Come and join us as we take mathematics professional learning and development to a new level. How does maths get used in the everyday world of commerce, research and innovation?

Stories, site visits and each other. Game On.

Workshops

NZAMT16 has a wide range of workshops for you to attend.

Day 1 – Tuesday 1 October
A Cross-Curricular Learning Program

Presented by Zac Rutledge.
Aimed at intermediate and secondary teachers

In 2017 Thames High School transitioned from traditional model of learning to a cross-curricular model for its junior school. You'll find out what life is like in our Junior School now and how students learning is being organised to help meet the needs of 21st century learners. You'll get the chance to relive your own 3rd form year as if you too were only 13 years old in 2019! The presentation is made through the lens of the Mathematics learning area and you'll also have the chance to join the discussion around what these changes mean for the teaching and learning of Mathematics.

BRANZ

Aimed at everyone

Industry visit (2 hours, including travel time Wksp #1 and 2)- BRANZ An independent research organisation providing impartial evidence-based advice on critical issues in building and construction in New Zealand, to industry and government. BRANZ provide testing and consultancy services that drive better performance. They undertake and invest in research by BRANZ science teams and external research agencies to unlock new knowledge, addressing current and emerging challenges of our built environment. See testing of NZ and overseas products being tested and seeing the Mathematics and Statistics behind the mahi.

https://www.youtube.com/user/BRANZmedia?blend=3&ob=5

Effective differentiation in the maths classroom

Presented by Helen Adams.
Aimed at intermediate and secondary teachers

At our school we have set up Self-Regulated- Learning modules using the google suite plus Education Perfect. It has allowed for effective differentiation in the classroom. It has also led to an improvement in student self-management.

Exploring the Learning Progression Frameworks

Presented by Dr Gill Thomas.
Aimed at everyone

This session will explore the Ministry of Education's curriculum progress tools website. The site reintroduces the Learning Progression Frameworks (LPFs) and PaCT (post National Standards) as tools that together help teachers understand what progress looks like in mathematics and statistics and provide a robust and efficient way to track that students are developing the knowledge and skills that they need across the curriculum and for life. Participants will get an opportunity to use a range of resources, designed to support teachers in understanding how and why they would use the LPFs. 

Flight Plastics

Aimed at everyone

Industry visit (2 hours, including travel time Wksp #1 and 2) - Flight Plastics Australia and New Zealand’s leading independent plastic sheet and packaging manufacturer. Flight Plastics leads the way on recycling PET, opening a brand new integrated PET recycling plant in 2017. PET is the most used packaging material in the world today, and now Flight offers its customers a range of high quality food safe, rigid plastic containers made from recycled PET (RPET). Join us on a tour of this technology driven company to hear about the process of the PET to other recyclibale products, the mathematics and Statistics that assisted the company recycle our plastic waste.

https://www.flightplastics.co.nz/about/

Gamification and place value

Presented by Dan Green.
Aimed at primary and intermediate teachers

A range of games and activities I have found that help students to develop conceptual understanding of place value. Upper Primary/Intermediate

Geometry through LOGO

Presented by Dr Gillian Frankcom.
Aimed at intermediate and secondary teachers

Learn how to use the primitive instructions in programming to help students discover the basics of plane figures and angle sum of polygons. Investigations abound when programming, as students must do it for themselves.

In-flipped classroom

Presented by Liz Sneddon.
Aimed at secondary teachers

Have you heard the term in-flip before? It's a variation on Flipping the classroom. A big part of my personalisation of learning involves the in-flip classroom, requiring access to resources via my website.

Kids just want to have fun... with Maths

Presented by Phil Truesdale.
Aimed at secondary teachers

Wouldn't it be great if kids did maths just for fun?

MathsCraft

Presented by Anthony Harradine.
Aimed at intermediate and secondary teachers

Spend a while doing mathematics like a research mathematician. Given a problem, together with some friends, wrangle it. 

http://mathscraft.org

Practical Activities to Use in the Classroom

Presented by Karen Chow.
Aimed at secondary teachers

Sometimes, the big ideas can be overwhelming when it comes to implementing change in your teaching practice. Over the years, I have found and refined a number of activities for ideas that have been challenging for students to engage in. Some of these activities will be hands-on and examples of how they can be effectively used in class will be part of the workshop. The focus will primarily be on Algebra and Statistics at a Year 9 and 10 level, but some of these activities can be extended to other levels.

Seismology, understanding and modelling what future earthquake shaking can we expect in New Zealand?

Presented by Matt Gerstenberger.
Aimed at secondary teachers

To build the models we rely on various fields of earth science including geology, seismology and earthquake engineering; however, at the core of the model lies statistics. Using observations and models of what earthquakes have occurred in the past thousands of years, we are able to develop models of what is likely in the next year, or in the next 50 years. The types of models we use range from relatively simple empirical equations fitted to observations of ground shaking or earthquake rates to more sophisticated models that use equations from physics to model how earthquake waves propagate within the Earth. Ultimately there is large uncertainty around all of these models, and none of them are fully correct. We therefore get our best forecasts by combining multiple models and using statistics to optimise the model combinations so we take the best parts of each model. A current focus in such modelling is in getting the best estimates in uncertainty. This is done via mathematical models of individual parameters and also in understanding the uncertainty that is represented by having different models that capture a different part of our knowledge of how earthquakes occur. Finally, as with any good scientific hypothesis, it is important that we test our models, to see how good or bad they are. Given the relatively slow rate of occurrence of earthquakes, this is very tricky to do, but we are able to develop statistics based tests that can help us to improve the models and develop confidence in them. Often these models require subjective judgment from “expert” scientists. We test the scientists too! We do this to understand how good they are at assessing the limits in their own knowledge, and as with the earthquake tests, this is heavily reliant on strong statistical methods. GNS Science is a Crown Research Institute that researches numerous topics related to the Earth. My role at GNS Science is to lead the Hazards and Risk Management Research Programme and the National Seismic Hazard Model. I am a seismologist, which means my particular research focus is around earthquakes. In my training I specialised in geophyiscs and statistics and now much of my work is related to understanding and modelling what future earthquake shaking we can expect in New Zealand. The output of this modelling helps to guide various decisions around New Zealand, including how strong buildings should be made (i.e., what level of shaking the need to withstand), and provides other information such as probabilities of aftershocks during the Canterbury Earthquake Sequence.

Student agency and being a better teacher

Presented by Bernie Wills.
Aimed at intermediate and secondary teachers

When they got to talking about their teaching, two Maths teachers decided that they weren't doing a very good job and wanted to change. They accepted that anything new would be constrained by existing timetabling and classrooms.

The Classroom Routine with Education Perfect

Presented by Ben Hilliam.
Aimed at secondary teachers

In this session, Ben will model what a teacher using EP Maths might look like in a modern Maths classroom. Come and experience EP Maths through a student's perspective and see how technology can become a transparent layer in your classroom to maximise learning and minimise teacher workload. Ben will demonstrate how to use automatically marked Assessments to set Targeted Remediation, how to generate Comparison Reports between pre and post tests and how to increase student fluency in key maths skills. This enables teachers to use data led insights to inform their pedagogical choices. Suitable for teachers ranging from complete beginner to intermediate users of EP.

Top Tips to Accelerate Learning

Presented by Ian Stevens.
Aimed at primary and intermediate teachers

This workshop looks at practical tips to accelerate student learning in primary school classrooms. The complexity, wide range of abilities and competing demands in classrooms makes this very challenging, however there are research based and classroom tested ideas that can turn strugglers into successful, actively involved and positive students. This workshop rejects the idea that some students cannot learn maths.

Using Google classroom and Goobric apps to support Mathematics and Statistics formative and summative NCEA assessments.

Presented by Sophie Wright.
Aimed at secondary teachers

Using Google classroom and Goobric apps for Mathematics and Statistics formative and summative NCEA assessments.

What makes a good problem solver? Lessons from a decade of the NZ Engineering Science Competition

Presented by Peter Bier.
Aimed at secondary teachers

For the last 10 years I have run a day-long mathematical modelling competition, where teams of senior secondary students from all over the country attempt to solve a real-world problem using mathematics. Each year's problem is short to state but challenging to tackle, e.g. "How much fuel is required for a manned mission to Mars?" The reports submitted by each team provide a snapshot of how students approach challenging, open-ended problems. This session will reflect on what makes a successful mathematical problem solver and strategies we can use to encourage students to become better problem solvers.

