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It’s the Thought that Counts: Why Learning to Count Is More Complex Than You Think

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Manage episode 520565612 series 2929726
Content provided by Kieran Mackle. All podcast content including episodes, graphics, and podcast descriptions are uploaded and provided directly by Kieran Mackle or their podcast platform partner. If you believe someone is using your copyrighted work without your permission, you can follow the process outlined here https://podcastplayer.com/legal.

For show notes, links, and a summary episode, sign up for the ⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠Hey! What You Reading For ⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠newsletter. Mondays at 7am BST - https://tdape.beehiiv.com/subscribe

For maths curriculum questions contact us ⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠here⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠ or via [email protected]

Episode 255: In this standing-room-only live session, Kieran explores why learning to count is far more complex than simply reciting “one, two, three”. Drawing on classic work from Piaget and Gellman & Gallistel, alongside more recent research on subitising and early number, he unpacks the web of ideas that sit behind apparently simple counting routines.

Across the episode, Kieran traces a trajectory from basic discrimination of quantity and subitising, through one-to-one correspondence and stable order, into cardinality, abstraction and order irrelevance. Using concrete examples from classrooms, he shows how layout, structure and language can either support or derail learners as they move from “just saying numbers” to genuinely understanding number.

By the end of the episode, you will have a clearer sense of:

  • why some students can chant numbers yet still fail to conserve quantity

  • how subitising connects to later calculation and problem solving

  • what it really means to secure the principles of counting

  • what matters most for learners with the greatest needs

If you teach early number, lead mathematics, or design curriculum, this episode will help you see counting not as a quick hurdle in the early years, but as a rich domain that deserves your most skilled teaching.

  continue reading

271 episodes

Artwork
iconShare
 
Manage episode 520565612 series 2929726
Content provided by Kieran Mackle. All podcast content including episodes, graphics, and podcast descriptions are uploaded and provided directly by Kieran Mackle or their podcast platform partner. If you believe someone is using your copyrighted work without your permission, you can follow the process outlined here https://podcastplayer.com/legal.

For show notes, links, and a summary episode, sign up for the ⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠Hey! What You Reading For ⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠newsletter. Mondays at 7am BST - https://tdape.beehiiv.com/subscribe

For maths curriculum questions contact us ⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠here⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠ or via [email protected]

Episode 255: In this standing-room-only live session, Kieran explores why learning to count is far more complex than simply reciting “one, two, three”. Drawing on classic work from Piaget and Gellman & Gallistel, alongside more recent research on subitising and early number, he unpacks the web of ideas that sit behind apparently simple counting routines.

Across the episode, Kieran traces a trajectory from basic discrimination of quantity and subitising, through one-to-one correspondence and stable order, into cardinality, abstraction and order irrelevance. Using concrete examples from classrooms, he shows how layout, structure and language can either support or derail learners as they move from “just saying numbers” to genuinely understanding number.

By the end of the episode, you will have a clearer sense of:

  • why some students can chant numbers yet still fail to conserve quantity

  • how subitising connects to later calculation and problem solving

  • what it really means to secure the principles of counting

  • what matters most for learners with the greatest needs

If you teach early number, lead mathematics, or design curriculum, this episode will help you see counting not as a quick hurdle in the early years, but as a rich domain that deserves your most skilled teaching.

  continue reading

271 episodes

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