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Powerpoints with 'worked examples' and 'your turn'
Good way to use 'silent teacher'

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About variationtheory.com

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 online courses

I have created a series of seven online courses based around my model of a Learning Episode:

Each course consists of videos, links to research, resources, activities, podcasts, websites and more. They can be taken at a time and place of your choosing, and revisited as many times as you like.

The courses available are:

Focusing thinking

Atomisation

Making the most of worked examples

Intelligent Practice

The four ingredients of problem solving

The four ingredients of retrieval

Formative Assessment and Diagnostic Questions

In the Intelligent Practice course I discuss the use of the Practice sequence of questions from this website, showing exactly how I use them in the classroom.

In the Atomisation course I delve into Rule sequences of examples and non-examples and how they can be used to develop prerequisite knowledge, technical langue and decision making.

I hope these courses will help you get the most out of this site.

My book

My second book - Reflect, Expect, Check, Explain: Sequences and behaviour to enable mathematical thinking in the classroom - is now available to buy from Amazon, John Catt, and many other retailers.

The book is my attempt to build a framework for getting the most out of the sequences of questions and examples on this site - to enable them to work well for the majority of students, in the majority of classrooms, for the majority of mathematical ideas.

You will find detailed pedagogical notes for using Practice, Rule, Pattern and Demonstration sequences in the classroom, brand new sequences, along with an epic 45,000 word chapter that reflects on what I have learned in the last two years about the core ideas from How I wish I'd taught maths, including SSDD Problems, Low-Stakes Quizzes, and Silent Teacher.

I am super proud of the book. John Catt have done a brilliant job making it look beautiful:

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:

Taking one of my online courses

Buying Reflect, Expect, Check, Explain from Amazon, John Catt, and many other retailers (it's pretty thick, so if nothing else it should prove and effective door-stop)

Supporting my work at Patreon

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

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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.

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4 questions: same image that interweaves topics

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What are SSDD Problems?

SSDD stands for Same Surface, Different Depth.

They are a special set of problems that may look the same at first glance, but which 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 online courses

I have created a series of seven online courses based around my model of a Learning Episode:

Each course consists of videos, links to research, resources, activities, podcasts, websites and more. They can be taken at a time and place of your choosing, and revisited as many times as you like.

The courses available are:

Focusing thinking

Atomisation

Making the most of worked examples

Intelligent Practice

The four ingredients of problem solving

The four ingredients of retrieval

Formative Assessment and Diagnostic Questions

In the Four ingredients of problem solving course I discuss the use of SSDD Problems in the classroom. In particular, I share loads of ideas from the schools I have been lucky enough to visit in the UK and overseas who have taken the basic idea of SSDD Problems and made it work for them, including their use as Starters, for exam preparation and for developing high-value skills.

My books

How I wish I'd taught maths, which discusses the use of SSDD Problems alongside purposeful practice, cognitive load theory, variation theory and much more is available directly from my publisher, John Catt Educational Ltd, from Amazon, and from most good (and evil) bookshops.

In my second book, Reflect, Expect, Check, Explain, I delve into what I have learned about SSDD Problems (amongst lots of other things) in the two years since my first book came out. Reflect, Expect, Check, Explain is available from Amazon, John Catt, and many other retailers.

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:

Taking one of my online courses

Buying Reflect, Expect, Check, Explain from Amazon, John Catt, and many other retailers (it's pretty thick, so if nothing else it should prove and effective door-stop)

Supporting my work at Patreon

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

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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 which 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.

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Problem solving tasks for all topics using Venn Diagrams

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Rich Venn Diagram maths activities from Craig Barton @mrbartonmaths

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www.mathsbot.com
Video:
https://tommanners.co.uk/resourcefull/#&gid=10&pid=1

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Terms and Conditions | Privacy | Contact Us | Copyright © Mathsbox Limited

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Analysing gaps couldn't be easier. With the options in the top right hand corner of the screen, the system will carefully pull out the weakest areas from any mapped skills to the PiXL Maths app skills bank and also produce a summary graph as shown below:

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Ideas for Teaching
www.mrbartonmaths.com
https://donsteward.blogspot.com
www.tommanners.co.uk

Websites with lots of resources
www.piximaths.co.uk
www.resourceaholic.com
www.mathsbot.com
www.thechalkface.net
www.goteachmaths.co.uk
www.teachitmaths.co.uk
www.mathsgenie.co.uk
www.nonexamples.com
www.mathigon.org
www.cleavebooks.co.uk
www.thatquiz.org
www.missbsresources.com

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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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My growing list of free real world problem-based lessons for grades 2 through high school. Includes links to download multimedia and teacher guide.

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Area Maze puzzles

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I'm Sarah Carter, a high school math teacher who passionately believes math equals love. Through this blog, I'm on a mission to equip other teachers to create inviting and engaging classrooms where learning mathematics is fun.

I currently teach AP Calculus AB, Pre-Calculus, and Statistics at Coweta High School in Coweta, OK. Over my eleven-year teaching career, I have taught both math and science at the secondary level. If you want to know more about my career in education, check out my About Me page.

THANKSGIVING MATH ACTIVITIES

MOST POPULAR ACTIVITIES

MOST RECENT BLOG POSTS

If you're looking for a traditional blog reading experience, I recommend checking out my BLOG page. You can find it by following the previous link or by clicking on the Blog Tab at the top of the page. This page will list all of my blog posts (over 1300 of them!) in chronological order with the most recent blog post first.

This blog started as a way for me to make sense of my student teaching experiences in the middle school and high school math classroom. It's evolved over the past decade to become a way to share free resources for engaging and fun math activities with teachers around the world.

Looking for resources for a specific math teaching topic? I recommend navigating the blog using the tabs at the top of the page or by using the search box. You can easily find and read all of my posts about polynomials, puzzles, or posters this way.

FREE PRINTABLE MATH RESOURCES

PRINTABLE MATH PUZZLES

I am a passionate proponent of incorporating puzzles into the mathematics classroom. Over the past five years, I have compiled a collection of hundreds of free printable puzzles that have been used in math classrooms around the world with students ranging from elementary school to high school as well as adults! You can find out more about how to access these free puzzles on my puzzles page!

FREE PRINTABLE MATH POSTERS AND CLASSROOM DECORATIONS

My high school math classroom is my happy place, and I love decorating it to display my love of math to my students. I have created many math posters over the years that I am sharing here on my blog. I recommend checking out my entire math poster collection - ten years' worth of math posters!

FUN AND CREATIVE MATH PRACTICE ACTIVITIES

I love creating fun, interactive, and hands-on activities. Be sure to check out some of these activities while you are here!

GAMES

Looking to infuse some fun into your math classroom? Check out these free printable games! You and your students are sure to have a ton of fun!

