2017 MANSW Annual Conference

2017 yenMANSW Annual Conference

Adjusting Your Altitude

PLATINUM SPONSORS

MANSW thanks the following sponsors for their support of the 2017 MANSW Annual Conference

GOLD SPONSOR

SILVER SPONSORS

OTHER SPONSORS

Pre-Dinner Drinks President’s Reception Sponsor

Presenter Gifts

Welcome to the 2017 MANSW Annual Conference

Adjusting Your Altitude

2017 MANSW Annual Conference

Adjusting Your Altitude

A very warm welcome to the 2017 MANSW Annual Conference: “Adjusting Your Altitude”. In deciding to bring the MANSW Annual Conference to the Blue Mountains this year, I wanted our theme to be related to the mountains in some way. In particular, the graphic that we have used this year stood out to me as a graphic that epitomises our work as teachers. To teach effectively, it is not enough to explain our knowledge, experiences, to talk students through the journey they will go on, all the potholes they may fall in, how to navigate, how to plan for bad weather, how to move up the mountain… you have to walk it with them, and help them on the way, adjusting as you go. We are excited to be able to welcome many educators to our conference this year, and there are many notable events to look forward to. On Friday morning we have two excellent speakers: Mark Harrison and Angela D’Angelo. Mark Harrison has a background in Mathematics and Psychology and will speak to us about Growth Mindset, in particular how understanding student mindsets can deeply influence our effectiveness in the classroom. Angela D’Angelo, one of the recipients of a Premier’s Teaching Scholarship in 2016, will continue the conversation around Growth Mindset as well as discuss her journey over the last year. On Friday evening we hope that you will all join us at our President’s welcome drinks to both meet new people and/or catch up with old friends and colleagues. Following the presidents drinks we are again running a trivia night, building on the success of last year’s which we hope many of you will attend. Saturday morning offers the opportunity to learn about current curriculum developments in mathematics from Anna Wethereld, the Board Inspector for Mathematics and Numeracy at the NSW Education Standards Authority. Saturday night is the annual dinner with the opportunity to dress for the occasion if you so wish, our theme this year being “Blue”. Our dinner activities are organised by Karen McDaid and will inspire you to get thinking, whilst the live band “Peppermint Jam” will inspire you to get moving! This year we are trialling Sunday morning as being our “practical sessions” where you can really get hands on with some mathematics and activities, before having some stand up finger food and heading on your way. The most important contributors to the conference are the numerous volunteers who run our sessions and generously share their knowledge and understanding with everyone. We are very grateful to these colleagues who have put an incredible amount of time and effort into preparing their session for all to enjoy. We are also incredibly grateful to our sponsors and exhibitors. We wish to acknowledge our very generous Platinum Sponsors: Casio and Manga High; our Gold Sponsor: Mathspace; and our Silver Sponsors: Maths Pathways and CSU Engineering. We are also grateful for the financial support of

2017 MANSW Annual Conference Page 2 Nelson Cengage and 3P Learning for sponsoring the Presenter Gifts; Australian Mathematics Trust for sponsoring the President’s Reception and Jacaranda for sponsoring the Pre-dinner Drinks. Do please all take the time to look around the exhibitor displays and explore their wonderful array of reference materials and teaching resources. Finally I personally would like to thank the incredible team from the MANSW Office: Zina, Darius and Zara for all their hard work and commitment. They do the majority of the organisation for the conference and I never cease to be impressed with the level of their dedication. As mentioned above, our keynote speakers this year are focussing on the idea of a ‘Growth Mindset’. Of course, understanding and considering a growth mindset is a very different thing from living it. How many of us have a fixed mindset with regard to something in our lives… ‘I can’t cook’, ‘I’m always getting lost in the car’, ‘I’m not good in particular social situations’, ‘I don’t get on with that particular person’, … the list can be endless. A quote from Pride and Prejudice springs to mind: Darcy: “I certainly have not the talent which some people possess, of conversing easily with those I have never seen before…” Elizabeth: “My fingers, do not move over this piano (sic) in the masterly manner which I see so many women’s do… But then I have always supposed it to be my own fault – because I would not take the trouble of practising. It is not that I do not believe my fingers as capable as any other woman’s of superior execution.” In essence, a growth mindset could be defined as having a positive approach to whatever we are asked to try. A student who is able to approach a topic with “yes, I would like to learn that” will frequently do much better than the student who approaches with trepidation, expecting to fail. As teachers, it is vital that we practice what we preach and lead by example, and every year the conference is filled with such positive people having such positive experiences and conversations that I feel very confident that we will all leave able to help our students up their mountain to the best of our ability.

Becky Lovelock Conference Convenor 2017

You will find a MANSW Annual Conference Evaluation form in your conference bag.

Please use this form to provide us with your feedback and return it to the MANSW desk prior to leaving the conference.

Your feedback on individual workshops will be collected within each session.

2017 MANSW Annual Conference Page 3 2017 Conference Timetable

Friday 15 September 2017

8:00 am Registration and Sign-on 8:45 am Introduction and Welcome 9:00 am Keynote 1 – Mark Harrison 9:45 am Keynote 2 – Angela D’Angelo 10:30 am Morning Tea 11:00 am Session 1 12:10 pm Session 2 1:10 pm Lunch 2:10 pm Session 3 3:10 pm Afternoon Tea 3:40 pm Session 4 5:00 pm President’s Reception 6:30 pm Trivia Night - Explorers Unite (In the Golf Club)

Saturday 16 September 2017

8:00 am Registration and Sign-on 8:45 am Introduction and Welcome – Award Ceremony 9:30 am NESA Update – Anna Wethereld 10:30 am Morning Tea 11:00 am Session 5 12:10 pm Session 6 1:10 pm Lunch 2:10 pm Session 7 3:10 pm Afternoon Tea 3:40 pm Session 8 6:00 pm Pre-dinner drinks for Dinner Guests 7:00 pm Conference Dinner - Blue (In the Marquee)

Sunday 17 September 2017

8:00 am Registrations and Sign-on 9:00 am Session 9 10:30 am Morning Tea 11:00 am Session 10 12:30 pm Prizes and Finger Food 1:00 pm Conference Close

Attention If you are seeking accreditation you must sign the attendance roll at the beginning of each day between 8:00 am and 9:00 am at the MANSW desk.

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2017 MANSW Annual Conference Page 6 2017 MANSW Annual Conference Page 7 Presentation Summaries Keynote Address Friday 15 September 2017 9:00 am – 9:45 am

The Influence of Growth Mindsets on Student Motivation (and Everything)

Mark Harrison Room: Combined Blaxland, Lawson & Wentworth rooms

When Mark was a maths teacher he noticed something profound: that students were divided up into two distinct groups. Unlike the old idea that the class had only ‘smart’ and ‘dumb’ kids, he realised they were fundamentally divided by ‘learners’ and ‘non-learners’. He discerned that many students spent huge amounts of time avoiding work they could actually complete if they just focused on it. He awakened to the fact that a large majority of students in his classroom were not reaching their potential because of a belief that maths was not ‘their thing’. This lead to his investigation into the research of Growth Mindset by Dr Carol Dweck. His thesis investigated this idea using students transitioning to high school in the domains of maths and reading. It was a deep dive into the fundamental classroom divide. And for over ten years, he has devoted his professional life to this new way of looking at the way people learn. This keynote speech will focus on the influence that Growth Mindsets have on our lives and especially the students. How they have a crucial influence on motivation and behaviour. And, he believes, without understanding mindsets it is hard to really change student motivation at all. This keynote will stress the need for a new way in education motivation. Today and moving forward educators can no longer ignore this important psychological mechanism. Because of the ever-changing job market, it is even more important to teach this new way of how students can reach their full potential and become more flexible thinkers.

Biography of Mark Harrison

Mark is on a mission to help educators and students change the way they view learning. Trained as a Mathematics and Psychology teacher, he has a unique background in Psychology, Growth Mindsets and Mathematics education.

Mark has helped schools develop whole-school cultural change using Growth Mindset philosophy. This has been achieved working in the role of a senior psychologist supervising a group of psychologists and counsellors, as a Principles of Learning and Teaching P-12 whole-school coordinator and also working with principals as part of the welfare team to implement dynamic new ways to transform teaching and learning practices.

