MathsTalk by AMSI Schools: Recent Episodes
AMSI Schools
MathsTalk by AMSI Schools – where conversations in maths become part of your professional learning practice.
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 travel bursaries available to Victorian teachers. There is also a day at Latrobe University, Albury/Wodonga Campus on 10th September.
Links and resourcesAttend the Industry DayAMSI Industry Day for Teachers—event information and speaker program
https://amsi.org.au/amsi-industry-day-for-teachers/
Register for the Melbourne Industry Day
https://www.tfaforms.com/5225482
AMSI Industry Day invitation and event details
https://australianmathematicalsciencesinstitutes.createsend.com/t/ViewEmail/r/C2A8887C1D5D3A052540EF23F30FEDED/C67FD2F38AC4859C/text/?context=BE1559E32AC7F640D744A813E2B67A32&previewAll=1&print=1&source=PrintPreview&tx=0
CRT and travel bursary enquiries
enquiries@amsi.org.au
Event partners and featured organisationsSwinburne University of Technology—Applied Mathematics
https://www.swinburne.edu.au/courses/find-a-course/science/applied-mathematics/
CSL
https://www.csl.com/
Plante
https://www.growplante.com/
Coco the Creator
https://www.cocothecreator.com/
Bunnings careers
https://www.bunnings.com.au/jobs
Mathematical Association of Victoria
https://www.mav.vic.edu.au/Home
Australian Facetors’ Guild
https://www.facetorsguild.com.au/
Classroom and careers resourcesAMSI Mathematics Careers Resources for the Classroom
Lesson plans, presentations, activity sheets and recordings from previous Industry Days for Years 7–10.
https://calculate.org.au/industry-day/
AMSI Careers
Career profiles, videos and information showing where mathematics and statistics can lead.
https://careers.amsi.org.au/
MathsTalk podcast
Access previous MathsTalk episodes and their accompanying resources.
https://calculate.org.au/mathstalk-podcast/
Texas Instruments Teacher Resource Centre
Australian curriculum-aligned classroom activities, webinars and professional learning resources.
https://education.ti.com/en-au/teachers
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 ICE-EM books to support both students who need consolidation and students who are ready for greater challenge. It considers how textbook exercises can be used to reveal structure, diagnose misconceptions, support mathematical communication, and keep mixed-ability classes working around the same important mathematical ideas.
In this episodeLeanne discusses:
- why Years 9 and 10 are not simply “harder Years 7 and 8”
- how older misconceptions can affect the learning of more demanding content
- the importance of mathematical language, reasoning and explanation
- how to use textbook exercises for thinking, not just completion
- why relevance becomes more important in Years 9 and 10
- ways to support mixed-ability classes without watering down the mathematics
- how anxiety, disengagement and behaviour can be connected to students’ mathematical histories
- five planning questions teachers can use when working from the textbook
Reflection questions for teachersWhen planning from the textbook, consider:
- What is the core mathematical idea?
- What prior knowledge is being assumed?
- What misconceptions or avoidance patterns am I likely to meet?
- Which parts of the textbook sequence matter most?
- How can I preserve common mathematical access while supporting a wide range of learners?
Links and resourcesAMSI ICE-EM Mathematics Textbooks
https://schools.amsi.org.au/ice-em-mathematics-textbooks/
AMSI’s ICE-EM Mathematics series covers Years 5–10 and is designed to develop mathematical ideas with depth, support and challenge. (AMSI Schools)
Texas Instruments Australia Teacher Resource Centre
https://education.ti.com/en-au/teachers
Free professional learning and Australian curriculum-aligned resources for classroom technology. (education.ti.com)
Australian Curriculum: Mathematics
https://www.australiancurriculum.edu.au/curriculum-information/understand-this-learning-area/mathematics/
Useful for considering the role of reasoning, problem-solving, fluency, understanding and mathematical communication across F–10. (Australian Curriculum)
AMSI Careers
https://careers.amsi.org.au/
Resources for helping students see where mathematics can lead, including career profiles, videos and real-world applications. (AMSI Careers)
Open Middle
https://www.openmiddle.com/
Problems with a shared starting point and answer, but multiple possible strategies and pathways. (Open Middle® |)
Illustrative Mathematics Tasks
https://tasks.illustrativemathematics.org/
A searchable collection of standards-based mathematical tasks, including middle and high school content. (Illustrative Mathematics)
NRICH Secondary Teacher Resources
https://nrich.maths.org/teachers/secondary
Rich problem-solving tasks and teacher resources organised by topic and age group. (NRICH)
reSolve Maths
https://resolve.edu.au/
Free Australian mathematics resources designed to support inquiry, reasoning and rich mathematical thinking. (reSolve)
SponsorThis episode is brought to you by Texas Instruments Australia. Explore tools, lessons, professional learning and classroom resources at:
https://education.ti.com/australia
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 refine tasks with confidence.
Resources mentioned in the episode include:
- AMSI ICE-EM textbooks will be published by Cambridge later in the year https://schools.amsi.org.au/ice-em-mathematics-textbooks/
- Texas Instruments Australia for teacher resources and professional learning (https://education.ti.com/en-au/teachers?category=professional-development )
- NRICH for rich tasks and problem-solving https://nrich.maths.org/
- Compression https://www.youtube.com/watch?v=ZMmaiaZZeW0
- youcubed for open and creative classroom tasks https://www.youcubed.org/
- GeoGebra for interactive visual exploration https://www.geogebra.org/
- Open Middle for challenging problems that unlock student thinking (Open Middle® |)
- Illustrative Mathematics for problem-based middle years mathematics and collaborative reasoning routines (Illustrative Mathematics K–12 Math)
- University of Melbourne’s decimal misconceptions site for insight into common misconceptions about decimal numbers (extranet.education.unimelb.edu.au)
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 alongside strong teaching of foundational skills.
Relevant links
- MathsTalk podcast: https://calculate.org.au/mathstalk-podcast/
- Texas Instruments Australia: https://education.ti.com/en-au/teachers?category=professional-development
- AMSI maths careers: https://careers.amsi.org.au/
- AMSI Industry Day resources: https://amsi.org.au/amsi-industry-day-for-teachers/
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 of learning and connecting.