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I'm Sarah Carter, a high school math teacher who passionately believes math equals love. Through this blog, I'm on a mission to equip other teachers to create

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www.resourceaholic.com
Video:
https://tommanners.co.uk/resourcefull/#&gid=11&pid=1

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Free maths pret homeworks for secondary school

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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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If you have created a great resource, why not share it with others? Our website gives you the chance to share your work and find helpful teacher-made resources to use in your teaching. Take a look at our full collection of community resources.

To contribute your resources, register now or sign in and visit 'My resources' on your dashboard.
Share your community resources

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If you have created a great resource, why not share it with others? Our website gives you the chance to share your work and find helpful teacher-made resources to use in your teaching. Take a look at our full collection of community resources.

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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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www.more-same-less.co.uk
Video:
https://tommanners.co.uk/resourcefull/#&gid=13&pid=1

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www.diagnosticquestions.com
Video:
https://tommanners.co.uk/resourcefull/#&gid=9&pid=1

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https://taylorda01.weebly.com/increasingly-difficult-questions.html
Video:
https://tommanners.co.uk/resourcefull/#&gid=8&pid=1

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http://goalfreeproblems.blogspot.com/
Video:
https://tommanners.co.uk/resourcefull/#&gid=7&pid=1

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www.openmiddle.com/
Video:
https://tommanners.co.uk/resourcefull/#&gid=12&pid=1

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Think Maths is a team of experienced mathematics speakers who visit schools to run workshops and give talks for a wide range of ages and abilities. Our sessions are interactive, engaging and cover mathematical content which will grab the attention of students and inspire them to get excited about maths.

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NUMERACY GAPS, SORTED

Are gaps in basic mental numeracy skills holding your students back from making exceptional progress in mathematics?

Numeracy Ninjas is a numeracy programme for schools which supports learners in developing high levels of fluency with important numeracy skills that are prerequisites for success in the study of 11 - 16 mathematics.

Aimed at learners aged 9 - 13, Numeracy Ninjas is a quick, low-stakes in-lesson activity which is completed multiple times each week. The programme is based on cognitive science research findings and motivates learners through gamification principles.

Let Numeracy Ninjas close the numeracy gaps holding your students back from excelling in mathematics.

Happy Customers

Don't Just Take Our Word For It

DOUBLE the rate of progress

In a 2016 controlled trial experiment at a large mainstream comprehensive school in the UK involving 430 students, those who participated in the Numeracy Ninjas programme for one academic year achieved on average, double the rate of progress over the students in the control group, as measured on a diagnostic numeracy assessment taken at the start and end of the year.

FREE TRIAL

Can I try before I buy?

Yes, absolutely! Try the Numeracy Ninjas programme with your learners for free for 5 weeks. Sign up for our free trial and we'll email you the Ninja Skill Book PDFs for weeks 1 to 5.

We use cookies on our website to give you the most relevant experience by remembering your preferences and repeat visits. By clicking "Accept All", you consent to the use of ALL the cookies. However, you may visit "Cookie Settings" to provide a controlled consent.

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This is Which One Doesn't Belong?, a website dedicated to providing thought-provoking puzzles for math teachers and students alike. There are no answers provided as there are many different, correct ways of choosing which one doesn't belong. Enjoy!

Which One Doesn't Belong?

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This is Which One Doesn't Belong?, a website dedicated to providing thought-provoking puzzles for math teachers and students alike. There are no answers provided as there are many different, correct ways of choosing which one doesn't belong. Enjoy!

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FREE mathematical activities, puzzles, problems, visual aids, investigations and lots more. Enter Transum Maths to see how teaching and learning this fascinating subject can be fun.

Cookies are used to personalise ads and to analyse internet traffic. They also used to share information about your use of the site with advertising and analytics partners. Please refer to the Privacy Policy for more information.

You can enter the site by clicking on the apple picture above assuming you accept the policy.

Transum.org [also at Transum.info and Transum.com] developed as an eclectic mix of free webware featuring online activities to help teachers and learners with Mathematics. You can read the latest Newsletter, find out more About Transum or see the other, non mathematical parts of the site.

Contact me at:

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FREE mathematical activities, puzzles, problems, visual aids, investigations and lots more. Enter Transum Maths to see how teaching and learning this fascinating subject can be fun. Cookies are used to personalise ads and to analyse internet traffic. They also used to share information about your use of the site with advertising and analytics partners.

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BBC Radio 4 - More or Less: Behind the Stats - Downloads

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Podcast downloads for More or Less: Behind the Stats

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Mr Barton Maths Podcast

Contents

The Mr Barton Maths Podcast: " changing useless time into CPD time" - @MrsG on Twitter

On the Mr Barton Maths Podcast I interview guests from the world of education who interest and inspire me. They may be fellow teachers, bloggers, thinkers, or people of influence. As well as discussing my guest's particular areas of interest, I always like to dig deep into their lesson planning process, and ask them to describe lessons that did not go so well and what they learned from the experience. Be warned, these interviews are intended to be long and in-depth, and are probably best digested across a few journeys to work or a few laps of the park with your dog.

It makes me so happy that many teachers are using these podcasts as CPD, either listening in the car, on long walks and bike rides, or doing the dishes. That was never the original intention, but it makes sense - I learn so much from each of my guests, so I shouldn't be surprised that others do too :-) I really hope you find my guests as interesting and inspiring as I do, thanks so much for listening, and please help spread the word!

To subscribe for free to the Mr Barton Maths podcast, so you never miss an episode, just follow these links:
iTunes
Android
RSS feed
or just click on an individual episode to listen right away.

Often my guests recommend books and research papers for teachers to read. You can find details of all of these here:
Recommended Books for Teachers to Read
Recommended Educational Research Papers for Teachers to Read

Do you have a product, service or event that you would like to promote?

Have you found that advertising at conferences, sending emails, buying adverts in publications, or producing flyers are either expensive or have relatively little impact?

Would you like to reach thousands of engaged, influential teachers to help spread your message in a relatively low-cost, innovative way?

If so, then you may wish to consider sponsoring an episode of the Mr Barton Maths Podcast. There are single and multi-episode options available.

You can listen to examples of sponsor slots at the start of the following episodes:

Please drop me an email at [email protected] to discuss further.
If you are new to the podcast and are looking for 4 episodes to get you started then, try these three beauties, all of which had a profound influence on how I think and teach.
Dylan Wiliam - Author, Researcher, Trainer and Assessment for Learning Expert
Dylan Wiliam is my hero. I know this is a big claim, but I think this interview is an absolute must-listen for teachers of all subjects, possibly all humans full-stop. We spoke about feedback, planning, questioning, research, lesson observations, what Dylan wishes he had known when he started teaching, and so much more. I genuinely have listened back to this interview more than 5 times, and I pick up something new on each listen. Thank you Dylan!