Mark is a highly regarded presentation and oration expert. He has delivered his distinctive Growth Mindset presentations to staff and students across NSW, including: at the Hunter region school counsellors’ annual conference; to staff at Biddabah Public School; to Itinerate Support Staff - Hearing Support staff in the Hunter region; and at bespoke events for high school staff interested in Growth Mindsets and neuroscience. He has developed and presented his Growth Mindset programs to students across all school stages, including a program on Stage 6 study stress, a six-session Mindset program for Stage 3, and a Stage 1 Mindset program with the assistance of his “angry friend” Bucky the Puppet Monkey. As part of a five-week rural and remote program on Growth Mindset, Mark delivered an online presentation to students from six remote primary schools. He is also passionate about gender, age and cultural differences with regard to how individual context influences attitudes to learning.

Mark has been obsessed with this question for 10 years: How can students reach their full potential?

2017 MANSW Annual Conference Page 8 Presentation Summaries Keynote Address Friday 15 September 2017 9:45 am – 10:30 am

Oh The Places We Go……

A mathematical learning journey in search of the ‘Theory of Everything’ about learning mathematics in the 21st Century

Angela D’Angelo Room: Combined Blaxland, Lawson & Wentworth rooms

Angela was afforded the wonderful opportunity as the inaugural recipient of the Sydney University NSW Premier’s Scholarship, to go on an exploration of ideas and cultures. Finding the experience thrilling and invigorating, she is delighted to be able to share her experiences.

The physical journey took Angela from various parts of the United States, to Montreal, Toronto and Vancouver in Canada and then to the United Kingdom. More important was the associated journey of inquiry. She explored questions around the implementation of growth mindset strategies and how this has been done in mathematics classrooms. She also investigated the effect of 21st century teachers and 21st century parents and what could be going awry with the development of resilient students of mathematics.

What can be done to engage students, in particular girls in the areas of STEM? These questions have arisen from conversations with research academics from Universities such as McGill and Stanford, educational jurisdiction representatives as well as observations of teachers in action, implementing innovative practices.

The overarching question is of course, where do we start to get it right? Some, like Jo Boaler, believe it requires a complete reset of what we, as classroom practitioners, do and how we do it. Some of the answers could lie in the concept of a student’s “math identity”; how such an identity develops and the effect it has on a student’s resilience and efficacy in the learning of mathematics. An adjustment of our attitudes may be required in order to equip our students for current and future success.

Biography of Angela D’Angelo

Angela D’Angelo has a Masters in Education (majoring in Research Methods) 2013 and has been a mathematics educator for over 30 years, in both the State and Catholic sectors many of those as a Head Teacher of the Mathematics KLA . She has been a member of mathematical associations for most of that time and is the president of the Met East Mathematics Head Teachers Association, this year she was the recipient of the inaugural Sydney University Mathematics NSW Premier's scholarship.

2017 MANSW Annual Conference Page 9 Presentation Summaries Session 1 Friday 15 September 2017 11:00 am – 12.00pm

K- 4 Masterclass (11am-1.10pm) Charles Lovitt Stages ES1-2 Room: Blaxland

A masterclass in any field of endeavour is a chance for participants to peer into the subtleties and nuances behind ideas of quality and in a way that benefits all of us. I am a lesson collector – aiming to collect the most ‘interesting’ lessons I can find from across the country. Some of these have been so well received and used by teachers as to have become almost ‘iconic’ i.e indicators of the directions to which our profession aspires. The session will have the hopeful luxury of both experiencing the lessons but also peering more seriously and deeply into the structures of each. In this way we can distil out elements of quality which can then be transferred into other lessons.

Re-responding to the ALARM Lee Hyland Stages 4-5 Room: Lawson

Follow up session about our progress along the ALARM journey, how we are implementing into Stage 4/5 and success in Stage 6 from implementation.

Vertical Whiteboarding: Riding the Wave of Student Activity in Maths Tricia Forrester Stages 4-5 Room: Wentworth

In 2014 we commenced working on the Inspiring Mathematics and Science in Teacher Education (IMSITE) project, aimed at improving mathematics and science education in Australia. We undertook a range of activities, the most exciting of which was the introduction of vertical whiteboarding as a tool to actively engage high school students with mathematics. In this workshop, we share our journey of taking whiteboarding from a university setting and into secondary school maths classrooms, sharing teacher and student perspectives of vertical whiteboarding. Whiteboarding has potential as a tool to engage students across a range of school settings. Participants will engage in vertical whiteboarding, discussing benefits and practicalities for them and their students.

A Short History of Time - From Babylon Until Today Andrew Ferch Stages 4-6+ Room: Bligh & Macquarie

The sexagesimal number system was developed by the Sumerians and then used extensively by the Babylonians throughout their empire to measure time. The Egyptians also added to this the measure of 24 hours in day. Who were these pioneers of time measurement and what legacy have they left us today? The presentation will trace the measurement of time and angles over 5000 years of history. We begin with the Sumerians and identify who they were and what remains of their highly developed civilization. We then move onto the Babylonians and examine what impact they had through their empire. We look at what mathematical knowledge the Egyptians contributed in their own way to our current use of time measurement. The presentation assumes no prior knowledge of history. Time lines and maps are used to identify these different civilizations. Further, archaeological evidence and ancient literary sources are used to enrich our understanding of these ancient cultures.

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Session 1 (Continued) Friday 15 September 2017 11:00 am – 12.00pm

Unpacking the Mathematics STEM Pathways for Stage 5 Danielle Karis Stage 5 Room: Mistys

This one-hour session will allow participants an opportunity to unpack the Mathematics STEM Pathways for Stage 5. The pedagogy presented in the sample Programs will be examined and participants will discuss how this compares to the way Stage 5 Outcomes are currently addressed in their schools. This discussion will assist teachers in evaluating the appropriateness of the two new Pathways for their own students.

Unpacking the New Mathematics Standard Course Robert Yen & Judy Binns Stage 6 Room: Pioneers

What’s new in HSC Mathematics Standard 1 and 2, other than the name? This workshop will outline the changes to the 2012 syllabus, examining the new themes and big ideas. We will identify the topics that have changed or been moved, and focus on new topics such as Pareto charts, target heart rates, blood pressure, Herons formula and networks. We will also look at teaching two pathways from Year 11, in both graded or mixed-ability classes.

A Deep Dive into NSW 2018 Senior Curriculum Changes Nicola Wall & Andrew Crisp Stages 5-6 Room: Norman Lindsay

Over the next two years, maths teachers across the country will be overseeing the biggest changes to the NSW senior mathematics curriculum in more than three decades. The new curricula are modernised, streamlined, and while familiar in parts, also incorporate some new material, technological integration, and assessment standards. The curriculum team at Mathspace will guide you through the motivation behind the changes and the goals of the new syllabuses, before diving deep into the details of what’s new, what’s been moved and where, and what’s out. These changes will be showcased alongside the comprehensive e-textbook created by Mathspace, which is free to access for all Australians and will help both teachers and students master the new curricula.

2017 MANSW Annual Conference Page 11 Presentation Summaries Session 2 Friday 15 September 2017 12:10 pm – 1:10 pm

K-4 Masterclass (Continued) Charles Lovitt Stages ES1-2 Room: Blaxland

Paper Power Maree Skillen Stages 3-5 Room: Lawson

Explore, imagine, experiment, create! Paper folding can provide a particularly accessible, visual means of inspiring and exciting students about mathematics. This hands-on workshop will provide active mathematical experiences for participants to engage with geometrical concepts and ideas in fun, thought provoking, and creative ways using paper. Participants will have the opportunity to explore, question, and take away simple ideas to build an experiential base necessary for further learning in the 21st century mathematics classroom.

Three Years Later: An Experiment to Remove Streaming in Year 8 Mathematics Classes Nordin Zuber Stage 4 Room: Wentworth

The decision of whether to stream (grade) students into different classes based on test results, and if so, how to grade them, is perhaps one of the most controversial issues for secondary school teachers. In 2015, after much analysis and discussion, North Sydney Boys High School removed grading for Mathematics in Year 8. Now in our third year of non- graded classes, this presentation will look at the questions and the analysis that led to the decision to try something different, the tools developed to monitor student progress and to inform the ongoing faculty dialog. While our school, like all schools, has a very unique context, we have developed strategies, faced new challenges and learned many lessons which should be of interest to any school wishing to evaluate or examine their current grading policies.

STEM in Secondary Mathematics Ruth Glasgow Stages 4-6 Room: Bligh & Macquarie

Mathematics is the language needed by engineers and scientists. This workshop will provide innovative mathematics curriculum resources to highlight the application of mathematics to the world of STEM.

