The NCETM Maths Podcast

In this episode of the NCETM Maths Podcast, the NCETM’s Gaynor Bahan talks with Professor Dame Allison Peacock, Chief Executive of the Chartered College of Teaching, about the importance of teacher collaboration, professional learning, and the current state and future vision of teaching as a respected profession. They discuss the Chartered College's recent report on revisiting teacher professionalism and how initiatives like the Maths Hubs Programme contribute to building a culture of trust, ethics and knowledge sharing among teachers. A transcript (PDF) of this episode is available to download. Show notes Taking part in the discussion: Professor Dame Alison Peacock, Chief Executive, Chartered College of Teaching Gaynor Bahan, Assistant Director for System Leadership, NCETM Julia Thomson, Senior Communications and Marketing Manager, NCETM. Episode chapters 00:00 Introduction to the NCETM Maths Podcast 00:59 Exploring teacher professionalism 02:15 The Chartered College of Teaching 03:27 Domains of teacher professionalism 12:19 Challenges and opportunities in teacher professionalism 16:25 The role of collaboration in professional development 23:26 Empowering teachers through leadership roles 29:14 The importance of professional learning and recognition 40:00 Final reflections on teacher professionalism. Useful links Chartered College of Teaching Report – Revisiting the Notion of Teacher Professionalism (Müller & Cook, May 2024) The Chartered College of Teaching Beyond the maths classroom: how trusts can support teacher professionalism (NCETM, October 2024) Explore previous episodes of the NCETM podcast in our archive.

In this episode of the NCETM Maths Podcast, Jane Hawkins, the NCETM’s Assistant Director for Secondary, speaks to Geoff Barton, chair of the Oracy Education Commission. The conversation dives into the importance of oracy in the classroom, especially in mathematics, exploring how it can transform learning and teaching. They discuss the current state of oracy education, its potential to close the disadvantage attainment gap, and specific recommendations for embedding oracy into professional development for teachers. Geoff references valuable insights and case studies, including contributions from experts such as Tim Oates and David Thomas, as well as practical examples from schools successfully implementing oracy strategies. A transcript (PDF) of this episode is available to download. audio file here Show notes Taking part in the discussion: Geoff Barton, Chair of the Oracy Education Commission Jane Hawkins, Assistant Director for Secondary Mathematics, NCETM Julia Thomson, Senior Communications and Marketing Manager, NCETM. Episode chapters 00:00 Introduction to the NCETM Maths Podcast 01:22 Meet Jane Hawkins and Geoff Barton 01:50 The importance of oracy in education 03:19 Disciplinary oracy in mathematics 04:17 Revelations about oracy from maths 06:49 Challenges and solutions in teaching maths 12:13 The role of teachers in oracy-rich classrooms 15:04 The impact of oracy on student behaviour and engagement 19:53 Assessment and the future of oracy 27:48 Oracy and disadvantaged pupils 36:46 Teacher professional development in oracy 49:46 Conclusion and further resources. Useful links Oracy Education Commission report – We need to talk (October 2024) The Commission Conversations – Tim Oates The Commission Conversations – David Thomas Discover more from the Commission Conversations podcast archive NCETM feature: We need to talk (about maths) (February 2025) Maths Hubs Research and Innovation Work Groups Bullock Report: A Language for Life (HMSO, 1975) EEF Secondary Maths Practice Review (June 2024) The NCETM Maths Podcast – Oracy in the maths classroom NCETM: The role of oracy in the context of teaching for mastery All-Party Parliamentary Group Report, Speak for Change Voice 21 Oracy Framework TES article: Neil Mercer: Oracy is still not properly understood (May 2025) Explore previous episodes of the NCETM podcast in our archive.