Peps Mccrea: Planning, Memorable Teaching and Teacher Expertise
Peps has done it all. He is a former Fasttrack maths teacher and Senior Lecturer in mathematics education. He has been a National Curriculum Advisor for the DfE, External Examiner at the OU, and is the author of Lean Lesson Planning and Memorable Teaching. He now leads on the Institute for Teaching's Masters in Expert Teaching course. We had a great time digging into three areas that really interest me: lean, effective lesson planning; making our teaching memorable; and helping teachers determine and develop expertise in their profession. Get your pen and paper ready for this one, there are nuggets left, right and centre.

Slice of Advice: What did you learn this year?
In an experimental episode, I asked 50+ of my favourite people one question: "what did you learn this year?". You will hear from the likes of Dylan William, Andrew Smith, Katharine Birbalsingh, Claire Sealy, Andrew Percival, Dan Meyer, and many others talking all things from feedback, work-life balance, signalling, metacognition, working abroad, and everything in between. A must listen for teachers of all subjects and age groups.
When I am lucky enough to attend a conference, I like to sit down with a fellow delegate at the end of the day and discuss the sessions we attended and our key takeaways. Hopefully these episodes are useful to those who could not make it on the day.

Conference Takeaways: MathsConf24 - Online - October 2020
Join me and Jo Morgan for a Conference Takeaways podcast from the second ever online MathsConf. We discuss a controversy about moving the decimal point, the importance of tasks, ratio tables, Increasingly difficult questions, technology, maths tricks, Times tables and much, much more.

Conference Takeaways: MathsConf23 - Online - June 2020
Join me and Jo Morgan for a Conference Takeaways podcast from the first ever online MathsConf. We discuss online CPD, Don Steward, magical maths, exact trig values, misconceptions with angles, teaching the what before the why, and much, much more.

Conference Takeaways: MathsConf22 - Manchester - March 2020
Join me and Dani Quinn for a Conference Takeaways podcast from MathsConf in Manchester, where we discuss percentages, algebraic thinking, surds, circle theorems, and I try to find out exactly how Dani and her team got those incredible GCSE results.

Conference Takeaways: MEI 2019
Join me and Jo Morgan for a controversial Conference Takeaways podcast from the wonderful MEI 2019 Maths Conference, where we discuss everything from calclator use, schemes of work, and a potential issue with manipulatives.

Conference Takeaways: ATM MA Conference 2019
Join Jo Morgan and I for 2 days at the ATM MA joint maths conference, for discussions about the evolution of maths vocabulary, problem solving, lesson observations, listening to learners, visual representations and much much more!
Day 1
Day 2

Conference Takeaways: Educating Northants 2019
Join Jo Morgan and I for a jam-packed discussion following the excellent Educating Northants Conference about mastery at primary, a knowledge curriculum, multiple mathematical methods, dual coding, variation starters... and a breathing exercise.

Conference Takeaways: researchEd Blackpool 2019
Simon Cox and I sat down to discuss our key takeaways from the excellent sessions we saw at researchEd Blackpool 2019. Hear reflections on workshops by the likes of Mark McCourt, Mark Lehain, Anne Watson, Oliver Caviglioli, Colin Foster, Simon Cox and Ben Gordon. It's a good one!

Conference Takeaways: Festival of Education 2018
I had the pleasure of attending and speaking at the Festival of Education. And if that wasn't enough, I also got to reflect on each day's session with Kris Boulton (@Kris_Boulton) from a sun-soaked Master's garden. So sit back, relax and listen to us discuss everything from curriculum, knowledge, reading, measuring progress, Ofsted, and even Love Island
Festival of Education Day 1
Festival of Education Day 2

Conference Takeaways: Comparative Judgement
In this special Conference Takeaways episode, myself and English teacher Jon Sellick reflect on what we learned from attending a workshop entitled R efining assessment and reducing workload, delivered by Daisy Christodoulou, which was all about the fascinating concept of Comparative Judgement. And just as you are getting sick of our voices, I am delighted to say that Daisy herself joins us to answer a few key questions, marking her return to the podcast following her very well-received 2017 appearance.

Conference Takeaways: BCME 2018
Jo Morgan (@mathsjem) and I spent four days at the BCME conference in April of 2018, and decided to record a podcast each night - it sounded a good idea at the time. Hear our thoughts on all things from variation, manipulatives, A Level teaching, tough GCSE questions, pub quizzes and Hannah Fry...
BCME Day 1
BCME Day 2
BCME Day 3
BCME Day 4
The podcast started out being just for maths teachers. But as the show developed, and my research widened, I realised I had so much to learn from teachers and researchers in other subjects. These episodes are hopefully of interest to everybody, no matter what subject or age of children you teach.

Peps McCrea: Motivated teaching
Peps McCrea returns to the podcast to talk about the secret ingredient in learning - motivation. Peps argues that it is motivation that dictates what students pay attention to, and it is what they pay attention to that determines what they are likely to remember. Peps describes the 5 core drivers of motivation, and provides practical suggestions for how teachers can tap into these in their classrooms. A must listen!

Mark Healy - Part 2: Sleep, growth mindset and teaching amid Covid-19
Mark is a psychology teacher and Deputy Head from Scotland who joins me for the second time to discuss the challenges of teaching amidst the Cobid-19 outbreak, the importance of sleep for both students and teachers, and he thoughts about Dwek's growth mindset. Hopefully this episode will keep you awake... in a good way.

Jemma Sherwood - Part 2: Preparing for September 2020 & being a Head of Department
Jemma returns to the show for a surprisingly maths-less episode as she discusses her and her department's plans for what will prove to be a challenging return to school in September 2020, as well as sharing advice for Heads of Department that is timeless.

Adele Bates: Behaviour and relationships
Adele has transitioned from an opera singer to a teachers, specialising working with students who have behavioral challenges both in mainstream schools and alternative provision centres. In this episode Adele shares her experiences, anecdotes and advice that will be useful to all teachers no matter how experienced you may be.

Mark Healy: Cognitive science versus cognitive psychology
Psychology teacher and Deputy Head, Mark Healy, joins me to discuss the distinction between cognitive science and cognitive psychology, their potential misuse in schools, and how schools can build a culture whereby staff willingly engage in meaningful CPD. Mark will also return soon to discuss sleep!

Paul Kirschner and Carl Hendrick: How learning happens
Paul Kirschner and Carl Hendrick join me to discuss their excellent book: How Learning Happens. But over the course of 2 hours we delve into so mich more, including the writing of and reaction to Paul seminal paper, Why Minimal Guidance During Instruction Does Not Work and what advice Paul and Carl would have for teachers trying to help their students learn amidst school closures.

