MathsTalk by AMSI Schools

Transformations in 3D: How AMSI approaches new concepts in the ICE-EM textbooks Episode summary

Three-dimensional coordinates and transformations are a significant addition to the Year 8 mathematics curriculum—but how do we introduce them without making 3D geometry feel unnecessarily abstract? In this episode of MathsTalk, AMSI Schools’ Leanne McMahon explores the thinking behind the new Transformations in 3D chapter she authored for the fourth edition of ICE-EM Mathematics Year 8. Beginning with students’ existing understanding of 2D coordinates and transformations, Leanne looks at how teachers can build towards ordered triples, coordinate planes and transformations in three-dimensional space. She discusses the value...

When students ask, “When am I ever going to use this maths?”, real examples can make all the difference. In this special MathsTalk episode, Leanne McMahon previews AMSI’s FREE Industry Days for Teachers, taking place on Thursday 30 July 2026 at Swinburne University of Technology and CSL’s global headquarters. Discover how mathematics supports careers in artificial intelligence, sustainability, business analytics, biotechnology, gem faceting and more, and learn how the day will help secondary mathematics, STEM and careers educators connect classroom learning with real-world pathways. The episode also covers the speaker program, industry tour, professional learning certificate and limited $500 CRT and trav...

In this episode of MathsTalk, Leanne continues the conversation about using textbooks creatively, moving from Years 7 and 8 into the more complex terrain of Years 9 and 10.

While many of the same principles still apply; conceptual understanding, mathematical language, structured lessons and exercises used for thinking rather than just completion, Years 9 and 10 bring their own challenges. Students are working with more demanding content, wider gaps in assumed knowledge, more entrenched mathematical identities, and a stronger need to see relevance in what they are learning.

This episode explores how teachers can use a resource such as the AMSI...

In this solo episode of MathsTalk, Leanne McMahon explores how to use Textbooks creatively in Years 7 and 8, where students are moving from primary habits into more abstract secondary mathematics. The episode focuses on building precise mathematical language, identifying common transition misconceptions, using textbook exercises for concept development rather than simple practice, and structuring mixed-ability lessons around the same core task so all students can engage with the same important mathematics. It also argues for the central role of conceptual understanding in a book-based curriculum, and for teachers being deeply familiar with the curriculum so they can adapt, extend and...

What's in store for the remainder of 2026? A plethora of exciting and engaging podcasts for you mathematical pleasure. Contact us for more ideas:

mathstalk@amsi.org.au

In this episode of MathsTalk, Leanne McMahon is joined by mathematics educator Nadia Abdelal to explore the role of calculators in Years 7–8. This re-released episode tackles a question many schools still debate: when do calculators support learning, and when do they risk getting in the way?

Leanne and Nadia discuss how calculators can reduce cognitive load, improve access to new concepts, and support students who are still building number sense.

They also highlight the importance of intervention, estimation, and equity — reminding us that calculators can help students engage in richer mathematical thinking, but should sit alon...

In this episode of Maths Talk, we introduce an upcoming professional development event tailored for Maths and STEM teachers as well as career practitioners. Scheduled for Tuesday, September 9, 2025, the AMSI Industry Day at Latrobe University, Bendigo, offers engaging sessions from university educators and industry professionals to bridge classroom teaching with real-world applications of mathematics. The event includes impactful talks, networking opportunities, and takeaway resources funded by the Invergowrie Foundation. Teachers will leave with practical examples and lesson plans to inspire students and connect curriculum topics with future careers. Register through the AMSI website and join us for a day...

In this episode of MathsTalk, Leanne McMahon speaks with Dr Hong Xu, author of the Indigenous content for the upcoming AMSI textbook series, and Professor Rowena Ball, leader of the 'Mathematics Without Borders' initiative. Together, they discuss how and why Aboriginal and Torres Strait Islander insights into maths are being incorporated into the Australian Mathematics Curriculum, what that looks like in practice, and how teachers can confidently bring this content into their classrooms.