Registrations: https://tinyurl.com/AMSBendigoRego
TI Professional Learning:
https://education.ti.com/en-au/resources/getting-started-with-ti-technology
Previous Industry Days: https://amsi.org.au/amsi-industry-day-for-teachers/ (Click on relevant day)
Classroom resources: https://amsi.org.au/2024-teacher-professional-learning-in-industry-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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Xu, H., & Ball, R. (2024). Indigenous Mathematics: From Mainstream Misconceptions to Educational Enrichment. Canadian Journal of Science, Mathematics and Technology Education, 24(2), 160-175. https://doi.org/10.1007/s42330-024-00321-5
-
Mathematics Without Borders: https://www.anu.edu.au/research/research-initiatives/mathematics-without-borders
-
AMSI Textbook Series: https://schools.amsi.org.au
Texas Instruments teacher professional learning: https://education.ti.com/en-au/professional-development/upcoming-pd
Texas Instruments website: https://education.ti.com/en-au/
- Australian Curriculum Aboriginal & Torres Strait Islander Histories & Cultures: https://www.australiancurriculum.edu.au/curriculum-information/understand-this-cross-curriculum-priority/aboriginal-and-torres-strait-islander-histories-and-cultures
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 roadmap to improve maths education across Australia.
Discipline Report: https://amsi.org.au/resources/reports/ (Includes all AMSI reports)
Out of Field teaching report (and others): https://schools.amsi.org.au/publications-and-reports/
Maths lessons including career context: https://calculate.org.au/industry-day/
EM Maths Consulting: https://www.emmaths.com.au/
Sheila Griffin Maths: https://sheilagriffinmaths.com.au/
Contact Leanne: Leanne@amsi.org.au
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 support for teachers, this episode is a must-listen for educators looking to maximize the potential of these innovative textbooks in their classrooms.
Resources:
Textbook information: https://schools.amsi.org.au/publications_category/publications/textbooks/
Textbook samples and ordering: https://cambridge.edu.au/iceem
AMSI online resources:
Calculate: https://calculate.org.au/
AMSI student and teacher modules: https://calculate.org.au/amsi-modules/
Classroom resources:
- Number and algebra: https://calculate.org.au/number-and-algebra/
- Measurement and Geometry: https://calculate.org.au/measurement-and-geometry/
- Units of work: https://calculate.org.au/units-of-work/
- Games: https://calculate.org.au/games/
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
2024 MANSW Annual Conference
3-day event: 30 September - 2 October
Twin Towns Tweed Heads
Theme: Teaching for, about and through problem solving
Keynote: Amie Albrecht
https://www.mansw.nsw.edu.au/events/category/2024-mansw-annual-conference
Websites:
Steve Wyborney's blog https://www.stevewyborney.com
LoveMaths by Michael Minas: http://www.lovemaths.com.au
OpenMiddle by Robert Kaplinsky. https://www.openmiddle.com
Books:
Mathematics Assessment for Learning: Rich tasks and Work Samples by Ann Downton, Rose Knight, Doug Clarke and Gerard Lewis
Rosenshine's Principles in Action by Tom Sherington
Chasing Rabbits: A Curious Guide to a Lifetime of Mathematical Wellness by Sunil Singh
Teaching Mathematics through Story Books byt Sheila Griffin and Dr Paul Swan https://drpaulswan.com.au/shop/teaching-mathematics-through-story-books-1-f-1/
EMMaths Virtual Summit: https://www.emmaths.com.au/events
Amplify Polypad: https://polypad.amplify.com/
Cass's Pattern blocks presentation: https://bit.ly/ICME-15
Todays episode discusses the positive impact of AMSI’s Australian Postgraduate Research Internship program (APR.Intern for short). APR.Intern is 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 by APR Intern Alejandro Casar Berazaluce and Angus Maiden, Data Scientist Technical Lead, StrongRoom AI. This episode takes a deep dive into the Alex’s APR internship at Strongroom Ai and discusses the broader impact of completing a PhD internship in mathematical sciences ecosystem. This episode explores mathematics Careers at Strongroom AI for mathematics students, the benefits of a PhD internship and the current state of the Mathematical Sciences Industry.
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.
Contact us: MathsTalk@amsi.org.au
Contact Nadia: https://www.emmaths.com.au/
Blog post: https://www.emmaths.com.au/blog/tracing-two-centuries-of-maths-education-in-australia
Cuisenaire activities: https://calculate.org.au/2020/01/21/cuisenaire-rods/
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 Toolkit podcast, McMahon aims to ignite a conversation and provide actionable solutions to enhance the quality of mathematics education across Australia.
Resources:
AMSI Paper: https://amsi.org.au/?publications=relieving-out-of-field-teaching-in-australian-secondary-mathematics
Podcast Out-of-Field Toolkit: Margaret Paton: https://open.spotify.com/show/5ktSjWBqd3SgmeuInYtzGx?si=fb4ffc1419e64407
Hobbs, L., Campbell, C., Delaney, s., Speldewinde, C. & Lai, J. (2020). Defining and mapping out-of-field
teaching in Victorian government schools. Deakin University Retrieved from
https://static1.squarespace.com/static/57f5c6e0414fb53f7ae208fc/t/61727df5c5216e3ba4565c
48/1634893310963/TOOF+Mapping+Report+Hobbs+et+al+2020_Definitions+only.pdf
Ní Ríordáin, M., Paolucci, C., & O' Dwyer, L. M. (2017). An examination of the professional development
needs of out-of-field mathematics teachers. Teaching and Teacher Education, 64, 162-174.
https://doi.org/https://doi.org/10.1016/j.tate.2017.02.001
Beswick, K. (2014). What teachers' want: Identifying mathematics teachers' professional learning needs.
The Mathematics Enthusiast, 11(1), 83-108.
Desimone, L. M., & Garet, M. S. (2015). Best practices in teachers' professional development in the
United States/Mejores practicas de desarrollo profesional docente en Estados Unidos.
Psychology, Society, & Education, 7(3), 252-278.
Du Plessis, A. (2016). Leading teachers through the storm: Looking beyond the numbers and turning the
implications of out-of-field teaching practices into positive challenges. International Journal of
Educational Research, 79, 42-51. https://doi.org/10.1016/j.ijer.2016.06.010
Goos, M., O’Donoghue, J., Ní Ríordáin, M., Faulkner, F., Hall, T., & O’Meara, N. (2020). Designing a
national blended learning program for “out-of-field” mathematics teacher professional
development. ZDM, 52(5), 893-905. https://doi.org/10.1007/s11858-020-01136-y
Contact us: mathsTalk@amsi.org.au
Twitter (X): @AMSIschools
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, Leanne emphasizes the crucial role high school teachers play in guiding students towards rewarding careers in mathematics. Don't miss out on this enriching discussion and the chance to explore the endless possibilities maths has to offer!
2024 Teacher Professional Learning in Industry Day and EOI:
Tuesday 21st May 2024 at the University of Melbourne. Expressions of interest close March 1st 2024 https://amsi.org.au/2024-teacher-professional-learning-in-industry-day/
AMSI Careers Information: https://careers.amsi.org.au/ https://ss.amsi.org.au/careers-day-2024-optiver/
Contact us: MathsTalk@amsi.org.au
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 Blog can be found at https://engagingmaths.com/
Other Links discussed in the episode:
Attard, C. (2020), Teaching maths in challenging times: Keep calm and remain critical! Blog post on Engaging Maths. Retrieved from https://engagingmaths.com/2020/03/18/teaching-maths-in-challenging-times-keep-calm-and-remain-critical/.