Special episode: Online learning during the Covid-19 outbreak
In the wake of the Covid-19 outbreak, I sat down with 3 teachers from France who are a week ahead of the UK in terms of providing online learning to their students following school closures. Listen as we discuss what works and what doesn't. Stay safe everyone.

Kris Boulton - Part 3: Is cognitive science almost useless for designing effective teaching?
Kris Boulton returns to the show to complete the trilogy - although Parts, 4, 5... and 23 may not be far away as I have so much to talk to him about. Here we delve deep into Kris' belief that cognitive science has severe limitations when it comes to actually helping teachers improve, and what his alternative is. It is a cracker!

Multiple Choice Questions on trial with AQA's Zeek Sweiry
In a special episode of the show, I speak to AQA's resident multiple choice question guru, Zeek Sweiry to discuss the merits of diagnostic multiple choice questions both as a teaching tool and a tool of assessment.

Slice of Advice 2019: What did you learn this year?
The band are back together again to reflect on what they learned in 2018/19. Expect contributions from the likes of Dylan Wiliam, Mary Myatt, Harry Fletcher-Wood, Tom Bennett, Oli Caviglioli, and many, many, many more. Roll on the summer!

David Didau: Making kids cleverer
David Didau is a former English teacher turned educational consultant, blogger and author. He has written two of my favourite educational books of all time: What If Everything You Knew About Education Was Wrong? and What Every Teacher Needs to Know About Psychology, which he co-wrote with former podcast guest Nick Rose. David now has a new book out - Making Kids Cleverer: A manifesto for closing the advantage gap - and it is a little on the controversial side! In this thought-provoking conversation we cover everything from intelligence, IQ, heritability, cognitive load theory, desirable difficulties, and parenting!

Slice of Advice: What does the first lesson with your class look like?
Slice of Advice returns, and in this episode over 30 world-class educators give their answer to the question: What does the first lesson with your class look like? You will hear about specific activities, setting expectation, establishing routines, and much more from the likes of Bruno Reddy, Mark McCourt, Jemma Sherwood, Jo Facer, and many more besides. I love this episode!

Slice of Advice: What did you learn this year?
In an experimental episode, I asked 50+ of my favourite people one question: "what did you learn this year?". You will hear from the likes of Dylan William, Andrew Smith, Katharine Birbalsingh, Claire Sealy, Andrew Percival, Dan Meyer, and many others talking all things from feedback, work-life balance, signalling, metacognition, working abroad, and everything in between. A must listen for teachers of all subjects and age groups.

Doug Lemov: Teach like a Champion and Top Tips for delivering training
Doug Lemov is a legend. As the author of Teach Like a Champion, he has had a major impact on my teaching and thinking over the last two years. I this interview we discuss several key strategies from the book, looking at the practical ways we can implement them in the maths classroom. We then turn our attention to teacher training, and Doug shares some wonderful advice for anyone delivering a training session to their colleagues. This is a cracker.

Peps Mccrea: Planning, Memorable Teaching and Teacher Expertise
Peps has done it all. He is a former Fasttrack maths teacher and Senior Lecturer in mathematics education. He has been a National Curriculum Advisor for the DfE, External Examiner at the OU, and is the author of Lean Lesson Planning and Memorable Teaching. He now leads on the Institute for Teaching's Masters in Expert Teaching course. We had a great time digging into three areas that really interest me: lean, effective lesson planning; making our teaching memorable; and helping teachers determine and develop expertise in their profession. Get your pen and paper ready for this one, there are nuggets left, right and centre.

Robert and Elizabeth Bjork - Memory, Forgetting, Testing, Desirable Difficulties
Robert and Elizabeth Bjork are my heroes. The Godfather and Godmother of memory (my name for them, not theirs!), and they have transformed my teaching. It was an honour to talk to them. We spoke about how memory works, why forgetting is so important, why tests are far more than tools of assessment, when and why to make learning difficult, optimal spacing schedules, how to interleave successfully, and a whole lot more.

Greg Ashman - Cognitive Load Theory and Direct Instruction v Inquiry Based Learning
Greg is a head of maths in Australia and a prolific and influential blogger at Filling the Pail. We spoke about the implications of Cognitive Load Theory for planning and teaching mathematics (although the lessons are applicable to all subjects), and why Greg prefers direct instruction as opposed to inquiry based approaches to learning.

Tom Bennett - Behaviour, Teacher Workload and ResearchEd
Tom is the UK's leading figure on behaviour in schools, and the founder of ResearchEd. We spoke about in depth about managing behaviour in the classroom, including addressing some common myths. We also spoke about how best to tackle teacher workload, and what Tom considers to be the most important pieces of educational research.

Dylan Wiliam - Author, Researcher, Trainer and Assessment for Learning Expert
Dylan Wiliam is my hero. I know this is a big claim, but I think this interview is an absolute must-listen for teachers of all subjects, possibly all humans full-stop. We spoke about feedback, planning, questioning, research, lesson observations, what Dylan wishes he had known when he started teaching, and so much more. I genuinely have listened back to this interview more than 5 times, and I pick up something new on each listen. Thank you Dylan!
I am not going to lie - these episodes contain plenty of maths chat. There may be ideas that transfer across to other domains, but I make no promises!

Jo Morgan: Teaching Key Stage 3 maths
Jo Morgan returns to the show to discuss how she is finding it this year with no GCSE or A Level classes. It turns out she is loving it, and we discuss in depth the beauty of teaching Key Stage 3 maths, the mistakes she sees other schools make with this phase, and the simple strategies for improvement that any school or teacher could implement.

Jonathan Hall: MathsBot, teaching visually and behaving mathematically
Jonathan Hall, the creator of the incredible MathsBot website joins be to discuss why he has moved to teaching in a more visual way, what this looks like in the classroom in terms of physical manipulatives versus virtual manipulatives, and what he means by behaving mathematically.

Robert Kaplinky: Depth of Knowledge, Open Middle Problems and effective CPD
Robert is a US maths educationalist and all round legend. He is the brains behind the Open Middle website, and the depth of knowledge framework. In this episode we delve deep into problem solving using those two key ideas as a stimulus, and also discuss effective CPD. It is a good one!

Tom Francome - Part 1: Supporting novice teachers, planning lessons and... Excel!
Tom is a former maths teacher and head of maths, and now lecturer, researcher and teacher trainer. In this epic conversation I manage to ask about 3 of my planned questions because the answers Tom gives are so insightful. We cover planning lessons, working with novice teachers, where lessons can go wrong, and much, much more.

Topics in Depth: Indices with Jo Morgan (supported by TES)
Jo Morgan and I go deep into the topic of indices, looking at resources, sequencing, misconceptions, historical background, and other key issues. This is available in audio form and also as a video. On the podcast page you will also find a link to download the PowerPoint used that contains all the resources.