Basic Bloodstain Pattern Analysis; Area of Origin Determination

Presented by Dr Stephen Cordiner, Dr Therese De Castro.
Aimed at secondary teachers

Forensic scientists seek to reconstruct events at a crime scene. In relation to bloodstains there are usually two basic questions: (1) Who is the blood from? and; (2) How did it get there? To answer the second question bloodstain pattern analyses is used. This workshop will demonstrate how a forensic scientist can use basic trigonometry to determine the location of the source of blood from a pattern of bloodstains spattered on a wall. This will involve selecting bloodstains for analysis, determining the anles of impact, and using string lines to locate the area of origin.

Building and using a Lightboard for Flipped Learning videos

Presented by Bernie Wills.
Aimed at everyone

Having decided to use Flipped Learning practices in our new course, we needed to source videos to deliver the skills to students. Aware of the research that points to increased engagement when students recognise the presenters, and the value of body language, we realised that we should make our own videos. To do this in the best way we could, we designed and built a lightboard. Come and use the lightboard, hear about the decisions we made and the steps we used to get the videos to students and the advice we gathered about making videos.

Class Activity for AS1.10 Investigate Multivariate Data

Presented by Judy Randell.
Aimed at secondary teachers

Comparing box plots: A hands on group activity to help students with those elusive analysis comments when comparing box plots. This workshop is suitable for Yrs 9 to 13 and will include writing the Question: the progression from 1.10 through 2.9 to 3.10, and the key differences between these 3 inference standards. A chance to share experiences and learn from each other. For a number of years I have led the teaching of Statistics, including Scholarship, at my school, and I have experience teaching and assessing all 3 Inference Standards, along with other Statistics Standards at NCEA Levels 1, 2 and 3.

Cross-curricular mathematics.

Presented by Zac Rutledge.
Aimed at secondary teachers

In this workshop, I'll present a range of cross-curricular units that have been successfully trialed and written up for use in schools. The units are for maths teachers who are working with teachers of other curriculum areas and go beyond simply working under a common theme. In these units the two learning areas are integrated and a common project is completed that helps make the learning from both curriculum areas more engaging and authentic.

Dots and Tods

Presented by Derek Smith.
Aimed at everyone

The use of diagrams in solving mathematical problems has long been a technique to support students in their learning. This interctive workshop will look at the use of 'Dots and Tods' to assist students in solving mathematical problems with a focus on division and place value. This technique has been used in classes to develop the idea of division of polynomials as an algebra technique.

Exploring the Learning Progression Frameworks

Presented by Dr Gill Thomas.
Aimed at everyone

This session will explore the Ministry of Education's curriculum progress tools website. The site reintroduces the Learning Progression Frameworks (LPFs) and PaCT (post National Standards) as tools that together help teachers understand what progress looks like in mathematics and statistics and provide a robust and efficient way to track that students are developing the knowledge and skills that they need across the curriculum and for life. Participants will get an opportunity to use a range of resources, designed to support teachers in understanding how and why they would use the LPFs. 

Hills Hats

Aimed at everyone

Industry visit (1 hour, including travel time Wksp # 2) - Hills Hats Visit the amazing world of hat making. A long established business that began in 1875 in Wellington. View the design, cutting, manufacturing, creating of numerous head fashions. Hear their history and view the shop floor as you weave your way through this amazing industry.

https://www.hillshats.co.nz/ https://www.hillshats.co.nz/blog/

Investigating contexts that matter in Statistics

Presented by Sarah Howell.
Aimed at secondary teachers

Looking for engaging contexts to hook students into Statistics enquiries? Contexts where students can activate their prior knowledge when exploring data to make meaningful connections? Contexts which allow students to develop their citizenship skills?

Now What? Effectively Using 'Connecting All Strands' Resources

Presented by Joel' Bradley.
Aimed at everyone

In this workshop for years 3-10 teachers, we unpack the Caxton Educational (CaxEd) Connecting All Strands series. Participants learn to use both the Online Teacher Resource and Student Resource Textbook for greatest classroom effectiveness. Particular spotlight given to differentiation, mixed grouping, rich tasks, and sharing real-life teacher suggestions. This is a commercial presentation.

Number sense to algebra

Presented by Julie Crawford.
Aimed at everyone

Is there really any value in knowing how to solve 24 x 5 six different ways? Numeracy strategies vs the algorithm ... or shall we just give everyone a calculator?

R coding for statistical analysis

Presented by Jane Swire.
Aimed at secondary teachers

Using r to track the achievement of students in year 9 and year 10, track endorsement students at NCEA, identify struggling students at all levels, produce automated reports to parents and much more. The potential of r in mathematics teaching. Ways to make r accessible to students. Steps to develop your own understanding of r for a complete beginner.

The Review of Achievement Standards and NCEA change package

Presented by Lauren Burr.
Aimed at secondary teachers

In this session, the Ministry of Education team will answer any questions about the NCEA change package released in May and explain the next steps in terms of the Review Of Achievement Standards (RAS).

The simplicity and complexity of Numbers and Operations. (Teachers of Year 1 – 10)

Presented by Paul Cliffe.
Aimed at everyone

Numbers are used every day to categorize much of the world around us, but they cannot sit comfortably in our minds without a clear perception of the operations that connect them. Number is at the heart of every mathematical learning endeavour, and yet many of our students are struggling to understand their value. All number representations involve mathematical operations, so this workshop looks to provide a foundation for developing an intuition about all numbers that will create a deeper understanding of Mathematics.

Updating the Mathematics and Statistics Learning Area: What could this look like?

Presented by Jane McChesney.
Aimed at everyone

It is twelve years since the New Zealand Curriculum was published, and this workshop explores possibilities for a Mathematics and Statistics section, if there is to be an updated curriculum. We will explore the potential range of content and progression of student learning, and investigate other more recent mathematics curricula eg from Australia and the USA. This workshop also explores with activity and discussion the role of 'key competencies', 'capabilities' and 'big ideas' in forming a more integrated or connected approach to mathematics and statistics content and process. And finally, with a focus on Years 7-11, Levels 4 to 6, we will discuss possible relationships with other curricula information such as the Elaborations, PaCT, the NDP stages, and the NMMSA framework as these sometimes serve as a proxy or working curriculum for teachers.

Using Computers in a Maths Classroom with Year 11/12+ Students

Presented by Robert Rook.
Aimed at secondary teachers

This session will run through using technology in the classroom for Years 11/12+. 

What is this PAT information telling me about my own practice and my students?

Presented by Cathie Johnson.
Aimed at everyone

Do you wonder where to begin with the reports created from the PAT: Mathematics assessment? This workshop will explore how you can consider your own practice and your students' strengths and next learning steps. Included will be discussions on scale score vs stanines, differentiating assessments, conceptual progression through the tests and exploring the reports. 

What makes a task rich?

Presented by Julie Roberts.
Aimed at everyone

How rich are those tasks your creating or using presently? Rich tasks provide opportunities for students to purposefully develop aspects of their capabilities at the same time as they learn "content" and/or develop skills. This workshop will explore a range of tasks (rich problem, equipment based task, game etc) at Level 3 - 4 of the NZC. We will use the new NZCER 'Rich task' card deck to evaluate the tasks and consider ways to adapt and extend.