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Session 2 (Continued) Friday 15 September 2017 12:10 pm – 1:10 pm

Demystifying Statistics Thanom Shaw Stage 6 Room: Mistys

I was away the day we did statistics (truly!). If you too, were away that day, you might know how completely foreign the whole subject can feel. And having a lot of pure mathematics under your belt doesn’t necessarily help when faced with layers of unfamiliar terms and concepts. With the new syllabus on the horizon, statistics in tow, there’s never been a better time to catch up on that missed lesson. In this session I hope to demystify some of the statistical terminology, notation, and concepts that are presented in the latest drafts of the Mathematics Advanced and Extension 1 syllabuses. With a better grasp of the language of statistics, familiar concepts can then be understood and expanded upon in a different light.

Assesment in the New Standard Course Judy Binns Stage 6 Room: Pioneers

In the Assessment Guidelines for the new Standard courses it is required that one task in each of Year 11 and 12 must be an assignment or investigation-style task. This talk will present a number of ideas for this type of task for both Year 11 and Year 12 with suggestions on how to avoid the pitfalls of this type of assessment.

Are you Ready for the New Mathematics Standard Syllabus? Carmen Gould & John Ley Stage 6 Room: Norman Lindsay

From 2018, NSW maths teachers will be required to implement the new Mathematics Standard Stage 6 syllabus. The new syllabus includes a number of significant changes and content updates designed to reflect the Stronger HSC Standards and support student diversity. To ensure teachers are well informed and prepared for this change, Oxford University Press is proud to deliver a workshop with maths education expert and Insight Mathematics author, John Ley. Join John as he outlines the key features and changes of the new syllabus, including its integrated approach to mathematics application, emphasis on digital technology and significant additions to content. John will also demonstrate some of the key updates and new features of Oxford’s Insight Mathematics Standard series, which has been fully revised and updated to meet the requirements of the new syllabus.

All participants will receive a free syllabus implementation guide and one copy of an Insight Mathematics Standard book of their choice (Year 11 Standard, Year 12 Standard 1 or Year 12 Standard 2) upon publication.

2017 MANSW Annual Conference Page 13 Presentation Summaries Session 3 Friday 15 September 2017 2:10 pm – 3:10 pm

Changing our Attitudes to Assessment: Introducing Investigations and Projects Judy Anderson Stages 3-5 Room: Blaxland

Investigations and projects are not new to mathematics teaching and learning but how should we use them for assessment? Do they provide us with useful information about students' learning? Since there is now an expectation we use them in Stage 6, should we be using them in earlier grades? Come along to share your ideas and experiences.

Cultivating Growth Mindsets in the Classroom Mark Harrison Stages ES1-6 Room: Lawson

This workshop will explore the latest education strategies on cultivating Growth Mindsets in the classroom. The field of Growth Mindset education has gained considerable momentum both in terms of its science and practice. Mark Harrison will share his experience of implementing Growth Mindsets in the classroom across the full spectrum of school stages. The workshop will be a combination of lecture, reflection and small group discussion. We will look at resources and frameworks that can be applied to assist your classroom and school. This workshop will take a multilevel perspective and will encompass a range of conceptual categories including the impact of language, the influence of the classroom environment, the effect of the structure of tasks and the sway of assessment technique on Growth Mindset perceptions. This theoretical and experiential workshop offers educators and other professionals a framework to organise the different ways in which they can incorporate Growth Mindset psychology into their practice.

Visible Thinking in Mathematics Kaylene Maretich Stages ES1-3 Room: Wentworth

Visible thinking routines can be simple and applicable to all grades K-12. They can be set up as a series of short sequences or longer units that become routine the way that students “think” as they are used repeatedly so become part of the culture of the class and school. Thinking routines are central to Visible Thinking and create a culture that is goal orientated, easy to learn and use and can be applied to all Key Learning Areas. Visible Thinking encourages students to drive their own education, structure their own questions and synthesis and challenge knowledge and understanding. Visible Thinking in Mathematics creates a culture of “maths is what is needed here” to make sense of and solve problems. Schools that use Visible Thinking create critical and discerning students that are confident and astute.

SSS…. Stage Teaching in Small Secondary Schools Lee Hyland Stages 4-5 Room: Bligh & Macquarie

Many small schools are finding it difficult to cater for the large diversity of abilities in small candidature classes and begun teaching by stage rather than by year. Some ideas and planners on how this has been implemented in Murrumburrah HS in rural NSW will be discussed, looking at the successes and problems we had.

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Session 3 (Continued) Friday 15 September 2017 2:10 pm – 3:10 pm

Adjusting Your Attitude Gary Davies, Susan Turnbull & Karen McDaid Stages 5-6 Room: Mistys

Teacher expectations can have profound effects on student performance. By raising our expectations, adjusting our attitude, we may be able to enable our students to achieve results far exceeding our initial expectations. This presentation considers the research that supports this and details strategies the presenters have used to promote a Growth Mindset in the Mathematics classroom. The discussion will also consider how we can raise the bar for our Stage 5 students so that they achieve the higher bands in the HSC, optimal Stage 6 scope and sequences, the importance of algebra, the benefits/danger of acceleration and league tables. Resources will be supplied to all attendees.

Graphing Techniques for Extension 1 & 2 Elizabeth Sree Kuma Stage 6 Room: Pioneers

In Stage 4 and 5, we only just start scratching the surface on curve sketching. Students learn to plot points and recognise the basic forms of a line, parabola, hyperbola, circle etc. It is only in Stage 5 the idea of shifting graphs start. There seems to be a lack of flow from Stage 5.3 to Extension·1, and students lack the intuition of what unfamiliar graphs would look like. For these unfamiliar graphs, students would need to calculate more 'clues' before the shape of a graph takes. form. I believe there are some skills and techniques that we could introduce in Stage 5.3 which will help students who are pursuing Extension 1 and Extension 2 to build that intuition.

More Number Genetics Mike Clapper & Thanom Shaw Stages 3-6 Room: Norman Lindsay

In 2016, Thanom presented a well-received presentation on the DNA of numbers that showed how important it is for students to develop a strong understanding of prime factorisation and provided a number of innovative ways of developing tis understanding. This presentation continues the theme, focusing on the properties of multiplicative functions, which enable us to explore properties of numbers from understanding their ‘genetic’ makeup as products of primes.

A number of potential student investigations will be presented, including the search for ‘superperfect’ numbers, along with some surprising results. Finally, we will explore a number of problems which can be solved using the properties of prime factorisation.

This presentation should appeal to teachers who see the value in developing an understanding of number in their students and who wish to provide challenges and problem-solving skills for them.

2017 MANSW Annual Conference Page 15 Presentation Summaries Session 4 Friday 15 September 2017 3:40 pm – 4:40 pm

Children Think Algebraically all the Time! Exploring Patterns and Algebraic Thinking from K to 6 Fiona Foley Stages ES1-3 Room: Blaxland

Children begin to investigate patterns of objects identifying the part that repeats. Then they apply their understanding to investigate patterns of numbers that repeat through addition and subtraction, extending their understanding to investigate patterns with fractions and decimals that repeat through addition and subtraction. Algebraic thinking means looking for patterns and relationships. A practical exploration of patterns for the K-6 classroom.

Growth Mindset: What Works in Maths? Angela D’Angelo Stages 3-6 Room: Lawson

Jo Boaler is of course the guru of growth mindset for Mathematics. Her message is simple, teachers must communicate brain science to students and they must validate making mistakes. The concept raises many questions around teaching and learning in mathematics. How does assessing students using short closed questions or multiple choice questions fit in with this premise? Is it enough for a teacher to have a growth mindset themselves, or believe in growth mindset to improve outcomes for students? How does a teacher’s view of the nature of mathematics impact on how it is taught? Will this have an impact on the mindset of students and the development of their ‘maths identity’? These questions and other insights and learnings about growth mindset will be explored in this session.

Growth Mindset for Gifted Students in Years 3 - 6 Sue Wall Stages 2-3 Room: Wentworth

How can gifted students be more engaged with their mathematical learning? This workshop will focus on the use of Carol Dweck's "Growth Mindset" and of the Maker Model to assist teachers in their planning of challenging mathematical activities for gifted students. The use of mathematical investigations as a way to enhance the learning of gifted students will also be a focus of the workshop. Practical ideas will be presented for use in the classroom.

Direction Fields: Understanding Differential Equations Jonathan Kress Stage 6 Room: Bligh & Macqarie

Mathematical models of the real world often take the form of a differential equation, but solving these in terms of functions we know can be technical at best and often impossible. Direction fields provide a way to understanding the behaviour of solutions to a differential equation without an explicit solution. The latest draft of the HSC Mathematics Extension 1 syllabus introduces direction fields along with an expanded range of important differential equations used for mathematical modelling in chemistry, biology and economics. In this presentation direction fields will be explained and used to explore the behaviour of these models.