MathsTalk is proudly sponsored by Texas Instruments Australia. https://education.ti.com/en-au

RESOURCES MENTIONED IN THIS EPISODE:

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In this special Pi Day episode of MathsTalk, host Leanne McMahon, AMSI’s school maths advisor, takes listeners on an engaging journey into the world of Pi. She explains what Pi is and how it is used in basic geometry, explores its irrational and transcendental nature, and discusses its importance in both mathematics and real-world applications. Leanne also shares fun facts about Pi—from ancient approximations to modern Pi recitation contests—and offers a variety of creative activities for teachers and parents to celebrate Pi Day in the classroom.

In this episode of MathsTalk, host Sarah Ramantanis welcomes Leanne McMahon to discuss the newly released AMSI Discipline Report 2024. Leanne highlights key findings, including declining student engagement in mathematics, the critical shortage of qualified maths teachers, and the significant equity gaps affecting disadvantaged and regional schools. We discuss actionable steps for educators, such as fostering real-world relevance in maths, up-skilling teachers through professional development, and promoting higher-level maths participation to prepare students for STEM careers. Leanne also emphasises the role of parents and schools in creating a supportive mathematical culture. Tune in for practical insights, inspiring solutions, and a...

In this episode, host Leanne McMahon sits down with Michael Evans, a renowned figure in mathematics education, to discuss the AMSI ICE-EM textbooks and their evolution. Michael provides an insightful look into the history of these textbooks, which have been instrumental in Australian classrooms for over 20 years. He highlights their unique development process, the collaborative efforts behind them, and their focus on deep understanding rather than rote learning. The episode also delves into the exciting updates coming with the incorporation of the Australian Curriculum Version 9, including algorithmic thinking, Indigenous perspectives, and enhanced online resources. With a strong emphasis on...

In this episode of MathsTalk, Host, Leanne McMahon speaks with Cass Lowry, a PhD candidate researching the identification of high-quality mathematics resources. Cass shares her experiences at major conferences and discusses the need for a framework to help teachers discern effective math resources in the rapidly expanding online space. She highlights the importance of balancing problem-solving and explicit teaching and mentions her current research efforts, including a survey for Australian teachers. Cass also shares her top three maths websites, books and hands-on resources, :

Please help Cass by completing her survey: https://uninewcastle.questionpro.com.au/QMR-survey 

An APR Intern Special

Guest Host, Sarah Ramantanis discusses the positive impact of AMSI’s Australian Postgraduate Research Internship program - APR.Intern, Australia’s only national PhD and Masters by Research internship program spanning all sectors and disciplines.

APR.Intern is the industry engagement arm of the Australian Mathematical Sciences Institute (AMSI), and connects postgraduate research students with industry through short-term placements, empowering students to thrive in a practical research environment. For businesses, APR.Intern is a platform to access Australia’s brightest emerging research talent and accelerate innovation.

Today we are joined...

In this episode of MathsTalk, Leanne interviews Nadia Abdelal, Director of EM Maths Consulting, about her latest blog post that traces two centuries of maths education in Australia. Nadia discusses how Australia's educational reforms were initially influenced by Britain and how certain methodologies, such as the use of concrete manipulatives like Cuisenaire rods, the implementation of entrance and matriculation exams, and open-plan learning spaces, were integrated and evolved over time. The conversation highlights various educational initiatives and the professional development needed for effective teaching. Nadia emphasizes the importance of continuous professional learning and teacher development to improve maths education.<...

In this episode of MathsTalk, host Leanne McMahon discusses the pressing issue of out-of-field teaching in mathematics education. With recent media attention on AMSI's analysis of out-of-field secondary maths teaching and upskilling initiatives in Australia, Leanne explores the complexities of defining out-of-field teaching and its various dimensions, including qualification, specialism, workload, and capability. Drawing from extensive research and insightful anecdotes, she discusses the impact of out-of-field teaching on student learning and offers practical strategies for upskilling teachers, emphasizing the importance of government funding for retraining initiatives. Through engaging discussions and resource recommendations, including the invaluable Out of Field Teaching...

Host, Leanne McMahon, dives into the eternal question: "When am I ever going to use this?" by looking at the diverse career paths open to those who choose to study mathematics at school and beyond. We also highlight an exciting opportunity for teachers: the 2024 Teacher Professional Learning in Industry Day, hosted by AMSI and the Australian Centre for Career Education. This event will connect secondary maths teachers and careers advisors with industry experts to showcase the vast array of study and career pathways available to students who continue to study maths. From data science to finance, technology to engineering...