Australian Curriculum, Assessment and Reporting Authority (ACARA), 2010, Mathematics Proficiencies. Retrieved from https://www.australiancurriculum.edu.au/resources/mathematics-proficiencies/.
Boaler, J. (1996), Case Studies of Alternative Approaches to Mathematics Teaching: Situated Cognition, Sex and Setting. Unpublished doctoral thesis, Kings College School of Education, University of London, UK. Retrieved from https://kclpure.kcl.ac.uk/portal/files/2934023/DX199706.pdf.
Garrett, M. (2016), The Problem with Problem Solving. Blog article on Calculate by AMSI. Retrieved from https://calculate.org.au/2016/04/13/problem-with-problem-solving/.
Website: Joel Speranza – Leveraging Technology for Learning. www.joelsperanza.com.
YouTube Channel: Joel Speranza Math. https://www.youtube.com/c/JoelSperanzaMath/featured
Link to Dr Attard’s Research Project, ‘Investigating the impact of COVID-19 on teachers' technology-related attitudes, beliefs and practices’ (call for survey participants): https://surveyswesternsydney.au1.qualtrics.com/jfe/form/SV_6AmgoLh1N7ZDktn
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.org/2019/11/the-leader-as-coach
Rosenshine’s Principles (Book)
Sherrington, T. (2019). Rosenshine’s Principles in Action. John Catt: Melton, Woodbridge.
Checking for Understanding (Blog) Tom Sherrington - 5 ways to check for understanding https://teacherhead.com/2021/12/02/five-ways-to-check-for-understanding/
Questioning (YouTube Video) Dylan Wiliam – Questioning https://youtu.be/y8bHMd3PosM
Diagnostic Questions (Website)
Craig Barton (from Mr Barton Maths Podcast) developed site that includes 25 thousand questions and quizzes to help diagnose student misconceptions https://diagnosticquestions.com/
Contact Info
MAV Conference 30 Nov - 1 Dec 2023 https://www.mav.vic.edu.au/Conference/Annual-Conference
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 updated and get access to valuable resources, you can subscribe to Michaela's email newsletter, follow her on social media, and explore her professional learning program for teachers. Join this engaging conversation to discover new ways to foster mathematical understanding and encourage your students to connect the dots in maths.
Resources:
Mathstalk@amsi.org.au
@AMSISchools
Juggling As A Way of Building Deep Understanding: https://www.mathsteachercircles.org/blog/juggling/
(blog post related to our conversation)
Charles, R.I. (2005). ‘Big Ideas and Understandings as the Foundation for Elementary and Middle School Mathematics’, Journal of Mathematics Education Leadership, Vol.7 (3).
Siemon, D. (2022). ‘Teaching with the Big Ideas in Mathematics’, Issues in the Teaching of Mathematics. State of Victoria (Department of Education and Training).
Bransford, J., Derry, S., Berliner, D., Hammerness, K., & Beckett, K. (2005). Theories of learning and their roles in teaching. In L. Darling-Hammond & J. Bransford (ed.), Preparing teachers for a changing world: What teachers should learn and be able to do. Jossey-Bass. (quiz questions re Easter Bunny etc came from)
Cryptoshifts: https://www.engagememathematics.com/product/cryptoshifts/
Contact Michaela:
My email newsletter: https://www.mathsteachercircles.org/amsi
Twitter: https://twitter.com/MathsCirclesOz
LinkedIn: https://www.linkedin.com/company/maths-teacher-circles
Facebook: https://www.facebook.com/MathsTeacherCircles
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/article/how-use-interleaving-foster-deeper-learning
https://www.retrievalpractice.org/
Pomodoro Method: https://todoist.com/productivity-methods/pomodoro-technique
🎙️ 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! Subscribe and leave a review to stay mathematically inclined. 🧮🔍 #MathsTalk
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. Finally, we look at the importance of mentoring for all teachers and where Eddie would go for professional learning.
Please pass on some of the maths love by rating and sharing our podcast and check out some of the back catalogue of other brilliant guests and topics the MathsTalk podcast has covered.
Resources:
Contact us: MathsTalk@amsi.org.au
Eddie’s website and links to TV shows and books:
- https://misterwootube.com/
- https://misterwootube.com/2020/03/18/books-tv-2/
- https://www.youtube.com/watch?v=PXwStduNw14&ab_channel=TEDxTalks
A profile of Eddie: https://careers.amsi.org.au/eddie/
The NSW Mathematics Growth team: https://education.nsw.gov.au/about-us/strategies-and-reports/nsw-mathematics-strategy/initiatives/10-mathematics-growth-team
Teacher social networks:
https://www.researchgate.net/publication/249795726_District_Policy_and_Teachers%27_Social_Networks
Dan Meyer – Fake world math: https://blog.mrmeyer.com/2015/fake-world-math-when-mathematical-modeling-goes-wrong-and-how-to-get-it-right/
Logarithmic graphs and Covid-19: https://www.socialsciencespace.com/2020/06/people-do-not-understand-logarithmic-graphs-used-to-visualize-covid-19/
Direct Instruction or Inquiry-Based Learning?: https://www.edutopia.org/article/direct-instruction-inquiry-based-learning/
ICE-EM Textbooks: https://schools.amsi.org.au/ice-em-mathematics-textbooks/
AMSI Resources: https://calculate.org.au/
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 visual summary of Lynelle's 7 strategies:
AMSI ICE-EM textbooks: https://schools.amsi.org.au/ice-em-mathematics-textbooks/
Twitter: @AMSISchools
Facebook: MathsTalk by AMSI Schools
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:
- Download Transcript
- AMSI Schools ‘Calculate’ site – “Games”
- Article: ‘Want Your Child to succeed in mathematics? Play with them’
- Michael Minas’s ‘LoveMaths’ website
- Michael Minas’s LoveMaths ‘Games’ web page
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.
Contact Chris: https://atsima.com/
MathsTalk Feedback: MathsTalk@amsi.org.au
Chris's talk - AMSI Summer School (Maths & Culture): https://ss.amsi.org.au/public-lecture/ (click on watch recording link)
Teacher Magazine Link: https://www.teachermagazine.com/au_en/authors/chris-matthews
The Orb: https://www.theorb.tas.gov.au/
ACARA Priority description: https://tinyurl.com/ATSIpriority
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 well-designed assessment tasks that align with learning goals and engage students in deep mathematical thinking. Whether you're a maths teacher or passionate about mathematics education, this episode provides valuable insights into assessment strategies for better understanding students' mathematical learning. Let's dive into the world of assessment with Nadia Abdelal on MathsTalk!