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Session 4 (Continued) Friday 15 September 2017 3:40 pm – 4:40 pm

Data - Malking Mathematics Real Peter Fox Stages 4-6 Room: Mistys

Data is most traditionally associated with statistics; however it can help bring many areas of mathematics to life, framing a context, building algebraic understanding or validating senior level calculus applications. The wealth of data sources, accessibility and digital classroom tools make data an essential resource that can help students see the relevance and importance of mathematics.

Demystifying Networks Anna Wethereld & Becky Lovelock Stage 6 Room: Pioneers

Networks are a new topic in the Mathematics Standard syllabus and form the basis of many parts of industry and technology in the modern world. They also have some surprising uses and can even be linked to Aboriginal songlines or Google page ratings. Learn some of the basic techniques and less basic intricacies of networks as well as how networks can be linked to students’ own experiences and future endeavours and ideas for investigative assessments. Get prepared for Year 12, 2019 and get inspired!

From Little Squares, Big Quadratics Grow Alistair Lupton Stage 5 Room: Norman Lindsay

A humble square of paper leads us to wonder, then to reason; and then to see the power of quadratic algebra in order to be sure of what we see - beyond all doubt. This introduction to quadratic functions comes with a unit that tackles this time-honoured mathematics in some new ways, and has been taken to new heights with a video-based introduction that you can watch, think about and share with your class. A little handheld technology is used to great effect in this unit, but none is assumed for the workshop.

5:00 pm – 6:00 pm President’s Reception All participants are invited

The President’s Reception is sponsored by:

6:30 pm – 10:00 pm Trivia Night: Explorer’s Unite – Gold Club

The MANSW Annual Conference Trivia Night is sponsored by:

2017 MANSW Annual Conference Page 17 MANSW Mathematics Teacher Education Student Prizes

Each year, Education faculties in universities across NSW are contacted and invited to nominate up to two graduating students (usually one each from primary and secondary courses), to be recognised for their outstanding performance and positive interest in promoting quality mathematics teaching and learning. In addition to a certificate, the prize winners each received one day’s registration at the Annual Conference.

This year fifteen nominations have been received from eight universities.

For the 2016 academic year, prizes were awarded to:

Clare Jones Australian Catholic University

Rose Rizk Australian Catholic University

Kerry Franta Macquarie University

Amy Lee Macquarie University

Anna Parker University of Sydney

Alice Kriesler University of Sydney

Brianna Rutter University of Technology, Sydney

Grace Quirke University of Technology, Sydney

Bree Neal University of Wollongong

Daniela Ratkovic University of Wollongong

Felicia Jaremus University of Newcastle

Danielle White University of Notre Dame

Eliza Cannon University of Notre Dame

Safya Hattom Western Sydney University

Roy Nixon Western Sydney University

The MANSW Teacher Education Student Prizes are sponsored by:

2017 MANSW Annual Conference Page 18 Presentation Summaries Introduction & Welcome Saturday 17 September 2017 8:45 am – 9:30 am

Becky Lovelock (Conference Convenor) Room: Combined Blaxland, Lawson & Wentworth rooms

Opening and Welcome to Country

Mr John Meng (MANSW President)

Presentation of MANSW Awards

Keynote Address Saturday 17 September 2017 9:30am – 10:30 am

NESA Session with Anna Wethereld NESA Inspector – Mathematics and Numeracy

Anna Wethereld works with NESA as the Mathematics and Numeracy Inspector. She comes with extensive school experience as a teacher, 13 years as Head of Department and as Deputy Principal. Most recently, Anna worked as Manager of Assessment and Certification at the Queensland Curriculum and Assessment Authority.

2017 MANSW Annual Conference Page 19 Presentation Summaries Session 5 Saturday 17 September 2017 11:00am – 12.00pm

5-8 Masterclass (11am-1.10pm) Charles Lovitt Stages 3-6 Room: Blaxland

Let’s Move on from ‘Skill and Drill’ Richard Andrew Stages 4-6 Room: Lawson

Skill and drill: ‘Listen up kids, here’s the next rule you'll need. Write it down. Now I’ll show you the rule in context. Copy that down. Now do the five text questions. I’ll show you one more rule before we get onto the worded questions.’ OK, so you don’t ALWAYS teach like this. Regardless, I’m confident the ‘skill and drill’ (procedurally-focused) method continues to be the default fall-back plan for many maths teachers around the globe. I argue that learning procedures is important for students but that the teaching of procedures should be our secondary focus rather than the primary one. There are far more effective and engaging ways to present mathematics than the traditional skill and drill, and no doubt you use some of them. Welcome to this collaborative, ‘let’s discover some excellent techniques’ workshop. I’ll demonstrate some ‘skill-and-drill’ from a topic. Then participants will be invited to suggest alternatives. I’ll offer some suggestions as well. We will explore several topics, time permitting, including solving equations, working with fractions and coordinate geometry. Guaranteed fun to be had by all!

MS-N3 Critical Path Analysis Daniel Mansfield Stage 6 Room: Wentworth

This presentation introduces the new Critical path analysis, which is a tool for analysing a multistage process by modelling it as a network and finding the bottlenecks. The Max-flow/Min-cut Theorem relates the maximum through put of a network (eg water pipes, roads, the internet, etc) to the minimum cuts required to break the network. These two networks related topics from the new Stage 6 Mathematics Standard syllabus will be explained through the use of examples.

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Session 5 (Continued) Saturday 17 September 2017 11:00 am – 12.00pm

Integrating ICT into Mathematics Corinne Vingerhoed Stages 4-5 Room: Bligh & Macquarie

Our world is become so heavy on ICT and computers to navigate in life. Integrating ICT into mathematics only seems like a logical option. My presentation is full of assignments for Stages 4 and 5 involving integration of ICT. This is mainly through the use of Excel, Forms and Word. Also highlighting the use of technological tools to enable students to explore mathematics and engage in it to help perfect their skills. Using technology to our advantage in the classroom to improve our practices and make it more accessible.

Performing the Art of Mathematics Harry Mavroleftros Stages 4-6 Room: Mistys

Mathematics is an art, in exactly the same way as (and perhaps more than) painting or music is an art. Would you want to be taught painting by a teacher who doesn’t appreciate and create paintings regularly? Would you want to be taught music by a teacher who doesn’t play and compose music regularly? It’s so important that as maths teacher we see ourselves (and become) artists first and people who perform and truly love their art. It doesn’t have to be high level ground-breaking maths, it doesn’t have to be anything beyond the school curriculum. Have you ever wondered what you get if you join the midpoints of any quadrilateral? How is standard deviation actually calculated? What even is d/dx?

Successful Research Tasks and Investigations: Lessons Learnt at Marist College Eastwood- From Go to Woe Tracey Clarke Stages 4-6 Room: Pioneers

This session will present a pros and cons look at some of the research tasks that have been successfully implemented at Marist College Eastwood over the past few years. The tasks target a variety of skills and content ranging from Stage 4-Stage 6. Some of the tasks presented will focus on the use of ICT and data, while others make use of web based resources. Research questions posed include: “Finding the perfect Vitruvian man”, “The mathematics of beautiful people”, “Gender differences in the favourite music genres of year 10” and “Using a spreadsheet to determine the line of least squares regression between height and arm-span.”

Education Perfect - Empowering and Promoting Self-Regulated Learning Tania Christie & Clare Feeney Stages 1-6 Room: Norman Lindsay

Formative assessment is that which is specifically intended to generate feedback on performance to improve and accelerate learning, and is a process to help instructors understand their students’ day-to-day learning and develop appropriate interventions to improve that learning. Education Perfect presents a platform that allows students to gain an understanding of topics through rich images and video, and provides feedback for teachers to inform ongoing teaching and learning. In this session, you will be provided with a demonstration that shows how Education Perfect allows teachers to customise content, locate and assign Australian Curriculum and NSW Syllabus aligned content, set and assess tasks, create competitions, build assessments and track student progress.

2017 MANSW Annual Conference Page 21 Presentation Summaries Session 6 Saturday 17 September 2017 12:10 pm – 1:10 pm

5-8 Masterclass (Continued) Charles Lovitt Stages 3-6 Room: Blaxland

Altitude with Attitude: How Maths Gave us Wings Michael O’Connor Stages 4-6 Room: Lawson

It was only a little over 100 years ago that the human dream of flying like a bird became a reality. In order to realise that dream it was necessary to understand how to produce forces that would overcome gravity and air resistance. The mathematics involved in designing and building a plane can all be acquired by the end of Year 12 from Extension 1 and 2 content. This session unpacks the mathematics and some of the history behind how we took to the skies.