In this episode, the NCETM’s Dr Jen Shearman, Paul Rowlandson and Sue Evans discuss the upcoming EEF-funded trials of two important Maths Hubs programmes in 2025/26. The conversation explores the role of external evaluation, the challenges of conducting randomised controlled trials (RCTs), and what the findings could mean for maths education. A transcript (PDF) of this episode is available to download. Show notes Taking part in the discussion: Jen Shearman, Director for Evaluation and Impact, NCETM Sue Evans, Assistant Director for Primary, NCETM Paul Rowlandson, Assistant Director for School and Professional Development, NCETM Julia Thomson, Senior Communications and Marketing Manager, NCETM. Episode chapters 00:00 Introduction and welcome 01:12 Meet the team and overview of the EEF trials 01:57 Understanding the EEF and its role 03:31 The NCETM's involvement with the EEF 06:11 Introduction to the SKTM Secondary Non-specialist Teachers Programme 09:28 Introduction to the Mastering Number at Reception and KS1 Programme 12:02 Challenges in conducting the trials 22:01 Hopes and expectations from the trials 31:04 Conclusion and how to get involved. Useful links Specialist Knowledge for Teaching Mathematics Secondary Non-specialist Teachers Programme Mastering Number at Reception and KS1 Mastering Number at KS2 Blog post on the EEF trials: Going for gold standard Evaluating our programmes in 2025/26 EEF trial of the Secondary Non-specialist Teachers SKTM Programme EEF trial of the Mastering Number at Reception and KS1 Programme TIMMS 2023 Report Coordinating mathematical success: the mathematics subject report (2023) Explore previous episodes of the NCETM podcast in our archive.

In this episode, the NCETM’s Dr. Jen Shearman and Carol Knights discuss the EEF’s Secondary maths practice review. The review identifies some of the challenges facing leaders of maths in English schools, including the national shortage of maths teachers, the widening gap between disadvantaged students and their peers, the need for greater focus on students in KS3, and the ways maths departments are approaching these challenges. Jen and Carol also touch upon the implications for the NCETM and the Maths Hubs Programme, and the projects underway to address the issues highlighted in the review. A transcript (PDF) of this episode is available to download. Show notes Taking part in the discussion: Carol Knights, Director for Secondary Maths, NCETM Dr. Jen Shearman, Director for Evaluation and Impact, NCETM Julia Thomson, Senior Communications and Marketing Manager, NCETM. Episode chapters 00:00 Introduction and welcome 01:19 Overview of the EEF Secondary maths practice review 03:02 Key findings: teacher skills and expertise 04:24 Addressing the shortage of maths teachers 05:11 Impact of COVID on disadvantaged students 07:35 The importance of mathematical talk 10:01 Integrating problem-solving in maths lessons 13:02 Use of representations and manipulatives in secondary maths 16:16 NCETM and Maths Hubs professional development 18:39 Future directions and recommendations 22:43 Conclusion and final thoughts. Useful links EEF Secondary maths practice review (2024) Maths Hubs Securing Foundations in Year 7 project Maths Hubs Secondary Non-specialist Teachers (SKTM) Programme Maths Hubs Years 5-8 Continuity project Oracy Education Commission We Need to Talk (2024) Ofsted Coordinating Mathematical Success: the mathematics subject report (2023). Explore previous episodes of the NCETM podcast in our archive.

In this episode, we talk to Liz Woodham, Primary Coordinator at NRICH, about the Problem-solving Schools initiative and its aims to support the development of reasoning and problem-solving skills for pupils and students from Reception to post-16. Liz shares insights into the initiative's process, including the use of webinars and rich tasks to support schools, and we also look at the relationship between problem-solving and reasoning and their importance in a well-rounded maths education. A transcript (PDF) of this episode is available to download. audio file Show notes Taking part in the discussion: Liz Woodham, Primary Coordinator, NRICH, University of Cambridge Julia Thomson, Senior Communications and Marketing Manager, NCETM. Episode chapters 00:00 Introduction 04:00 Problem-solving Schools initiative 05:08 The Kilpatrick Rope Model 08:39 The Five Big Ideas in Teaching for Mastery 10:26 Framework and goals of the Problem-solving Schools initiative 17:22 ‘NRICH-style’ problems and SATs-style problems 20:05 Developing a ‘productive disposition’ 22:16 Making time for problem-solving 26:12 What is reasoning and problem-solving? 29:52 Exploring and noticing 37:26 Conclusion and how to get involved. Useful links NRICH Problem-solving Schools initiative NRICH Kilpatrick Rope Model NRICH game mentioned in podcast: Make 37 Previous NCETM Maths Podcast discussion with NRICH: Episode 77 - Maths Games Mentioned by Julia: Five Big Ideas in Teaching for Mastery Feature on RIWGs: Research and Innovation in the Maths Hubs Network Explore previous episodes of the NCETM podcast in our archive.

