Scaffolding Numeracy in the Middle Years Project Findings, Materials and Resources

1. TASMANIA Department of Education Scaffolding Numeracy in the Middle YearsProject Findings, Materials and Resources 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.

2. About this CD-ROM 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 school- developed 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.

3. Contents • 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

4. Overview and Project Findings • Project Description and Acknowledgements • Research Approach and Rationaleby Dr John Izard Adjunct Professor RMIT University • What We Have LearntSNMY Research Cluster Meetings 05 (PowerPoint Presentation)SNMY Research Cluster Meetings 06 (PowerPoint Presentation) • Technical Data Reportby Dr John Izard Adjunct Professor RMIT University • Summary of Project Outcomesby Professor Dianne Siemon & Dr John Izard Adjunct Professor RMIT University Return to Contents

5. Assessment Materials for Multiplicative Thinking • Instructions for Teachers • Assessment Task Booklet Option 1 • Assessment Task Booklet Option 2 Return to Contents

6. Learning and Assessment Framework for Multiplicative Thinking • Introduction • Learning Assessment Framework Return to Contents

7. Intervention Teaching Program for At Risk Students • Introduction • Intervention Teaching Program for At Risk Students by Margarita Breed 2006 Australian Postgraduate Award Industry scholarship recipient Return to Contents

8. Learning Plans • Level 4 Introducing • Level 5 Introducing • Level 6 Introducing • Level 7 Introducing • Level 8 Introducing • Introduction • Level 1 Consolidating • Level 1 Introducing • Level 2 Introducing • Level 3 Introducing Return to Contents

9. 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 Max’s Matchsticks Support Materials Return to Contents

10. 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 Two Ten Frame Set Subitisation Three Collections 1-5 Subitisation Three Collections 1-7 Subitisation Four Collections 1-5 Subitisation Four Collections 1-7 Subitising Materials Return to Support Materials Return to Contents

11. Computer Game Fencing the Freeway Filling the Buses How Far Is It Missing Numbers Orange Juice Task Pizza Party School Fair Swimming Sports Additional Assessment Tasks Return to Support Materials Return to Contents

12. Introduction Authentic Task Guidelines Pizza Day Mini Golf Sports Day Fatty Foods Health Survey Healthy Lunches Paper Audit Water Conservation A Useful Grid Pocket Money Interruptions Galore Mud Bricks Food Festival Authentic Tasks Return to Contents

13. Papers and Presentations • From Additive to Multiplicative Thinking – The Big Challenge of the Middle Yearsby Professor Dianne Siemon, Margarita Breed and Jo Virgona • A New Use for an Old Tool – Cuisenaireby Professor Dianne Siemon and Margarita Breed • Multiplicative Thinkingby Professor Dianne Siemon • Partitioning - The Missing Link in building Fraction Knowledge and Confidenceby Professor Dianne Siemon • Teaching and Learning For about and Through Problem Solvingby Professor Dianne Siemon and George Booker Return to Contents

14. Papers and Presentations cont… • There’s More to Counting than Meets the Eyeby Professor Dianne Siemon • From Their Point of View – Middle Years’ Students Perceptions of School Mathematicsby Professor Dianne Siemon and Jo Virgona • The Derivation Of A Learning Assessment Framework For Multiplicative Thinkingby Professor Dianne Siemon, Dr John Izard, Margarita Breed & Jo Virgona Return to Papers and Presentations Return to Contents

15. References and Further Readings Bibliography Return to Contents