The Primary Maths Podcast

Jon Cripwell

The Primary Maths Podcast is a year-round maths podcast for teachers, leaders and anyone interested in how children learn mathematics. Every Tuesday, join me, Jon Cripwell, for an in-depth interview with an expert voice from across education - teachers, leaders, researchers, authors and thinkers - as we explore what really works in primary maths. We dive into the big ideas shaping maths education, from maths anxiety and fluency to task design, curriculum, reasoning and problem solving. Then on Fridays, Becky Brown and I return for Aftermaths — a shorter, light-hearted, practical debrief where we unpack the week’s key insights, and share clear takeaways for the classroom.. We also share listener stories and discuss The Maths of Life, amongst other topics. Across the week, expect: - Insightful conversations with the people shaping maths education - Clear, actionable takeaways for teachers and maths leads - The Maths of Life — the surprising ways maths shows up in everyday moments - A weekly resource spotlight - New episodes every Tuesday and Friday, all year round If you’re looking for a thoughtful, practical teacher podcast that blends research, real classrooms and conversations that matter, this is the place to start.

  1. Oct 2

    Addition: structures, strategies and why 8 + 7 matters

    Addition is one of the first mathematical operations children meet, but that doesn’t mean it’s simple. In this episode of AfterMaths, Jon and Becky take a closer look at what it really means to understand addition. They explore why knowing lots of different strategies matters, why column addition should be a tool rather than the destination, and why Jon has, somewhat inexplicably, developed a favourite addition calculation. There’s also some Wordle mathematics, new research into the importance of spatial reasoning and partitioning, and a trip through the surprisingly long history of the humble + symbol. In this episode01:16 – Can mathematics help you beat Wordle? Researchers at Binghamton University have used Shannon entropy and information theory to develop a Wordle strategy that solved more than 99% of puzzles in simulations. 05:50 – What’s your favourite addition? Jon nominates 8 + 7, and uses it to explore number bonds, partitioning, near doubles, compensation and the different ways children might see the same calculation. 10:58 – The structures of addition What is the difference between aggregation and augmentation, and do children actually need to know those words? 15:00 – Column addition: servant or master? Written algorithms are incredibly useful, but they aren’t automatically the most efficient or sophisticated strategy. Jon and Becky discuss why children need a repertoire of approaches and the freedom to choose between them. 20:54 – Research: partitioning is spatial as well as numerical New research from Chelsea Cutting explores how spatial visualisation, spatial structuring and proportional reasoning can support young children’s understanding of partitioning and fractions. 26:33 – Where did the + symbol come from? Becky heads down a mathematical-history rabbit hole, from ancient Egyptian walking legs to medieval shorthand and the emergence of the modern plus sign. 34:30 – Free primary maths CPD Jon and Becky look ahead to Twinkl’s programme of free live primary maths sessions, including subtraction, problem solving, cognitive load and mathematical talk. And next week: subtraction. Links and further readingWordle and information theoryBinghamton University: researchers use maths to crack Wordle Research paper: Solving Wordle Using Information Theory Play Wordle Play Nerdle Partitioning and spatial reasoningChelsea Cutting: Exploring the critical role spatial reasoning plays in young children’s early partitioning development Further reading: Wilson, Myers, Edgington & Confrey: Fair Shares, Matey, or Walk the Plank The history of mathematical symbolsMacTutor: Earliest Uses of Symbols of Operation Free primary maths CPDExplore Twinkl’s upcoming TeachMeet events Twinkl Primary Maths CPD collection Quote from the episodeJohn Dewey, Logic: The Theory of Inquiry (1938): “It is a familiar and significant saying that a problem well put is half-solved.” The Primary Maths Podcast: AfterMaths With Jon Cripwell and Becky Brown. New episodes exploring the ideas, research and slightly unexpected tangents behind primary mathematics.

