scaffolding numeracy in the middle years project findings, materials and resources tasmania...

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Scaffolding Numeracy in the Middle Years Project Findings, Materials and Resources TASMANIA Department of Education 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.

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Page 1: Scaffolding Numeracy in the Middle Years Project Findings, Materials and Resources TASMANIA Department of Education An Australian Research Council Linkage

Scaffolding Numeracy in the Middle Years

Project Findings, Materials and Resources

TASMANIA

Department of Education

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.

Page 2: Scaffolding Numeracy in the Middle Years Project Findings, Materials and Resources TASMANIA Department of Education An Australian Research Council Linkage

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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.

Page 3: Scaffolding Numeracy in the Middle Years Project Findings, Materials and Resources TASMANIA Department of Education An Australian Research Council Linkage

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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

Page 4: Scaffolding Numeracy in the Middle Years Project Findings, Materials and Resources TASMANIA Department of Education An Australian Research Council Linkage

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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

Page 5: Scaffolding Numeracy in the Middle Years Project Findings, Materials and Resources TASMANIA Department of Education An Australian Research Council Linkage

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Assessment Materials for Multiplicative Thinking

Instructions for Teachers

Assessment Task Booklet Option 1

Assessment Task Booklet Option 2

Return to Contents

Page 6: Scaffolding Numeracy in the Middle Years Project Findings, Materials and Resources TASMANIA Department of Education An Australian Research Council Linkage

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Learning and Assessment Framework for Multiplicative Thinking

Introduction

Learning Assessment Framework

Return to Contents

Page 7: Scaffolding Numeracy in the Middle Years Project Findings, Materials and Resources TASMANIA Department of Education An Australian Research Council Linkage

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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

Page 8: Scaffolding Numeracy in the Middle Years Project Findings, Materials and Resources TASMANIA Department of Education An Australian Research Council Linkage

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Learning Plans

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

Return to Contents

Page 9: Scaffolding Numeracy in the Middle Years Project Findings, Materials and Resources TASMANIA Department of Education An Australian Research Council Linkage

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Support Materials

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

Return to Contents

Page 10: Scaffolding Numeracy in the Middle Years Project Findings, Materials and Resources TASMANIA Department of Education An Australian Research Council Linkage

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Subitising Materials

A. Subitisation Dice and Card Set

B. Subitisation Two Collections 1-5

C. Ten Frame Doubles Set

D. Ten Frame Build on Five Set

E. Subitisation Two Collections 1-7

F. Ten Frame Random Set

G. Two Ten Frame Set

H. Subitisation Three Collections 1-5

I. Subitisation Three Collections 1-7

J. Subitisation Four Collections 1-5

K. Subitisation Four Collections 1-7

Return to Support Materials Return to Contents

Page 11: Scaffolding Numeracy in the Middle Years Project Findings, Materials and Resources TASMANIA Department of Education An Australian Research Council Linkage

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Additional Assessment Tasks

Computer Game

Fencing the Freeway

Filling the Buses

How Far Is It

Missing Numbers

Orange Juice Task

Pizza Party

School Fair

Swimming Sports

Return to Support Materials Return to Contents

Page 12: Scaffolding Numeracy in the Middle Years Project Findings, Materials and Resources TASMANIA Department of Education An Australian Research Council Linkage

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Authentic Tasks

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

Return to Contents

Page 13: Scaffolding Numeracy in the Middle Years Project Findings, Materials and Resources TASMANIA Department of Education An Australian Research Council Linkage

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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

Page 14: Scaffolding Numeracy in the Middle Years Project Findings, Materials and Resources TASMANIA Department of Education An Australian Research Council Linkage

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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 ContentsReturn to Papers and Presentations

Page 15: Scaffolding Numeracy in the Middle Years Project Findings, Materials and Resources TASMANIA Department of Education An Australian Research Council Linkage

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Bibliography

References and Further Readings

Return to Contents