Alex Bellos: Puzzles, Perception and Pool Tables
Alex is a journalist, the man who runs the Guardian's fortnightly Monday puzzle, and the author of some of the best-loved Maths books of recent times, including Alex's Adventures in Numberland. As I found out, he is also just a brilliant person to have a chat to. We talk about puzzles, writing about maths, the perception of our subject, and plenty more!

Julia Smith: Teaching GCSE resit and the 5Rs approach
Julia is a former teacher, who is now a teacher trainer, author, and pioneer of the 5Rs approach. This simple way of breaking down lessons into manageable chunks, each of which serves a key purpose, has been revolutionary in terms of the impact it has had on GCSE resit students. But, as we examine in this conversation, its application could go much wider.

Rob Eastaway: Estimation, perception of maths and the importance of haha
Rob is a mathematician, author, presenter and puzzle writer. In this episode we delve deep into the importance of estimation, even in the an age of technology. We also cover the public perception of maths, humour in lessons, the writing and answering of maths puzzles, the relationship between cricket and maths, and even a bit of parenting advice. It is a good one!

Jonny Griffiths: Rich tasks, mental health and problem solving
Jonny is a legend of maths education, being the brains behind the wonderful RISP activities. And of course in this conversation we dig into those. But we also delve into lots of other territories, ranging from problem solving, textbook writing, and an important discussion about mental health issues in teaching.

Chris McGrane: Task design and changing your mind
Chris is a former head of mathematics in Scotland who now works for La Salle education. Like me, he has undergone something of a mid-career crises when he started to engage in educational research. However, we have reached slightly different conclusions in a number of key areas. In this conversation we delve deep into those areas, as well as discussing how to create or choose a good mathematical task.

Michael Pershan: Example-Problem Pairs, problem solving and moving schools
Michael is a maths teacher and blogger from the US. I have been a fan of Michael's writing for a long time, and it was fascinating to get the opportunity to talk in depth about areas of pedagogy that are close to our hearts. We talked about the difficulty of moving schools, our views on problem solving and then the big one... Example-Problem Pairs (spoiler alert: we don't agree upon the best way to use them!)

Naveen Rizvi - Part 1: Scripted lessons, examples and social media
Naveen Rizvi is Maths Curriculum Advisor for United Learning, and has previously taught at Michaela and Great Yarmouth schools, both of which have been in the public eye over the last few years. In what will no doubt prove a controversial episode (always good for the listening figures!) Naveen takes us through how she plans a sequence of lessons on rearranging formulae, completed with a scripted resource booklet which you can download from the podcast page. It is fascinating listening.

Chris Smith: Injecting fun into lessons, Resources, Pi Day, Revision Days
Chris Smith is a maths teacher, Pi Day lover, TED Talker, popular newsletter writer, and the 2018 Scottish teacher of the Year. In this conversation we cover everything from lesson planning, time-management, running successful revision days, and the role of fun in maths lessons. Enjoy!

Jo Morgan: 100th Maths Gems Special
In this special podcast to celebrate Jo's 100th Maths Gem blog post, we end up talking about so much more than resources - although there is plenty of chat about that, so don't you worry. We also cover the role of fun in lessons, practical use of cognitive science in teaching, SSDD problems, what Jo has learned this year, and plenty more besides. Oh, and there is even a quiz!

Helen Williams: Early Years teaching and manipulatives
Dr Helen Williams has been teaching, and learning about mathematics teaching, for over 30 years. Her particular expertise is in learning maths with children from 3 to 8 years of age, which is most certainly not my area of expertise! In this wide-ranging conversation, we discuss exactly what an early years maths lesson might look like, why manipulatives are so important for children of all ages, and why Helen is not exactly sold on Cognitive Load Theory!

Bernie Westacott: Teaching maths with visuals and manipulatives
Bernie Westacott is a master of teaching key mathematical concepts in a visual way, using manipulatives and other representations. In this episode he takes me through 3 demonstrations: introducing number, operations with negative numbers, and simultaneous equations. In a world first for the Mr Barton Maths Podcast, this episode is available in both audio and also video so you can see Bernie in action, and watch me struggle!

Hannah Fry: Algorithms, love and being a mathematician
Dr Hannah Fry is a mathematician, and a legend. In this interview we discussed her career, books, and TV work, covering topics such as the role maths can play in relationships, parenting, solving crime and driverless cars. The includes a discussion of Hannah's book Hello World, which is outstanding.

Jeremy Hodgen: Teaching low-attaining students, relevance and fingers!
Jeremy is a Professor of mathematics education researcher at UCL Institute of Education, the co-author, along with Dylan Wiliam, of Mathematics Inside the Black Box, and the co-creator of the ICCAMS project. We had a fascinating and wide-ranging discussion that covered is findings on a project into the best way to teach low-achieving students, the importance of mathematical stories, how to deal with relevance in mathematics, and the key role fingers have to play in learning!

Simon Singh: Fermat's Last Theorem and stretching high-attainers
In this episode, I got to interview one of my all-time heroes, Simon Singh. Simon is the author of some of my favourite books, including Fermat's Last Theorem and the Codebook. But not content with retelling some of the most wonderful stories about our subject, Simon also wants to help develop mathematics excellence through his work with the Parallel Project. This is an episode not to be missed.

GCSE Maths Special: Graham Cumming and Karen Wilkinson
With the summer 2018 Maths GCSEs finally behind us, I thought it would be nice to reflect on the experiences of teachers and students over the first two years of sitting of the new GCSE Maths specification. And who better to join me on this voyage of discovery than my very own Head of Department, Karen Wilkinson, and the Head of Maths at Edexcel, Graham Cumming. Settle yourselves down for an enlightening discussion on good and bad questions, tiering decisions, and much, much more.

Alison Kiddle and Charlie Gilderdale: NRICH
Alison and Charlie work for NRICH, a website of rich maths activities and problems that I am sure most of my maths teaching audience have heard of and visited. But how can we get the very best out of NRICH? Are the activities only suitable for our highest attainers? And how on earth will my students develop fluency in key skills whilst doing them? It is these questions and more that I wanted the answers to, and Alison and Charlie certainly delivered!

Oliver Lovell: Planning, running a maths department and Cognitive Load Theory
Ollie Lovell is a high school maths teacher from Australia. He is also an incredible thinker. Like me, he is a little obsessed with educational research and how he can apply it to the greatest effect in his classroom. In an epic 3+ hour interview we dig into how Ollie has planned out a new approach to teaching Year 12, how he runs a maths department, and his views (and questions!) about Cognitive Load Theory. I loved this interview!

Anne Watson and John Mason: Variation, questioning, visualising and developing mathematical thinkers
Anne Watson and John Mason are two of the most influential people in the history of mathematics education. Their books, papers and workshops have influenced generations of maths teachers and this directly improved the experience of teaching and learning maths for hundreds of thousands of students. In this interview we look back over their careers, and then dive deep into the principles of Variation Theory, how to ask good questions and the importance of visualisation.