In Part 2 of our episode on oracy with Jane Hawkins from the NCETM and Kathleen McBride from Voice 21, we explore the impact of the Maths Hubs’ Research and Innovation Work Groups (RIWGs), strategies for implementing oracy in both primary and secondary education, and the importance of oracy for enhancing student learning and engagement. A transcript (PDF) of this episode is available to download. Show notes Taking part in the discussion: Kathleen McBride, Senior Learning and Innovation Lead, Voice 21 Jane Hawkins, Assistant Director for Secondary, NCETM, and Assistant Maths Hub Lead, Jurassic Maths Hub Julia Thomson, Communications Manager, NCETM. Episode chapters 00:06 Welcome and introductions 00:51 Research and Innovation Work Groups (RIWGs) 02:28 Impact of Oracy RIWGs 04:41 Talk strategies 08:25 What does successful oracy look like? 10:58 The teacher’s role 12:18 Different types of talk 18:35 Oracy in secondary education 22:17 Ideas for teachers 25:44 Misconceptions about oracy 28:52 Resources and further reading 30:31 Conclusion. Useful links Listen to Part 1 of this podcast episode All-Party Parliamentary Group Report: Speak for Change (2021) Voice 21 website Voice 21 Talk Tactics and How to develop independent student discussion Voice 21 Talking Point publication (2023) Voice 21 Oracy Benchmarks report (2019) Voice 21 Impact Report (2022-23) NCETM Primary Curriculum Prioritisation materials NCETM Checkpoints for KS3 Interthinking: Putting Talk to Work by Karen Littleton & Neil Mercer (Routledge, 2013) Talking Points: Discussion Activities in the Primary Classroom by Lynn Dawes (Routledge, 2012) Find your local Maths Hub Maths Hubs Research and Innovation Work Groups (RIWGs) Explore previous episodes of the NCETM podcast in our archive The NCETM Maths Podcast on Instagram.

In Part 1 of our discussion with Kathleen McBride from Voice 21 and Jane Hawkins from the NCETM’s Secondary Team and Jurassic Maths Hub, we discuss the definition of oracy, its significance for students' mathematical development, behaviour and overall well-being, and the role of Research and Innovation Work Groups (RIWGs) in exploring oracy's impact in classrooms. We also take a look at Voice 21’s Oracy Framework for schools and teachers. A transcript (PDF) of this episode is available to download. Show notes Taking part in the discussion: Kathleen McBride, Senior Learning and Innovation Lead, Voice 21 Jane Hawkins, Assistant Director for Secondary, NCETM, and Assistant Maths Hub Lead, Jurassic Maths Hub Julia Thomson, Communications Manager, NCETM. Episode chapters 00:06 Welcome and introductions 03:03 Definition, importance and research 08:58 Oracy challenges and misconceptions 13:01 Oracy Research and Innovation Work Groups 14:21 Oracy’s impact on learning 15:54 Purposeful talk 17:07 The Oracy Framework 19:54 Oracy in the maths classroom 28:33 Reflecting on teaching practice 30:15 Conclusion. Useful links All-Party Parliamentary Group Report Speak for Change Voice 21 Impact Report 2022-2023 Voice 21 Oracy Framework Maths Hubs Research and Innovation Work Groups Bullock Report: A Language for Life (Bullock, 1975) EEF Dialogic Teaching Report (2017, 2022) School 21 and University of Cambridge Oracy Programme Pilot (2013/14) Coordinating Mathematical Success: the mathematics subject report (Ofsted, 2023) Explore previous episodes of the NCETM podcast in our archive The NCETM Maths Podcast on Instagram.

The NCETM Maths Podcast invites teachers, maths experts and anyone with a passion for teaching maths to talk about topics that shine a light on great maths teaching. With ideas for classroom activities, inspirational stories of careers in maths, and lively debates on contemporary topics, the NCETM podcast has something for everyone.  Most episodes are around 20 minutes long – perfect for your journey to work. So, if you like what you hear, hit subscribe to make sure you don’t miss an episode. You can also find The NCETM Maths Podcast on Instagram: @themathspodcast. Be the first to hear about new episodes, and join in with the debate. If there is a topic you would like to hear us discuss on the podcast, let us know at: info@ncetm.org.uk. 