Resources:
To contact Nadia: https://www.emmaths.com.au/about
To contact us: MathsTalk@AMSI.org.au or our Facebook Page https://www.facebook.com/amsischools
Triangulation: Oliver-Hoyo, M., & Allen, D. (2006). The use of triangulation methods in qualitative educational research. Journal of College Science Teaching, 35(4), 42–47.
https://www.madlylearning.com/assessment-and-the-triangulation-of-data/
Number talks: https://www.emmaths.com.au/post/number-talks
https://books.google.com.au/books/about/Number_Talks.html?id=p4B9F1u2T4kC&redir_esc=y
NAPLAN Spreadsheet: Contact Nadia and she will pass on the link to the spreadsheet https://www.emmaths.com.au/about
Formulating an expression (Year 7) https://acaraweb.blob.core.windows.net/acaraweb/docs/default-source/assessment-and-reporting-publications/e6-naplan-2016-final-test-numeracy-year-7-(non-calc).pdf?sfvrsn=2 (Question 15)
Fraction Strips: https://www.math-salamanders.com/printable-fraction-strips.html
Trading game: See the classroom activity using place value houses http://amsi.org.au/teacher_modules/Using_place_value4-7.html
Michael Minas: Podcast - MathsTalk Episode 10
Love Maths website: https://www.lovemaths.me/
Rob Vingerhoets: http://robvingerhoets.com.au/maths/
Victorian Department of Education: https://www.education.vic.gov.au/school/teachers/teachingresources/discipline/maths/Pages/maths-and-numeracy-assessment.aspx
NSW Department of Education: https://educationstandards.nsw.edu.au/wps/portal/nesa/k-10/understanding-the-curriculum/assessment
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.
Cass can be contacted via Twitter @Cass_Lowry
Contact us on MathsTalk@amsi.org.au with any comments, queries or suggestions
Remote and Classroom Learning Resources
Which one doesn’t belong? A shapes book ~ Christopher Danielson (2016) Stenhouse Publishers
- Which one doesn’t belong? http://wodb.ca/
- How many? A counting book ~ Christopher Danielson (2018) Stenhouse Publishers
- Talking Math With Your Kids: https://talkingmathwithkids.com/
- Christopher Danielson @Trianglemancsd
- Search Twitter: #tmwyk #unitchat #WODB
- Same or Different ~ Meaningful Math Moments (Jennifer Barker) http://www.meaningfulmathmoments.com/same-or-different.html
- Same or Different Examples (Brian Bushart) https://samedifferentimages.wordpress.com/
- Brian Bushart @bstockus
- Search Twitter for: #samediffmath #ElemMathChat
- Dan Finkel - Number Talks https://mathforlove.com/lesson/number-talks/
- Dan Finkel @MathForLove
- Nat Banting - Fraction Talks http://fractiontalks.com/
- Nat Banting @NatBanting
- Number Talks – YouCubed (Jo Boaler) https://www.youcubed.org/resources/stanford-onlines-learn-math-teachers-parents-number-talks/
- Mathematical Number Talks http://www.mathnumbertalks.com/resources/
- Number Strings: https://numberstrings.com/what-is-a-number-string/
- Steve Wyborney - Subitizing Slides https://stevewyborney.com/2018/09/100-subitizing-slides-10-challenge-patterns/
- Steve Wyborney - Splat! https://stevewyborney.com/2018/09/splat-for-google-slides-40-lessons/
- Steve Wyborney - Esti-Mysteries https://stevewyborney.com/2019/09/51-esti-mysteries/
- Steve Wyborney @SteveWyborney
- Robert Kaplinsky - Open Middle https://www.openmiddle.com/
- Robert Kaplinsky @robertkaplinsky and @openmiddle
- Pam Harris - MathStratChat Examples https://www.mathisfigureoutable.com/mathstratchat
- Pam Harris @pwharris
- Search Twitter: #MathStratChat
- Berkeley Everett - Number Search https://photos.google.com/share/AF1QipPUhHweMG3cpSQ2CRL0scB2KtIKi2D6UFLrLtVuBNpr_z-UWsqce6nzZGmkWi5UWA?key=QlZfb2Rtd05vbXRiVklUSldiUGVTSVMxd2hINXJn
- Berkeley Everett @BerkeleyEverett
- Simon Gregg @Simon_Gregg
- Search Twitter: #numbersearch
Great Maths Instructional Videos
- Howie Hua https://www.youtube.com/c/HowieHua1/
- James Tanton https://www.youtube.com/c/JamesTanton_SquineCosquineTanq
- Joel Speranza https://www.youtube.com/c/JoelSperanzaMath
- Eddie Woo https://www.youtube.com/c/misterwootube
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 Michaela:
- Maths Teacher Circles website: https://mathsteachercircles.org/amsi
- We share problems on a regular basis that we believe you will love:
- Twitter: https://twitter.com/MathsCirclesOz
- Facebook: https://www.facebook.com/MathsTeacherCircles/
Some good sources of Problems:
- NZ Maths https://nzmaths.co.nz/problem-solving (Some great articles to read here too)
- NRich from the University of Cambridge. https://nrich.maths.org/ (Also terrific articles)
- Not free, but worth checking out is Problemo https://problemo.edu.au/
- Re Solve - Maths by inquiry https://resolve.edu.au/
- AMSI Calculate has some lessons written up for you https://calculate.org.au/
Contact us on MathsTalk@amsi.org.au or Twittter @AMSIschools or Facebook MathsTalk by AMSI Schools
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://www.emmaths.com.au/
Leanne can be contacted here: mathstalk@amsi.org.au
Find resources and ICE-EM Books at https://calculate.org.au/
Teachers to Leaders https://www.teacherstoleaders.com.au/
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 accessed here:
https://www.mav.vic.edu.au/Services-and-News/Common-Denominator-Magazine
Other topics covered are:
Out of Field Maths teachers: https://tinyurl.com/AMSIOoF Also keep an eye out for the Report from the National Summit on Teaching Out-of-field: Synthesis and Recommendations for Policy, Practice and Research. Due end of June 2022.
Year 12 mathematics participation report: https://tinyurl.com/AMSIMathsChoices
Explicit Instruction: https://tinyurl.com/ExplicitInstructionVicEd
Twitter: @AMSIschools
Contact us: mathstalk@amsi.org.au
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 for stimulation:
Gerardo Ramirez, Stacy T. Shaw & Erin A. Maloney (2018) Math Anxiety: Past Research, Promising Interventions, and a New Interpretation Framework, Educational Psychologist,
53:3, 145-164, DOI: 10.1080/00461520.2018.1447384
AMSI Research into MA: https://schools.amsi.org.au/2019/01/14/choosemaths-days-2018-report-3-2/
Maths Anxiety and Gender: https://schools.amsi.org.au/2019/06/21/choosemaths-gender-report-2019/
Calculate: https://calculate.org.au/
Contact us at: MathsTalk@amsi.org.au
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.com/productivity-methods/pomodoro-technique
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:
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.com/productivity-methods/pomodoro-technique
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 make sound data-driven decisions when faced with complex problems. We look at how teachers can facilitate the development of these skills throughout school and how the RMIT Online team enable teachers and other professionals to build their data interpretation skills and maybe even increase their income in the process.