Helen Hindle: Mixed attainment teaching and growth mindset
Helen is an experienced maths teacher and head of department. She is also the organiser of the Mixed Attainment Maths Conference. Mixed attainment (or as I often mistakenly call it, mixed ability) teaching is an area I am woefully inexperienced in and clueless about, so it was incredible to speak to Helen to get to the bottom of why she believes in it so much, and how to make it as effective as possible. Along the way we also tackle the concept of a growth mindset, and how Helen tries to instill that in her students.

Amir Arezoo: Lean maths departments, deep work, schemes of work
Amir is an experienced maths teacher, someone who has been head of maths in several schools, and who is now Vice Principal for Raising Achievement at Horizon Community College in Barnsley. Listeners have requested more interviews with experienced and successful teachers, so they can learn from their habits, processes and past mistakes, and Amir certianly delivers. We talk about running successful departments, planning lessons, creating opportunities for deep work, what makes a good scheme of work, and a lot more!

Jane Jones: Ofsted, observations, marking, reasoning
Jane is a former teacher and head of maths who is now the HMI National Lead for Mathematics - to me and you that means she is the most senior maths specialist in Ofsted. In this revealing interview Jane discusses everything from observation and marking, setting and reasoning, and a lot more besides. Whether you are due an Ofted inspection, just had one, or simply curious about what Ofsted are looking for, this is the interview for you.

Colin Foster: Mathematical Etudes, Confidence and Questioning
Colin Foster is a former maths teacher who is now an Assistant Professor at the Centre for Research in Mathematics Education in the School of Education at the University of Nottingham. We talked about Mathematical Etudes, or what I term Purposeful Practice. I believe this is one of the most important types of practice we can give our students, allowing them to become fluent in key skills, whilst also developing problem solving capabilities. We also discuss the role of confidence in learning, and what makes a good question. I loved this interview.

Lucy Rycroft-Smith: Cambridge Mathematics, Setting, Times Tables, Anxiety
Lucy is the Research and Communications Officer at Cambridge Mathematics. I base my interview around five key questions from Lucy's espresso research series: What are the effects of attainment grouping on mathematics learning? What are the issues in learning and assessing times tables? How does maths anxiety affect mathematics learning? How does assessing confidence affect learning and testing in mathematics? How can mathematics teaching be measured? But we cover a lot more besides!

Kris Boulton - Part 2: Minimal guided instruction, Understanding, How before Why
Kris returns to the podcast for another epic. This time we cover Kris' concerns with minimal guided approaches to teaching, such a discovery and inquiry based learning. We also delve into what it actually means to understand something in maths, and whether we as teachers can ever truly assess that understanding. Finally, how do you decide if you should teach the How before the Why?

Andrew Blair interview from 2014: Inquiry Maths and being Head of Department
My first interview with Andrew caused something of a stir (in a good way!), so I thought it would be useful to release an interview I did with Andrew back in 2014 for my TES Maths Podcast. Here Andrew describes a completely open-ended inquiry lesson, as well as sharing some excellent advice on being a Head of Department.

Andrew Blair: Inquiry Maths
Andrew is a head of maths at the creator of inquirymaths.org. We spoke about planning and delivering inquires in mathematics, explicit instruction, developing fluency, problem solving, and evaluated evidence related to memory, motivation and purpose.

Rachel Webster: How your Year 7s have been taught maths
Rachel is an experienced primary maths teacher. We spoke about what primary maths lessons look like, what topics they have covered, their problem solving skills, their use of manipulatives, what students might be expecting maths lessons to look like at secondary school, and much more.

Chief Examiner Trevor Senior: How GCSE Maths exams are written
Trevor is AQA's Chief Examiner for the Maths GCSE. We spoke about when the GCSE maths writing process starts, who is involved, what makes a good question and what makes a bad question, what are the difficulties, how exams are marked, and much more. This is a great listen now we have finally made it through the first new specification GCSE cohort, and essential listening as we prepare for the next!

Dani Quinn - Part 2: Michaela School, Behaviour, Drills, Culture
Dani Quinn, the Head of Maths at Michaela Community School, returns! In the follow-up to the controversial first interview we spoke about the behaviour policy at Michaela, the practice of drilling, teaching for understanding and the staff culture.I wonder if I will get told to "go to hell" as a result of this one.

Dani Quinn - Part 1: Michaela, Lesson Planning and Low Stakes Tests
Dani is the head of mathematics at the controversial Michaela Community School. We spoke at length about what maths lessons at Michaela Community School looks like, the importance of their weekly test, and how competition between students is used.

Paul Rowlandson - Bar Modelling, Questioning, Shanghai, Tokyo & Training Teachers
Paul is a maths teacher and a leading expert on bar modelling. We spoke about planning for understanding, bar modeling, advice on questioning, what Paul learned from his trips to Shanghai and Toyko, advice for teacher training and much more.

John Corbett - Flipped Learning, Making Videos and Corbett Maths
John is an experienced maths teacher and the legend behind the ridiculously good Corbett Maths. We spoke about planning and delivering lessons using a flipped learning approach, the process that goes into creating maths videos, writing good maths questions, and advice for new teachers.

Beth Lilley - A year as an NQT
At the time of recording, Beth had just finished her first year as a maths teacher. We spoke about the pressures of being an NQT, maintaining a work-life balance, and Beth shares her top tips for surviving and thriving during a grueling year.

Jamie Frost - Dr Frost Maths and Teaching High Achievers
Jamie is an experienced maths teacher at the high achieving Tiffin School. He is also the creator of the outrageously good Dr Frost Maths website. We spoke about planning sequences of lessons, the importance of internalising concepts, and teaching high achievers.

Mark McCourt - Ofsted, emaths, La Salle Education and NCETM
Mark is a legend in the world of maths education. He is a former head of maths, Ofsted Insepctor, Headteacher, creator of emaths, creator of Complete Maths, and the organiser of the amazing La Salle Maths Conferences. We spoke about Ofsted lesson observations, teacher training, being Head of Department and why Mark has never marked a book in his life!

Stefanie Sullivan - Maths PGCE Tutor from Nottingham University
Stef is in charge of the PGCSE programme at Nottingham University, and was my tutor when I trained there many years ago. We spoke in-depth about the lesson planning process, habits of successful trainees, and the most common reasons for teachers leaving the profession.

Will Emeny - Great Maths Teaching Ideas and Numeracy Ninjas
Will is a genius. He is a head of maths, blogger, and the creator of Numeracy Ninjas. He also has a keen interested in cognitive science, and memory in particular. We spoke about being a successful Head of Department, prior learning dependency flow and the fascinating subject of memory

Dan Meyer - dy/dan, 3 Act Math and Desmos
Dan is possibly the most famous maths teacher in the world. His TED talk and subsequent work on 3 Act Math had a huge influence on my career. We spoke about good and bad uses of technology in teaching and learning, the future of Desmos and the excellent Aspirin and Headache series.