Day 2 – Wednesday 2 October
Accelerating progress in Year 7 to 10

Presented by Rochelle Telfer, Dianne Ogle.
Aimed at intermediate and secondary teachers

Last year our year 7 to 10 students the equivalent of 2 years progress on average. More importantly, students attitude to maths and their confidence has improved. I will talk about the changings we have made to our teaching programme including the use of rich tasks to raise achievement. I will also discuss how we measure the improvement and how we discuss this with students

Callaghan Innovation – Measurement

Aimed at everyone

Industry visit (1.5 hours, including travel time Wksp #3) - Callaghan Innovation’s Measurement Standards Laboratory (MSL) NZ’s official standards body for measurement. The team’s knowledge and expertise around measurement helps businesses with their research and development, to meet regulatory compliance requirements, and to gain access to international markets. Callaghan Innovation Measurement Standards Laboratory. Counting Electrons (1) One of the main goals of present-day metrology is establishing the standard of electric current by counting electrons one-by-one as they pass through an electronic circuit. Devices that have been fabricated for this purpose can be used to controllably put a single electron in a "box" (small metallic island). The state of the box can be described as 1 (electron in) or 0 (electron out). Such devices represent the end goal of miniaturisation of digital electronics. On the other hand, when placed in a state of 1 and 0 simultaneously, which can be achieved owing to the wave nature of electrons, these devices can serve as a representation of a qubit (quantum bit of information). International effort is growing to develop large-scale quantum computers. They are expected to help solve some of global challenges from drug discovery to climate change. In this talk, I will provide a brief overview of single electron devices and show some examples of mathematics used for their modelling. Galactic Archaeology, Squeaky Hips and Balancing Jet Engines (2) MSL uses a Coordinate Measuring Machine (CMM) to measure the shape and form of mechanical parts for various NZ industries and researchers. We'll visit the laboratory where we do this, see a CMM in action, and talk about how we use coordinate geometry and trigonometry to calculate parameters from our x, y, z measurement coordinates. We'll particularly look at the large lenses we measure for KiwiStar Optics a NZ manufacturer of precision optics for astronomy.

Finacial Capability - a discussion

Presented by Jenny Engelbrecht.
Aimed at secondary teachers

More and more Maths teachers are being asked to teach the newish Financial Capability Standards. This will be a Forum to discuss the Standards from Level 1 - Level 3. A "I teach it like this" discussion. And a chance to make connections with other Financial Capability teachers

Flipping the maths classroom

Presented by Francis Leslie-Ellis.
Aimed at everyone

Learn how to use Google classroom, Edpuzzle, Screencastify and Tes Blendspace to flip your classroom lessons. 

Fractions

Presented by Anthony Harradine.
Aimed at everyone

Too hard basket? Nope. Come along and hear about a learning trajectory that provides the opportunity for students to make sense of fractions, and operating with fractions, in a way you may not have considered. Included will be a "new" activity that builds on Josh's Journey (if you have not previously seen JJ, it will not matter).

GeoGebra Introduction

Presented by David Amrein.
Aimed at everyone

An introduction to one of the most dynamic software applications I have come across in my teaching career; useful for teaching and creating accurate and professional diagrams without cutting and pasting and adding textboxes everywhere...

I notice... I wonder...

Presented by Robyn Headifen.
Aimed at intermediate and secondary teachers

"Statistical thinking will one day be as necessary for efficient citizenship as the ability to read and write." – H.G. Wells This hands on workshops is for teachers who are new to the teaching of statistics or looking for a refresher. With the explosion of data, interpreting statistics has emerged as an important skill to have. We will engage in activities that develop statistical thinking in Years 7 –10 and begin the journey of looking at how we collect and describe what data shows and tells us.

Interesting Algorithms for real world problems

Presented by Peter Andreae.
Aimed at secondary teachers

There are lots of interesting algorithms for problems that matter in the real world. Often these algorithms are explained with tiny examples that make the problem seem trivial, the algorithm uninteresting, and the mathematics irrelevant. But with slightly larger and more realistic examples, the problems immediately become challenging, and students can see the power of good algorithms and the importance of the related mathematics. This workshop will explore several such problems and algorithms, which could be used in high school classrooms.

Just hit like! Data science for everyone, including cats (and maybe dogs)

Presented by Anna Fergusson, Chris Franklin.
Aimed at secondary teachers

Data science is all about integrating statistical and computational thinking with data. In this hands-on workshop we will explore a collection of learning tasks I have designed to introduce students to the exciting world of image data, measures of popularity on the web, machine learning, algorithms, and APIs. We'll explore questions such as "Are photos of cats or dogs more popular on the web?", "What makes a good black and white photo?", "How can we sort photos into a particular order?", "How can I make a cat selfie?" and many more. We'll use familiar statistics tools and approaches, such as data cards, collaborative group tasks and sampling activities, and also try out some new computational tools for learning from data. Statistical concepts covered include features of data distributions, informal inference, exploratory data analysis and predictive modelling. We'll also discuss how each task can also be extended or adapted to focus on specific aspects and levels of the statistics curriculum. Please bring along a laptop to the workshop.

Knowing Math as Doing Math

Presented by Julia Bevin.
Aimed at everyone

How well can we teach mathematics skills and knowledge through Project Based Learning? In 2018 I was very lucky to be chosen as a Core Education e-fellow. This gave them the time and opportunity to carry out action research to answer this question. Alongside my students I have developed real life, meaningful, project-based learning experiences. Through this process I tracked and monitored the mathematical skills and knowledge that students were learning, and addressed any areas where their learning needs were not being met. I was also explored changes in their motivation for mathematics learning and their view of themselves as mathematicians.

Making Measurement Sense in levels 3 to 5 of the Curriculum

Presented by Sandra Cathcart.
Aimed at everyone

This workshop will look at problems, activities and resources from the Measurement Strand which focus on the engagement of students and the development of their measurement sense.

Measurement of length, area and volume through investigating maximum/minimum and open top boxes.

Presented by Gillian Frankcom.
Aimed at intermediate and secondary teachers

This workshop allows teachers to investigate measurement through mini/max work for perimeter and area. The Classic open-top box problem gives teachers an activity for young students or pre-calculus ones.

Modelling the spread of invasive species around New Zealand

Presented by Dr. Samik Datta, Helen Macdonald.
Aimed at intermediate and secondary teachers

Mathematical models can be powerful tools to help to predict future patterns based on past information. One application of particular interest is epidemiology (the study of the spread of infection and disease). I will present some of the basics, as well as a current case study - looking at the spread of invasive species around the coastline of New Zealand. The second part of this workshop will expand on this, looking at modelling of the ocean currents and how they influence the spread of marine pollution and the lower food web.

Origami Activities for End of Term

Presented by James Hurring.
Aimed at primary and intermediate teachers

This is a hands on session where you will have the opportunity to be part of a group folding project that could be used for an end of term activity. It will focus on what is called modular origami where many of one type of unit are folded and then assembled to create a variety of different 2D and 3D shapes. Instructions will be provided for three different types of unit which you will be able to use to make well over 100 different projects. Be part of folding a giant spikey ball of death (actually a stellated icosahedron, though that doesn't sound nearly as exciting), or a plethora of deltahedra or perhaps a sunken cube of zero volume.

Promoting Well-being in the Mathematics Classroom

Presented by Louise Miller.
Aimed at primary and intermediate teachers

ERO states (2016) "Optimal student wellbeing is a sustainable state, characterised by predominantly positive feelings and attitude, positive relationships at school, resilience, self-optimism and a high level of satisfaction with learning experiences."So how do we create the conditions for positive wellbeing in maths classroom? There are many factors to consider when developing students as confident, connected and actively involved 21st century in the mathematics classroom. Student wellbeing is one of those factors and plays an integral part of success in learning. The culture we establish within our schools plays a pivotal part. Student's level of wellbeing at school is indicated by their satisfaction with life at school, their social and emotional behaviour and more particularly their engagement with learning. During this workshop we will explore evidence-informed practices and evaluate if our current school culture for wellbeing promotes engagement and provides equitable learning experiences for everyone in the classroom. Please find attached key readings that will enable rich discussions during this session.

Real Maths in your classroom? Consider useful mathematical modelling frameworks and try a Desmos activity.

Presented by Rebekah Ward.
Aimed at secondary teachers

Mathematical modelling is an approach to solving problems using mathematics and creative thinking. It helps describe things we do not fully understand in the natural or real world. Since modelling uses mathematics as a tool to understand our world, it makes mathematics more relevant to students. Following the progressive stages of modelling encourages students to put all of their mathematics skills together. Through the process, students also learn important twenty-first century skills such as problem solving and critical thinking. 