Investigating the Circle Shane Scott Stages 3-5 Room: Wentworth

In this workshop we will be exploring the relationship between the diameter and circumference of a circle and also the radius and area of a circle. Using data logging we will be able to use statistics to then graph the variables as the circle changes in size.

illumin8: Placing Rich Mathematics in STEM Anna Playford Stage 4 Room: Bligh & Macquarie

“iLumin8” is an integrated STEAM (Science, Technology, Engineering, Arts and Mathematics) project resulting in student designed and constructed interactive light installations. Year 8 (157 students) participated and worked in normal scheduled lessons in small groups across Science, Mathematics and VA classes for a ten week term. At the outset, the project was designed to incorporate rich and authentic mathematics, in direct comparison to many STEM and STEAM projects where the mathematics component is an after thought and comprises primarily of simple numeracy in the form of basic measurement or statistics calculations. The physical outcome of the mathematics component of the integrated project involved construction of Binary Bugs, a Lumifold three-dimensional origami structure backlit by LEDs. The incorporation required the development of understanding of deep mathematical concepts such as transformations (translation, rotation, reflection), scale and ratio, binary systems and probability.

2017 MANSW Annual Conference Page 22 Presentation Summaries

Session 6 (Continued) Saturday 17 September 2017 12:10 pm – 1:10 pm

Aiming High for Everyone in Year 11 Standard Valerie Larkin Stage 6 Room: Mistys

Some practical ideas for including thinking and working mathematically activities at all stages of the new Standard course. Building on a project in Junior School, I have suggestions for setting up a classroom atmosphere where those working mathematically skills are valued.

Inspired Assessment Anna Wethereld & Nikky Vanderhout Stages 5-6 Room: Pioneers

What is the best type of assessment to do to both prepare our students for their HSC, and correctly gauge their current level of performance? How can we tailor that assessment to best benefit the student and their future performances? The presenters will share their thoughts and ideas regarding different types of assessment within the NESA framework and model some ways to deliver those assessments.

A Brain Based Approach to Learning Maths Eden Nasr & Michelle Button Stages ES1-6 Room: Norman Lindsay

Striatum - the part of our forebrain responsible for implicit learning (memorising). Developing mathematical fluency requires the activation of the striatum - which critically relies on dopaminergic and glutaminergic inputs. An effective game strategically supports these necessary reward systems through appropriate visual cues, careful timing, instant feedback and intrinsic competitions. In students, this results in effortless recall skills - forming the necessary foundation to deeper and more meaningful understanding, reasoning and problem solving. This session examines implicit and explicit learning, while providing insights to practical applications to bring into your classroom.

2017 MANSW Annual Conference Page 23 Presentation Summaries Session 7 Saturday 17 September 2017 2:10 pm – 3:10pm

MANSW AGM Room: Blaxland

MANSW encourages members to attend the 2017 AGM. During this meeting, we will have the opportunity to hear reports on the work of MANSW over the past year. The elections for the Executive for the coming year will be held.

Enriching a Deep Conceptual Understanding of Mathematical Ideas & Strategies Through Inquiry Sharon Portlock & Emma McAulay Stages ES1-3 Room: Lawson

This session will explore the positive impact of teaching mathematical understanding through rich mathematical contexts. Two highly experienced educators and school leaders from Santa Sabina College from Sydney, will outline a constructivist approach through a mathematical lens in a myriad of rich contexts. They will draw on research from Cathy Fosnot, Founding Director of Mathematics in the City and former Professor of Education at The City College of the City of New York. They will also share experiences from a Scholarship experience at The City College of the City of New York.

Minimisation of Costs while Flying at Altitude Morris Needleman Stages ES1-6+ Room: Wentworth

There is an amazing amount of mathematics to ponder while flying at altitude. This session will teach you to fly around the world for a lot less than you think. You will be exposed to secret internet forums which ponder the issues of travel.

The M in STEM Corrine Robinson & Praneetha Singh Stage 4 Room: Bligh & Macquarie

It can be difficult to engage students of mathematics in tasks that lack context and variety. STEM projects offer an opportunity to team up and implement an integrated activity that fosters 21st Century skills and engages students in real world Mathematics. As participants in the University of Sydney STEM Teacher Academy, both Corrine Robinson and Praneetha Singh have collaborated to program and implement STEM projects in our respective schools. In this session we will share our respective projects and talk about how we ensured Mathematics was an integral part of the programs.

2017 MANSW Annual Conference Page 24 Presentation Summaries

Session 7 (Continued) Saturday 17 September 2017 2:10 pm – 3:10 pm

Curve Sketching with and without Calculus Ilhea Yen Stage 6 Room: Mistys

What is the best way to teach graphing, in both the functions and calculus topics? Come and join the discussion on useful steps and strategies for students to graph a variety of functions. Let’s share our experiences and knowledge. This workshop will cover curve sketching with and without calculus, including checking graphs with Desmos.

Vectors in the New Senior Syllabus Derek Buchanan Stage 6 Room: Pioneers

As vectors will be introduced in the new senior syllabuses, teachers should familiarise themselves with this before implementation. An overview will be given in this presentation of the basics of vectors as well as some applications to geometry and physics in 2 and 3 dimensions. This will be appropriate for Extension 1 and 2 level.

Learning Number with Calculators: A Higher Purpose than Computation Barry Kissane Stages 2-4 Room: Norman Lindsay

Calculators continue to be misunderstood as instruments solely useful for undertaking numerical computations. In this hands-on workshop, we will challenge this view by considering a four-part model to understand how calculators might be used as tools for learning mathematics through representation, computation, exploration and affirmation. We will focus on aspects of the Number curriculum. Both primary and secondary teachers are welcome to attend.

2017 MANSW Annual Conference Page 25 Presentation Summaries Session 8 Saturday 17 September 2017 3:40 pm – 4:40 pm

Handfuls & Numberbusting Rhonda Mossel Stages ES1-3 Room: Blaxland

Warm up activities designed to improve students' number sense.

Evidence from the Pacific on the History of Number Kay Owens Stages 2-4 Room: Lawson

Combining linguistic archaeology and mathematics systems, a new history of number should be told in Australian schools. The longevity of the mathematical systems, their relevance to people’s lives, their innovations and sharing due to relationship building provide a fascinating history of the use of number by the multiple cultures of our region. In particular, we will look at large numbers in different systems 2 to 10 thousand years old.

FunKtion – Learning Maths Through Movement Stuart Brunsdon Stages 4-6 Room: Wentworth

This presentation will look at learning basic mathematical graphs, through movement. Teachers will observe, and participate in, examples of learning to graph various functions through movement (referred to as maths aerobics). They will take away easy to use videos, as a tool to integrate into their classrooms. Benefits to student learning include:

-Integrating movement, kinesthetic learning and visual learning -Integrating short, exciting and effective change-ups, which help re-focus student concentration -Student centred

Using Gamification in the Maths Classroom Claire Seldon Stages 1-5 Room: Bligh & Macquarie

This session will present theory and practical suggestions on how to incorporate aspects of gaming into engaging, student centred maths lessons or classrooms. These are concepts and strategies that will work across the Stages. There is a misconception that gamification of school work simply means adding scores, leader boards and or a cartoonish framework. In reality the elements of gaming that make it engaging include discovery or exploration, creativity, useable rewards, customisation and choice. Another misconception is that gamification means allowing students to play games. Although there is evidence that students do gain key problem solving and critical thinking skills from engaging in many console and computer games, using gamification in the classroom should be about taking the design elements and framework of activities that make games engaging and encourage persistence and integrating these into curriculum based lessons. This presentation will include a collation of resources and ideas from innovative educators all over the world, suggestions and practical tips for integrating these into your classroom practise and the K-10 Mathematics syllabus.

2017 MANSW Annual Conference Page 26 Presentation Summaries

Session 8 (Continued) Saturday 17 September 2017 3:40 pm – 4:40 pm

Learning with Calculators in Stage 6 Barry Kissane Stage 6 Room: Mistys

Calculators are sometimes misunderstood as examination devices, as their selection and use is influenced by external examination constraints. This hands-on workshop is based instead on a four-part model to understand how calculators might be used as tools for learning mathematics through representation, computation, exploration and affirmation. We will explore the significance of this model for a selection of mathematics topics from Stage 6 courses.

