Teaching Number in the Middle Years

For teachers of students aged 8 to 15

Kaye Stacey, Vicki Steinle, Kyla Marston, Dianne Chambers, Nancy Varughese

This product is a compilation on one CD of three professional learning resources for mathematics teachers developed at The University of Melbourne. Please enter the online version of each resource by clicking below. The CD is also available for purchase.

Copyright © 2011 The University of Melbourne

Resources Outlined

Teaching Number in the Middle Years is an amalgamation of 3 CDs which were developed and revised at The University of Melbourne between 2002 and 2006. They are intended to be used by practising teachers and also by teacher education students. While some of the technology used on the CDs is now dated, the concepts and ideas around teaching and learning mathematics are as relevant as ever and are presented in an easy to understand format.

These three resources offer practising teachers numerous hours in professional learning. Each resource is self-contained and will open in a separate browser window. Detailed instructions are provided in each resource on how to use it effectively. Each resource is briefly outlined below.

These resources can be referenced as: Stacey, K., Steinle, V., Marston, K., Chambers, D., Varughese, N. (2011) Teaching Number in the Middle Years. Melbourne: Melbourne Graduate School of Education, University of Melbourne.

Foundations for Teaching Arithmetic Version 2

This resource supports the teaching of arithmetic from early primary into junior secondary years.  It explains the important mathematical principles underlying the subject and demonstrates how these can be explained to students and shows both expert performance and intermediate stages.  It can be useful for both practising teachers and teacher education students. Text, extensive graphics, slideshows and small movies demonstrating solution methods of various stages of sophistication are used throughout the resource.

• Six topics: Whole Numbers, Fractions, Decimals, Negative Numbers, Measurement and Percent, Ratio and Rates

• Each topic focuses on Meaning and Models, Key Ideas, Teminology and Teaching Connections

• The Teaching Connections section describes important key ideas and their role in teaching

• Operations are explained extensively in the four number topics.

• All topics have extensive quizzes with fully worked solutions.

Editors - Kaye Stacey and Kyla Marston.

Teaching mental and Written Computation Version 1.1

This resource has been designed for teacher education students and practising teachers. It aims to show the importance of mental computation in the school curriculum and sets out goals for balancing mental, written and calculator computation.  Using subtraction and multiplication as examples, it explains some common strategies for mental computation and how to develop understanding of written algorithms.

• Detailed descriptions of mental methods used by children

• QuickTime movies which demonstrate children’s mathematical thinking

• Explanations of common errors made by children

• Strategies for teaching written and mental computation

• Mental method classification activities for teachers

• Activities for teacher education students

• Class worksheets and diagnostic tests for children

Authors - Kaye Stacey, Nancy Varughese, Kyla Marston

Teaching and Learning About Decimals Version 3.1

This CD presents an extraordinarily rich resource for all aspects of teaching about the meaning of decimal numbers. Learning to work confidently with decimals is an important part of numeracy, needed in all walks of life, but difficult to master. This resource explains the mathematical, psychological and pedagogical ideas for effective teaching of this topic. It draws upon extensive research carried out at the University of Melbourne.

• Six case studies of students

• Lessons and photocopy masters

• Interactive games and test (for PC only)

• Mathematics of the decimal place value number system

• Diagnostic tests and research data

• Advice on concrete models

Authors - Vicki Steinle, Kaye Stacey and Dianne Chambers

Copyright Information

The materials on this resource are copyright of the authors under the University of Melbourne Intellectual Property agreement, unless where otherwise specified. Permission is granted to teachers to make paper copies of these materials for use with their own students or colleagues within one school, provided that full recognition is properly and duly noted. Permission is not granted for commercial use.

Teaching Number in the Middle Years © 2011
Foundations for Teaching Arithmetic © 2003
Teaching Mental and Written Computation © 2003
Learning and Teaching about Decimals © 2006

Licence Agreement

WARNING: PERMISSION TO USE THIS SOFTWARE IS CONDITIONAL UPON YOU, THE CUSTOMER, AGREEING TO THE TERMS SET OUT BELOW

THIS AGREEMENT APPLIES TO ALL THREE SOFTWARE RESOURCES CONTAINED ON THIS CD "Teaching Number in the Middle Years", specifically, Foundations for Teaching Arithmetic, Teaching Mental and Written Computation, and Teaching and Learning about Decimals.

