An Australian Research Council Linkage Project conducted by a team from RMIT University in collaboration with the
Department of Education & Training Victoria and the
Tasmanian Department of Education from July
2003 to June 2006.
Prepared by the RMIT Research Team led by Professor Dianne Siemon
RMIT University, October 2006.
TASMANIA
Department of Education

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This CD-ROM contains a brief description of the project, a report on project findings, and copies of the materials and resources used in conjunction with the Scaffolding Numeracy in the Middle Years Linkage
Project 2003-2006 (SNMY).
The report on project findings includes a rationale for the analyses used, a detailed data report, and a summary of outcomes in relation to the research questions. It also includes the summary data provided to research schools at the Cluster meetings in 2005 and 2006.
The materials include two validated Assessment Instruments , the elaborated and final version of the Learning and Assessment Framework for Multiplicative Thinking , an
Intervention Program for ‘At-Risk’ Students
, a set of targeted interventions in the form of Learning Plans for each level of the framework, and a number of schooldeveloped Authentic Tasks .
The resources include copies of the support materials used in professional development sessions and/or school visits, papers and presentations not included elsewhere, and a bibliography.
The Research Team believes the information and material contained on the CD-ROM is a valuable and useful resource to help scaffold the development of multiplicative thinking and thereby improve numeracy outcomes in the middle years of schooling. However, as is true of all teaching and learning materials, teachers are advised to carefully read the activities and tasks in relation to the Learning and Assessment Framework for
Multiplicative Thinking with a view to modifying or adapting the activities to suit the particular, identified learning needs of their students.

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Overview and Project Findings
Assessment Materials for Multiplicative Thinking
Learning and Assessment Framework for Multiplicative Thinking
Intervention Teaching Program for At Risk Students
Learning Plans
Support Materials
Authentic Tasks
Papers and Presentations
Bibliography

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 Project Description and Acknowledgements
 Research Approach and Rationale by Dr John Izard Adjunct Professor RMIT University
 What We Have Learnt
SNMY Research Cluster Meetings 05 (PowerPoint Presentation)
SNMY Research Cluster Meetings 06 (PowerPoint Presentation)
 Technical Data Report by Dr John Izard Adjunct Professor RMIT University
 Summary of Project Outcomes by Professor Dianne Siemon & Dr John Izard Adjunct Professor RMIT University
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 Instructions for Teachers
 Assessment Task Booklet Option 1
 Assessment Task Booklet Option 2
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 Introduction
 Learning Assessment Framework
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 Introduction
 Intervention Teaching Program for At Risk
Students by Margarita Breed 2006
Australian Postgraduate Award Industry scholarship recipient
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 Introduction
 Level 1 Consolidating
 Level 1 Introducing
 Level 2 Introducing
 Level 3 Introducing
 Level 4 Introducing
 Level 5 Introducing
 Level 6 Introducing
 Level 7 Introducing
 Level 8 Introducing
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 Introduction
 SNMY Key Ideas and
Strategies
(PowerPoint)
 Subitising Materials
 Additional Assessment
Tasks
 Multiple Patterns
 Multiplication Toss
 Place Value Game
 How Many Wholes Can You
Make
 Supermarket Packer
 Target Practice
 Factor Cross
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Max’s Matchsticks
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C.
D.
E.
F.
A.
B.
Subitisation Dice and Card Set
Subitisation Two Collections 1-5
Ten Frame Doubles Set
Ten Frame Build on Five Set
Subitisation Two Collections 1-7
Ten Frame Random Set
I.
J.
G.
H.
K.
Two Ten Frame Set
Subitisation Three Collections 1-5
Subitisation Three Collections 1-7
Subitisation Four Collections 1-5
Subitisation Four Collections 1-7
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 Computer Game
 Fencing the Freeway
 Filling the Buses
 How Far Is It
 Missing Numbers
 Orange Juice Task
 Pizza Party
 School Fair
 Swimming Sports
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 Introduction
 Authentic Task Guidelines
 Pizza Day
 Mini Golf
 Sports Day
 Fatty Foods
 Health Survey
 Healthy Lunches
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Paper Audit
Water Conservation
A Useful Grid
Pocket Money
Interruptions Galore
Mud Bricks
Food Festival
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 From Additive to Multiplicative Thinking – The Big Challenge of the Middle Years by Professor Dianne Siemon, Margarita Breed and Jo Virgona
 A New Use for an Old Tool – Cuisenaire by Professor Dianne Siemon and Margarita Breed
 Multiplicative Thinking by Professor Dianne Siemon
 Partitioning - The Missing Link in building Fraction Knowledge and Confidence by Professor Dianne Siemon
 Teaching and Learning For about and Through Problem Solving by Professor Dianne Siemon and George Booker
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
There’s More to Counting than Meets the Eye by Professor Dianne Siemon
 From Their Point of View – Middle Years’ Students Perceptions of School
Mathematics by Professor Dianne Siemon and Jo Virgona
 The Derivation Of A Learning Assessment Framework For Multiplicative Thinking by Professor Dianne Siemon, Dr John Izard, Margarita Breed & Jo Virgona
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 References and Further Readings
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