Unpacking the New Mathematics Advanced & Ext 1 Syllabus Margaret Grove & Robert Yen Stage 6 Room: Pioneers

What’s new in HSC Mathematics Advanced and Extension 1? This workshop will outline the changes to the syllabuses, the first since 1982, examining the new themes and big ideas. We will identify the topics that have changed or been moved, and focus on new topics such as advanced functions, introduction to calculus, probability distributions, conditional probability and transformations of functions.

Making Maths Education Perfect: Supporting Students in their Learning John Sowden Stages 4-5 Room: Norman Lindsay

In this presentation, John Sowden, Head of Maths at The King’s School, will demonstrate how he effectively uses Education Perfect in the classroom to provide differentiated learning and inspire his students to love mathematics. With the introduction of the HSC minimum standard of numeracy, Education Perfect Maths is a valuable resource to support students as they prepare for NAPLAN in Years 7 and 9.

6:00 pm Pre-dinner drinks for those booked for the dinner

The Pre-dinner Drinks are sponsored by:

7:00 pm Conference Dinner: Blue

2017 MANSW Annual Conference Page 27 Presentation Summaries Session 9 Sunday 17 September 2017 9:00 am – 10:30 am

Post Celebration of Mind Belinda Keir Stages ES1-6+ Room: Blaxland

Celebration of Mind is a yearly event that happens worldwide in memory of Martin Gardener. Different events occur around the world, and MANSW is holding its inaugural event at the conference. The event consists of coming along with paper and pen and trying out many of Martin Gardener's puzzles and problems. Belinda is the organizer of the Sydney MathsJam and will tell us a little about that and her trip to "Gathering for Gardner" before people have a go at some of the problems.

More Activities from Maths Inside Stuart Palmer Stages 4-6 Room: Lawson

Maths Inside is a national project funded by the Federal Government and delivered by UTS, AAMT and CSIRO. Short videos showing the maths used by CSIRO scientists are supported by practical classroom activities which show students the importance of the mathematics they are learning. These cost-free materials can be used in maths lessons or incorporated into cross-curricular STEM projects. Last year we watched a video about radio telescopes and built parabolic solar sausage sizzlers. This time we will take an in-depth look at the mathematical habits and habitats of bees. They are amazing and essential to human food production, but are also under pressure and in serious decline in some parts of the world.

A Critical Look at Task Design and Choice Katherin Cartwright Stages ES1-3 Room: Wentworth

This workshop will take a hands-on approach to changing your altitude when designing and choosing tasks. How can we critically view tasks from different angles: student needs and teacher needs? There is a plethora of activities for mathematics but how can we ensure we choose tasks appropriate for our syllabus focus and for our students? This session will look at a number of K-6 sample tasks and critically evaluating when and why you would use these tasks in your classroom.

15 x 15 minute fillers Kuldip Khehra Stages 4-5 Room: Bligh & Macquarie

So its period 6 on a Friday or you have ‘that class’ where there are constant interruptions and trying to get the class to refocus is like climbing the top of the Three Sisters. Well have no fear, in this workshop you will be walking away with quick 15 minute fillers for those periods of time where you are wondering what to do. This hands-on workshop will include literacy and numeracy games, with a little touch of ICT, higher order thinking tasks, where all the strands and the scope of learners (even those who have challenging behaviours) will be covered with the hope that come Monday morning you have more tools in your tool kit.

2017 MANSW Annual Conference Page 28 Presentation Summaries

Session 9 (Continued) Sunday 18 September 2017 9:00 am – 10:30 am

Time-saving Tricks for Stage 6 Nikky Vanderhout Stage 6 Room: Mistys

In this session we will explore some algebraic strategies that can help streamline the algebraic processes that frequently trip up Stage 6 students. Not only can these strategies save the student time when under examination pressure, they help avoid situations that may cause even more problems. Participants are encouraged to reflect on their own teaching practice and be ready to share their own tricks with their colleagues.

Using Technology to Enhance, Enrich and Extend Maths Learning Rolfe Kolbe Stages 3-4 Room: Pioneers

Practical, tried and true tips and options for using technology authentically and appropriately in maths. Reflections from the classroom and from having the opportunity to work alongside and support many maths teachers. • What constitutes authentic use of technology in maths? • How can technology enhance and enrich learning in maths? • How can technology help with teaching maths? • argggghhhh – TIME – SUSTAINABILITY! How can we do this in the time we have?

Technology can enhance and enrich mathematics learning considerably at all stages and it can help teachers with their teaching practice as well.

Bring your own device for this session.

2017 MANSW Annual Conference Page 29 Presentation Summaries Session 10 Sunday 17 September 2017 11:00 am – 12:30 pm

Making Graphing Visual and Collaborative, Using DESMOS a Free Web Based Tool Tracey Clarke Stages 4-6 Room: Blaxland

This session will provide an opportunity for participants to identify possibilities for the implementation of the free online graphing program DESMOS into the classroom. The program has many features allowing for student based inquiry learning from Stage 4 to Stage 6. Are you trying to foster algebraic understanding from both a visual and symbolic perspective? Have I got the product for you… By simply typing equations using a keyboard and a number of easily selected buttons, this graphing program quickly creates linear and non-linear graphs, allows the graphing of trigonometric functions, provides the ability to graph the derivative, allows the addition of sliders to change coefficients for exploration and to hide and reveal equations at the click of a button. Some guidance as to the features and functions of this program will be provided. However, the aim to the session is to foster teacher conversation and collaboration on the possible uses of the program through exploration. Teachers should leave this session with a lesson to implement in the classroom on Monday.

Participants will need to bring a laptop with WiFi capability for this session.

Maths Craft Workshop Julia Collins Stages 3-6+ Room: Lawson

Crafts such as knitting and origami are a great way to explore mathematical ideas. In this workshop participants will get the chance to make beautiful models and discuss ways that these can be used in a classroom. Modular origami is a way of building complex shapes from simple modules. In this workshop we will look at two particular modules which can be used to build Platonic solids, working from simple cubes up to more complex octahedra and icosahedra. Students could explore the concepts of faces, edges and vertices, and could learn how to calculate the number of modules needed for each shape. Knitting and crochet can be used to explore the concept of non-flat geometry. A simple algorithm creates pieces which model coral reefs, mushrooms and leaves. Hyperbolic geometry is a good model for these organic shapes because it maximises surface area while minimising volume (in contrast to bubbles, which do the opposite). The process of knitting or crocheting these models also allows the crafter to think about ideas related to exponential growth by seeing how the number of stitches grows in each row.

Hands on Problem Solving Debbie Smith & Derek Smith Stages 1-3 Room: Wentworth

Would you like to see your students approaching problem solving with excitement and confidence? Inquisitive Minds invite you to come along to experience fresh approaches to teaching four operations, fractions, patterns and logical reasoning. You’ll walk away with practical ideas for how to engage students in your classroom with diagrams, models and concrete materials.

2017 MANSW Annual Conference Page 30 Presentation Summaries

Session 10 (Continued) Sunday 17 September 2017 11:30am – 12:30 pm

Engagement in Mathematics K-6 Wendy Abernethy & Ruth Adams Stages ES1-3 Room: Bligh & Macquarie

Jo Boaler states that the 5 Cs of Mathematics engagement are: curiosity, connection-making, challenge, creativity and collaboration. At Tara Junior School we have been investigating the work of Jo Boaler along with 3 Act Maths by Dan Meyer with a view to engaging our students more actively, laterally and excitedly in maths. We have been considering the balance between explicit instruction and inquiry style maths. Our staff participated in a Fed Ex day in the city to gather and record real life maths provocations. Working collaboratively, we prepared 3 Act Maths Tasks based on these provocations and would love to share our journey so far with a very practical, but research informed presentation.

Teaching Strategies for the Topic of Network Concepts Don Kesby Stage 6 Room: Mistys

The implementation of the topic, ‘Network concepts’, in the new Year 12 Stage 6 Standard 2 syllabus will certainly be a challenging undertaking for many Mathematics Departments in 2019. This hands-on workshop will give participants confidence in solving network problems and present ready-to-use classroom activities. Teachers will be equipped with sound teaching strategies so they can provide students with a clear understanding of key concepts. The presenter will provide an introduction to graph theory and share a number of applications of practical situations that can be represented by a network. Teaching ideas involving the use of technology will be provided by exploring relevant ‘Geogebra’ activities. The workshop will highlight the way Prim’s and Kruskal’s algorithms can be used to find the minimum spanning tree of undirected networks. An extensive list of resources will be provided including access to relevant past paper examination questions and solutions, appropriate exercise questions, ‘N-rich’ activities and helpful links and websites.