In 2020, Special guest Dr Catherine Attard released a blog post looking at how teachers and parents can discern between good and not-so-great mathematics resources in this time of information overload. We felt this was timely with the explosion of questionable quality resources from sites  like Teachers-pay-teachers and Twinkle. The highly engaging Marcus Garrett and regular host, Leanne McMahon lead a spirited conversation. They also discuss effective use of technology in Mathematics, the difference between performing and learning in maths and what 'home-schooling' really means.

Podcast notes and resources can be found at www.calculate.org.au. Catherine's Bl...

Host Leanne McMahon welcomes PhD candidate Cassandra Lowry for a lively discussion centred on Cass's presentation at the 2023 Maths Association of Victoria Conference. Formative assessment strategies that are easily implemented in your classroom and can have a huge effect on student learning.

Resources:

Contact us: MathsTalk@amsi.org.au

Twitter (X) @cass_lowry (Cass)  @AMSIschools (MathsTalk)

LinkedIn linkedin.com/in/cassandra-lowry

Ask & Listen vs. Tell & Sell (Article)

Ibarra, H. & Scoular, A. (2019). The leader as coach: How to unleash innovation, energy, and commitment. Harvard Business Review. https://hbr.o...

Welcome to the latest episode of MathsTalk by AMSI schools. In this conversation, Leanne McMahon, the Schools Maths Advisor at AMSI, discusses the vital aspect of great mathematics teaching, making connections. Leanne is joined by Michaela Epstein, the founder and director of Maths Teacher Circles, who challenges conventional thinking in maths education. They explore the importance of focusing on the "big ideas" in maths and how to help students make connections between different mathematical concepts. Michaela provides practical strategies for educators to implement in their classrooms and encourages a more creative and connection-based approach to teaching mathematics. To stay...

In case you missed it last year, we have rereleased the very popular episode in which Vicky Kennard discusses how students can best use the last few weeks before exams to maximise their chances of success. She highlights where students should be aiming to be at this stage and importantly, what to do if they're not there yet.

Share this with every senior maths student, teacher and parent you know!

ICE-EM Textbooks: https://schools.amsi.org.au/ice-em-mathematics-textbooks/

Neuroscience and education: https://www.youcubed.org/neuroscience-education-article/

Interleaving: https://www.edutopia.org...

🎙️ Looking for insightful discussions on the role of calculators in middle school mathematics education? Join us on MathsTalk, hosted by Leanne McMahon. In this episode, Leanne is joined by mathematics education expert Nadia Abdelal to explore the pros and cons of using calculators for students in years 5 to 8. Gain valuable insights into how calculators can enhance understanding and problem-solving skills, as well as the concerns surrounding their potential overreliance. Discover practical strategies for striking the right balance between technology and traditional maths methods. Tune in to MathsTalk, where maths is not just about numbers; it's a journey of discovery! Subsc...

In this much-anticipated episode, host, Leanne McMahon sits down with world-famous maths educator Eddie Woo to try to harness his enthusiasm to inspire us all to be the best maths teacher we can. We discuss what inspires Eddie, how he moved from feeling ‘on the outside’ to where he is today and what he has learned along the way (and from whom). We touch on the perceived dichotomy between direct instruction and learning through problem solving and mention other pedagogies that may have been set up as dichotomous, but that all contribute to the rich tapestry of Maths teaching. Fina...

Host Leanne McMahon is so excited to announce our latest guest, Eddie Woo!

This is just a taster of what is to come in the first week of August 2023!

Check out https://misterwootube.com/

and https://misterwootube.com/2020/03/18/books-tv-2/

to get ready for  the discussion ahead.

Host, Leanne McMahon welcomes Maths consultant and PhD candidate, Lynelle Campbell to the podcast this week. Lynelle is looking at numeracy intervention strategies for young children and has come up with a list of 7 strategies that can help students who are struggling to get maths. The importance of 'Number Sense' is reiterated many times and the ideas are easily used in classrooms from early years right through to secondary.

