipment is utilized for representing various relationships and in displaying results. For Example:
Mathematics working and structure play key roles in understanding human and natural creations.

8. Mathematics with Archaeology
Archaeologists utilize statistics and numerical methods, measures to
Archaeologists draw heavily upon various statistics & mathematical tools and techniques. From archaeological surveys, archaeologists collect and present the data, which shed light on past human behavior and attempt to differentiate patterns in their results.

9. Mathematics with Health and Physical Education
For Example:
Mathematics tools and procedures are used in solving problems and to model situations in the field of health and physical education.

10. Mathematics with Computers

The foundation of computer science is based only on mathematic. Every single mathematical process of use in applications has been quickly converted into computer package algorithms. There are computer packages for every mathematical concept such as

Solution of linear, non-linear equations,

Inversions of matrices,

Solution of partial and ordinary differential equations,

Symbolic differentiation and integration and the list never end.

Computer science has used every bit and piece of mathematics. From logic to relations & functions, to basic set and graph theory, to mathematical induction and discrete probability, to numerical analysis and Operation Research techniques, etc. etc. etc. there is no topic or sub-topic of math which computer science has not used or made a code.

Modern management techniques like Simulation, Monte Carlo program, Evaluation Research Technique, Critical Path Method, the study of Artificial Intelligence, Development of automata theory, etc. all require mathematics with computers.

11. Mathematics with Philosophy
Philosophy is defined as the science that investigates the ultimate reality of things, whereas, in mathematics, the philosophers find systematic and orderly accomplishments of unambiguous truths.
The real finisher of our education is Philosophy, but it is the office of mathematics to ward off the dangers of philosophy

Mathematics eliminates irrationality, sets the philosophers on the right path of acquiring true knowledge.
Therefore, there remains little doubt of the fact as to why mathematics occupies a central place between mental philosophy and natural philosophy.
Mathematical methodologies, approaches create realistic schools of thought in philosophy. It was this search of distinction between fiction and fact that led great thinkers like Plato and others underneath mathematics influence.
Mathematics and statistics are applied quite a lot in insurance and finance, areas such as
12. Mathematics with Insurance and Finance

Banking,

Making Insurance policy,

Producing economic forecasts,

Stock market trading etc. all require extensive mathematics use.

Any company or organization go onboard on a big project, they hire an actuary, and the job of an actuary is
13. Mathematics with Actuarial Science

Actuaries use statistics and mathematics to make financial sense of the future.
Mathematical methods and language are used constantly in explaining economic phenomena.
14. Mathematics with Economics

"The direct application of mathematical reasoning to the discovery of economic truths has recently rendered great services in the hand of master mathematicians." - Marshall

Economics and mathematics are interlinked by the frequent use of mathematical models in wide-ranging topics of economics. Some of the examples illustrating are:

We use statistical modeling and analysis in obtaining census data.

To find expenditure of public money, sampling populations to predict election outcomes, etc.

In modeling and forecasting economic indicators such as the consumer price index and business confidence mathematics are used.

A great deal of mathematical thinking, mathematical models, planning goes into the task of national economic planning.

15. Mathematics with Social Science

Mastery of the fundamental processes is necessary for clear thinking.

Social science has a mathematics stamp all over it. Almost all personal and social activities today require mathematical literacy and this prerequisite is continually increasing.
For example:
16. Mathematics with Agriculture
Science is incomplete without mathematics. The expertise and abilities students absorb within the diverse dimensions of mathematics, support all aspects of science. For Example:
Agriculture relies heavily on mathematics. Agriculture as science needs a direct application of mathematics.
The mathematics discipline supports science learners in developing critical knowledge and skills like:
17. Mathematics with Science

Number concepts and measurement are predominantly used in science, be it, data collection, and analysis, estimation of error, and modes of reporting data.

How to collect the records (data) and interpret them.

To look for patterns and display data correctly.

Teaches learner crucial number handling skills, drawing conclusions & making generalizations.