Times-7

Aimed at everyone

Industry visit (1.5 hours, including travel time Wksp #3) - Times-7 is a high-tech company specialising in the design and manufacture of RAIN (UHF) RFID antennas, based in Lower Hutt, New Zealand. We export all over the world and count the largest RFID companies amongst our customers. Our brand is well-established in the global RFID market, and we are known for high quality and reliability, as well as our significant RF expertise. In addition to our world-class products and in-depth expertise, our customers appreciate Times-7 for our quality of customer service and technical support. We place emphasis on our responsiveness in supporting a large global customer base and ensuring the success of our customer's implementations.

https://times-7.com/about-us/

Using Computers in a Maths Classroom with Year 7 to 10 Students

Presented by Robert Rook.
Aimed at intermediate and secondary teachers

This session will run through using technology (Mathplot) in the classroom for Years 7-10. Among the topics covered are graphing, consumer maths, fractions, geometry, measurement, mensuration, percentage, plotting, spatial relations, statistics, tessellations, trigonometry, probability to name a few. 

Using structured concrete materials to make Maths real for students.

Presented by Margi Leech.
Aimed at everyone

Cuisenaire rods, Pattern boards, place value apparatus, peg boards and Numicon shapes were all invented to give children a tactile representation of numbers and how they work. Most cultures have used ‘something’ to show workings out for thousands of years. We will explore why and how powerful these representations are – more so than counting resources. The workshop will be a hands-on experience also exploring the theories behind them. For children, the use of these materials is engaging. They are kind and gentle, giving them time to understand. They promote deep thinking and problem -solving so well, while also being tools to help conversation and learning together, including those who struggle.

Anytime, anywhere assessment

Presented by Liz Sneddon, Prabhjit Johal.
Aimed at secondary teachers

Over the past 2 years we have been writing and assessing Level 1 and 2 with anytime, anywhere assessments. This has been the key to implementing personalised learning for Year 11 and 12 students, and ensuring that they sit the assessment only when they are ready. They work at their own pace, complete practice tasks, and then sit the assessment. Come along to this session to find out more about the practice assessments, and assessments that we have written, and find out how we manage authenticity and validity of students work. Each student is given a unique assessment, so that we are assessing them individually.

ARBs – How can I effectively use ARBs to support learning?

Presented by Cathie Johnson.
Aimed at everyone

Have you explored the ARBs website lately? Do you know about the new online features that have been made to enable your students and yourself to monitor and track learning? This workshop will explore the ARBs website and share ways to use the tasks effectively to support learning. Discussions will look at online ARBs, monitoring student learning, effective use of my folders and exploring new Level 1 – 5 tasks.

Aviat Industries

Aimed at everyone

Industry visit (1 hours, including travel time Wksp #4) - Aviat Industries "Aviat is a global provider of wireless telecommunications products and services to mobile service providers, government agencies, energy and transportation companies and enterprises. We pride ourselves on the quality and reliability of our products which is unmatched in the wireless transport business and our product innovations such as the industry's first integrated IP/MPLS wireless router, highest power microwave radio ever built and first cloud-based automation platform. Aviat Network's Signal Processing Department has its roots in mathematics. The department designs electronics hardware which requires knowledge of the physics and maths around circuitry and radio-frequency transmission. We will demonstrate some of the hardware we have designed. An important part of Microwave radio is the modem technology used to convert bits to analog waveforms, we can demonstrate how Aviat increases the bit-rate with increasingly complex waveforms and powerful error correction. Finally the department uses field programmable gate arrays (FPGAs) which are at the heart of digital logic design. They contain many millions of gates which can be configured to perform many different functions – essentially a big optimisation problem. We will describe what these devices are and show some of the tools behind designing with them."

Demonstrating and nurturing Pasifika values in mathematics teaching and learning

Presented by Robin Averill, Fuapepe Rimoni.
Aimed at everyone

Talofa lava! Kia orana! Bula vinaka! Very warm Pacific greetings! This workshop will explore how we can respond to the expectations of Tapasā: Cultural competencies framework for teachers of Pacific learners in our mathematics teaching. We will focus on ways to have classrooms and schools that strongly reflect selected key Pasifika values of Tapasā and the Pasifika Education Plan; leadership, service, respect, family, reciprocal relationships, and belonging. The workshop draws from a research study into how early childhood, primary, secondary, and tertiary teachers can demonstrate the Pasifika values in their work and nurture them in their students. Some research results will be shared. The workshop will be relevant to teachers of all curriculum levels. Usi lau maimoa ma lau silasila.

Effect of no streaming on Maori student achievement in NCEA Level 1 Mathematics and Statistics

Presented by Misbah Sadat.
Aimed at secondary teachers

Horowhenua College is a decile 3 college with a substantial percentage of Maori and Pasifika students attending the college. In 2018 Horowhenua College decided to not stream students for English and Mathematics at NCEA Level 1. This workshop is about the lessons learnt in running a differentiated curriculum in Mathematics classrooms and the effect of non streaming on the achievement of priority learners, in particular Maori students.

Engaging primary school students in mathematics through coding and robotics

Presented by Dr Jodie Miller.
Aimed at everyone

Engaging young learners in STEM practices such as robotics and coding gives students the opportunity to use new and emerging technologies to solve problems while extending their own knowledge and understanding of mathematics. This session will draw on a research project that has been conducted with Year 2 - Year 5 students as they engage in robotics and coding to learn mathematics concepts related to measurement, space and patterning. Participants will have the opportunity to work with coding programs and trial tasks that were undertaken as part of the research.

GeoGebra, let's get more complex

Presented by David Amrein.
Aimed at intermediate and secondary teachers

GeoGebra is an amazing dynamic software application that can be used for fantastic teaching and learning; this session gets more complex; we can look at creating complex Mathematical diagrams, and creating more complex teaching and learning presentations

It's right..Prove it...It's wrong

Presented by Dan Green.
Aimed at primary and intermediate teachers

A summary of my masters research examining the strategies and understanding of year 7 and 8 students who are working below expected levels. An emphasis on how these students rely on counting to calculate and often have a poor understanding of additive reasoning.

Joy in teaching mathematics

Presented by Noel Johnston.
Aimed at secondary teachers

The Joy in teaching Mathematics

Level 1 without NCEA integrating a Maintenance-Mastery approach

Presented by Murray Hamilton.
Aimed at secondary teachers

Ormiston Senior College is not running NCEA level 1 in 2019. By using some parallel tests for evaluating students' level and progress, the department is aiming to raise students' level of achievement, keep track of progress, identify areas of weakness, motivate more able students to excel and provide goals for students to work towards in the absence of level 1 NCEA standards.

Level up as an EP Teacher

Presented by Ben Hilliam.
Aimed at intermediate and secondary teachers

In this session, Ben will model use of many of the features that allow teachers to "Level up" on Education Perfect and contribute to your ongoing Professional Development meeting your Practising Teacher Criteria. Such as, creating Competitions, posting to the Teacher Community, creating custom content, giving cheers and feedback to students. Learn what your next steps are as a teacher to gain Advanced, Expert or Guru Teacher Certification and see how this connects this to appraisal, registration and professional goals.

Maaku anoo e hanga, i tooku nei whare - [I will build my own house]

Presented by Ngarewa Hawera, Leeana Herewini.
Aimed at everyone

This workshop will build on key ideas referred to in the keynote presentation. Workshop participants will have an opportunity to examine mathematics tasks explored by kaiako and ākonga in our research. There will be time to critique the strengths and weaknesses of the tasks.

Nriching Problem Solving

Presented by Dianne Ogle, Ali Robinson.
Aimed at everyone

This workshop will explore way to utilise rich mathematics problems found on the NRich Website. (NRIch.org) The workshop will demonstrate how to engage all learners in collaborative problem solving activities based on Nrich problems. Links will be made to big mathematical ideas, differentiation and the New Zealand Curriculum. The workshop is suitable for teachers of Years 1 - 8.

TLIF @MHJC - "Authentic connections - using mathematics and statistics in other learning areas"

Presented by Chandana Premdeep.
Aimed at intermediate and secondary teachers

The Teacher Led Innovation Project run at Mission Heights Junior College worked to establish and embed the innovative practice within a Secondary School environment, of Mathematics Achievement Objectives coverage and quality assurance occurring in other Learning Areas. Therefore increasing the curriculum time focus on numeracy concepts and their application to the real-world whilst maintaining the breadth of our whole school curriculum.