In this episode, Early Career Teachers from primary and secondary schools talk about their experiences of training to teach with Teach First, how they have honed their maths teaching skills, and what they have learned in their first years in the classroom. A transcript (PDF) of this episode is available to download. Show notes Taking part in the discussion: Emily Dixon, Year 1 teacher at Tinsley Meadows Primary Academy, Sheffield Lauren Garrigos, maths teacher at Heartlands High School, Haringey, London Beth Goodliff, Senior Communications Manager, NCETM. Episode chapters 00:06 Introduction and welcome 00:40 Meet the guests 01:14 The journey to becoming a teacher: decisions and backgrounds 02:35 Training with Teach First 06:30 Overcoming challenges in the classroom 09:24 Celebrating successes: positive moments in teaching 12:12 Professional development in the first years of teaching 14:22 Advice. Useful links Teach First teacher training programme Specialist Knowledge for Teaching Mathematics: Primary Early Career Teachers Programme Specialist Knowledge for Teaching Mathematics: Secondary Early Career Teachers Programme Teaching for Mastery Explore previous episodes of the NCETM podcast in our archive The NCETM Maths Podcast on Instagram.

In this episode of the podcast, Rebecca and Sue explore the foundations of doubles in Reception and discuss how this concept is built on in KS1 and beyond. Having both been teachers in Early Years or KS1, they reflect on their own experiences and share practical tips for the classroom. A transcript (PDF) of this episode is available to download. Show notes Taking part in the discussion: Sue Evans, NCETM Assistant Director for Primary, and former primary teacher Rebecca Fisher, NCETM Communications Manager, and former Early Years teacher Episode chapters 00:06 Introduction and welcome 01:28 What’s so important about doubles 04:01 What experiences do children need at the early stages? 08:28 Exploring representations in Reception 14:53 Doubles in continuous provision 19:18 What does this look like in KS1? 27:12 How your local Maths Hub can help and final thoughts. Useful links Images referred to in this episode Find your local Maths Hub The Early Years section of our website Mastering Number at Reception and KS1 ‘They can see it straight away’: the impact of Mastering Number Explore previous episodes of the NCETM podcast in our archive The NCETM Maths Podcast on Instagram.

In this episode of the podcast, we speak to Cat Eadle, a teacher, dyscalculia specialist and co-founder of the Dyscalculia Network. Our conversation explores what dyscalculia is, how it differs from other maths difficulties, and how teachers can facilitate an early diagnosis. We also discuss the importance of teaching ‘maths for life’ skills, dyscalculia in the secondary maths classroom, and how teaching for mastery approaches can support dyscalculic students of all ages to do and enjoy maths. A transcript (PDF) of this episode is available to download. Show notes Taking part in the discussion: Cat Eadle, The Dyscalculia Network Julia Thomson, Communications Manager, NCETM. Episode chapters 00:06 Introduction and welcome 00:18 Understanding dyscalculia and its impact 01:03 Cat Eadle: dyscalculia specialist 01:43 The birth of the Dyscalculia Network 03:13 Identifying dyscalculia: signs and symptoms 05:14 The importance of dyscalculia diagnosis 08:03 Supporting students with dyscalculia 10:40 The prevalence of dyscalculia 14:14 The mastery approach to teaching maths 16:42 The struggles of adults with dyscalculia 19:56 Resources, further reading and events 21:53 Conclusion. Useful links Dyscalculia Network website Dyscalculia Awareness Day 2024: three separate online events for parents (23/02/24), adults (29/02/24) and educators (01/03/24) The Dyscalculia Show 2024 at Birmingham NEC on 15/03/24 and 16/03/24 The Dyscalculia Assessment by Jane Emerson and Patricia Babtie (2013, Bloomsbury) The Dyscalculia Solution: Teaching Number Sense by Jane Emerson and Patricia Babtie (2014, Bloomsbury) Ronit Bird website: games for dyscalculic learners Steve Chinn website Judy Hornigold website The Maths and Dyscalculia Assessment by Robert Jennings and Jane Emerson (available for pre-order, published on 18/07/24, Jessica Kingsley Publishers) Explore previous episodes of the NCETM podcast in our archive.