Resources:
ICE-EM textbooks: https://schools.amsi.org.au/ice-em-mathematics-textbooks/
RMIT Online: https://online.rmit.edu.au/
Ready, set, upskill: Effective training for the jobs of tomorrow: https://online.rmit.edu.au/insights/2021
Contact us: https://calculate.org.au/contact-schools/
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/
www.calculate.org.au
Patterns Lesson: https://calculate.org.au/year7/
Supporting Australian Mathematics Project: http://www.amsi.org.au/ESA_middle_years/Year7/Year7_md/Year7main.html
Geometry: https://calculate.org.au/measurement-and-geometry/
Algebra tiles: https://calculate.org.au/2019/03/27/algebratiles/
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=7c9da64eb9a44914 or waiting until next week, when we will rerelease it.
Contact us at www.calculate.org.au
Nadia’s website: https://emmaths.com.au
An NCTM article about teaching Maths for conceptual understanding: https://www.nctm.org/Publications/Mathematics-Teaching-in-Middle-School/2018/Vol24/Issue1/Promoting-a-Conceptual-Understanding-of-Mathematics/
Marcus discusses the importance of Context in Mathematics: https://calculate.org.au/2016/02/19/2498/
Jo Boaler highlights that learning number facts is not all about procedure, and in fact a conceptual approach is more effective: https://www.youcubed.org/evidence/fluency-without-fear/
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 Field Maths teachers: https://tinyurl.com/AMSIOoF Also keep an eye out for the Report from the National Summit on Teaching Out-of-field: Synthesis and Recommendations for Policy, Practice and Research. Due end of June 2022.
Year 12 mathematics participation report: https://tinyurl.com/AMSIMathsChoices
Explicit Instruction: https://tinyurl.com/ExplicitInstructionVicEd
Twitter: @AMSIschools
Contact us: https://calculate.org.au/mathstalk-podcast/
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
EquatIO
https://www.texthelp.com/en-au/products/equatio/
EquatIO - Free for Teachers
http://text.help/freeforteachers
EquatIO For Schools/Universities - contact asiapac@texthelp.com
Other resources:
Early math skills predict later academic success
Australia’s Chief Scientist 2020 Australia's STEM Workforce Report
A couple of posts by Greg:
Literacy the real barrier to STEM uptake
Can educational technologies help to reverse Australia’s maths slump?
How should schools tackle the maths slump?
Research has shown that mathematics textbooks contain more concepts per sentence and paragraph than any other type of text.
Joan M. Kenney (2005) Literacy Strategies for Improving Mathematics Instruction, ASCD, 2005
STEM texts are often written above the grade level for which they are intended
Barton, M. L., Heidema, C., & Jordan, D. (2002). Teaching Reading in Mathematics and Science. Educational leadership, 60(3), 24-28. PDF
Does reading really matter in mathematics?
https://www.theconfidentteacher.com/2021/04/does-reading-really-matter-in-mathematics/
Readability with Rewordify
https://rewordify.com/
Host Leanne McMahon talks all things tutoring with a 'maths education novice.' We discuss the options available for tutoring from a parental perspective and then look at how teachers (and parents) can use the Tutor learning initiative in Victorian schools (and also available in other states) As a spoiler, we came to a conclusion that private tutoring should probably be sought out as an option only if the student is prepared to take an active part in their classes and seek help from their teacher or school-based programs. We discuss the difficulty that parents have in finding a good tutor and make some suggestions. (another spoiler: It's difficult and expensive in an unregulated industry.)
Resources mentioned in this episode:
Tutor Learning Initiative resources: https://www2.education.vic.gov.au/pal/tutor-learning-initiative/resources
Determining the impact of TLI : https://lens.monash.edu/@education/2021/11/05/1384024/the-tutor-learning-initiative-needs-be-open-to-learning-but-not-just-by-students
Assessment for common misunderstandings: https://www.education.vic.gov.au/school/teachers/teachingresources/discipline/maths/assessment/Pages/misunderstandings.aspx
English research into the use of teaching assistants in the classroom: https://www.evidenceforlearning.org.au/assets/Guidance-Reports/Teaching-Assistants/E4L-Guidance-Report-Teaching-Assistants-Sep-WEB.pdf *Note that this deals with teaching assistants - not trained teachers. In fact it highlights the need for trained teachers and reinforces the value of the TLI
MathsTalk returns with a two-part podcast featuring host, Leanne McMahon talking to maths leader and classroom teacher Cass Lowry about the proposed changes to the Australian Curriculum. In today's teabreak, we discuss the rationale behind the changes and the 'core concept organisers.' As usual, the discussions centre around our classroom and consultancy experience and we certainly welcome your input and insights.
The ACARA Maths Curriculum review documentation: https://www.australiancurriculum.edu.au/consultation/mathematics/
AMSI's response to the draft Curriculum: https://amsi.org.au/2021/07/08/amsi-responds-to-the-acara-australian-curriculum-review-consultation/
Open letter to ACARA organised by Greg Ashman (signatories included) https://mathematicalcrap.com/2021/06/02/open-letter-to-acara-and-the-acara-board/
Twitter: @AMSISchools
Facebook: @amsischools
CRA Model (discussed in Multiplication Matters podcast): https://www.podbean.com/ew/pb-t28tv-1091dc2
Number Sense Podcast: https://www.podbean.com/ew/pb-fwt6r-dffa7f
Host Leanne McMahon and guest Cass Lowry talk about one of the most asked questions on Maths Education Social Media, "What intervention program is best?" We discuss the value of intervention in general and look at a couple of specific examples that we have used.
Resources:
English Research into the best use of Teaching assistants: https://educationendowmentfoundation.org.uk/tools/guidance-reports/making-best-use-of-teaching-assistants/
PISA and TIMMS Data: https://www.acer.org/au/timss https://www.acer.org/au/pisa
Parent Information: https://calculate.org.au/
18 x 5 video: https://www.youcubed.org/resources/stanford-onlines-learn-math-teachers-parents-number-talks/
Number Sense Podcast: https://mathstalk.podbean.com/e/developing-number-sense-in-young-children/
MAI: https://www.education.vic.gov.au/school/teachers/teachingresources/discipline/maths/assessment/Pages/mathsgrowthpoints.aspx
The release of the draft of the new Australian Curriculum in Mathematics has caused quite a stir. While this will be discussed in our next episode, we thought it timely to rerelease one of our most popular podcasts (edited for a quicker listen). It looks at why 'learning your tables' is not enough and how teachers can become more familiar with multiplicative thinking.