Using Mathematics to build financially capable learners for the 21st century

Presented by Yolande Rosario, Paul Newsom.
Aimed at secondary teachers

To enable mathematics teachers to use the financial capability standards in their classroom and create a course for your students. Teaching students to become financially capable is building life-long learners. It includes learning about real-life situations and relevant information that will better prepare students when they leave school. Topics such as budgeting and managing your money, managing student debt, insurance, saving and investment, setting financial goals are some of the topics that can be introduced to students in the classroom. The standards are graded and can count towards a students' endorsement.

What Makes a Good Statistical Task?

Presented by Chris Franklin, Anna Fergusson.
Aimed at everyone

In mathematics, Smith and Stein (1998) argue the most effective tasks are those that "engage students in high levels of cognitive thinking and reasoning," and they use a four-tiered hierarchy to classify cognitive demand: memorization, procedures without connections, procedures with connections, and doing mathematics. In this session, descriptions and examples are proposed prompting teachers to consider those tiers through a statistical lens. Further, an expansion of Smith and Stein's classification system is proposed to include context – a feature inextricably linked to statistical reasoning. Although different cognitive levels and types of contexts are appropriate for different goals, students should have opportunities to complete investigations in "rich" contexts that are meaningful to students, invite interrogation of the data collection, promote multivariable thinking, and generate new investigative questions. Finally, in this session, examples of quality lessons available through the American Statistical Association's online journal Statistics Teacher and New Zealand's new journal, DMT, are examined and discussed. Submissions of high-demand, rich-context lessons from NZAMT attendees for DMT are solicited.

What’s the problem?

Presented by Margi Leech.
Aimed at everyone

Word problems can be such a mystery for children. This workshop will explore how to make word problems easier to solve through explicit teaching and the use of apparatus so that children can see a representation of problems. This in turn really helps the conversations develop in collaborative learning situations. It’s hard to incorporate all children into an activity that requires a good use of language and a knowledge of number behind the problem. But with structured materials and a structured approach, all children are engaged and contributing.

Year 11 and 12 Maths from the students' viewpoint

Presented by Bernie Wills.
Aimed at secondary teachers

What happens when you ask students about Maths? And what do you do next?

Day 3 – Thursday 3 October
A dialogue about directions for NZ statistics education for the 2020s

Presented by Anna Fergusson, Mike Camden.
Aimed at everyone

Some forces for change are coming the way of statistics education in NZ schools. Some of these forces come from within NZ, like the NCEA Change Package 2019 and the move to digital assessment. Others come from outside, like the growing interest in data science and the growth in data and tools for dealing with it. The Education Committee of the NZ Statistical Association wants to make sure that NZ education moves in directions that are best for the students who are our future adults, and for their teachers. 

Adusu Algebra - Concrete Materials

Presented by Ruth Adusu.
Aimed at intermediate and secondary teachers

Adusu Algebra is a concrete materials kit developed by a full-time mathematics teacher Ruth Adusu who has 30 years of experience in the classroom. It allows students to physically build and manipulate expressions, equations and inequalities. By bringing algebra "out of the abstract and into the physical" it avoids or eliminates common misunderstandings, provides immediate feedback, supports correct mathematical working, simplifies algebraic processes, allows student to explore questions, and improves recall. Teachers are able to gain insight into how a student is thinking about algebra in order to better assist them in their understanding. Differentiation in the classroom is also facilitated by the use of Adusu Algebra.

Building ako-rich practice in Year 9 and 10 mathematics teaching and learning

Presented by Karyn Saunders.
Aimed at secondary teachers

There is a stubborn disparity between Māori and non-Māori student achievement in the New Zealand English-medium secondary education context. Cultural misalignment between students and teachers can contribute to this issue. In response, Ka Hikitia, underpinned by two critical factors (provision of quality teaching and learning and strong engagement and contribution from whānau), guides teacher actions to make positive differences for Māori students. These factors also underpin Tātaiako, which guides the provision of genuine, productive relationships between Māori students and their whānau via cultural competency indicators framed within rich Māori metaphor, including ako.

Coding in maths class - structure and play

Presented by Jared Hockly.
Aimed at intermediate and secondary teachers

This workshops will explore the Why and the How for introducing coding/programming into junior maths classes. What systems and structures might ensure successful lessons involving coding? What benefits to mathematics learning are there? 

Developing mathematical fluency with games and activities

Presented by Dr Nicola Petty.
Aimed at everyone

Number fluency is essential for continuing development in mathematics. Fluency is often associated with speed of recall, whereas it involves conceptual understanding and ability to transfer to other contexts. In this workshop we will examine what fluency is, with insights from research on how to develop them. Participants will also experience a number of games and activities that teachers can use in their classes at all levels.

Developing Mathematical Intuition in a knowledge-based world.

Presented by Paul Cliffe.
Aimed at intermediate and secondary teachers

Intuition is defined as: "The ability to understand something instinctively, without the need for conscious reasoning." This means that understanding is at the heart of intuition, however, even with conscious reasoning teachers often struggle to help students understand mathematics, far less without it. I will be exploring the scenario where intuition and conscious reasoning fit together seamlessly, to enhance student's fulfillment when learning mathematics. This will include a discussion of how understanding can be a casualty of the knowledge-based world we live in.

Frasers Engineering

Aimed at everyone

Industry visit (2 hour, including travel time Wksp #5 and 6) - Fraser Engineering is highly focused on design. Our qualified designers are experienced in designing complete products, on any scale from small to large. Solidworks is our 3D CAD package of choice. We are one of the largest private users of Solidworks in the Wellington region. Here at Fraser Engineering group we have a high regard for innovative architecture and understand what it takes to bring fresh ideas to life. We can provide a complete production service for projects of all sizes, from concept to installation. Fire vehicles and appliance manufacture

https://www.fraser.org.nz

Growing mathematics teachers: Putting your own oxygen mask on first

Presented by Naomi Ingram.
Aimed at everyone

A teacher's own relationship with mathematics and teaching impacts their classroom practice and, ultimately, students' learning. Being aware of these relationships is the first step towards supporting students to thrive. In this workshop, Naomi will explore the work she has done with teachers, preservice teachers and students to grow their own relationships with mathematics.

Innovative Young Minds: Inspiring young women to explore Science and Technology

Presented by Sue Avison, Gaylene Hughes.
Aimed at secondary teachers

Innovative Young Minds programme is a pioneering initiative by Hutt City Council and Rotary Hutt City, which is changing the way young women view careers in science, technology, engineering, maths and high-tech manufacturing. Eighty female senior secondary school students attend the week-long residential programme annually. IYM participants experience first-hand what it is like to work in diverse industries like ICT, engineering and high-tech manufacturing. Lower Hutt businesses and research-led companies, CRIs, and tertiary education providers open their doors to showcase the work they do and profile the myriad of job opportunities available in tech, engineering and science. The IYM programme also provides a dozen alumnae with an incredible chance to visit Silicon Valley (California) to experience science, technology and innovation on the world stage. An array of activities are experienced during a whirlwind ten-day trip, which includes face-to-face meetings with world-leading innovators and visits to schools and businesses all working at the cutting edge of the STEMM sector. 

Modern Learning Environments

Presented by David Amrein.
Aimed at intermediate and secondary teachers

Aotea College is due to be open around the same time as the conference takes place; it will be the newest school in the country and whilst we are trying to organise a site visit, if this is not possible due to the building not being handed over in time, we can take you on a virtual tour of the school and discuss in an open forum what the future of teaching will be like for our students.

Moving from 'Cells and Bells' to an ILE, lessons learnt from the Maths team.

Presented by Lee Hiestand.
Aimed at secondary teachers

In 2018 Wakatipu High School moved from a traditional New Zealand school site to a private public partnership, innovative learning environment. During this workshop, Lee Hiestand, Head of Maths, will go through her experience in moving with her team. Shifting pedagogy, practical space considerations, deprivatization of practice, working collaboratively and how new teachers have found stepping into this environment are some of the areas which will be discussed. Although the ILE was a catalyst for change, many of the lessons learnt can be applied in regular classrooms.