How to estimates and do further investigations, extrapolations, and interpolations from their own experimental records or from reliable data, etc.

Mathematical models, concepts have played and will continue to play, an important role in Biological Science. For instance:
18. Mathematics with Biological Science

Mathematics has made an enormous impact on Biological Science.

When we study deterministic and stochastic models for the growth of the population of micro-organisms and animals, subject to given laws of birth, death, immigration, and emigration we use differential equations, difference equations, differential-difference equations, and integral equations.

Mathematical models and applications are significant in

Computational and Mathematical methods complement experimental 'structural biology' by adding motion to molecular structure.

Two additional regions of mathematics when mathematics successfully interacts with biology are:

2-dimensional differential geometry.

3-dimensional topology.

19. Mathematics with Ecology

Mathematical concepts have played an important role in Ecology like the 'prey- predator' model of ecology which uses mathematics. Some more instances of this relation are:

The mathematical theory of the 'Spread of Epidemics' solves 'systems of differential equations' to determine the number of immunes, infected, and vulnerable peoples at any time.

For monitoring, controlling epidemics in animals & plants numerous mathematical and epidemic models of pest control are critically examined.

Dynamic programming and control theory are used in the control of epidemics subject to cost constraints.

20. Mathematics with Environmental study

Mathematics is used to study and find solutions to many environmental issues. Some of these areas are:

To study the problems of

Mathematics is chiefly used in 'Pollution Control Models'.

To find out what proportion of pollutants is emitted from refineries, industries, chimneys, factories, etc. mathematics is used.

To study how to limit and lower pollution be it water, noise, or air with maximum decrease and minimum cost possible.

To study the diffusion of pollutants in the atmosphere mathematics knowledge is obligatory.

To study the effect of leakages of poisonous gases.

To understand the conditions that result in

For example:
21. Mathematics with Chemistry
In advanced topics of chemistry such as quantum, statistical mechanics, etc., mathematical concepts form the core like:
Math is extremely important in physical chemistry.
Some other fields of chemistry which also use a significant amount of math are:

The basic step of production of any chemical is the mathematical ratio, which is needed to compute how many elements in which quantity have to be mixed.

To calculate the molecular weights of organic compounds mathematics is used.

The use of ratio and percentage are quintessential in the assessment and estimation of elements in organic compounds.

Probability theory forms a base of Statistical mechanics.

To develop models of any complicated processes even in pure scientific research in biology and chemistry mathematicians are required, especially those with higher degrees in computer science.

Quantum relies heavily on group theory and linear algebra and requires knowledge of mathematical topics such as Hilbert spaces and Hamiltonian operators.

Biochemistry has some important topics which rely heavily on math, such as binding theory and kinetics.

Most modern Nuclear magnetic resonance (NMR), spectroscopy and Infra-Red (IR) machines rely on the Fourier transform to obtain spectra.

Mathematical laws governed all chemical equations, their combinations.

Mathematical calculations regulate the development and formation of chemical compounds.

Pharmaceutical and cosmetics companies oblige to use teams of mathematicians to work on clinical data about the efficiency or dangers of new drugs and products.

22. Mathematics with Genetics

Genetic engineering incorporates substantial mathematical modeling. Mathematics is used in areas like:

Decoding genetic code and doing further research.

To Study the inheritance of genetic characteristics from generation to generation.

To find methods for genetically improving plant and animal species.

23. Mathematics with Physics

In Physics, every principle and rule takes the mathematical form ultimately.
Overall, we can say, Mathematics gives a final shape to the rules of physics.
Mathematical tools and techniques are of particular use to physicists and engineers. Mathematical calculations occur at every step in physics like:

Chare's law of expansion of gases is built upon mathematical calculations.

Application of mathematical concepts are frequently in use in

To obtain mathematical models for fluid and solid mechanics, a lot of physicists and mathematicians apply the basic laws of Newton.

