New Zealand Association of Mathematics Teachers

Biennial Conference 2003

"Proud sponsors of Maths Education in New Zealand"

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Workshop Four

Thursday 10th July

10:30 am

Updated on the 24th June

The programme is now final.

4.01    

Arithmetic is Fun!

Vaughan Jones

Vaughan Jones worked on the Index Theorem for von Neumann algebras, continuing work begun by Connes and others. His most remarkable contribution, however, was that in the course of this work he discovered a new polynomial invariant for knots which led to surprising connections between apparently quite different areas of mathematics.

Venue   School House   

CL              

Repeated        No      

4.02    

Middle Points

Laurinda Brown

Come and explore some 'Middle Points', ways of starting a lesson for mixed ability classes is built in. You might need to do some work on the skills some of the students need before they can tackle the problem further and you may want to know that there are some rich mathematical places to go from the starting activity. We will begin by working on some mathematics as a group and move into sharing teaching strategies that support students in 'becoming mathematicians'. The magic is in their need to know and working with others in a community.

Venue   Senior Common Room      

CL      All     

Repeated        No      

4.03    

MAP Forum

Alan Parris (Linwood High School) and Jan Wallace (Auckland College of Education)

What is the place of MAP Certificate courses in 2003 and beyond? A discussion and information on the available resources, Unit Standards translation into MAP grades, costs, timelines, the NZAMT website and access to assessment tasks, January updates, National Certificate in Mathematics (Level 1 and 2) updates, implications for Mathematics courses in Years 11, 12 and 13.  Basically this will be an open forum on all MAP issues.

Venue   Day House       

CL      4 – 6   

Repeated        No      

4.04    

Using Physical Models and Activities to Gain Understanding

Jack Linklater (Fairfield College)

Pupils from Fairfield College will be present to run simultaneous workstations using physical models and activities for participants to work through.  The following aspects from Levels 2 to 5 of the curriculum will be included: fractions, decimals, number and measurement systems, integers, basic operations, logical reasoning and geometric language.         

Venue   42 and 43       

CL      2 – 5   

Repeated        No      

4.05    

Activities for Years 11 and 12 with some fun starter material

Lindsay Williams (Ashburton College) Ernest Duncan Award winner 2002

A selection of application activities for senior students with some teaching hints included. These will be interspersed (padded) with some lateral thinking problems and a few starters.  A time for sharing hints and activities for seniors is envisaged (time permitting), so please BYO activities and resources.  A calculator would be useful.

Venue   34      

CL      6 – 7   

Repeated        No      

Workshop 2.06 A Lindsay Williams
Workshop 2.06 B Lindsay Williams
Workshop 2.06 C Lindsay Williams

4.06    

3D Models in Mathematics

Jim Hogan (Secondary Maths Advisor – Rotorua)

This is a practical hands-on exploration of the Platonic solids and a chance to make attractive classroom models for hanging off the ceiling.  It uses compass constructions and is an excellent preparation for Achievement Standard 1.4 as well as a great practical activity for years 7 to 10.

Venue   35      

CL      4 – 6   

Repeated        No      

4.07    

Use of calculators in NCEA Level 3 Calculus

Ye Yoon Hong (Mathematics Education Unit, University of Auckland)

This workshop shows the value of using CAS calculators like the TI-89 in Level 3 mathematics. Topics to be covered include left and right-hand limits, rates of change, differentiability, differentiation, and integration.

Venue   30      

CL      8       

Repeated        No      

4.08    

“FundaMentals” – Using games to develop and practice mental computation

James Burnett (ORIGO Professional Development, Queensland Australia)

Mental computation is receiving increased attention in mathematics curricula around the world. This session will explain the importance of mental computation and model games and activities that can be used to develop the skills needed to compute mentally. Participants will be asked to play the games and to suggest ways of changing the rules and the mathematics to create variations and extensions.

Venue   36      

CL      Primary 

Repeated        No      

4.09    

Teaching Integers Years 5 to 10

Melissa Bell and Sharon Livingstone (Dunedin College of Education)

This workshop will identify some of the difficulties and challenges in teaching integers and discuss the place of teaching integer concepts with reference to the New Zealand Number Framework.  By analysing children’s misconceptions of negative numbers we will explore and identify appropriate teaching activities and independent activities and games.  The emphasis will be on the use of different equipment to model operations with integers.

Venue   38      

CL      2 – 5   

Repeated        No      

4.10    

Numeracy for Year 7 and 8 Students

Sue Graham (Massey University, Ruawharo Campus, Napier)

A session examining the practical development of key number knowledge for students at Years 7 and 8.  Participants will also look at the identification of key numeracy strategies and how these might be further developed within classroom programmes.     