The software contained on this disk ("Software") has been developed by The University of Melbourne of Grattan Street Parkville, Victoria, 3010 ("University") through the Melbourne Graduate School of Education. The University has agreed to license use of the Software to you in consideration for your agreement to comply with the terms set out below.
1. The University grants to you a non-exclusive, non-transferable, revocable licence to use the Software strictly in accordance with these terms.
2. You must not, and must not allow or cause any other person to:
(a) print, copy, reproduce the Software by any means or in any form other than to make one copy of the Software for back-up and security purposes AND to photocopy printed materials for use with teachers or students within one school, with full recognition as above (for use on a school computer network or more than one machine, see network clause 11 at the end of this section);
(b) give, lease, assign, license, sub-license, transfer, distribute, disclose, disseminate, or publish the Software in any form to any other person or attempt to do any of these acts, except as permitted above and at clause 11 below;
(c) modify, adapt, alter, reverse engineer or decompile the Software;
(d) alter, change, remove or obscure any notices or other indications (including copyright notices) as to ownership of the Software; or
(e) access or use the Software on more than one personal stand-alone computer, or otherwise allow the Software to be accessed or used by more than one user at any one time.
3. You acknowledge that the licence granted by clause 1 does not make you the owner of the Software nor does it cause any transfer or assignment of any copyright or other intellectual or industrial property rights subsisting in the Software to you.
4. You acknowledge that the University is not obliged and will not maintain or update the Software.
5. The licence granted by clause 1 commences upon the opening of the sealed package by the Customer and shall continue until terminated by written notice from the University.
6. If liability of the University for breach of any term, condition or warranty implied by law into contracts for the supply of goods and services ("Prescribed Term") is capable of exclusion it is hereby excluded.
7. If liability of the University for breach of any Prescribed Term is capable of limitation it is hereby limited to resupply of the Software.
8. Except as provided by Prescribed Terms (if any) which are not capable of exclusion or limitation, or as expressly set out in these terms:
(a) the University makes no warranties in relation to the Software, including warranties as to performance or fitness for purpose; and
(b) you will not under any circumstances have any cause of action against, or right to claim or recover from, the University for or in respect of any loss, damage or injury (including without limitation any loss of profit, indirect or consequential loss, damage or injury) arising from the supply or use of the Software or any breach of these terms.
9. You agree to indemnify the University from and against liability and all loss and damage of any kind whatsoever caused directly or indirectly by any claim or action against the University arising directly or indirectly out of your use of the Software or any breach by you of these terms.
10. These terms constitute the entire agreement between you and the University in relation to their subject matter and supersede and cancel all prior understandings, negotiations and agreements in connection with that subject matter, and may only be varied by a written agreement between you and the University. They shall be governed by the laws in force in Victoria.
11.
School network computers – please note that all conditions stated in the Licensing Agreement above apply to licensing of the Software on school computer networks, except for point 2 (e) which is replaced by:

This Software may be installed on a K - 12 school computer network, provided one licence per 5 teachers of mathematics has been purchased.

This provision does not apply to teacher education institutions. Please contact us for licensing or bulk purchase in this situation.

Purchase CD and Contact Us

"Teaching Number in the Middle Years" can be purchased for AUD$44 from the Australian Association of Mathematics Teachers www.aamt.edu.au or directly from The University of Melbourne (Ms Pam Firth: p.firth@unimelb.edu.au or Kaye Stacey). For bulk purchase discounts, contact Pam Firth or Professor Kaye Stacey: k.stacey@unimelb.edu.au

The authors can be contacted at:
Professor Kaye Stacey
Melbourne Graduate School of Education
234 Queensberry St
The University of Melbourne
Victoria 3010
Australia
k.stacey@unimelb.edu.au

 

Copyright © 2011 The University of Melbourne