Aftermaths: Sharing, Grouping, and Getting It Wrong (Why Division Trips Us Up)

This week’s Aftermaths dives deep into one of the trickiest topics in the primary maths curriculum — division. Why do so many pupils (and teachers) find it difficult? Jon and Becky unpack the cognitive, linguistic and conceptual challenges behind division and explore what teachers can do to make it more meaningful.

They also reflect on the Curriculum and Assessment Review and Twinkl’s new Curriculum & Assessment Review Hub, which summarises the 197-page report (plus appendices!) and the Government’s response for every subject — including a must-read summary for maths.

👉 Explore the Curriculum and Assessment Review Hub

Later in the episode, Becky’s Maths of Life takes a theatre-themed turn, revealing how ticket discounts and Halloween offers show why calculators aren’t the answer to every maths problem. And Jon reflects on why conceptual understanding beats procedural fluency — especially when pupils (and adults) reach for technology to “do the maths” for them.

They also look back on the EYFS Maths episode with Michelle Windridge, discussing the lessons older year groups could learn from play-based, curiosity-driven learning in Reception. From “joyful chaos” to task design and continuous provision, they highlight why EYFS maths is anything but easy — and why it matters more than ever.

🔑 Key Topics

• The Curriculum and Assessment Review: implications for the new curriculum landing by September 2028
• Why division is conceptually harder than addition, subtraction, or multiplication
• Understanding the difference between partitive (sharing) and quotative (grouping) division
• How inconsistent mathematical language (divide by, goes into, shared between) confuses pupils
• The role of times tables fluency in supporting division
• How subject knowledge and models & representations impact teaching success
• Remainders, flexibility, and efficient written or mental methods
• Division as a gateway to fractions, ratio, and algebraic thinking
• The misconception that calculators replace understanding
• Lessons from EYFS maths and what KS1–2 can learn from early conceptual play

💬 Questions for Listeners

• What’s the biggest barrier to children mastering division in your classroom?
• How do you define success in division — getting the answer right, or understanding the process?
• Are your pupils more confident with sharing or grouping models?

Get in touch at primarymathspodcast@twinkl.co.uk

🧠 Maths of Life

Becky reflects on the maths behind ticket discounts and why a calculator can’t replace mathematical reasoning. From Halloween theatre offers to shopping deals, it’s a real-life reminder that fluency isn’t just speed — it’s knowing what calculation to do, and why.

🪜 Related Episodes

• EYFS Maths with Michelle Windridge – Episode 27
• Curriculum and Assessment Review: Emergency Episode
• AI and Maths Education with Simon Bond – Episode 25