In this third and final part of this podcast episode, we conclude our conversation with Professors Alf Coles and Nathalie Sinclair about the dogmas they address in their book, I Can’t Do Maths! Why children say it and how to make a difference. In this part of the conversation, we put your questions, shared with us on social media, to Alf and Nathalie, and discuss topics including maths anxiety and enjoyment in the UK compared to other nations, how to support and encourage children who struggle with maths and how to respond when children ask, ‘When will I ever need this again?’. A transcript (PDF) of this episode is available to download. Show notes Taking part in the discussion: Professor Alf Coles, University of Bristol Professor Nathalie Sinclair, Simon Fraser University, British Columbia Julia Thomson, Communications Manager, NCETM. Episode chapters 00:06 - Introduction and welcome 00:39 - Is maths anxiety a global issue? 02:31 - When will I ever need this maths? 09:18 - How parents can support their children 12:33 - The importance of learning maths 16:17 - Conclusion and final thoughts Useful links I Can’t Do Maths! Why children say it and how to make a difference by Professor Alf Coles and Professor Nathalie Sinclair (Bloomsbury, 2022) Vihart, maths YouTuber recommended by Nathalie Sinclair Maths Games with Bad Drawings by Ben Orlin (Little, Brown, 2022) recommended by Nathalie Sinclair Mathematics for Human Flourishing by Francis Su (Yale University Press, 2021) recommended by Nathalie Sinclair Learning Mathematics for an Environmentally Sustainable Future by Karl Bushnell (Association of Teachers of Maths, 2018), mentioned by Alf Coles  NCETM Primary Mastery Professional Development Materials Gattegno’s ‘numbers as lengths’ as mentioned by Alf Coles, Working with Rods and Why (Association of Teachers of Mathematics, 2017) I Can't Do Maths - Podcast Episode 78 - Part 1 I Can't Do Maths - Podcast Episode 78 - Part 2 Explore previous episodes of the NCETM podcast in our archive.

In Part 2 of Episode 78 of the NCETM Maths Podcast, Professors Alf Coles and Nathalie Sinclair continue their discussion about the dogmas in maths teaching and learning, with host Julia Thomson. We explore the misconceptions that ‘maths is culture-free’ and that 'maths is for some people and not for others'. We also scrutinise the notion that ‘maths is hard because it is abstract’ and discuss the Concrete, Pictorial, Abstract (CPA) model within mastery and the power of representations in maths. A transcript (PDF) of this episode is available to download. Show notes Taking part in the discussion: Professor Alf Coles, University of Bristol Professor Nathalie Sinclair, Simon Fraser University, British Columbia Julia Thomson, Communications Manager, NCETM. Episode chapters 00:06 - Introduction and welcome 00:32 - Exploring the dogma: maths is culture-free 05:37 - Maths and climate change 07:41 - Debunking the dogma: maths is for some people and not for others 12:48 - The power of representations 17:02 - Algebra in the primary classroom 17:44 - Conclusion and preview for Part 3 Useful links I Can’t Do Maths! Why children say it and how to make a difference by Professor Alf Coles and Professor Nathalie Sinclair (Bloomsbury, 2022)   NCETM Primary Mastery Professional Development Materials Journeys on the Gattegno Tens Chart by Alf Coles, 2014 Learning Mathematics for an environmentally sustainable future by Karl Bushnell (Association of Teachers of Mathematics, 2018) Gattegno’s ‘numbers as lengths’ as mentioned by Alf Coles, Working with Rods and Why (Association of Teachers of Mathematics, 2017) I Can't Do Maths - Podcast Episode 78 - Part 1 Explore previous episodes of the NCETM podcast in our archive.

In this episode, we talk to Professor Alf Coles and Professor Nathalie Sinclair about their book, I Can’t Do Maths! Why children say it and how to make a difference. In the book, Alf and Nathalie identify, unpick and challenge some of the most commonly-held beliefs about maths teaching and learning. In Part 1 of our conversation, we explore the background to the book and the first two dogmas, or myths, about maths education that Alf and Nathalie explore in the book. A transcript (PDF) of this episode is available to download.   Show notes Taking part in the discussion: Professor Alf Coles, University of Bristol Professor Nathalie Sinclair, Simon Fraser University, British Columbia Julia Thomson, Communications Manager, NCETM. Episode chapters 00:05 - Introduction to part 1 01:02 - Meet Professors Alf Coles and Nathalie Sinclair 02:06 - Unpacking the concept of ‘dogmas’ in maths education 05:52 - Exploring the first dogma: maths is a building-block subject 11:51 - Challenging the second dogma: maths is always right or wrong 16:58 - Conclusion and preview of Part 2. Useful links I Can’t Do Maths! Why children say it and how to make a difference by Professor Alf Coles and Professor Nathalie Sinclair (Bloomsbury, 2022)   NCETM Primary Mastery Professional Development Materials NCETM Curriculum Prioritisation in Primary Maths Journeys on the Gattegno Tens Chart by Alf Coles, 2014 Explore previous episodes of the NCETM podcast in our archive.