Mathematics Mindsets Miriam Lees Stages 2-5 Room: Pioneers

Jo Boaler is a Stanford researcher, professor of maths education, expert on mathematics learning, and author of “Mathematical Mindsets”. Her work includes research into how the brain learns mathematics, and provides practical strategies and activities to help teachers and parents show that all children can enjoy and succeed in mathematics. In this talk, I will review Jo Boaler’s work, including many of the hands on activities included on her youcubed.org website. These activities promote hands-on, energetic, visual mathematics designed to fully engage the brain, and improve attitudes and learning in Mathematics.

12:30 pm – 1:00 pm Prizes & Finger Food

2017 MANSW Annual Conference Page 31

2018 MANSW ANNUAL CONFERENCE Novotel Wollongong Northbeach 14–16 September 2018

2017 MANSW Annual Conference Exhibitors Correct at time of publication

Abacus Calculators Education Perfect Nelson Cengage Australian Mathematics Trust Haese Maths Texas Instruments Blake Education Inquisitive Minds UNSW Sydney Cambridge University Press Jacaranda 3P Learning CSU Engineering Learn Implement Share EasyRead Time Teacher Maths Pathway

2017 MANSW Annual Conference Page 32 2017 MANSW Annual Conference Presenters

Wendy Abernethy Tara Anglican School for Girls Kaylene CSO Diocese of Maitland-

Judy Anderson University of Sydney Maretich Newcastle Harry Richard Andrew Learn Implement Share Mavrolefteros First Education Judy Binns Karen McDaid Western Sydney University Stuart Brunsdon Rhonda Mossel Catholic Schools Office, Lismore Derek Buchanan Study Group Australia (Taylors

College Sydney) Eden Nasr Mangahigh Morris Michelle Button Mangahigh Needleman

Katherin Cartwright NSW DoE Tania Christie Education Perfect Michael AMSI Mike Clapper Australian Mathematics Trust O’Connor Tracey Clarke Knox Grammar School

Julia Collins AMSI Kay Owens Charles Sturt University

Andrew Crisp Mathspace Stuart Palmer Angela D’Angelo Keynote Anna Gary Davies The King's School Playford Burwood Girls High School Clare Feeney Education Perfect Sharon Portlock Santa Sabina College Andrew Ferch Ascham School Corrine Robinson Penrith Christian School Fiona Foley MANSW Shane Scott Marist College Eastwood Tricia Forrester University of Wollongong Claire Seldon Department of Education Ruth Glasgow NSW Department of Education Thanom Shaw SCEGGS Darlinghurst Margaret Grove Cengage Praneetha Singh The Hills Grammar School Mark Harrison Keynote Maree Skillen UTS: INSEARCH Lee Hyland Murrumburrah High School Debbie Smith Inquistive Minds Danielle Karis Inaburra School John Sowden The King's School Don Kesby Trinity Grammar School Elizabeth Sree Kuldip Khehra Quakers Hill High School Kumar Baulkham Hills High School Shool of Education, Murdoch Susan Turnbull Hunters Hill High School Barry Kissane Uni Nikky Rolfe Kolbe St. Andrew's Cathedral School Vanderhout NESA St Marys Star of the Sea Corinne Valerie Larkin College Wollongong Vingerhoed HSPA Miriam Lees Blacktown Boys' High School Nicola Wall Mathspace Becky Lovelock NESA Anna Wethereld NESA Charles Lovitt Keynote Robert Yen Cengage Learning Australia Alastair Lupton Le Fevre High School / Potts Ilhea Yen Canterbury Girls High School Baker Institute Nordin Zuber North Sydney Boys HS Daniel Mansfield UNSW Sydney

The 2017 MANSW Annual Conference Presenter Gifts are sponsored by:

AND

2017 MANSW Annual Conference PagePage 33 2 2017 MANSW Annual Conference Participants Correct at time of publication: Some participants have requested that their name not be published in the conference booklet.

Ruth Adusu Carinya Christian School Eliza Cannon Linda Ali Ashcroft High School Sharon Chandler Mater Dei Catholic College Heather Allan Ravenswood School for Girls Xiao Chirgwin Penrith High School Leonie Allport Crookwell High School Irene Chork Sydney Technical High School Gary Andon Engadine High School Alfred Chu The Scots College, Sydney Marco Angelini UTS Leigh Coates Toronto High School Evie Apfelbaum Moriah College Charlene Coates Hunter Christian School Tricia Armstrong St Mary's High School - Gateshead John Connell Girraween Public School Ashvin Ashok Castle Hill High School Sharon Connell Castle Hill High School Amy Asquith The Scots College Seby Costa Crestwood High School Lilian Au Muirfield High School Michelle Cottier Macquarie College Ken Auld St Aloysius College Nick Coucouvinis Sydney Montessori School Bob Aus Retired life Jasmina Cox St Clare's Catholic Farid Awad Holroyd High School Brisbane Water Secondary Belinda Aylett Westfields Sports High School Jane Crump College - Woy Woy Campus Kathrine Baguley St Mary's High School - Gateshead Gisella D'Angelo Loreto - Kirribilli Tina Bales Penrith High School Melhem Daghel Quakers Hill High School Jason Davies Rouse Hill Anglican College Jennifer Barber Quakers Hill High School Allison Davis Barker College Geordie Barham Newington College Judith Davis Condobolin High School Andrea Barkla The Riverina Anglican College Dennis Dembo Moriah College Chris Barrett SCEGGS Darlinghurst Paul Dempsey Saint Benedict's Catholic College Leah Barry The Forest High School Coffs Harbour Christian Bernice Beechey Australian Catholic University Consuela Despi Community School Stephen Zina Di Pino MANSW Bellhouse St Paul’s International College Trung Diep Sarah Redfern High School Suzie Berry Chifley College Senior Campus Stacey Donoghue Carroll College Alan Blyth Forbes High School Donna Dorahy Hebersham Public School Murray Blythe Megan Boltze Ashcroft High School Peter Drysdale The King’s School Riana Du Preez Oxford Falls Grammar School Lynn Bornstein Moriah College Melissa Dullege Queenwood School for Girls Angela Bottaro- Hunter School of the Performing Porter Forbes High School Ian Dunlop Arts Anthony Freyja Dunn Bougatsas Broken Hill High School Tania Eastcott Barker College Paul Bowyer Casimir Catholic College Leonie Ebzery Nowra Public School Janette Brahe Glenwood High School Grace Eppelstun Oxley High School Michaela Epstein Maths Pathway Darren Brett Tara Anglican School for Girls Joanne Evans Catherine McAuley High School Deborah Bridge Colo High School Alan Evanson MacKillop Catholic College Ben Bridges The King’s School Marianne Fabits SCEGGS Darlinghurst Kate Briggs Barker College Matthew Fanning Cranbrook School Sally Brimfield SCEGGS Darlinghurst Andrea Ferguson Newcastle Grammar School St John the Evangelist Catholic Michelle Dianne Bryce High School, Nowra Ferguson The Scots College, Sydney Lalit Buhagiar- Patricia Finch Kinross Wolaroi School Sharma Elyse Finnerty Christina Bush St Mary's High School - Gateshead Annette Jeff Canning Newington College Fitzgerald Macarthur Anglican School 2017 MANSW Annual Conference