    Addition: structures, strategies and why 8 + 7 matters
  2. Aug 7

    Who Decided How Long a Metre Is? AfterMaths Summer Special 3

    Who decided how long a metre should be? Why is a mile 1,760 yards? And what connects the French Revolution, an expedition from Dunkirk to Barcelona and the speed of light? In this AfterMaths Summer Special, Jon and Becky explore the messy, surprising and occasionally bewildering history of measurement. They begin in a world before standard units, when lengths were measured using hands, feet, cubits, spans and paces. These methods were convenient and widely understood, but rather less useful when accuracy mattered and everybody’s body produced a different answer. From there, they investigate the historical accumulation that gave us imperial units, including the supposed connections between inches and barleycorns, feet and actual human feet, and miles and Roman paces. The story then moves to revolutionary France, where mathematicians and astronomers attempted to create a universal decimal system based on the dimensions of the Earth. Their effort to establish the metre involved years of surveying, triangulation, political upheaval, arrests and the inconvenient discovery that neither the Earth nor their measurements were quite as perfect as hoped. The metre was later represented by a platinum-iridium bar, then by a wavelength of light and, finally, by the distance light travels through a vacuum in a precisely defined fraction of a second. It is a journey from body parts to universal constants, with plenty of mathematical history, questionable conversions and the inevitable disagreement about whether a pace and a “dolly step” are the same thing. Explore The Primary Maths Podcast and more from Twinkl: https://www.twinkl.co.uk/resources/twinkl-podcasts/primary-maths-education-podcast-twinkl-podcasts We always love hearing from listeners. Send your questions, episode ideas and examples of maths hiding in everyday life to: primarymathspodcast@twinkl.co.uk Subscribe to the podcast newsletter on Substack: https://primarymathspodcast.substack.com/ Connect with Jon on LinkedIn: https://www.linkedin.com/in/joncripwell/ If you enjoyed the episode, please follow the podcast, leave a rating or review, or share it with a colleague. It really helps more teachers discover the show. Thanks for listening, and as ever, keep doing the maths.

    Who Decided How Long a Metre Is? AfterMaths Summer Special 3
  3. Jul 31

    The Probability Problems That Make Your Brain Hurt - AfterMaths Summer Special 2 2026

    Probability often feels as though it should be intuitive, right up until the mathematics tells us that our instincts are completely wrong. In this AfterMaths Summer Special, Jon and Becky explore the strange mathematics of chance. From rainy-day board games and rolling two dice to coin-toss streaks, lottery numbers and casino myths, they investigate why humans are so determined to find patterns in genuinely random events. Why is seven the most likely total when rolling two dice? How can just 23 people produce a better-than-even chance of two sharing a birthday? Are 1, 2, 3, 4, 5 and 6 genuinely bad lottery numbers? And after choosing between three mysterious doors, why should you abandon your original choice? The episode concludes with the famously counterintuitive Monty Hall problem: three doors, two goats, one car and a very good mathematical reason to switch. Expect hidden maths, questionable gambling strategies and several probability problems capable of making your brain hurt. Explore The Primary Maths Podcast and more from Twinkl: https://www.twinkl.co.uk/resources/twinkl-podcasts/primary-maths-education-podcast-twinkl-podcasts We always love hearing from listeners. Send your questions, episode ideas and examples of maths hiding in everyday life to: primarymathspodcast@twinkl.co.uk Subscribe to the podcast newsletter on Substack: https://primarymathspodcast.substack.com/ Connect with Jon on LinkedIn: https://www.linkedin.com/in/joncripwell/ If you enjoyed the episode, please follow the podcast, leave a rating or review, or share it with a colleague. It really helps more teachers discover the show. Thanks for listening, and as ever, keep doing the maths.

    The Probability Problems That Make Your Brain Hurt - AfterMaths Summer Special 2 2026

About

The Primary Maths Podcast is a year-round maths podcast for teachers, leaders and anyone interested in how children learn mathematics. Every Tuesday, join me, Jon Cripwell, for an in-depth interview with an expert voice from across education - teachers, leaders, researchers, authors and thinkers - as we explore what really works in primary maths. We dive into the big ideas shaping maths education, from maths anxiety and fluency to task design, curriculum, reasoning and problem solving. Then on Fridays, Becky Brown and I return for Aftermaths — a shorter, light-hearted, practical debrief where we unpack the week’s key insights, and share clear takeaways for the classroom.. We also share listener stories and discuss The Maths of Life, amongst other topics. Across the week, expect: - Insightful conversations with the people shaping maths education - Clear, actionable takeaways for teachers and maths leads - The Maths of Life — the surprising ways maths shows up in everyday moments - A weekly resource spotlight - New episodes every Tuesday and Friday, all year round If you’re looking for a thoughtful, practical teacher podcast that blends research, real classrooms and conversations that matter, this is the place to start.

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