Lynelle's website: https://lynzeducation.com.au/

Contact us: MathsTalk@amsi.org.au

The Number Sense Podcast: https://mathstalk.podbean.com/e/developing-number-sense-in-young-children/

A...

It's time to revisit the importance of using games in maths classes, even when we're not locked up! This was a podcast originally released in the thick of home based learning in 2020.

Marcus Garrett speaks with popular educator and ChooseMATHS award winner, Michael Minas about games and strategies that make maths classes fun and educational. Michael provides parents, caregivers and teachers with both encouragement and some great, practical tips about how to engage - and focus - children and young people.

Related Links:

In this must-listen episode, host Leanne McMahon talks to Professor Chris Matthews from the Aboriginal and Torres Strait Islander Mathematics Alliance (ATSIMA) about the Aboriginal and Torres Strait Islander cultural cross-curriculum priority inclusion in the new Maths Curriculum in Australian schools. Chris shares his mathematical and cultural history and challenges teachers to examine how the concept of Terra Nullius has affected the role of both indigenous and non-indigenous Australians today. He discusses the importance of culture to all students and looks at some relevant contexts and ways in which teachers can include the cultural priority in their planning.

Welcome to MathsTalk, the podcast hosted by Leanne McMahon, with special guest, the ever popular Nadia Abdelal, a highly respected Maths consultant from EM Maths Consulting. In this episode, Nadia shares insights on assessment, including triangulation, great assessment tasks, rubrics, and more. As educators, we know that assessment is not just about testing, but also about gathering meaningful data to inform our instructional practices. Nadia will shed light on how triangulation, which involves using multiple sources of evidence to assess student learning, can provide a more comprehensive picture of students' mathematical understanding. She will also discuss the importance of...

A replay of the special episode to celebrate International Maths Day. Host Leanne McMahon talks to AMSI CHOOSEMATHS award winners Elizabeth Dewar and Ryan Jellie. We discuss the changes that they've made to the teaching of Maths at Boneo Primary School and how these changes have affected their students. Former AMSI School Advisor Marcus Garrett joins Leanne in a road trip to Boneo to talk to the students and hear about their interpretation of 'Maths is everywhere.'

Host Leanne McMahon has a long awaited discussion with Maths educator and former AMSI Schools Mathematics Advisor Cass Lowry about great Maths activities that are flexible enough to be done in the classroom, in hybrid mode or via remote learning. This conversation took place when schools were moving to remote learning daily and teachers needed to be able to switch easily and without taking hours in preparation.

The activities are as timely today as they were then and Cass gives some fabulous ideas on how they can be used in both primary and secondary settings.

...

Host, Leanne McMahon catches up with highly experienced mathematics educator and founder of  Maths Teacher Circles in Australia, Michaela Epstein to discuss how Problem Solving in classrooms of all year levels can be effective and collaborative. We discuss how teachers can go about incorporating problem solving into their classroom practice and how to structure these activities. We also look at the false dichotomy between problem solving and explicit instruction and why each of these has its place in the contemporary Maths classroom.

Resources:

Michaela's website: https://www.michaelaepstein.com.au/ 

Other links discussed by...

The Grattan Institute recently released a report looking at the benefits of a coordinated, whole-school approach to planning, which carefully sequences learning of key knowledge and skills across subjects and year levels. In this episode, Leanne McMahon (AMSI) and Nadia Abdelal from EM Maths discuss the significance of this report and how the recommendations would play out in schools. Naturally we focus on Mathematics, but this is a discussion that belongs across all learning areas.

The report can be found here: https://grattan.edu.au/wp-content/uploads/2022/10/Ending-the-lesson-lottery-Grattan-Report.pdf

Nadia can be contacted here: https...

After feedback from our audience, we have cleaned up the audio for this episode to make it infinitely more listenable!

Host Leanne McMahon sits down to talk with Kerryn Sandford, a mathematics educator and principal of a secondary school in Melbourne, about her thoughts on how we can ensure our students achieve success in mathematics.

This episode sponsored by AMSI's own ICE-EM textbook range: https://schools.amsi.org.au/ice-em-mathematics-textbooks/ 

We cover all manner of topics that she mentions in her article in the latest edition of MAV's "Common Denominator" which can be a...