Host Marcus Garrett and AMSI Schools Outreach Officer Leanne McMahon discuss the difference between ‘knowing multiplication facts’ and ‘multiplicative thinking’. They chat about the developmental sequence of multiplication-related concepts from the early years through to the middle years in the Australian maths curriculum.
RELATED LINKS: * Download Transcript
- Multiplication Part 1
- Multiplication Part 2
- Multiplication Part 3
- Multiplication and Division
- Multiplication of Whole Numbers
- Multiples, Factors and Powers
With all the talk about NAPLAN, it seems like a great time to revisit the idea of fluency.
Mathstalk will be back with new episodes in 2 weeks.
Host Leanne McMahon is joined by AMSI Outreach Officer and MathsTalk Twitter chat host, Cass Lowry to discuss the idea of Mathematical Fluency. This conversation stems from a #MathsTalk Twitter chat on the same topic held on November 12th 2020 that led to spirited debate and some great ideas. Links and resources can be found below and at www.Calculate.org.au
-
Wakelet Collection #MathsTalk Fluencyhttps://wke.lt/w/s/x92941
-
Jo Boaler (@joboaler) article: Fluency without Fear https://www.youcubed.org/evidence/fluency-without-fear/
- Katherin Cartwright (@kath_cartwright) research paper: Analyzing students’ communication and representation of mathematical fluency during group tasks https://www.sciencedirect.com/science/article/pii/S0732312320300857?dgcid=author
- Primary Learning Website: https://primarylearning.com.au/
- Greg Fletcher (@gfletchy): Developing Fact Fluency Through Context https://summit.makemathmoments.com/talks/developing-fact-fluency-through-context/
- Dan Finkel (@MathforLove): Number Talks https://mathforlove.com/lesson/number-talks/
- Ollie Lovell (@ollie_lovell) book: Cognitive Load Theory in Action https://www.amazon.com.au/Oliver-Lovell/e/B08HRPFLDP/ref=dp_byline_cont_pop_book_1
- Calculate resources to help build mathematical fluency
- Bead Strings: https://calculate.org.au/2018/12/10/bead-strings/
- See & Say: https://calculate.org.au/2018/10/03/see-say/
- ROWCO: https://calculate.org.au/2018/09/26/rowco/
- Bunny Ears: https://calculate.org.au/2018/09/24/bunny-ears/
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:
www.calculate.org.au
Patterns Lesson: https://calculate.org.au/year7/
Supporting Australian Mathematics Project: http://www.amsi.org.au/ESA_middle_years/Year7/Year7_md/Year7main.html
Geometry: https://calculate.org.au/measurement-and-geometry/
Algebra tiles: https://calculate.org.au/2019/03/27/algebratiles/
As a response to feedback on our recent Podcast, Conceptual Understanding, we have rereleased the podcast we referred to, "The Equals sign"
Host Claire Embregts grabs a cuppa with AMSI Schools Outreach Officer Leanne McMahon to talk about the importance of the equals sign in Mathematics. We chat about the common misconceptions behind the equals sign and what teachers can do to avoid or rectify these misconceptions. Much of our discussion centres around a presentation from Max Stephens at the MERGA conference in 2006, a paper from which can be found here. https://merga.net.au/Public/Publications/Annual_Conference_Proceedings/2006_MERGA_CP.aspx
Find more at www.Calculate.org.au
In our first 'live' podcast for 2021, host, Leanne McMahon talks to Mathematics Consultant Nadia Abdelal. They discuss 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 is the first in a 2-part series on conceptual understanding in Mathematics and next week we will continue our discussion with a dive into teaching algebra for conceptual understanding.
Contact us at www.calculate.org.au
Nadia's website: https://emmaths.com.au/index.html
An NCTM article about teaching Maths for conceptual understanding: https://www.nctm.org/Publications/Mathematics-Teaching-in-Middle-School/2018/Vol24/Issue1/Promoting-a-Conceptual-Understanding-of-Mathematics/
Marcus discusses the importance of Context in Mathematics: https://calculate.org.au/2016/02/19/2498/
Jo Boaler highlights that learning number facts is not all about procedure, and in fact a conceptual approach is more effective: https://www.youcubed.org/evidence/fluency-without-fear/
Due to popular demand we are re-releasing the episodes from 2020 that look at starting the year in Mathematics. We'll be back very soon with fresh, exciting episodes for the new year.
In the first Mathstalk series of the year, the team looks at starting the year in Mathematics. From setting up your classroom with resources, planning and delivering the best Maths lessons you can, to our favourite games, warmups and fun routines. In today's episode, host Marcus Garrett talks to Cass Lowry (primary) and Leanne McMahon (secondary) about what Maths Classrooms need. They discuss must-have manipulatives in both primary and secondary classrooms and also look at On-line resources and Text books.
Related Links:
- Classroom Resources
- Counting Charts
- Bead Strings
- Cuisenaire Rods
- Pattern Blocks
- Decimats
- Linear Arithmetic Blocks (LAB) [External link]
- Decimats: Helping students make sense of decimal place value (Anne Roche) [Article]
- Deciwire: An inexpensive alternative for constructing linear representations of decimals (Jenny Young-Loveridge & Judith Mills) [Article]
In this Tea Break episode, host Claire Embregts is joined by AMSI Outreach Officer Anna Bock who shares some ideas and strategies that teachers can implement in the classroom to support their students with understanding the concept of Addition. We chat about some of the ideas that underpin Addition and the importance of providing practical situations with adding single digit numbers before moving to larger numbers. A range of links to resources are provided for teachers and parents.
Links and resources can be found below and at www.Calculate.org.au
For Teachers:
https://calculate.org.au/2018/09/14/building-number-sense-through-number-talks/
https://www.researchgate.net/publication/254705172_Written_algorithms_in_the_primary_years_Undoing_the_'good_work'
http://amsi.org.au/teacher_modules/Addition_and_subtraction.html
https://www.cem.edu.au/CatholicEducationMelbourne/media/Documentation/Documents/Key-Ideas-in-Maths.pdf
For Parents:
https://calculate.org.au/2020/07/09/number-talks-for-parents/
https://calculate.org.au/2020/05/21/partitioning-one-is-a-snail-ten-is-a-crab/
https://calculate.org.au/2020/04/29/addition-and-subtraction/
Leanne McMahon enlists the journalistic/Maths educator talents of Vicky Kennard and Cassandra Lowry to review some highlights of the 2020 Mathematics Association of Victoria Virtual Conference held on the 3rd and 4th of December. If you didn't manage to attend, our reviewers give some great insights into their learnings and provide links to resources that the speakers provided.
