Leading Mathematics and Statistics in the 21st Century
Mathematics and Statistics Symposium 2011 | Auckland | September 2011

Mathematics is the exploration and use of patterns and relationships in quantities, space and time. Statistics is the exploration and use of patterns and relationships of solving problems (Ministry of Education, 2008).

This wiki page provides access to resources from each of the workshops available at the Mathematics Symposium held in Auckland, September 2011. The purpose of the symposium is to:
  • Support the delivery of the mathematics and statistics learning area of The New Zealand Curriculum.
  • Provide opportunities and support for leaders to facilitate classroom based ongoing professional learning in mathematics and statistics for teachers.

If you have any questions about the resources on this page please email Christine Hardie

To visit the Team Solutions mathematics lead teachers wiki click here

Symposium workshops and resources
Keynote Address -Whose Problem is this?
Nāu te rourou, nāku to rourou, ka ora te manuhiri
Persistent underachievement in mathematics is a ‘wicked problem’ that is unlikely to be solved by any one person acting alone. Spillane’s concept of ‘distributed leadership’ is exemplified by the staff of Kaikohe West School as they try to raise achievement in mathematics in their school. In this keynote we will present five perspectives on their effort.We argue that the knowledge, skills and dispositions necessary for tackling this multi-causal and complex issue need to be co-constructed and locally defined – and that this is urgent work if we are to make a difference for learners.
In this keynote, five different people shared their different viewpoints. Hamish Ruawai, Principal of Kaikohe West School, has a passion for improving students’ learning. Chrissy Smith and Diane Bates, both lead teachers of mathematics at Kaikohe West School, have taken on the professional development of their colleagues in mathematics through an individualised coaching programme. Mei Reti is a classroom teacher in the bilingual unit at Kaikohe West School and is a recent convert to the excitement of teaching mathematics. Dr Fiona Ell is their ‘critical friend’ -and a lecturer in the Faculty of Education at The University of Auckland.
Professional Development Case Study

Download here
Powerpoint Presentation - Fiona Ell - Kaikohe West School

Maths-2011 Keynote presentation(2).pptx

Geometry - are you spatially aware?
This workshop invites you to participate in a hands-on geometry workshop based on Year 1 to 3 learning needs for students. The session focuses on discussion, debates and new ways to explore geometry and number.
Workshop powerpoint presentation


Digital content for Maths
Integrating digital content and web based tools provide teachers with opportunities to design teaching approaches that can have a positive impact on student learning. In this session we will explore e-learning examples and consider how they might be applied to support mathematical learning across the curriculum.
Workshop materials

Digistore Website

Mathematics and statistics on Digistore

Digistore Learning Paths

Overall teacher judgments and moderation
This workshop will explore the multiple sources of evidence teachers can use to make overall teacher judgments and examine the key principles of moderation within and between schools.
Workshop powerpoint presentation

Maths-2011_OTJ_and_ Moderation_Symposium.ppt

Maths-2011_Friday OTJ_and_ Moderation_Symposium[2].ppt



Early multiplication - stages 2-5
This workshop will be a practical session on how to develop multiplication in the early years. It will be based on Richard Skemp's work and will begin with making sets and moving through to solving multiplication problems in a fun and structured way.
Written notes for Multiplication

Activity masters for Multiplication


Maths anxiety
Maths Anxiety: whether we are maths anxious ourselves, or trying to deal with maths anxiety amongst our fellow teachers, the problem is unlikely to go away unless tackled specifically, sensitively and soon. My research shows that this problem is not getting any better. What can we do, and how should we do it? Some ideas to help.
Contact: Gillian Frankcom-Burgess

Workshop powerpoint presentation

Maths-2011_Maths_Anxiety_Maths Symposium.ppt

Decimals and percentages
This workshop focuses mainly on Stage 7 key ideas with some progression into Stage 8. We will be using equipment and hands on activities to explore;
• common decimal place value misconceptions and how to address these
• operating with decimals (subtract add, multiply, divide)
• expressing remainders as decimals
• solving percentage type problems
Decimal and percentage powerpoint presentation

Decimal addition game

Decimal subtraction game aimed at choosing strategies efficiently

Decimal Place Value Game

Decimal Place Value Game

Decimal Place Value Game

Decimal Addition and Subtraction Game

Percentage of Amounts Games

Decimat Material Master

Place Value Houses

Decimal Keyboard Material Master

Template to use when finding percentages of amounts using benchmarks

Template to use when multiplying decimals by a decimal.