Venue   37      

CL      4       

Repeated        No      

4.11    

Developing Place Value Understanding

Ngaire Davies and Karen Walker (Massey University)

Children's ability to use advanced mental strategies or formal algorithms can be hindered by poor place value understanding. This workshop focuses on recent research findings and provides practical activities for the development of sound place value understanding.

Venue   40      

CL      Primary 

Repeated        No      

4.12    

ANZ Maths Week 2003

Ian Stevens (Maths Adventures Ltd. and Massey University)

 “Maths Week, my favourite subject.” Joseph, aged 9.

“The girls are loving the challenge.  I can’t remember a time of more focused group work with a Year 10 class”.  

A comment from a teacher involved last year.

This workshop will outline how to be part of the excitement.  Some of the activities examined will include; survivor series, daily challenges, games and the new ANZ auction.  Hear about the positives of Maths Week and how teachers have organised Maths Week in previous years.

Venue   Hamilton House   

CL      All     

Repeated        No      

4.13    

Problems and puzzles for you and students in Years 7 to 10

Tony Ward (Cumberland High School, NSW, Australia)

A mixture of puzzles and problems of varying difficulty from many sources. Find out if you can you solve the McDonald’s problem. The use of literature, crosswords and music will also be considered. Participants will need a pen and paper.

Venue   41      

CL      4 – 5   

Repeated        No      

4.14    

The algebra behind the Trachtenberg method of speed Mathematics

Julian Kissock (UCOL – Palmerston North)        

This workshop will examine the algebra behind this alternative method of multiplication / division and addition / subtraction.  It would be useful as an introduction to algebra through investigation or as an alternative for learning how to multiply.  We will also look at squaring numbers.  The workshop is suitable for middle primary to senior school.

Venue   28      

CL      3 – 8   

Repeated        No      

4.15    

Tinkering with plots – intuitive data analysis for little kids (and maybe some not so little!)  Anthony Harradine

The teaching and learning of data analysis is an evolving area. Traditionally we have thought about what we need students to do later in their schooling and try to prepare them for the techniques they will use by building from the top down. If we try to think about building from the bottom up, can we reach the same endpoint – or even a better one?  Come and see some work done with students (aged 9 year olds) on data analysis where they first work with their natural instincts and then use a computer environment called Tinkerplots (that is one step on from their instincts rather than 10 steps down from their trained skills of the future). Tinkerplots is being developed by the SERG at the University of Massachusetts. You will see it in action through the work of my students.

Venue   ICT1    

CL      All     

Repeated   No

4.16    Using On-Line and Computer Based Resources in Teaching Programmes

Ro Bairstow (Kings College)

A look at the ways in which resources such as websites, spreadsheets and powerpoint presentations can be incorporated into lessons and schemes.  

Venue   ICT2    

CL      All     

Repeated  Thurs 4.15 pm 6.15      

4.17    

How to Use Mathcad in the Classroom

Mark Brienne (Hoare Research Software)

Hoare Research Software (HRS) has been supplying a range of mathematics based technical software products and support to many professionals such as engineers, scientists and business analysts for more than ten years.  HRS supply a product called Mathcad, used by engineers, scientists and mathematicians, for undertaking a range of calculation tasks and documentation.  This product will be very useful for exposing students to the type of products used by professionals on an everyday basis.  Teachers will also benefit from the use of Mathcad as a teaching aid in demonstrating mathematical theory.  This is your chance to see the many ways in which this product could be used in the classroom.

Venue   Library Suite   

CL      All     

Repeated Thurs 4.15 pm 6.16 Friday 9.45 am 7.14     

4.18    

CensusAtSchool New Zealand

Megan Jowsey (CensusAtSchool Project Coordinator, Department of Statistics, University of Auckland (on leave from Birkenhead College).  Royal Society of New Zealand Teacher fellow.)

CensusAtSchool New Zealand (www.censusatschool.org.nz) provides New Zealand students and teachers with the opportunity to become part of an international project to enhance statistical literacy in the classroom. CensusAtSchool involves school years 5 to 10 and takes place during Maths Week in August this year. The project is being hosted by the University of Auckland in conjunction with Statistics NZ. Find out how your school can join this web based project and your students can be personally involved in collecting and handling data that is relevant to them. View and try teaching resources in data-handling and IT activities that are freely available on the website.       

Venue   Art Suite       

CL      2 – 5   

Repeated        Friday 9.45 am 7.13    

For a copy of their brief info flyer click here.

 Other Workshops

Enquiries, suggestions and comments to website@nzamt8.ac.nz

copyright NZAMT8 Committee 2002, 2003