Related Links:
- MAVCON 2020 Virtual Platform: https://mav.delegateconnect.co/
- Dr Paul Swan’s MAVCON resources: https://drpaulswan.com.au/mavcon/
- Dr Paul Swan’s website: https://drpaulswan.com.au/
- AMSI Calculate Subitising Cards: https://calculate.org.au/2020/07/21/subitising-cards/
- James Tanton’s website G’Day Math!: Pencil Pushing Task https://gdaymath.com/lessons/gmp/1-7-pencil-pushing-inspires-truth-nonetheless/
- James Tanton and Numberphile presenter James Grime demonstrating the International Mathematics Salute: https://youtu.be/gSMeawFz0Sw
- James Tanton's site: http://www.jamestanton.com/
- Maths Teacher Circles Virtual Sessions 2021: https://mathsteachercircles.org.au/maths-teacher-circles-virtual-sessions-2021/
- Number Strings website: https://numberstrings.com/what-is-a-number-string/
- Craig Barton (Mr Barton’s Maths Podcast with Anne Watson and John Mason): http://www.mrbartonmaths.com/blog/anne-watson-and-john-mason-variation-questioning-visualising-and-developing-mathematical-thinkers/
- CraigBarton’s Variation Theory: https://variationtheory.com/
- Supporting your child in Maths: https://calculate.org.au/supporting-your-child/
- Sherry Parrish: Number Talks. Whole Number Computation. Math Solutions Susalito CA. USA (2014)
- Ollie Lovell https://www.ollielovell.com/
- AMSI BCSGM Course: https://amsi-schools.appspot.com/building_capacity_for_sustaining_growth_in_mathematics/course
- Nadia Abdelal: https://emmaths.com.au/index.html
- Contact us via www.calculate.org.au
Leanne McMahon interviews Mathematics Association of Victoria Events Manager, Jacqui Diamond about the upcoming Virtual Conference. We discuss how Covid-19 has thrown a spanner in the works of one of the biggest events in the Australian Maths Education community's year and how Jacqui has devised ingenious ways of making the conference bigger and better. If you would like to contribute to the "LIVE" (not quite live) MAV Virtual Conference podcast as described in this podcast, share your MP3 or wav file, recorded on your phone (or wherever) using https://wetransfer.com to Leanne@amsi.org.au(sharing this way because they're often too big to email)
While the conference is completely sold out, it's worth listening to the 'headline acts' and looking them up using the links below.
James Tanton: http://www.jamestanton.com/
Peter Sullivan: https://research.monash.edu/en/persons/peter-sullivan
Paul Swan: https://drpaulswan.com.au/
Host Leanne McMahon is joined by AMSI Outreach Officer and MathsTalk Twitter chat host, Cass Lowry to discuss the idea of Mathematical Fluency. This conversation stems from a #MathsTalk Twitter chat on the same topic held on November 12th 2020 that led to spirited debate and some great ideas. Links and resources can be found below and at www.Calculate.org.au
-
Wakelet Collection #MathsTalk Fluencyhttps://wke.lt/w/s/x92941
-
Jo Boaler (@joboaler) article: Fluency without Fear https://www.youcubed.org/evidence/fluency-without-fear/
- Katherin Cartwright (@kath_cartwright) research paper: Analyzing students’ communication and representation of mathematical fluency during group tasks https://www.sciencedirect.com/science/article/pii/S0732312320300857?dgcid=author
- Primary Learning Website: https://primarylearning.com.au/
- Greg Fletcher (@gfletchy): Developing Fact Fluency Through Context https://summit.makemathmoments.com/talks/developing-fact-fluency-through-context/
- Dan Finkel (@MathforLove): Number Talks https://mathforlove.com/lesson/number-talks/
- Ollie Lovell (@ollie_lovell) book: Cognitive Load Theory in Action https://www.amazon.com.au/Oliver-Lovell/e/B08HRPFLDP/ref=dp_byline_cont_pop_book_1
- Calculate resources to help build mathematical fluency
- Bead Strings: https://calculate.org.au/2018/12/10/bead-strings/
- See & Say: https://calculate.org.au/2018/10/03/see-say/
- ROWCO: https://calculate.org.au/2018/09/26/rowco/
- Bunny Ears: https://calculate.org.au/2018/09/24/bunny-ears/
Host Claire Embregts grabs a cuppa with AMSI Schools Outreach Officer Leanne McMahon to talk about the importance of the equals sign in Mathematics. We chat about the common misconceptions behind the equals sign and what teachers can do to avoid or rectify these misconceptions. Much of our discussion centres around a presentation from Max Stephens at the MERGA conference in 2006, a paper from which can be found here. https://merga.net.au/Public/Publications/Annual_Conference_Proceedings/2006_MERGA_CP.aspx
Find more at www.Calculate.org.au
Hosts Leanne McMahon and Michael O’Connor are joined by Mike Clapper, former Executive Director and Chief Mathematician at the Australian Mathematics Trust, to talk about geometry and its importance in the Australian Curriculum. We cover everything from why we teach geometry and how to develop geometric reasoning in our students to packing your car boot on camping holidays. Mike has kindly provided some accompanying episode notes which will be available to download through our www.calculate.org.au website along with some links to other related resources.
Have you ever felt the urge to dip your toe in the murky waters of Twitter? In this episode, host, Leanne McMahon talks to Outreach Officer Cass Lowry about how to get started on Twitter and how it can be used as a part of your professional learning. We look at setting up your account, lurking, liking and finally getting involved in Twitter Chats - Especially ours! #MathsTalk 8pm AEST every Thursday.
If you'd like further information, drop us an email at choosemaths@amsi.org.au or get onto our website www.calculate.org.au.
Check out the following resources:
- Teachers on Twitter – Why you should join and how to get started: https://www.theguardian.com/teacher-network/2017/apr/20/teachers-on-twitter-why-join-get-started-social-media
- EduTwitter Chats
-
TLAPdownunder – Sunday 8pm AEST
-
aussieED – Sunday 8.30pm AEST
-
MathsTalk – Thursday 8pm AEST
-
PrimarySTEMChat – Thursday 8.30pm AEST
-
whatisschool – Friday 9am AEST
-
- Tips for managing a fast-paced Twitter chat (Craig Kemp): http://mrkempnz.com/2015/02/5-tips-for-managing-a-fast-paced-twitter-chat.html
- Why you should switch from Twitter to Tweetdeck: https://www.youtube.com/watch?v=1q1dKe891pw
Host, Marcus Garrett talks to two members of the AMSI Outreach team, Cass Lowry and Michael O'Connor about the important proficiency of reasoning and how we can develop this in students of all ages, from pre-primary to later secondary. Contact us if you have comments or suggestions. ChooseMaths@amsi.org.au
Head to www.Calculate.org.au for resources, links, further information and to give feedback.
