The Primary Maths Podcast

Christmas Is Just One Long Maths Problem (A Festive Aftermaths)

There’s no interview this week, no school talk, and absolutely no mention of lesson objectives.

Instead, Jon and Becky settle in for a festive Aftermaths special — a lighter, reflective end-of-term episode full of Christmas maths, curious statistics, questionable guesses, and the kind of conversations you can happily listen to while wrapping presents or hiding in the kitchen for five minutes of peace.

From debating whether Die Hard really is a Christmas film, to exploring how many calories we might consume on Christmas Day, this episode is a gentle reminder that maths has a habit of sneaking into life — even when school is firmly off the table.

Along the way, Jon shares festive statistics on charity giving, travel, food, drink, and Christmas traditions, while Becky brings some Christmas-themed world records, including the most successful Christmas movie of all time, the best-selling festive song ever, and one spectacularly tall Christmas tree.

There’s plenty of laughter, a few wild guesses (especially involving measurement), and more than enough festive maths to fuel a Christmas quiz or two.

As we wrap up the year, it’s also a chance to say a huge thank you to everyone who’s listened to the podcast in 2025 — with one final roundup episode still to come before we head into 2026.

🎄 Merry Christmas from The Primary Maths Podcast.

• Is Die Hard actually a Christmas film?
• Festive generosity and charity by the numbers
• Christmas Day calories, timing, and traditions
• Travel maths at the busiest time of year
• The highest-grossing Christmas film ever
• The best-selling Christmas song of all time
• One extremely tall Christmas tree (and some extremely bold guesses)

⭐ Enjoying the podcast?

If you’re feeling generous this Christmas, a quick rating or review on your podcast platform would be the perfect festive gift.

As the autumn term finally draws to a close, Jon and Becky reflect on teacher fatigue, festive chaos, and the sense of relief that comes with making it to the holidays.

This week’s Aftermaths dives into fractions — why they’re such a sticking point for pupils (and adults), and how misunderstandings often stem from losing sight of the whole. Jon shares reflections from a full day of fractions work with SCITT students, exploring why fractions feel so different from whole numbers, how notation can trip learners up, and why conceptual understanding matters far more than memorised procedures.

The conversation then turns to a worrying headline: AI and remote “virtual teachers” being used to teach maths. Jon and Becky unpack the implications, questioning whether specialist knowledge can ever compensate for the loss of relationships, responsiveness, and human presence in the classroom.

Finally, they reflect on key takeaways from this week’s interview with Mike Gardner on oracy — including purposeful talk, thinking aloud, effective talk partners, and the importance of creating classrooms that are safe spaces for both pupils and teachers to make mistakes.

A thoughtful, end-of-term episode that blends pedagogy, policy, and perspective — just as everyone heads into a well-earned break.

• Why fractions feel fundamentally different from whole numbers
• Common misconceptions caused by notation and procedures
• Conceptual understanding vs “doing the same to the top and bottom”
• Whether AI and remote teaching are solutions — or warning signs
• Why relationships sit at the heart of effective maths teaching
• Key oracy insights from Mike Gardner’s interview
• The value of purposeful talk, mistakes, and teacher confidence

📩 Get in touch:

Share your thoughts or your festive Maths of Life moments at [email protected]

⭐ Enjoying the podcast?

A quick rating or review really helps others find the show — and we appreciate it more than you know.

Oracy is set to play a central role in England’s refreshed curriculum, but for many teachers it still feels abstract or confined to English lessons. In this episode of The Primary Maths Podcast, Jon Cripwell is joined by Mike Gardner to explore what oracy actually looks like in a real maths lesson.

Together, they deconstruct a lesson from start to finish, showing how purposeful talk can strengthen learning at every stage, not as an add-on, but as a core part of effective maths teaching.

Mike draws on over 13 years of classroom experience across Nursery to Year 6, as well as his current role supporting teachers across 13 schools, to share practical, low-effort strategies that teachers can use immediately.

• Why oracy matters in maths
• How talk supports thinking, reasoning and understanding, and why it is increasingly prominent in curriculum reform.
• The warm-up and starter
• Using short, verbal routines to engage pupils, build fluency and transition productively into maths learning.
• Retrieval through talk
• Moving beyond hands-up questioning to strategies like odd one out, partner explanation and shared reasoning.
• Teacher modelling and thinking aloud
• Making mathematical thinking visible by verbalising decision-making, misconceptions and self-correction.
• Stem sentences and choral repetition
• How repeated language builds schema, confidence and mathematical precision.
• Pupil practice with purpose
• Using structures such as Rally Coach to deepen understanding without increasing workload.
• Formative assessment through listening
• Why hearing pupils explain their thinking often tells us more than written answers alone.
• Exit tickets that reveal understanding
• Creative approaches such as misconceptions, forbidden words and verbal reflection.