To study the effect of pollutants from nuclear and other plants in seawater, particularly on fish population in the ocean physicists use mathematics.

To study atmospheric Sciences, dynamic meteorology, and weather prediction.

In the problem of underwater explosions, we use mathematics with physics.

Physics heavily focuses on mathematical concepts of complex variables, differential equations, vector spaces, integral transforms, matrix algebra, infinite series, integral equations, etc.

The flight of torpedoes in the water, sailing of ships & submarines, etc. are also some of the main important areas where mathematics and physics work hand in hand specifically from a defense point of view.

24. Mathematics with Engineering and Technology
Some processes of engineering where the application of mathematics is crucial are:
Mathematics is considered to be the foundation of engineering.

Mathematics has played a vital role in the progress of chemical, civil, mechanical, and aeronautical engineering. It is well known that a maximum of the technological processes in engineering and technology are described effectually by means of a mathematical framework.
Leibnitz, the great mathematician had said,

Mathematical sciences of plasma dynamics and magneto-hydrodynamics are used for experiments in controlled nuclear fusion, making flow meters & generate magneto-hydrodynamic.

In dealing with designing, construction, surveying, verifying results, etc. engineers depend prominently on mathematics concepts and ideas.

With the application of mathematics concepts like geometric principles during the design and constructions phase, the durability of the final product can be increased.

The defense sector is an important employer of mathematicians.

Music theorists frequently use mathematics to understand the musical structure and communicate new ways of hearing music.
25. Mathematics with Music

"Music is a hidden exercise in arithmetic of a mind unconscious of dealing with numbers".

All music notes require rhythm, but few know that rhythm is the result of untold uncountable permutations and combinations.

Fibonacci numbers and Golden ratio are incorporated into the works of many composers to understand musical scales.

Most modern-day music is produced and fabricated by using digital processors and synthesizers. To add effects to the sound or even to correct pitch today's music requires mathematics.

Using a mathematical technique called Fourier analysis audio software engineers to manipulate the digital sound.

"Where harmony is, there are numbers"- Pythagoras.

26. Mathematics and Logic

"Symbolic logic is mathematics, mathematics is symbolic logic"- C.J.Keyser

Mathematics assists the formulation and helps to develop logical laws. The methods and symbols used to survey the foundation of mathematics can be transferred to the study of logic.

D'Alembert says, "Geometry is a practical logic because, in it, rules of reasoning are applied in the most simple and sensible manner".

27. Mathematics with Drug Kinetics
Tags: Relation Of Mathematics With Other Subjects Notes What Is The Relationship Mathematics Of Other Subjects? - Computers, Geography, Arts, Agriculture, Civics And Citizenship, Drug Kinetics, Chemistry, History, English, Science, Linguistics, Communication, Ecology, Biological Sciences, Archaeology, Health And Physical Education, Engineering And Technology, Philosophy, Environmental Study, Physics, Logic, Genetics, Insurance And Finance, Engineering And Technology, Social Science, Chemistry, Music, Actuarial Science Notes For B.Ed In English Medium What Is The Relationship Mathematics Of Other Subjects? Notes And Study Material, PDF, PPT, Assignment For B.Ed 1st and 2nd Year, DELED, M.Ed, CTET, TET, Entrance Exam, All Teaching Exam Test Download Free For Pedagogy of Maths And Teaching of Mathematics Subject. Important Questions For Exam: Write short notes on the correlation of Maths with other school subjects. Correlate the Mathematics education with other subjects like arts, science, social science, and philosophy? Find examples for the relationship of mathematics with other subjects. Check Also:
Drug kinetics means the study of the spread of drugs in the various compartments of the human body. Some key areas where drug kinetics involves the concept of mathematics are:

Mathematical models are developed in the study of the comparative effects of various treatments used in many disease, especially used in cancer disease.

Biomechanics deals with the stress & strain in bones and muscles, and with injuries & fractures in skulls etc. Solution of partial differential equations are used in solid Biomechanics.

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