Dealing with Misconceptions in Geometry
This is the first episode in Series 4 for MathsTalk, in Term 3 of 2020 and in this series, we are focusing on Geometry. Host, Leanne McMahon chats with 2018 CHOOSEMATHS Teacher Award winner Sheila Griffin and fellow AMSI Schools Outreach Officer Anna Bock, about common student - and sometimes teacher - misconceptions in Geometry. We discuss how they can be tackled in the maths classroom in ways that engage students and really encourage them to think.
Head to www.Calculate.org.au for resources and links
Special guest Dr Catherine Attard discusses her latest blog post with AMSI Outreach Officers Marcus Garrett and Leanne McMahon. In a spirited conversation, they look at how teachers and parents can discern between good and not-so-great mathematics resources in this time of information overload. 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 Blog can be found at https://engagingmaths.com/
Other Links discussed in the episode:
Attard, C. (2020), Teaching maths in challenging times: Keep calm and remain critical! Blog post on Engaging Maths. Retrieved from https://engagingmaths.com/2020/03/18/teaching-maths-in-challenging-times-keep-calm-and-remain-critical/.
Australian Curriculum, Assessment and Reporting Authority (ACARA), 2010, Mathematics Proficiencies. Retrieved from https://www.australiancurriculum.edu.au/resources/mathematics-proficiencies/.
Boaler, J. (1996), Case Studies of Alternative Approaches to Mathematics Teaching: Situated Cognition, Sex and Setting. Unpublished doctoral thesis, Kings College School of Education, University of London, UK. Retrieved from https://kclpure.kcl.ac.uk/portal/files/2934023/DX199706.pdf.
Garrett, M. (2016), The Problem with Problem Solving. Blog article on Calculate by AMSI. Retrieved from https://calculate.org.au/2016/04/13/problem-with-problem-solving/.
Website: Joel Speranza – Leveraging Technology for Learning. www.joelsperanza.com.
YouTube Channel: Joel Speranza Math. https://www.youtube.com/c/JoelSperanzaMath/featured
Link to Dr Attard’s Research Project, ‘Investigating the impact of COVID-19 on teachers' technology-related attitudes, beliefs and practices’ (call for survey participants): https://surveyswesternsydney.au1.qualtrics.com/jfe/form/SV_6AmgoLh1N7ZDktn
This episode looks at the importance of developing number sense in small children and how this can be done by both teachers and parents. Hosts Leanne McMahon and Marcus Garrett speak with AMSI CHOOSEMATHS award winner, Sarah Rose from the Hunter Valley in NSW. Sarah shares her early experiences with Maths and how these have shaped her attitude to Maths teaching now. She gives some great ideas for the development of number sense in children from babies to later primary years. All resources are listed on the AMSI Schools site, www.calculate.org.au Comment or contact us on Twitter @AMSISchools, join us for the #MathsTalk every Thursday night at 8pm AEST or fill in the form on the podcast page https://calculate.org.au/mathstalk-podcast/
Please excuse the recording quality. It was a very early attempt at Zoom and we are ironing out a few bugs.
In this episode of MathsTalk, Leanne and Marcus chat to recent CHOOSEMATHS Schools Outreach Officer and current secondary mathematics teacher Jacinta Blencowe about why allowing students to talk about their mathematical working and understanding is such a critical element in their maths education. They discuss the ways in which parents and teachers can develop children’s mathematical language and vocabulary and also provide some practical tips, resources and strategies for encouraging useful and productive discourse around mathematical working and problem solving.
Host, Leanne McMahon introduces her fellow Outreach Officers from AMSI Schools and asks them what is their go-to Mathematics activity for children at home. We cover ages 5-16 and give some fun, practical tips for making Maths interesting and relevant for your house-bound mini mathematicians.
See www.calculate.org.au for links and information
In this Episode, Marcus Garrett speaks with mathematics education guru Michael Minas about using maths games and activities to engage students during home based learning, precipitated by the Covid-19 crisis during which most Australian classrooms are operating via distance learning. Michael provides parents, caregivers and teachers with both encouragement and some great, practical tips about how to engage - and focus - children and young people during this challenging time.
Please note that due to remote recording under the sudden circumstances of work-from-home arrangements during the Covid-19 crisis, the recording sound quality for this and last episode is not to our usual standard. We are working on gaining access to equipment to ensure future from-home recordings are at the best sound quality possible. Thanks for your understanding.
In our special 'Social Isolation' Episode, Host, Marcus Garrett, talks to AMSI Schools Program Manager and CHOOSEMATHS Project Director, Janine Sprakel about what we should be doing to help children of all ages with their Mathematics at home. We look at the expectations on parents at this crazy time and how to manage them. We then examine some of the fantastic resources, ideas and games that can be found on the Calculate website (https://calculate.org.au/) and on other websites from around the world.
Learn how to enjoy this time with your children, with tips to find curriculum-linked games and activities, all designed to increase confidence and joy in students, parents and teachers alike.
In a 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. AMSI Outreach Officer 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 talks to AMSI Schools Manager Janine Sprakel and Outreach Officer Marcus Garrett about the features of a good Maths lesson. We look at the structure, content, delivery and context of lessons and how to plan for a sensational learning experience with your students.
Join the conversation on @AMSIschools Twitter.
In the first Mathstalk series of the year, the AMSI team looks at starting the year in Mathematics. From setting up your classroom with resources, planning and delivering the best Maths lessons you can, to our favourite games, warmups and fun routines. In today's episode, host Marcus Garrett talks to AMSI Outreach Officers Cass Lowry (primary) and Leanne McMahon (secondary) about what Maths Classrooms need. They discuss must-have manipulatives in both primary and secondary classrooms and also look at On-line resources and Text books.
Host Leanne McMahon chats to AMSI Schools Outreach Officers Nadia Abdelal and Marcus Garrett about multiplication in this final episode in the Multiplication Matters series. They talk everything arrays, how they connect to vertical algorithms as well as why they are important in algebraic expansion and factorisation.
Hosts Marcus Garrett and Nadia Abdelal continue the discussion with Outreach Officer Helen Booth on the teaching of fractions and decimals. This episode focuses on the five fractional constructs and the importance of delivering these in a more conceptual way.
Host Nadia Abdelal and AMSI Schools Outreach Officer Leanne McMahon delve further into multiplicative concepts, with a focus on the pedagogical progressions. They chat about the importance of subitising and how this developmental milestone paves the way for successful multiplicative development.
Host Marcus Garrett and AMSI Schools Outreach Officer Helen Booth discuss the difficulties that students have with learning fractions and decimals, how this can impact learning and ways to address these.
Host Marcus Garrett and AMSI Schools Outreach Officer Leanne McMahon discuss the difference between ‘knowing multiplication facts’ and ‘multiplicative thinking’. They chat about the developmental sequence of multiplication-related concepts from the early years through to the middle years in the Australian maths curriculum.