Throughout the episode, Mike and Jon return to a central idea: the goal is not more talk, but better talk. Talk that helps pupils organise their thinking, use mathematical language accurately, and understand the “why”, not just the “how”.

Mike Gardner is an experienced primary teacher and Teaching and Learning Lead across the Maritime Academy Trust. Having taught across the full primary age range, he now works alongside leaders and teachers in 13 schools to develop high-quality classroom practice, with a particular focus on oracy and its impact on learning, wellbeing and social mobility. Mike is also the author of Voices of Opportunity, published by Routledge in 2026.

In this week’s Aftermaths, Jon and Becky unpack a festive mix of maths chat, listener questions, curriculum reflections and some unexpectedly delightful Spotify Wrapped stats.

• A listener question on probability, independence and why a coin can land heads 999 times in a row… yet still be 50/50 on the next flip.
• Jon explains just how unlikely it is to flip 1,000 heads in a row (spoiler: think “finding one specific grain of sand on Earth”).
• Becky revisits probability misconceptions and why humans find long-term averages so counterintuitive.
• The pair explore the curious joys of Quality Street ratios, shrinking tubs, and the mathematics of Christmas preparation.
• Jon reveals the podcast’s Spotify Wrapped results — including top 10 fans, surprising crossover audio-book choices, and what the stats say about teacher listening habits.

They dig into the Santander global report on financial education, discussing:

• Why financial education now ranks just below maths in perceived importance
• How early money habits begin forming
• The tension between PSHE, time pressures and curriculum expectations
• What the Curriculum & Assessment Review might mean for schools

Finally, Jon and Becky reflect on Jon’s interview with Patrick Renouf, including:

• Patrick’s journey from maths-traumatised pupil to maths specialist
• The power of coaching models and non-evaluative PD
• Concept-based inquiry (“stop telling pupils the end of the movie”)
• The importance of curiosity, struggle and the learning pit
• Why pedagogical approaches shouldn’t be siloed by subject

🧠 Key Takeaways

• Short-term independence vs long-term distribution is where probability often trips people up — and pupils too.
• The podcast had a standout debut year on Spotify, reflecting strong engagement, long listening times and lots of shares.
• Financial education is increasingly seen as essential, but many teachers feel underconfident and under-resourced.
• Maths pedagogy connects across subjects — good inquiry, oracy and mastery principles support learning everywhere.
• Struggle isn’t a failure state — for pupils or teachers. It’s the work.

Jon and Becky want your festive Maths of Life examples and classroom Christmas maths stories.

Email [email protected] or drop a comment/DM on social media.

Jon interviews Mike Gardner on what oracy looks like in every stage of a maths lesson — a practical walkthrough packed with classroom-ready ideas.

In today’s episode, Jon speaks to Patrick Renouf, an international maths educator whose journey is unlike almost any other. As a child, Patrick experienced what he later recognised as maths trauma — a mix of high-stakes testing, procedural teaching, and an early sense that maths “wasn’t for him.” But what followed was a remarkable transformation.

Patrick now works with schools around the world helping teachers rebuild their relationship with maths, shift towards teaching for understanding, and create classrooms where thinking — not performing — is the centrepiece of maths learning.

Together, Jon and Patrick explore:

• Patrick’s early experiences of maths anxiety and streaming — and how this shaped his later work.
• Why traditional teaching left him “adrift” and almost caused him to fail his NQT year.
• The pivotal moment a maths coach walked into his classroom and asked, “What do you want to work on?”
• How Number Talks, introduced by Sherry Parrish, completely reframed his understanding of number, fluency, and strategy use.
• Why conceptual understanding isn’t a ‘nice to have’ — it’s the anchor for long-term learning.
• The difference between deductive (“Here’s the objective, now do examples…”) and inductive learning (“What patterns do you notice?”).
• How concept-based inquiry helps children generalise, connect ideas and think like mathematicians.
• Why productive struggle, the Learning Pit, and carefully crafted questions level the playing field for all learners.
• The cultural problems that fuel maths anxiety in adults and children — and why fast answers are not the goal.
• How teachers can regain confidence in maths, even if they’ve never felt strong at it.