Charlie Stripp - NCETM and MEI
Charlie is a very important man in the world of maths education. He is the head of both the MEI and the NCETM, as well as still finding time to teach maths. We spoke about the importance of times tables, Mastery teaching and the best and worst features of the new maths GCSE.

Bruno Reddy - Times Table Rockstars and MrReddy.com
Bruno is incredible. He is the former head of maths at the pioneering King Solomon Academy, and the creator of the global dominating Times Tables Rockstars. We spoke about creating the right culture in lessons and in school, homework and written feedback, mixed attainment classes, Mastery, Shanghai, and much, much more!

Mel Muldowney - JustMaths
Mel is part of the award winning JustMaths team, a prolific blogger, and experienced maths teacher. We spoke about running a maths department, moving to a new school, and her now award-winning way of preparing students for the demands of the Maths GCSE.

Jo Morgan - Resourceaholic
Jo is a maths teacher, head of maths, and award winning blogger. Her Resourceaholic blog is a must visit for all maths teachers, and her Maths Gems posts are always overflowing with gold. We spoke about organising resources, blogging, Twitter and advice for NQTs.

Oxbridge Interview Special
On this episode I interviewed four Year 13 students about their experience in their recent Oxford and Cambridge interviews, which should be useful for anyone thinking of applying or helping a student prepare.

Neil Ogden - Maths Specialist at OCR
As part of my trilogy of interviews with the awarding bodies about the new Maths GCSE, and what it is like to do their job, I spoke to Neil Ogden from OCR

Graham Cumming - Head of Maths at Edexcel
As part of my trilogy of interviews with the awarding bodies about the new Maths GCSE, and what it is like to do their job, I spoke to Neil Ogden from OCR

Andrew Taylor - Head of Maths at AQA
As part of my trilogy of interviews with the awarding bodies about the new Maths GCSE, and what it is like to do their job, I spoke to Neil Ogden from OCR
Here you will find a series of episodes featuring fellows at the Mathematics Education Centre at Loughborough University. The aim of this series is to take a look at some of the most innovative research going on in the field of mathematics education, and consider what the implications are for the classroom. Episodes will be available throughout November and December 2020. The mathematics research in action series is kindly sponsored byOxford Revise GCSE Maths.

Julia Bahnmuller:

Tim Jay

Iro Xenidou-Dervou

Kelly Trezise

Korbinian Moeller

Ouhao Chen

Matthew Inglis

Krzysztof Cipora

Beth Woollacott

Dave Hewitt
I have teamed up with Jo Morgan (@mathsjem) and TES to delve deep into key matheamtical topics, looking at progression, misconceptions, resources, etymology and much, much more. Each of these episodes was filimed, and the videos are embedded into the show notes page. You will also find the PowerPoint Jo uses so you can access all the resources.
Topics in Depth: Indices Topics in Depth: Angles and Parallel Lines This is a series of episodes dedicated to supporting teachers who are working from home amidst the Covid-19 outbreak of 2020. There will be technology focussed episodes - just how does remote teaching work? But also episodes focussed on the practicalities of coping with setting students appropriate work whilst also having to look after your own children at home. Then there are issues of safeguarding, differentiation, mindset and more that I hope will come up as we progress. There will be maths teachers, teachers of other subjects, and primary school teachers. There will be teachers from the UK and overseas. Hopefully something for everyone.
Ben Rooney - structure, social interactions and experimenting with technology
Michael Pershan - Zoom, Assessment for Learning and a careful choice of questions Jo Morgan - Hegarty Maths, family life, and why she will not be doing "live" lessons Dan Pearcy - Google Meets, Poll Everywhere and 5 principles for remote teaching Adam Boxer - retrieval, conducting interviews, and staying safe and sane Jon Hutchinson - making videos for primary school students Helen Williams - supporting Early Years students Jules Daulby - supporting students with Special Educational Needs Ollie Lovell and Bryn Humberstone - Checking for understanding, Desmos and lessons learned Matt Hood - Oak National Academy and ResearchED Home Jamie Frost - Dr Frost Maths and virtual whiteboards
The podcast is free, and always will be. However, if you wish to support the show, there are 3 ways you can do so:

1. Write a review (ideally a nice one) wherever you access the podcast from

2. Tell a colleague about the podcast - maybe starting with recommending an episode for them to check out

3. If you wish to make a donation to support the production and hosting cots - or, more accurately, to buy me a Mellow Birds coffee, then you can do so via my Patreon page here: patreon.com/mrbartonmaths

How I wish I'd taught maths
Speaking to the wonderful guests on my podcast also inspired me to write my own book: How I wish I'd taught maths: Lessons learned from research, conversations with experts and 12 years of mistakes. The book is my attempt to distill all I have learned, and the practical changes I have made to my planning, lessons and thinking. It is published by John Catt Education Ltd, and can be bought via Amazon or directly from John Catt. For details on the associated series of workshops, please click here. I really hope you enjoy it.

Reflect, Expect, Check, Explain
This book is my attempt to take some core principles from Variation Theory and utilise them to help students get more from practice questions, better remember and understand rules, and harness technology such as Desmos and GeoGebra to its full potential. The book also contains an epic 45,000 word chapter that looks at how schools around the world have taken the core ideas from my first book, How I wish I'd taught maths, including Diagnostic Questions, SSDD Problems, Silent Teacher and more, and adapted them in the two years since the book's release. Reflect, Expect, Check, Explain is published by John Catt Education Ltd, and can be bought via Amazon or directly from John Catt. For details on the associated series of workshops, please click here. I really hope you enjoy it.

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Mr Barton Maths Podcast Contents The Mr Barton Maths Podcast: " changing useless time into CPD time" - @MrsG on Twitter On the Mr Barton Maths Podcast I interview guests from the world of education who interest and inspire me. They may be fellow teachers, bloggers, thinkers, or people of influence.

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BBC Radio 4 Extra - A Brief History of Mathematics - Downloads

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Podcast downloads for A Brief History of Mathematics

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BBC Radio 4 - Simon Singh's Numbers, Five Numbers

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Simon Singh takes a quirky look at five of the most important numbers in mathematics.

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BBC Radio 4 - Simon Singh's Numbers, A Further Five Numbers

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Five mathematical biographies, looking at the histories and uses of some special numbers.

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BBC Radio 4 - Marcus du Sautoy’s Five Shapes

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Mathematician Marcus du Sautoy finds his favourite forms in some highly unlikely places.

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A guide to avoiding shorcuts that cut out math concept development.