Host Leanne McMahon talks to Teacher education expert and former AMSI Outreach Officer, Helen Booth about the 'elephant in the room' for many primary teachers, Maths Anxiety. We look at its origins, how it may manifest itself and the effect it can have on our students. Secondary school maths teachers will also be interested in this topic, as they may have remnants of MA themselves, or could be asked to work with out of field colleagues who carry the burden.

Resources:

ICE-EM Textbooks: https://schools.amsi.org.au/ice-em-mathematics-textbooks/

Maths Anxiety paper used...

In our special episode aimed at Senior Mathematics students and their teachers, host, Leanne McMahon talks to the highly respected mathematics educator Vicky Kennard about how these students can use the last few weeks before the exams to maximise their chances of success. We look at where you should be at this stage and very importantly what to do if you're not there yet.

ICE-EM Textbooks: https://schools.amsi.org.au/ice-em-mathematics-textbooks/

Neuroscience and education: https://www.youcubed.org/neuroscience-education-article/

Interleaving: https://www.edutopia.org/article/how-use-interleaving-foster-deeper-learning

Pomodoro Method: https://todoist...

This is the first in a two part series, directed at all who teach and learn Mathematics. Host, Helen Booth talks with respected educator Vicky Kennard about the science of learning maths and how this can be put into practice by both teachers and students. They delve into study methods, learning theories, growth mindset and a plethora of other aspects of Maths learning.  This will be a great episode to listen to before next week's podcast that will be directed at senior students and how they can best use the last couple of months before exams.

Resources:

Host, Leanne McMahon welcomes Marcus Garrett, former MathsTalk host and current Learning Solutions Designer at RMIT Online to discuss the idea that digital mindsets which are underpinned by mathematics, are the key to unlocking opportunities for young people in the jobs market, opportunities in life and also opportunities for the Australian economy.

Deloitte Access Economics and RMIT Online concluded in a report that one of the biggest emerging skill needs for the Australian economy remains digital skills, meaning the data and data interpretation skills that give people the confidence and the capacity to use digital technologies to...

Popular demand sees us re-releasing part 2 of our conceptual understanding podcast, one of the most downloaded of all of our episodes. In it, Nadia and Leanne continue their discussion about teaching mathematics for conceptual understanding. Today they delve into how Patterns and Algebra can be taught conceptually and then they get practical; discussing the thought process that goes into planning units.

For suggestions comments and ideas, please contact us at @AMSISchools on Twitter or Choosemaths@amsi.org.au

Resources from the podcast:

Nadia's website (EM Maths): https://www.emmaths.com.au/ 

w...

By popular demand, we bring you Maths consultant Nadia Abdelal, talking in 2021 about the importance of teaching for conceptual understanding, and why it needs to be extended into secondary classes. This is a must-listen for primary and secondary teachers alike and will hopefully stimulate some real discussion in staffrooms across Australia and the world. It was the first in a 2-part series on conceptual understanding in Mathematics and you can continue our discussion with a dive into teaching algebra for conceptual understanding by going to the episode from March 2021, clicking here https://open.spotify.com/episode/42tZlWUtCozw6wTyHbDNza?si=7...

Host Leanne McMahon sits down to talk with Kerryn Sandford, a mathematics educator and principal of a secondary school in Melbourne, about her thoughts on how we can ensure our students achieve success in mathematics.

This episode sponsored by AMSI's own ICE-EM textbook range: https://schools.amsi.org.au/ice-em-mathematics-textbooks/ 

We cover all manner of topics that she mentions in her article in the latest edition of MAV's "Common Denominator" which can be accessed here:

https://www.mav.vic.edu.au/Services-and-News/Common-Denominator-Magazine

Other topics covered are:

Out of F...

Happy New year and welcome to 2022!

In our first episode for the year, host Leanne McMahon talks to educator and digital guru Greg O'Connor from Texthelp. Greg poses some of the problems he sees in how our students are learning maths and suggests some solutions for overcoming these issues. Contact us at www.calculate.org.au or https://www.facebook.com/amsischools 

Resources:

Contact Greg:

Email: g.oconnor@texthelp.com

Twitter @gregoconnor

Webpage: gregoryoconnor.com

Texthelp

www.texthelp.com

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