• Maths anxiety often stems from performance-driven environments, rote learning, and fragile early foundations.
• Teachers frequently carry their own maths trauma — and it silently shapes classroom practice.
• Mathematical fluency is about being accurate, flexible and efficient — not just fast.
• Letting pupils invent strategies develops deeper number sense than teaching algorithms too early.
• Concept-based inquiry gives children ownership over the mathematics and levels out the power dynamic in class.
• Confusion isn’t failure — it’s the entry point into real learning.

• Number Talks – Sherry Parrish
• The Learning Pit – James Nottingham
• Mindset & Mathematical Mindsets – Jo Boaler
• Concept-Based Inquiry – Lynn Erickson, Lois Lanning, Carla Marshall, Rachel French

• Website: patrickrenouf.com
• LinkedIn: Just search Patrick Renouf (there aren’t many!)

In this week’s Aftermaths, Jon and Becky dive into the wonderfully frustrating world of mathematical misuses in everyday life, inspired by a brilliant email from listener Sam Asplund, a Year 4 teacher and maths lead from Ketten Primary School.

After a pupil requested a “cheese square” during snack time — while pointing out that Dairylea “triangles” aren’t truly triangles at all — Jon and Becky go down a joyful rabbit hole of everyday maths errors. From curved-edged cheese sectors to supermarket statistics, they explore the misconceptions we see “in the wild” far more often than we’d like.

This week’s highlights include:

Sam’s pupil correctly notes that Dairylea “triangles” have a curved edge — making them not triangles at all. Cue a debate about polygons, sectors, and whether “Dairylea Cylindrical Sectors” will ever catch on.

Becky’s first maths misuse: believing that something is “due” to happen simply because it hasn’t happened yet. From dice rolls to roulette wheels to lottery numbers, the misunderstanding is everywhere.

Jon unpacks how mean and median can tell very different stories — and why politicians love using whichever version suits them best. If you've ever wondered why the “average salary” feels inflated… this segment will speak to you.

Becky explores how easily people mistake coincidence for cause — from homework to exam results, leafy diets to lifestyle habits, and even the old myth about storks bringing babies.

Jon rounds things off with the problem of tiny samples, big headlines, and percentages designed to impress rather than inform. (“Burglaries up 200%!” doesn’t mean what you think.)

Becky shares her takeaways from Jon’s interview with Rob Eastaway, including:

• Why written methods rarely feature in “real-world maths”
• How puzzles inspire genuine mathematical thinking
• The importance of estimation
• Making space for curiosity, conjecture and open-ended exploration

Got a favourite maths error you’ve spotted in the wild? Email: [email protected] — Jon and Becky would love to feature it.

In this episode, Jon is joined by the brilliant Rob Eastaway, whose books, puzzles and radio appearances have helped hundreds of thousands of people see the beauty in everyday maths. They explore how curiosity drives mathematical thinking, why written methods can sometimes obscure understanding, and what we can learn from the history of numbers — from Roman numerals to Elizabethan clocks.

Rob shares stories from Maths Inspiration, his nationwide programme of interactive theatre shows for teenagers, and talks about the importance of connecting maths to real life, real surprises and real joy. They also discuss how puzzles, games and magic tricks can open doors for pupils (and parents!) who may not think maths is “for them”.

With reflections on AI, problem solving, cognitive load, and why estimation is still one of the most powerful skills we can teach, this is a wide-ranging, warm, and genuinely inspiring conversation.

In this episode:

• How Rob first got hooked on maths puzzle
• Why everyday maths matters more than written methods
• Linking curiosity, surprise and mathematical understanding
• The real story behind Roman numerals and old clocks
• What makes Maths Inspiration so powerful
• Supporting parents with maths anxiety
• Why puzzles need to be pitched carefully
• The problem with exam “problem solving”
• How maths — and maths assessment — might evolve in an AI world

https://robeastaway.com/

https://mathsinspiration.com/

Get in touch: [email protected]

In this week’s AfterMaths episode, Jon and Becky reunite (voice fully restored!) and unpack a packed agenda: a bit of history, a lot of maths, and some classic year-group trauma.

Jon kicks things off with a brilliant history of maths segment — the surprisingly dramatic story of the equals sign, invented in 1557 by Welsh mathematician Robert Recorde, whose parallel-line insight eventually won out over some frankly bizarre early alternatives.

Then it’s time for this week’s feature: the top three trickiest things to teach in primary maths. Jon and Becky each bring their own lists, comparing everything from comparing fractions to converting imperial units, angles to long division, with plenty of shared pain and professional empathy along the way. (Spoiler: teaching time on an analogue clock gets a lot of airtime — and for good reason.)

