『The Primary Maths Podcast』のカバーアート

The Primary Maths Podcast

The Primary Maths Podcast

著者： Jon Cripwell
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10月19日まで。※適用条件あり
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.Copyright 2026 Jon Cripwell 数学 科学
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  • Why Subtraction Isn't Just Taking Away

    Why Subtraction Isn't Just Taking Away
    2026/10/13

    Subtraction isn't always about taking something away. So why do we so often teach it that way?

    Before we get into that, check out our free upcoming CPD sessions:

    Informal Multiplication: https://www.twinkl.co.uk/l/w7xeg

    Practical Techniques to Reduce Cognitive Load in Primary Maths: https://www.twinkl.co.uk/l/ij2cs

    In this episode of The Primary Maths Podcast: Aftermaths, Jon and Becky explore the different meanings of subtraction, why children might find it harder than addition, and how we can help pupils become more flexible and confident mathematicians.

    From taking away and finding missing parts to comparing quantities, they unpack the three structures of subtraction and explain why understanding the context of a problem matters far more than spotting keywords.

    Along the way, they explore the difference between inverse and opposite, discover the history of the minus sign, revisit the shopkeeper's method of counting change, and even find out why computers often use addition to perform subtraction.

    In this episode:

    • Why subtraction might be harder than addition
    • The three structures: reduction, partitioning and comparison
    • Why 'more' doesn't always mean add
    • The importance of representations and conceptual understanding
    • Counting on as an efficient subtraction strategy
    • Why choosing the right method matters more than mastering one procedure
    • The surprising history of subtraction and its symbols

    Because sometimes, the best way to solve a subtraction problem is not to subtract at all.

    PlanIt Maths Scheme: https://www.twinkl.co.uk/l/1djqmc

    Problem Solving: https://www.twinkl.co.uk/l/65mp5

    The Primary Maths Podcast: Aftermaths — with Jon Cripwell and Becky Brown.
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    25 分
  • Addition: structures, strategies and why 8 + 7 matters

    Addition: structures, strategies and why 8 + 7 matters
    2026/10/02
    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 additionWhat 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 numericalNew 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 CPDJon 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 WordleResearch paper: Solving Wordle Using Information TheoryPlay WordlePlay NerdlePartitioning and spatial reasoningChelsea Cutting: Exploring the critical role spatial reasoning plays in young children’s early partitioning developmentFurther reading:Wilson, Myers, Edgington & Confrey: Fair Shares, Matey, or Walk the PlankThe history of mathematical symbolsMacTutor: Earliest Uses of Symbols of OperationFree primary maths CPDExplore Twinkl’s upcoming TeachMeet eventsTwinkl Primary Maths CPD collectionQuote 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: AfterMathsWith Jon Cripwell and Becky Brown.New episodes exploring the ideas, research and slightly unexpected tangents behind primary mathematics.
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    37 分
  • Is the maths attainment gap getting wider?

    Is the maths attainment gap getting wider?
    2026/09/18

    Why do some pupils seem to thrive in maths while others struggle to access the same lesson?

    Jon and Becky discuss the latest PISA findings and the widening gap between higher and lower attainers, before exploring what that looks like in real primary classrooms. They talk about teaching for mastery, adaptive teaching, pre-teaching, the pressures of a packed timetable and why taking time to simply observe pupils can be so valuable.

    With place value being taught in classrooms everywhere at this point in the year, they also look at why it can reveal so much about what children genuinely understand, rather than what they’ve simply memorised.

    Plus, there’s maths in the wild involving an ultra-running teacher, a critically endangered parrot and around 70,000 pints of stolen Guinness.
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    39 分
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