In Part 2 of our discussion with Dr Ems Lord and Liz Woodham from NRICH and Grace Coker from the EEF, we explore how games can facilitate collaborative problem-solving, encourage parental engagement and make homework more enjoyable. A transcript (PDF) of this episode is available to download. Show notes Taking part in the discussion: Ems Lord, Director of NRICH, University of Cambridge Liz Woodham, Primary Coordinator, NRICH, University of Cambridge Grace Coker, Maths Content Specialist, Education Endowment Foundation (EEF) Julia Thomson, Communications Manager, NCETM. Episode chapters 00:05 - Introduction 00:59 - Exploring the importance of collaboration in maths 03:20 - Introducing maths games: NIM-7 and Got It 05:53 - More game suggestions and utilising classroom resources 07:51 - Encouraging parental involvement in maths practice 10:08 - Solving Together: a homework project for secondary schools 16:58 - Opportunities for new learning through games 17:56 - Top tips for using games in the classroom 19:54 - Conclusion Useful links EEF Improving Mathematics in the Early Years and Key Stage 1 EEF Working with Parents to Support Children’s Learning Making Maths Visual and Tactile by Judy Hornigold (SEN Books, 2016) NRICH games mentioned in podcast: Got It and Nim-7 Number Hive, mentioned by Grace Coker NRICH Secondary parental engagement project: Solving Together NRICH Primary games NRICH Secondary games Explore previous episodes of the NCETM podcast in our archive.

In Part 1 of this discussion with Dr Ems Lord and Liz Woodham from NRICH and Grace Coker from the EEF, we explore the many benefits of using maths games in both primary and secondary classrooms. A transcript (PDF) of this episode is available to download. Show notes Taking part in the discussion: Ems Lord, Director of NRICH, University of Cambridge Liz Woodham, Primary Coordinator, NRICH, University of Cambridge Grace Coker, Maths Content Specialist, Education Endowment Foundation (EEF) Julia Thomson, Communications Manager, NCETM. Episode chapters 00:06 - Introduction 00:27 - Understanding the role of maths games in education 00:40 - Context and background: NRICH and the EEF 02:56 - The importance of maths games in classroom 04:55 - Advice from NRICH on effective use of maths games 08:14 - Common misconceptions about using games in the classroom 11:33 - The evidence and research on the use of maths games 15:06 - The concept of embodied learning in maths education 17:00 - Using games to facilitate and develop mathematical talk 18:58 - Conclusion and teaser for Part 2. Useful links EEF Improving Mathematics in the Early Years and Key Stage 1 EEF Blog: Let’s Get Physical! NRICH games mentioned in podcast: Got It and Nim-7 NRICH Secondary parental engagement project: Solving Together NRICH Primary games NRICH Secondary games NCETM Checkpoints Explore previous episodes of the NCETM podcast in our archive.

Find out about the benefits of getting involved in the work of your local Maths Hub as a participating school, but also what the impact is of having some of your staff become Local Leaders of Maths Education (LLME). A transcript (PDF) of this episode is available to download. Show notes Taking part in the discussion: Sarah Smith, Headteacher Advocate and Executive Headteacher at St Cuthbert's Catholic Academy and Christ the King Catholic Academy in Blackpool Gabriella May, Primary Mastery Specialist, LLME, head of maths, and teacher at St Cuthbert's Catholic Academy in Blackpool Rebecca Longworth, Communications Manager at the NCETM. Episode chapters 00.07 – Introduction 02.40 – The school's mastery journey and the benefit to pupils 06.38 – Hosting Mastering Number showcase sessions 09.02 – The impact on your school when a teacher becomes an LLME 12.12 – What an LLME does and how you can balance the commitment with your classroom teaching role 17.16 – The benefit to your school in having an LLME 20.00 – Advice for schools and teachers Useful links Primary Mastery Specialists Maths Hubs Teaching for Mastery Explore previous episodes of the NCETM podcast in our archive.