Neil Marshall, National Assessment Leader for Mathematics and Statistics invites you to a conversation about internal assessment for NCEA.

Presented by Neil Marshall.
Aimed at secondary teachers

The discussion will cover: The role of the National Assessment Moderators Communication with NZQA: how to get the most of the support available by using queries, appeals, re-appeals and requests for clarification. Exemplars: the purpose of exemplars and the how and why of the recent revisions Holistic marking There will also be a time for a Q&A session.

Racetech

Aimed at everyone

Industry visit (1 hour, including travel time Wksp #5) - Racetech operates on a global basis. Racetech has an extensive international dealer and distributor network, supplying motorsport seats, harnesses and accessories. We’re proud to say that we are world-renowned for our Racetech race seats. Our composite and carbon fibre race seats are fitted to thousands of race cars – touring cars, rally cars, drift, drag and speedway cars – all over the world, as well as many race boats and other sport seat applications. The design, testing, manufacture and sale of our comprehensive range of Racetech race seats forms the heart of our business and we also distribute and sell numerous other top class race products. Racetech has worked, and continues to work with the Federation Internationale De L’Automobile (FIA) on numerous development and testing projects, and our team is regularly consulted by national motorsport organisations regarding appropriate technical standards and improved safety within racecars.

https://www.racetech.co.nz/shop/about-us

Statistics in weather and climate

Presented by Dr Trevor Carey-Smith, NIWA.
Aimed at intermediate and secondary teachers

Statistics is integral to understanding and predicting our weather and climate. From understanding past climate variability and the properties of weather events to predicting how climate patterns will change or estimating the likelihood of damaging storms, statistical methods are in continual use at NIWA. We will cover a selection of these methods of varying complexity and show their use in real applications.

Student self-assessment in mathematics

Presented by Julie Crawford.
Aimed at everyone

Give your students opportunities to reflect and self-assess on their learning pathway. In this workshop we will explore ways to introduce and use self-assessment in our classes. We will start with some quick and easy to implement ideas then explore some examples of more sophisticated tools suitable for growth orientated and mixed attainment classes.

Transition to Tertiary Study; Can we do better?

Presented by Rachel Passmore, Cami Sawyer, Julia Novak.
Aimed at secondary teachers

NCEA was designed to offer greater flexibility in course design, enabling schools to more closely tailor courses to the requirements of their students. The outcome of this has been that those students who continue to University, even within the same study pathway, are no longer an homogenous group. 

Use R for Data Analysis: Part A

Presented by Dr. David Lillis.
Aimed at secondary teachers

Using R as a calculator: Using basic R functions to summarise data sets and find minimum, maximum and mean of data etc, Reading csv data files and saving output files, Subsetting data, Sorting data, The basics of graphing in R, Scatterplots, Frequency tables and bar plots, Boxplots and Histograms, Correlation and Regression

"Across the strands"

Presented by Sandra Cathcart.
Aimed at everyone

In this workshop we will look at some activities that involve ideas from more than one strand.

"That 10 mins"

Presented by Lynley McEwan.
Aimed at intermediate and secondary teachers

What do you with that last 10 min of a period with your yr 7-10s. Come and get some ideas of different things I use to keep them busy and have some fun.

An Exploration of Algebra using Geometry, with hands-on activities

Presented by Sue Scott.
Aimed at everyone

For many years I have enjoyed playing with geometric proofs, using geometry to re-inforce algebraic reasoning. I would like to share some of the gems I have come across and give you the chance to explore some of these concepts, doing some hand-on activities along the way. We may also delve into some of the wonders held within Pascal's triangle.

Creating Custom Content on EP

Presented by Ben Hilliam.
Aimed at intermediate and secondary teachers

In this session, Ben will show how to create and adapt custom content. In addition to EP's extensive Resource Library, you have the ability to create your own Smart Lessons, Vocab and Fact Lists, as well as Assessments. This can help you customise EP to cater to the specific content requirements of your school. Learn how to quickly and easily create this content and deliver it to your students via our world class digital platform.

Developing a Growth Mindset using Mangahigh

Presented by Jake Main.
Aimed at intermediate and secondary teachers

This session will discuss how students develop a growth mindset using Mangahigh as the vehicle. Through Mangahigh's bronze, silver, gold achievement system, and by using adaptive quizzes and games students will understand how to improve their Maths skills and build a strong foundation that will set them up for future success in Mathematics. N.B. This is an interactive session requiring the use of devices.

How we taught 83 Level 1 NCEA courses this year

Presented by Phil Truesdale.
Aimed at secondary teachers

At Papanui High School this year we trialed a course that combined the use of flipped learning, individual pathways, and non-streamed or banded classes. All of this together meant, that we delivered 83 different Level One courses. I aim to share more detail as to what we did and why we did it.

Mathematics and the Bible

Presented by Murray Hamilton.
Aimed at everyone

Enter into the world of Biblical Mathematics. Hebrew and Greek are both alpha-numeric languages and there is a wealth of mathematics contained in the numbers (words) in the Bible. The work of mathematicians Peter Bluer, Vernon Jenkins, Leo Tavares and others will be referred to during the session. There is far too much from these mathematicians to cover in one session. Links to websites for further exploration will be given. Star numbers, Hexagonal numbers, Triangular numbers, and Pi are all in the first verse of the Bible (Genesis 1:1). The Bible code of skip letter sequences will also be covered which proves a Divine Mind behind the scriptures.

Neil Marshall, National Assessment Leader for Mathematics and Statistics invites you to a conversation about internal assessment for NCEA.

Presented by Neil Marshall.
Aimed at secondary teachers

The discussion will cover: The role of the National Assessment Moderators Communication with NZQA: how to get the most of the support available by using queries, appeals, re-appeals and requests for clarification. Exemplars: the purpose of exemplars and the how and why of the recent revisions Holistic marking There will also be a time for a Q&A session.

Now What? Effectively Using 'Connecting All Strands' Resources

Presented by Joel' Bradley.
Aimed at everyone

In this workshop for years 3-10 teachers, we unpack the Caxton Educational (CaxEd) Connecting All Strands series. Participants learn to use both the Online Teacher Resource and Student Resource Textbook for greatest classroom effectiveness. Particular spotlight given to differentiation, mixed grouping, rich tasks, and sharing real-life teacher suggestions. This is a commercial presentation.

Reimagining Level 3 Maths and Calculus

Presented by Rachel Passmore, Cami Sawyer, Julia Novak.
Aimed at everyone

The practice of mathematics has gone through many changes in the last 30 years. Yet the NZ Level 3 Mathematics curriculum has not changed much. Should it? Does the current Level 3 Mathematics meet the needs of the users? What could the future of Level 3 Mathematics be?

Team Teaching

Presented by David Amrein.
Aimed at everyone

Aotea College is about to embark on its craziest chapter yet, a brand new school opening around the same time as we attend this conference. For the past year and a half, we have 'smashed' down classroom walls and embarked on the most amazing journey of team teaching. It has truly changed my love for teaching and I call upon all teachers that have had this experience to come along and share their experience.

Use R for Data Analysis: Part B

Presented by Dr. David Lillis.
Aimed at secondary teachers

Continued: Using R as a calculator: Using basic R functions to summarise data sets and find minimum, maximum and mean of data etc, Reading csv data files and saving output files, Subsetting data, Sorting data, The basics of graphing in R, Scatterplots, Frequency tables and bar plots, Boxplots and Histograms, Correlation and Regression

Using Mathematics to build financially capable learners for the 21st century in junior classes

Presented by Yolande Rosario.
Aimed at primary and intermediate teachers

Yolande is the roaming teacher for the Wellington region at the Young Enterprise Trust. As a roaming teacher, Yolande moves around schools helping teachers to incorporate enterprise and financial education into their classroom curricula. Yolande is an ex mathematics teacher and responsible for overseeing the creation of the resources for the financial capability standards that the Young Enterprise Trust have created.

What is being multiplicative?