They also dive into the key takeaways from Phil Hurd’s episode on problem solving, exploring the role of struggle, what real problem solving looks like, and why resilience can’t be taught without experiencing difficulty.

Finally, Becky brings a Maths of Life segment all about memory: why we remember some numbers forever (childhood phone numbers!) and instantly forget others — with a detour into blindfolded speed-cubing. Naturally.

In this episode, Jon sits down with Phil Herd -, maths specialist, and long-time champion of teaching for understanding - to unpick what problem solving really means in primary maths, and why it remains one of the most misunderstood strands of our curriculum.

Together they explore why problem solving is far more than a final question on a worksheet, why pupils struggle to get started on unfamiliar tasks, and how teachers can build a classroom culture where getting stuck is expected rather than feared.

This conversation goes deep into the practicalities: the curriculum pressures, misconceptions about “challenge”, and how to elevate reasoning, conjecture, and strategic thinking so that pupils become flexible, resilient mathematicians.

• What problem solving is (and what it absolutely isn’t)
• Why routine and non-routine problems demand different kinds of thinking
• How current curriculum structures shape pupils’ approaches to unfamiliar tasks
• Creating lessons where success is defined by learning, not just correct answers
• Strategies that build resilience, metacognition, and “stickability”
• How to explicitly teach problem-solving strategies without turning them into a checklist
• The role of discussion, conjecture, and classroom talk in deepening understanding
• Why procedural fluency, reasoning and problem solving must be seen as connected but distinct
• What assessment can (and can’t) tell us about a child’s problem-solving capability
• How to design lessons and tasks that invite exploration rather than anxiety

• Problem solving is central to mathematical thinking, not an add-on.
• Confusion between routine tasks and genuine problem solving leads to poor classroom practice.
• Pupils need explicit modelling of strategies — and lots of opportunities to try them.
• Resilience is not fixed; it grows when classrooms normalise “being stuck”.
• Conceptual understanding is the foundation for true independence in problem solving.
• Assessment needs to reflect problem-solving behaviours, not just recall and speed.
• Non-routine problems must appear regularly, not once a term as a novelty exercise.
• The aim of a lesson should be about learning something mathematical, not scoring a correct answer.

Share your thoughts on today's episode by emailing [email protected]

In this Aftermaths episode, Jon is joined once again by Sally Cole (standing in heroically for Becky!) for a wide-ranging Friday debrief. Together they unpack a huge week in maths education, from the launch of the brand-new Twinkl Maths app on iOS to the University of Nottingham’s State of the Nation review — plus a Maths of Life segment that dives into the mind-bending scale of a trillion.

This week’s conversation pulls together classroom practice, national trends, early years pedagogy and variation theory in the way only an Aftermaths episode can.

⭐ What We Talk About

• The new Twinkl Maths App on iOS

What’s inside it, how it helps with fluency, MTC practice, SEND-friendly settings, and why the Skills Safari is grounded in the Ready-to-Progress criteria.

• Why multiplication and division deserve more curriculum time

Jon reflects on a full-day session with SCITT students and why multiplicative thinking underpins fractions, scaling and upper KS2 success.

• Insights from the latest maths education report

Including:

– Why reception pupils begin with overwhelmingly positive attitudes towards maths

– A surprising link between attitudes and month of birth

– Why most primary teachers feel under-prepared due to workload

– The Key Stage 2 → Key Stage 3 transition problem

– Why early attainment predicts GCSE outcomes far more than we’d like

– Maths anxiety in Year 7 (40% reporting high anxiety)

• The EYFS problem for maths leads

Most maths leads teach in Year 6 — and feel least confident about early years. Jon gives a shout-out to Twinkl PD’s EYFS maths course.

• Maths of Life: How big is a trillion?

Following Elon Musk’s headline-grabbing pay deal, Jon explores the staggering scale of a trillion using comparisons involving seconds, sand, cornflakes, blades of grass and Welsh geography.

– 1 trillion seconds = 31,709 years

– 1 trillion grains of sand = a small bucket

– 1 trillion cornflakes = 55 Olympic swimming pools

– 1 trillion blades of grass = would cover Wales 12 times

– UK long-scale vs US short-scale number names

• Key takeaways from Jon Bee’s interview on variation theory

Sally and Jon unpack:

– The difference between variation and variety

– Procedural vs conceptual variation

– Jon Bee’s “procedural shock” example

– Why representation choices matter

– How schema-building across key stages keeps children engaged

– The importance of teaching what multiplication means, not just how to execute it