Susan Howlett Dubbo School of Distance Education Ann Fletcher Burwood Girls High School Alice Hudson The Armidale School Kerry Franta James Hurley Girraween high School Courtney Alan Hutchison Carinya Christian School Freebody Mater Dei Catholic College Chi Huynh The King’s School Terry Gainey Castle Hill High School Hyung Sun Dean Galanis Casimir Catholic College Hwang North Sydney Boys High School Sanaa Ghabbar International Grammar School Paul Hypatidis William Carey Christian School Tracey Gibbons Bega High School Alison Irvine Henry Kendall High School Jacob Gibbons Marcellin College Katie Jackson Ravenswood School for Girls Andrew Gill St Joseph’s College Lochinvar Felicia Jaremus Charmaine Anne Jenkins Toronto High Gonzales University of Technology, Sydney Alexander Karen Gourlay The Forest High School Johnson Wenona School Mary Ann Grant Abbotsleigh Clare Jolliffe Macquarie College Seon-Jung Andrew Jones The Henry Lawson High School (Christine) Ha Burwood Girls High School Sarah Jones St Columba Anglican School Christos Halkidis Homebush Boys High School Lauren Juhn North Sydney Girls High School Ros Hamblyn Barker College Lainie Kalnins Barker College Graham Hanlon Barker College Lisa Karbon The Ponds High School Jayantha Anju Katyal Penrith High School Hapukotuwa Colyton High School Jaspreet Kaur Homebush Boys High School Christine Helen Kay St Johns College - Dubbo Harrison Wyong Christian School Sita Kaye SCEGGS Darlinghurst Safiya Hattom Hunter School of the Performing Genevieve Hayes Newington College Megan Kearney Arts St Joseph's Catholic College - East Chris Kearns Shire Christian School Ruth Hayes Gosford Richard Kerr Rouse Hill Anglican College Catherine Heap Kandos High School Souad Khodary Sir Joseph Banks High School Nicole Hearne Northholm Grammar School Lauren Killin Santa Sabina college Farah Cathryn Killin Arden Anglican School Heidarishahi Castle Hill High School Michael Min Sub Laure Helme- Kim Parkes Christian School Guizon SCEGGS Rucia Hye Ran Elizabeth Kim Katoomba High School Hemmings St Mary's Senior High School Min Sub Kim Parkes Christian School Catherine Jonathan Kim Henderson Sing Galston High School Deborah All Saint's College St. Joseph's Hennessy Crestwood High School Sandra Kinloch Campus - Lochinvar John Hepworth MacKillop Catholic College Cheryl Kinsey Richmond High School Jonathan Hick St Scholastica's College Lyndsay Klopper James Fallon High School Tracey Hickey Wyong Christian School Angela Ko Catherine McAuley Westmead St John the Evangelist Catholic Rolfe Kolbe St. Andrew's Cathedral School Carla Hill High School, Nowra Krzysztof Kukielka NA Michelle Hill Kinross Wolaroi School Nilesh Kumar SBCC Lauren Hobson Shire Christian School Karen Lak Newington College Kerri Hogan St Mary's High School - Gateshead Manjulavani Carissa Howell Seven HIlls High School Lakshmipathy Homebush Boys High School

2017 MANSW Annual Conference Page 35

Gordon Sunita Lampinen Glenwood High School Moncrieff St George Girls High School Peter Laybutt University of Sydney Kate Moore Redlands Amy Lee Alex Morrison Tomaree High School Philippa Lees Brigidine College St Ives St John the Evangelist Catholic Ben Leffley Wollondilly Anglican College Lisa Murphy High School, Nowra David Lempert Galston High School Matthew Ria Lenard Hunters Hill High School Muscatello John Therry Catholic Roy Leon Cruz Woolooware High School Robin Nagy Redlands School Rosemary Leslie Cheltenham Girls High School Mahdiya Nahid Sydney Technical High School Tom Lever Newington College Ferial Nand Glenwood High School Jennifer Lill Henry Kendall High School Joe Nawiesniak Bega High School Crystal Little Maitland Grossmann High School Morris Christopher Lloyd Crestwood High School Needleman Richard Loane Thomas Hassall Anglican College Ben Neilsen Hunters Hill High School St Patrick's College - Sunny Ng Rouse Hill Anglican College Stuart Lord Campbelltown Sheona Nicoll Wyong High School Kirsty Lovett Cheltenham Girls High School Roy Nixon Annette Lynch Loreto - Kirribilli Carolyn Nolan Lambton High School Renee Lyon Tomaree High School Sovattha Norman Penrith High School Rod Lyon Tomaree High School Bronwyn Dan Mackay Corpus Christi Catholic High Opferkuch Nowra High School Joseph Madani St. Pius X College, Chatswood Sandra Palmer Cranebrook High School Joanne Magner St Patrick's marist college dundas Anastasia Panas Kincoppal-Rose Bay School Alvin Mak Baulkham Hills High School Michelle Leena Malhotra Mercy Catholic College Papsdorf Kinsgwood South Public School Lindisfarne Anglican Grammar Patrick Parker Sydney Boys High School Frank Malone School Anna Parker Brull Simon Marrable Arden Anglican School St Michael's Catholic Parish Michael Masige St Mary’s Colege Gunnedah Ronelle Peardon Primary School Hayley Maye Tuggerah Lakes Secondary College Joelle Pearn Department of Eduation Alysha McBride Singleton High School Maths Learning Centre, Sydney Michele Mccabe St Scholastica's College Geoff Phillips University Ben McCartney Mount View High School Graeme Phillips Newington College Christine Karen Pittard Redlands McClean Russell Player Forbes High School Narelle McKay Jamison High School Matt Polak St Johns College - Dubbo St John the Evangelist Catholic Thomas Polak St Johns College - Dubbo Mark McKinnon High School, Nowra Cassandra Hunter School of the Performing Jo Meagher Loreto - Kirribilli Portelli Arts Zehra Mehdi Glenwood High School Sydney Distance Education High John Meng Rooty Hill High School Ian Porter School Jay Meyer Edmund Rice College Barbara Porter Redlands Maureen Milgate St Mary's School Wellington Anu Prakash Richmond High Corpus Christi Catholic High Shammi Prasad Plumpton High School Susan Millet School Emily Pratt Barker College Kym Millikin Carroll College Scott Preskett The Scots College, Sydney Shirley-Anne Sarah Pritchard Toronto High School Moncrieff St George Girls High School Robert Prudence Singleton High School Georgie Pryer Colo High School Page 36 2017 MANSW Annual Conference

Mao Qu Ambarvale High School Francine Thanos Department of Education Maria Quigley The University of Sydney Lorena Thill Catherine McAuley High School Rhonda Ramsey Beverly Hills Girls High Bruce Thomas Rouse Hill Anglican College Kevin Rees Killara High School Sydney Distance Education High Glyn Regler Nga Ruki Gulgul Central Nina Thomas School Shirley Ren North Sydney Boys High School Matt Thompson Department of Education Jason Ribbans Baulkham Hills High School Michelle Brett Richardson Edmund Rice College Thompson Kinross Wolaroi School Susan Riley Parkes High School Peter Tompkins St Andrew’s Cathedral School Janet Robins Dubbo Christian School Ian Tonkin O'Connor Catholic College Kellie Robinson St Paul’s High School Booragul Jenny Toohey Corpus Christi Catholic High Stella Robinson St Aloysius College Siobhan Toolan SCEGGS Darlinghurst Debbie Rose Concord High School Michelle Briana Rutter Tregoning Department of Education Shefali Sadh Hunters Hill High School Jennifer Truong Sarah Redfern High School Manorma Sahay Cambridge Park High School Shirley Tubb Pennant Hills High School Darius Donella Tutt The Armidale School Samojlowicz MANSW Antoinette Karin Sandyford Redlands Vancuylenburg Cheltenham Girls High School Subra Christine Sasisekaran Chifley College Senior Campus VanRyswyk St Marys Senior High School Mason Schrack Thomas Hassall Anglican College Doug Vass Newington College Tia Scott James Fallon High School Kathleen Claire Seldon Department of Education VIllanueva Blacktown Boys' High School Bharti Sharma Magdalene Catholic High School Greg Wagner Moriah College Sushma Sharma Chifley College Dunheved Campus Stephanie Vivienne Wagner Cammeraygal High School Sheridan Canberra Grammar School Julie Walker Loreto - Kirribilli Rashmi Singh Homebush Boys High School Sue Wall St Ives North Public School Scott Smith Richmond High School Rachel Waller Condobolin High School St Mary's Catholic College Chang Gang Sharon Smith Gateshead Wang Bourke High School Helen Spencer Cobar High School Anna Waters Kinross Wolaroi School Vidya Srinath Kingswood High School Gillian Watts Maitland Grossmann High School Megan Stavert Thomas Hassall Anglican College Cameron Wells Whitebridge High School Pamela Stergiou Sydney Technical High School Wendy Daniel Stevenson Thomas Hassall Anglican College Westaway Nowra Public School Phil Stollery St Pius X College Chatswood Kris Westcott Leumeah Public School Matthew Stone Westminster School Jenny Heather Stone Inaburra Westerbrink Tara Anglican School for Girls Gayathri Helen Wilks San Clemente High School Sujeevan Holroyd High School Kirsty Wilson Tuggerah Lakes Secondary College Ros Summerfield Brigidine College St Ives Jennifer Woods Kincoppal Rose Bay School Steven Swenser Mentone Girls' Grammar School Betina Wrightson Abbotsleigh Tina (Yujie) Tang Queenwood School for Girls Trevor Wykes The King's School Catherine Tang- Holly Young Kinross Wolaroi School Vrataric Epping Boys High School Erica Yun Arthur Phillip High School

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2017 MANSW Annual Conference