Presented by Helen Adams.
Aimed at everyone

The numeracy project offers a wide range of strategies for students to demonstrate multiplicative thinking. This can often be very confusing to students. Which ones should students know? Which ones lead on to algebraic thinking? I have developed two multiplicative approaches which lead on to generalisation in algebra. I have developed a website including videos and worksheets to support the teaching of these approaches. Come along and find out more.

A mathematician's ways of thinking

Presented by Dr Anita Ponsaing.
Aimed at intermediate and secondary teachers

Some say that in becoming a mathematician, one develops ways to think about things that are not commonly acquired otherwise. Could these ways of thinking be helpful to teachers of school level mathematics? We'll look at some maths problems and concepts, and talk about different ways they can be thought about.

Adding spice to statistics with dynamic and interactive graphics

Presented by Prof. Chris Wild.
Aimed at secondary teachers

In online presentations of statistical data, flat, static graphics are sliding out the back door of history. Online graphics do things. They are like living things, not unresponsive, dead things. Poke them and they react. When you hover over elements with a mouse (e.g., data points or bars), you get more information about what they represent. You can often zoom in or pan, or switch elements on and off. If you select a group of elements by dragging the mouse ("brushing") and often you will see corresponding elements light up in another graph. The graphics may also be dynamic and play like a movie. In this workshop you will both see, and generate for yourselves, a range of interactive and dynamic graphs. We will show you how to do this in iNZight or iNZight Lite (online) where it happens at the click of a button, but even with R code if you are interested. We will do this for the familiar graph forms you already use in your teaching and also step beyond to many other types of graph – some familiar, some less so, including graphical displays on maps.

Adusu Algebra - Concrete Materials

Presented by Ruth Adusu.
Aimed at intermediate and secondary teachers

Adusu Algebra is a concrete materials kit developed by a full-time mathematics teacher Ruth Adusu who has 30 years of experience in the classroom. It allows students to physically build and manipulate expressions, equations and inequalities. By bringing algebra "out of the abstract and into the physical" it avoids or eliminates common misunderstandings, provides immediate feedback, supports correct mathematical working, simplifies algebraic processes, allows student to explore questions, and improves recall. Teachers are able to gain insight into how a student is thinking about algebra in order to better assist them in their understanding. Differentiation in the classroom is also facilitated by the use of Adusu Algebra.

Aviat Industries

Aimed at everyone

Industry visit (1 hours, including travel time Wksp #4) - Aviat Industries "Aviat is a global provider of wireless telecommunications products and services to mobile service providers, government agencies, energy and transportation companies and enterprises. We pride ourselves on the quality and reliability of our products which is unmatched in the wireless transport business and our product innovations such as the industry's first integrated IP/MPLS wireless router, highest power microwave radio ever built and first cloud-based automation platform. Aviat Network's Signal Processing Department has its roots in mathematics. The department designs electronics hardware which requires knowledge of the physics and maths around circuitry and radio-frequency transmission. We will demonstrate some of the hardware we have designed. An important part of Microwave radio is the modem technology used to convert bits to analog waveforms, we can demonstrate how Aviat increases the bit-rate with increasingly complex waveforms and powerful error correction. Finally the department uses field programmable gate arrays (FPGAs) which are at the heart of digital logic design. They contain many millions of gates which can be configured to perform many different functions – essentially a big optimisation problem. We will describe what these devices are and show some of the tools behind designing with them."

Dog-ball - creating a mathematical model (or two)

Presented by Anthony Harradine.
Aimed at secondary teachers

This activity is perhaps my favourite high school modelling experience. It can be done with students from Year 11 to 13, has a simple aspect and a totally surprising (to me, at least) ending that will excite you (well, it excited me). It can be a grand learning task, or perhaps a lovely assessment task. You choose. You will love Dog-ball.

GeoGebra, an advanced session

Presented by David Amrein.
Aimed at intermediate and secondary teachers

Ok, you have played with GeoGebra a lot, but can you create a student practice sessions with answers or using randomise to create new problems; what about scripting your own code and creating very useful and reusable content to help your students learn...?

Getting a great start to every lesson

Presented by Robin Averill.
Aimed at primary and intermediate teachers

In this workshop we will explore and discuss a range of strategies for making sure each lesson begins in a great way. Focus areas will include using quick investigative questions to stimulate mathematical thinking and discussion, exploring real life links and applications to stimulate engagement and interest, being strategic in the selection of mathematical focus, and making personal connections to nurture classroom community. Particular focus will be given to working with students at curriculum levels 4-7.

How to effectively engage all students in maths - feedback from Jo Boalar

Presented by Helen Teal.
Aimed at everyone

This workshop will feedback from the workshop Jo Boalar ran in Hamilton earlier this year. We will explore ways to develop a mathematical mindset, how to avoid maths anxiety, the value of struggles and mistakes and how to get students making conjectures and proving or disproving the conjectures of their peers. We will give you the opportunity to experience some low floor, high ceiling problems that we have used in our Northland classrooms and suggest ways you can use these and similar problems with your class.

Mathematical Modelling in the classroom

Presented by Kerri Spooner.
Aimed at everyone

This workshop is a self-initiated consultation process with Mathematical teachers concerning what they think are important aspects of mathematical modelling that could or should be taught at school level. To start the discussion the modelling behaviours of a New Zealand real world modelling team and the potential authentic mathematical modelling behaviours of a secondary school student will be presented. The rest of the workshop will be a discussion session seeking feedback from you concerning what you think is possible in your classrooms if there was curriculum support. Discussion questions will focus on: what does mathematical modelling look like for you? What activities are possible to develop authentic modelling behaviour in your classroom? What are the challenges? What support is needed? Your participation will be used to inform submissions around mathematical modelling in the classrooms. I am also hoping to build research around this project.

Maths Anxiety and Difficulties

Presented by Margi Leech.
Aimed at everyone

Many students are disengaged with Maths, hate it and often resort to creating difficult behaviour to communicate their discomfort. Why? This workshop will explore the reasons for this and provide you with practical strategies and ideas to enable these students to be re-engaged and encouraged in their learning that fit the strength of UDL teaching practice.

Neil Marshall, National Assessment Leader for Mathematics and Statistics invites you to a conversation about internal assessment for NCEA.

Presented by Neil Marshall.
Aimed at secondary teachers

The discussion will cover: The role of the National Assessment Moderators Communication with NZQA: how to get the most of the support available by using queries, appeals, re-appeals and requests for clarification. Exemplars: the purpose of exemplars and the how and why of the recent revisions Holistic marking There will also be a time for a Q&A session.

Problems, puzzles and activities to get our students thinking mathematically

Presented by Derek Glover.
Aimed at secondary teachers

A collection of ideas to take away and use. Included are things I have created and things I have seen but modified to make more useful for my students. Includes documents, spreadsheets, powerpoints and geogebra files. These are mostly for appropriate for year 9 and 10 students.

Spredsheets Make sense ... for maths

Presented by Robyn Headifen.
Aimed at intermediate and secondary teachers

Spreadsheets are so much more than a graphing tool - they can improve students critical thinking skills while providing a bridge between number and algebra. Spreadsheets are interactive, give immediate feedback and offer students a degree of control and ownership over their learning.

The Mathematics of Origami

Presented by James Hurring.
Aimed at secondary teachers

This will focus on some of the Mathematics behind Origami with applications to Geometric Reasoning, Trigonometry, coordinate geometry, 3-dimensional shapes, conic sections and more. Note that this is not a "hands on and get folding" activity though some folding may take place and some instructions for models will be included in the material given out. Be prepared to do a bit of secondary school level maths, extend your knowledge of geometric shapes, delve into folding paper into fifths and analyse some folding sequences for mathematical accuracy.

Understanding 2D Geometry properties through the art of paper folding.

Presented by Averil Lee.
Aimed at everyone

This workshop will provide a hands-on display of how the properties of geometrical shapes can be explored through the art of paper folding. Ten different shapes will be made with conversations and discussions ranging from what the shape is called to how can this shape help to prove the sum of the angles in a polygon.