Planning Unit for Decimals and Percentages Stages 6 and 7

Maths-2011_Decimals_Planner_A_ and_AM.doc

Culturally responsive leadership
This workshop will explore what it means to lead a culturally responsive school at both a system level and in classroom practice.
Workshop powerpoint presentation

Iceberg Statements

Maths-2011_Words_for_cultural_iceberg (2).doc

Place value - a look at current issues students are facing
Place Value Stages 2 to 6. The workshop will emphasise the extreme problems that New Zealand students, including those at secondary school, are having with place value. In particular the issue of English’s strange number names and their link to the numerical symbols will be addressed. Included will be how to move students on from counting stages to early part–whole thinking.
Place Value


Coutning stages - 0-4
This workshop will cover when to learn the counting sequence by rote, and how to link this to one –to-one counting. More significantly the linkage to counting on and counting back will be linked to adding and subtracting one using place-value to remediate common miscounts like 198, 199, 1000, and 42, 41, 40, 30, 39, 39.
Counting Stages


English language learners - accelerating mathematics learning
This workshop will provide an opportunity for you to engage with the role of leaders in supporting and sustaining ELL achievement. Come join us on a hands-on journey towards accelerating mathematics learning for all ELL students.
This workshop aims to develop an understanding of the role of leadership in supporting teachers of English language learners with language demands of mathematics curriculum.

This handout includes some successful strategies that teachers can use to scaffold Mathematics learning for English language learners.


Effective use of a modelling book
This workshop will explore how a modelling book can be used to collect formative evidence to inform an Overall Teacher Judgement. We will look at the components of written recording for students and how to effectively capture students thinking.
Workshop powerpoint presentation

Grab It

Findings from the NZ Numeracy Development Projects 2005.
(Modelling books and student discussion and mathematics pages 65-71)

Maths-2011_Modelling _books_and_student_discussion.pdf
Modelling Book Examples 1-5


Fractions - years 1-3
Participants will explore a variety of valuable ways to introduce fractions to Years 1-3 to ensure a solid basis for further teaching and learning in fractions.
Workshop powerpoint presentation

Workshop resources

Statistics - become a data detective!
Become a data detective and explore the statistical investigation cycle through a variety of meaningful contexts. Participants will gain a broader understanding of the key focuses of the statistics curriculum and ways to integrate across all learning areas.

To Add files

Making sense with equivalent fractions - year 7 and 8
This workshop will explore how prevalent fractional equivalence is in Stages 7 and 8, with a particular focus on applying it to addition, subtraction, multiplication and division with fractions. It will uncover how to make sense of, and apply a context for example 2/3 x 4/5 and 2 1/2 divided by 1/2.
Workshop powerpoint presentation


Go Figure! An exciting free resource (Figure it Out - Learning Media)
How teachers can make effective use of this free resource.This session will be a practical based session where we will explore and use activities from the series and look at ways of adapting to suit the differing learning needs of students within a class.
To Add

Differentiated test creation using e-asTTle
In this workshop we will look at creating a range of mathematics tests for different curriculum levels, how to assign the range of tests to students within one class, and how to get single-group and aggregated-group report data for teaching and learning.Teachers will also have an opportunity to discuss and share how they are using the data from e-asTTle to inform their Overall Teacher Judgement's.
Workshop powerpoint presentation

Curriculum progressions from Years 1 - 12 for test creation

e-asTTle national norms by Year Level and terms for Maths & reading

Maths-2011-e-asTTle_norm_tables_Sept 2010.doc
Algebra - hands on approach to develop algebric thinking
In this workshop, through hands on activities, we will go through the links between number and algebra that will support teachers to develop algebraic thinking in students.
This workshop aims at exploring charactrictics of pre algebras, patterns and relationships.

Maths-2011_Leader_Symposium_Algebra_ppt .ppt

Multiplication and division interactive tasks for year 4-8 students
This workshop aims to provide teachers with a range of multiplication/division problem solving tasks that students can work on independently or with teacher guidance. The interactive tasks stress the importance of student collaborative thinking and discourse and include the use of materials and context to scaffold the problem solving approach to learning.
Workshop instructions

Range of mult/div problem solving activities for curriculum levels 3 & 4

Maths-2011_How high.docx

JAM - Junior Assessment Tool
JAM is a new junior assessment tool for mathematics in Years 0-3. This workshop intends to develop understanding of the administration of tasks and how to use the tool. At the same time we will be considering its use for gathering evidence to inform teaching as well as evidence of meeting curriculum levels from The New Zealand Curriculum.
Workshop powerpoint presentation

Maths-2011_JAM 2011 Symposium_Final.ppt
The final JAM documents will be on www.nzmaths.co.nz within the next few weeks.

Progressions and transitions - Level 4 - Level 5
A look at the progressions in The New Zealand Curriculum Mathematics from Level 4 to Level 5, the experiences, hopes and fears of secondary teachers and the consequent implications for teaching and learning in Primary and Intermediate Schools.
Workshop summary notes

Problem solving