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To keep your brains ticking over during the COVID-19 crisis, why not try one of Mr Smith's wee puzzles?

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The Shell Centre is known around the world for its innovative work on mathematics education. The Shell Centre team has a wide range of ongoing activities including design, development and research.

Shell Centre Publications Ltd. was set up to distribute and license materials developed at the Centre, and offers a range of innovative teaching materials for mathematics education, together with research publications and tests from the Centre and its collaborators.

...thanks to the work of the National STEM Centre who now operate a wonderful archive of classic education materials from Science and Maths. The Standards Unit Improving Learning in Mathematics materials, partly developed at the Shell Centre, can also be found there.

We are also investigating the possibility of keeping a few popular titles - staring with The Language of Functions and Graphs - available in print using a third party 'print-on-demand' service who will accept orders, print and ship the books internationally. If you are potentially interested in this, please let us know at shell.centre@mathshell.com as it will help us set priorities.

Shell Centre Publications remains active, licensing the work of the Shell Centre for Mathematical Education and Mathematics Assessment Resource Service around the world, as well as developing new materials in conjunction with the Centre for Research in Mathematical Education at the University of Nottingham. The work of our current flagship project, developing formative and summative assessments for the US Common Core State Standards in Mathematics, can be found at map.mathshell.org.

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Shell Centre for Mathematical Education Publications Ltd.

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The Shell Centre is known around the world for its innovative work on mathematics education. The Shell Centre team has a wide range of ongoing activities including design, development and research. Shell Centre Publications Ltd.

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Spire Maths | Stimulating, Practical, Interesting, Relevant and Enjoyable mathematics for all.

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Free mathematics site full of teaching resources primarily for secondary teachers of mathematics, though it does contain many resources for primary teachers.

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Data talks are short 5-10 minute classroom discussions to help students develop data literacy. This pedagogical strategy is similar in structure to a number talk, but instead of numbers students are shown a data visual and asked what interests them. In a data talk the teacher does not have to be an expert in the topic of the data visualization - if a student asks a question, you can say that you do not know the answer but would love to find out, together! This a nice opportunity to model not knowing, and embracing uncertainty. Data talks are intended to pique students' curiosity and encourage question asking, and to help them understand and "read" the data-filled world in which they live.

On this page, you can download a paper explaining what a data talk is, then try one or more of the data talks below with your students. To learn more about data talks and the importance of Data Science, we recommend our latest online course, 21st Century Teaching and Learning, our data science lessons for grades 6-10, and our data science picture book.

The New York Times, in association with the American Statistical Association, ASA - shares weekly graphs that are also great sources for data talks. For more information go to What's Going on in this Graph.

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Data talks are short 5-10 minute classroom discussions to help students develop data literacy. This pedagogical strategy is similar in structure to a number talk, but instead of numbers students are shown a data visual and asked what interests them.

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I wrote about my rationale for this project in 2017.

The idea is that a teacher delivers these sessions to their colleagues in a department meeting or CPD session at an appropriate time (ideally when they are about to teach that topic).

Each pack covers subject knowledge, teaching approaches, misconceptions and resources.

The collection is growing very slowly! Please bear with me - these take a really long time to pull together. Each pack should take between 30 and 60 minutes to run through with colleagues. Please download the documents so that the animations and links work. Refer to the notes section on each slide for sources and comments.

I am in the process of recording videos of each of my presentations with Craig Barton, supported by TES.

I am very grateful to maths teacher and consultant Nikki Martin for providing a set of 'Topics in Depth' packs for primary teachers - I've shared these below.

Topics in Depth Secondary Collection

In the Marvellous Maths 2 course I present Topics in Depth sessions on Coordinates, Pythagoras and Decimals.

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I wrote about my rationale for this project in 2017. The idea is that a teacher delivers these sessions to their colleagues in a department meeting or CPD session at an appropriate time (ideally when they are about to teach that topic). Each pack covers subject knowledge, teaching approaches, misconceptions and resources.

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Raising levels of achievement in maths, and increasing appreciation of the power and wonder of maths

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IMA - The Institute of Mathematics and its Applications

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The Institute of Mathematics and its Applications is the UK's chartered professional body for mathematicians and one of the UK's learned societies for mathematics.

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MEI is committed to improving mathematics education and promotes teaching and learning through different strands of activity. We support teachers through a range of professional development opportunities, including our annual conference. Innovative resources are continually being developed to extend and enrich your knowledge of mathematics, whether teacher, student, undergraduate or member of the workforce.

MEI takes various opportunities to share and discuss with you the changing landscape of mathematics education, including consultation, discussions, social media, and our newsletters. Another way you can get involved is through our membership scheme.

MEI is an independent charity; any income generated through our work is used to support mathematics education. We are a partner in the NCETM consortium, and also manage the government-funded Advanced Mathematics Support Programme.

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MEI is committed to improving mathematics education and promotes teaching and learning through different strands of activity. We support teachers through a range of professional development opportunities, including our annual conference. Innovative resources are continually being developed to extend and enrich your knowledge of mathematics, whether teacher, student, undergraduate or member of the workforce.

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Where maths meets... the world of work! - AMSP

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Increasing participation in Core Maths, AS/A level Mathematics and Further Mathematics

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A selection of our favourite mathematical puzzles and problems. Most are simple to explain, but the solutions require clever and unconventional thinking.

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http://generic.wordpress.soton.ac.uk/smp2/access-to-smp/

Password: smp2books

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In this project we have digitised many of the SMP books. We could do this because the copyrights are back at the University of Southampton.

We are happy to provide the scans/digitised books via both this website and a shared drive.

The only thing we ask of you is that we might ask you some initial questions about SMP, including the way forward, and at a later stage perhaps some questions about if and how you used the books.

1. Please register here first and you well get the password for both the curriculum pages (still expanding) and the Google Drive with all the complete books.

2. You can find the shared drive with complete books here.

3. You can access the books mapped to the curriculum, in separate smaller parts, here [still being expanded].

We would like to request that you ask other people who are interested to come to this website, rather than send on any pdfs. We need to show the university that plenty of people still appreciate SMP and we can evidence this by hits, downloads and interested people!

At the moment, as 'soft launch' we have published several books under a 'fair use' policy. We assume that people who download the books will do so while fully referencing the original SMP authors, and the current source(s). Books may be used on a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International basis, so please don't sell them or modify them. If you have some great ideas to do follow-up initiatives (for example, we would love to instigate a new Key Stage 3 book series! If you spot errors please let us know; it is after all a labour of love. As we house the whole archive, if you have any specific requests, let us know, preferably via C.Bokhove@soton.ac.uk.

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In this project we have digitised many of the SMP books. We could do this because the copyrights are back at the University of Southampton. We are happy to provide the scans/digitised books via both this website and a shared drive.