Understanding statistical inference

Presented by Dr Nicola Petty.
Aimed at everyone

All teachers of mathematics need to have an understanding of statistical inference, which is one of the big ideas of statistics. The workshop will include videos, discussion and hands-on activities that you can use in your teaching. We will also look at what is important at each of the levels of the curriculum from Year 0 to Year 13. Bring along any sticky statistics questions that may be bothering you, or send them ahead of time to [email protected]

Weltec - this visit has now been withdrawn

Presented by Withdrawal.
Aimed at everyone

Industry visit (1 1/2 hours, including travel time Wksp #7) - A tour of their Engineering spaces/facilities, and viewing some of the courses briefly, touching on the mathematics requirements needed to get into varied levels of tertiary study). Teachers will be able to see some classes in action.

https://www.whitireia.ac.nz https://www.weltec.ac.nz

What do pipis tell us about mathematics in schools?

Presented by Pania Te Maro.
Aimed at everyone

This workshop will take us through an activity that year 7 - 9 ākonga (students) in a kura kaupapa Māori (total immersion school under the Te Aho Matua Act) completed as part of data collection for the workshop presenter's PhD. In this workshop the similarities and differences of Māori world views and maths world views will be explored. The overall focus is to examine equitable privileging of mātauranga Māori (Māori knowledge) with mātauranga mathematics (mathematical knowledge) and possibilities for allowing each body of knowledge the space, time and activity to thrive without trying to make one the other. This session is for anyone who is intrigued by what is happening in some kura for mathematics. Those who want to take a political look at equitable privileging of knowledge systems in schools and what impacts on ensuring this state.

Day 4 – Friday 4 October
Assessing NCEA mathematics through multiple-learning area, context-driven projects.

Presented by Ruby Grant.
Aimed at secondary teachers

At Rototuna Senior High we teach integrated modules, which are across multiple learning areas and focused on specific contexts. We have been developing contextual, integrated tasks that can be assessed against NCEA standards. For example, a student might complete a work of art over 10 weeks and then have their work assessed against art history and geometry standards. Or students complete a research project over 3 months and then have it assessed against social studies and statistics standards. We discuss our journey developing these tasks and the student responses to them.

Bringing the Joy back into Mathematics

Presented by Belinda Walker.
Aimed at primary teachers

Become that confident maths teacher you have always dreamed of: learn how to create effective mathematical lessons for all of your students which allow your students to experience confidence and joy in maths.

Computer Graphics = Physics + Geometry + Algorithms

Presented by Javor Kalojanov, Marc Droske.
Aimed at everyone

In this workshop, we present how discoveries in Physics and Mathematics have driven innovations that have shaped today's VFX industry. The principles of VFX are based on understanding how light interacts with the world and then modelling these interactions using computers. Examples of Mathematics that make this possible include Geometry, Algebra, Probability Theory, and Computational Complexity Theory. In our talk, we touch on the importance of these fields and the types of problems they allow us to solve.

Grappling with authenticity

Presented by Dr Marion Steel.
Aimed at secondary teachers

There is a long-standing problem with assessing authenticity in student reports for internal NCEA statistics standards, but the extent of the problem is still unknown. I will share our experience in getting to grips with authenticity in a large year 13 statistics programme, considering ethics, technology, and practicalities. This will be a chance for statistics teachers to discuss issues and share solutions. Bring a computer with you to this workshop.

Mathematical Games to Promote Reasoning

Presented by Prof. Catherine Attard.
Aimed at primary teachers

How often do you use games in your mathematics lessons? What would you consider to be a 'good' game? In this workshop, participants will explore strategies that will add value to the use of games in primary mathematics lessons by promoting mathematical communication, reasoning, and fluency. A range of games will be explored to identify the qualities of good games and participants will have the opportunity to engage with and critique mathematical games.

Maths outreach activities for primary and intermediate students

Presented by Jasmine Hall.
Aimed at primary and intermediate teachers

Maths outreach is one of my passions and I have been involved in a number of programmes over the years. I would like to share some of the activities I love to do and have found most successful-- ones which I think truly encourage mathematical thought, and perhaps most importantly, are activities which none of the students realize are mathematical!

Outreach experiences as a Bevan Werry speaker

Presented by Dr Dillon Mayhew.
Aimed at secondary teachers

For more than a decade, I have visited schools in the Wellington region to work on mathematical exercises. In 2013, I was the Bevan Werry Speaker, and this made it possible for me to go further afield; to schools in Auckland, Christchurch, Palmerston North, and Greymouth. I have always looked for exercises that allow independent investigation, and which touch on some deep topics in mathematics. I've worked up exercises that rely on ideas from the theory of combinatorial games and the theory of computation. In this interactive workshop, I'll go through some of these exercises.

Patterns and Trends in NCEA Mathematics/Statistics

Presented by Eldon Paki.
Aimed at secondary teachers

There are patterns and trends evident in the NCEA data. We will show the patterns and trends, and will discuss possible causes for them.

Primes, primes and more primes

Presented by Dr. David Lillis.
Aimed at intermediate and secondary teachers

Since the time of the ancient Greeks, and probably long before then, we have been fascinated by prime numbers. One possible reason for our fascination with prime numbers is that the inter-relationships between them and the patterns that they appear to create are so difficult to understand. Another possible reason is that the primes appear to exhibit both deterministic behaviours (i.e. fully determined on the basis of naturally-occurring relationships) and random behaviours (i.e. occurring by chance). Nobody has succeeded in creating mathematical models that predict the magnitudes of prime numbers exactly or the numbers of prime numbers up to a given natural number. Other reasons for our fascination with primes may involve unexpected and quite exquisite relationships between prime numbers and certain mathematical functions and the seemingly disconnected islands of prime numbers, each surrounded by a sea of numbers that are not prime but which are related mysteriously to one another. David Lillis will present a summary of the history of our understanding of prime numbers and outline recent developments in prime number theory.

Student agency and being a better teacher

Presented by Bernie Wills.
Aimed at intermediate and secondary teachers

When they got to talking about their teaching, two Maths teachers decided that they weren't doing a very good job and wanted to change. They accepted that anything new would be constrained by existing timetabling and classrooms.

The Mathematics of Juggling

Presented by Peter Bier.
Aimed at everyone

A surprising number of mathematicians are jugglers (and vice versa). Upon reflection, the connection is perhaps not quite as odd as it seems. Mathematics is the science of patterns, while juggling is concerned with patterns that can be woven in three dimensions, via manipulation of various objects. This hands on workshop will introduce you to the art of juggling, as well as the mathematics used to describe and generate new juggling patterns. Come along and learn how to juggle three balls.

The new direction for Literacy and Numeracy in NCEA

Presented by Lauren Burr, Miriam Bookman.
Aimed at intermediate and secondary teachers

In May the NCEA change package was released and one of the key points for Maths and Stats teachers was the strengthening of Numeracy and Literacy within NCEA. The Minister directed that a Technical Advisory Group be established to advice the Ministry on regarding both this in relation to both the New Zealand Curriculum and Te Marautanga o Aotearoa and so two groups were established, and subsequently met, in the middle of the year. This is your chance to hear the progress of this key NCEA change and ask any questions.

The Practical Mathematics of Architecture

Presented by Greg Burr.
Aimed at secondary teachers

Most believe that architecture is all about design, but those ideas don't just magically become building plans! This is a workshop where you will see some of the practical aspects of drawing plans using some of the amazing technology available, and why an understanding of measurement and geometry is so important.

Transitioning to a 21st century curriculum model

Presented by Zac Rutledge.
Aimed at secondary teachers

Come along with your ideas, experiences, questions, open minds, to talk about and discuss the issues that come with a cross-curricular model of learning, particularly in established schools with more traditional models of learning. To help encourage discussion I'll bring some examples of the problems our school encountered and how we are over coming them, as well as the successes we have had. One of the most helpful things we did was to apply (successfully) for professional development from our Regional Fund and I'll share how we did that as well.

What is being multiplicative?

Presented by Helen Adams.
Aimed at everyone

The numeracy project offers a wide range of strategies for students to demonstrate multiplicative thinking. This can often be very confusing to students. Which ones should students know? Which ones lead on to algebraic thinking? I have developed two multiplicative approaches which lead on to generalisation in algebra. I have developed a website including videos and worksheets to support the teaching of these approaches. Come along and find out more.