Associate Professor at the University of Warwick, Sue Johnston-Wilder, discusses the prevalence of anxiety in our maths classrooms. A transcript (PDF) of this episode is available to download. Show notes Taking part in the discussion: Sue Johnston-Wilder, Associate Professor of Mathematics Education at the University of Warwick and co-founder of the international Mathematical Resilience Network Rebecca Longworth, Communications Manager at the NCETM. Episode chapters 01.06 – Introduction and background of Sue’s work 04.29 – The brain and maths anxiety 10.34 – Who does maths anxiety affect? 16.00 – What signs to look out for 18.11 – Tips for teachers 23.07 – Where can we learn more about maths anxiety? Final thoughts from Sue Useful links A Toolkit for Teachers and Learners, Parents, Carers and Support Staff: Improving Mathematical Safeguarding and Building Resilience to Increase Effectiveness of Teaching and Learning Mathematics Overcoming Mathematical Helplessness and Developing Mathematical Resilience in Parents: An Illustrative Case Study Addressing Mathematics Anxiety: A Case Study in a High School in Brazil Dan Siegel's Hand Model of the Brain video (YouTube) Explore previous episodes of the NCETM podcast in our archive. Background reading Siegel D (2011) Mindsight: The New Science of Personal Transformation Benson H (2000) The Relaxation Response.

We explore how number lines can be used at KS2 to support children to develop a greater understanding of the linear number system and prepare them for secondary maths. A transcript (PDF) of this episode is available to download. Show notes Taking part in the discussion: Jennifer Ruddock, deputy headteacher, Corrie Primary School, Denton Jordanna Worrall, head of maths, Denton Community College, Denton Julia Morgans, Maths Hub Lead, Turing North West Maths Hub Julia Thomson, Communications Manager at the NCETM. Episode chapters 00:05 – Introduction 02:23 – Why participants in the Work Group focused on the number line 06:25 – Exploring use of the number line at KS2 09:06 – Why drawing and understanding number lines is important at KS3 and beyond 11:20 – The importance of collaboration between KS2 and KS3 for progression 12:40 – How KS2 teachers can prepare children for KS3 maths using number lines 14:44 – Using number lines and the midpoint to support children in rounding 16:14 – Using number lines to find fractions of an hour and solve time problems 18:37 – Using number lines to find equivalent ratio 21:44 – Concluding thoughts on possible uses for number lines in KS2 and KS3 Useful links Issue 35 of Espresso provides useful reading on the number line Number Sense on the Number Line by Woods et al (2017) There are a wealth of activities designed to explore the linear number system, featuring number lines, in the NCETM Ready-to-Progress Criteria Years 5-8 Continuity professional development project Video summary of the research report, Understanding Structured Number Lines, which inspired the focus on number lines taken by Turing North West’s Years 5-8 Continuity Work Groups Find your hub Explore previous episodes of the NCETM podcast in our archive. Diagnostic task Children from Year 5, 6 and 8 classes were asked to draw a number line, either from 1 to 100 or from 50 to 70, with intervals of 10 marked on the line. Teachers observed the spacing of the intervals and paid particular attention to whether children could accurately indicate the location of the midpoint. Diagram The number lines referred to by Jordanna can be viewed on the NCETM website.  

A secondary maths teacher explains the benefits of using algebra tiles, and shares some practical tips. A transcript (PDF) of this episode is available to download. Show notes Taking part in the discussion: Lizi Pepper, secondary maths teacher and KS3 maths lead at Tytherington School, and Secondary Mastery Specialist Becky Donaldson, NCETM Assistant Director for Secondary Beth Goodliff, Senior Communications Manager at the NCETM. Episode chapters 00:34 – Introductions 01:16 – The big picture: why use algebra tiles? 03:39 – Where to start with algebra tiles 09:09 – Evidence that they are impacting on students’ understanding 11:16 – A learning sequence 17:24 – Limitations and benefits of the tiles Useful links Lizi is @mathspeptalk on Twitter Becky is @donaldson_maths on Twitter Lizi’s blog is at https://mathspeptalk.blogspot.com/ NCETM feature: Completing the square NCETM resource: Using mathematical representations at KS3.