OTRNet Newsletter 45
 
Hi and welcome to our May newsletter, the second for the year.

Not that it effects maths education, but the school year in Australian states seems to vary more and more each year.  This is the first week since March 18th that all states classes have been back from holidays.  Hence the timing of the newsletter. It looks like future newsletters will have to go out when they are due, in spite of people being on holidays.

Recently I had the privilege to attend the "Quality Maths in the Middle Years Conference" which was held on the 8th & 9th April at the Esplanade Hotel in Fremantle WA.  An inspiring collection of Australian maths educators worked hard over two days to formulate some ideas and principles that might help guide us all in dealing with Early Adolescents, an age group that has specific needs.  Copious notes were made and to quote the AAMT website "... AAMT will be publishing the proceedings of the conference. This important resource will contain the summary of discussion of key issues in middle years mathematics, summaries of the 25 showcase presentations made by outstanding teachers from around the country and other materials. "  Some brief thoughts on what was covered follow in the newsletter.

All the best for second term, 

Regards,
 
Mark
 
 

In this newsletter there is information on:
 
1.    Middle Years Conference Thoughts
 
2.    Internet Resources
 
3.    Learning & Teaching With The Modules - Part  9 - Algebra
 
4.    Puzzle #8
 
5.    OTRNet in South Australia and Victoria
 
6.    Upcoming PD from the Associations
 

 
1.    Middle Years Conference Thoughts
 

There were many different showcase presentations and discussions that took place at the conference along a number of "themes".  For myself, the conference highlighted two points:

Firstly the many "tensions" (as described by Steve Thornton) that exist on issues.  It was very informative and enthusing to be involved in discussions around these tensions.  The discussions indicated that there are very few simple answers in what is the right or wrong way to go about educating students.  Such issues as whether we embed our mathematics in rich tasks or teach it explicitly were discussed at length.  There was no simple answer.  What was obvious is that ongoing discussion by teachers in a professional environment will enable all of us to find the best place to be on the continuum for each group of students, each set of concepts and each desired outcome.

The other significant thought I was left with after the conference was the need to cater specifically for students in the middle years.  People in this age group, where transition from child to young adult takes place, have behaviours and needs that require pedagogies, learning experiences, environment and management designed for them.  These things will not be the same as when they were children, and will not be the same when they mature into young adults.  This thought rang very true to me as a parent with two children currently in this phase.

 
 
 
2.  Internet Resources
 
Two more Internet sites that may provide you with direct support for your lessons, or with the opportunity to enhance your ability to teach mathematics. 
 
Content: Project InterActivate  The materials for project interactivate fall into three main categories: activities, discussions, and lessons. There are additional support materials in the form of an overview of the goals of the project, a dictionary, standards for middle school mathematics, and hyperlinked tables of contents for several middle school math texts.  You can find this site at: http://www.shodor.org/interactivate/
 
Pedagogy: Caine Learning - The Principles Wheel
  The Caine's goal has been to synthesize research from many disciplines into a set of brain/mind learning principles to serve as a foundation for thinking about learning.
You can find this site at: http://cainelearning.com/pwheel/
 
 
 
3.   Learning & Teaching With The Modules - Part 9 - Algebra
 
This newsletter continues the series of advisory pieces for schools using the Integrated Maths Modules as a resource for their students learning.  This time we deal with the issue of covering the algebra strand.

The modules were written with a view to be relevant today and in the coming years. In terms of algebra, the requirement for manipulation skills is decreasing every year. With the advent of graphic calculators across our courses already and CAS soon to be "available" as well, the need for students to be able to manipulate variables is becoming less.

What this does is move the emphasis from Algebra as manipulation of variables to Algebra as Functions that model situations. You will find that our modules take students deep into this aspect of algebra, giving them a better understanding of algebra's real purpose. In the process of learning about functions, the manipulative algebra that is actually required can be acquired.

I first became aware of this view of algebra when WA schools took up the "Journey Into Mathematics" series from the Shell Centre in Britain in the 1980's. It is clearly reinforced in the series "Access to Algebra" written here in Australia and used by many schools.

In a crowded school curriculum with a greater need to develop processes and understandings with students, the reduced need for manipulative skills in algebra frees up some learning time. Its reduction and the move to a functional approach also makes it much easier for students to see, and teachers to demonstrate, the purpose of algebra. This helps student motivation and hence learning.

There is also support in maths education circles for introducing the abstract components of algebra later in their schooling and teaching skills to students as required rather than in a "preparatory" form. These are views the modules have supported.

What we have kept in the modules, within the functional approach, is the solving of equations and the recognition of equivalent algebraic expressions. However, rather than solving equations by manipulation or factorisation a graphical approach is encouraged. As for equivalent expressions the modules would support students seeing that tables of values or graphs were identical rather than being able to expand or simplify. If these more formal methods are important, they should come later, when students understand what they are doing.

Having said all of this I know that there are schools who are adding some manipulative algebra to a modules based course. Personally I don't think it is necessary in the middle years having experienced teaching without it. If you decide to continue with some there is obviously a huge reservoir of this sort of material in traditional textbooks.

 
I hope this provides further useful background for teachers using the modules.  Feel free to email me to discuss this further if you wish: mailto:markrobrien@otrnet.com.au
 
The PowerPoint presentation "Focusing On Learning in the Classroom" that demonstrates the underlying classroom structure for teaching with the modules, and a paper written in this, can be viewed from our website at this location.
 
Parts 1 to 8 of this series were on: 1. The Three Stage Learning Cycle, 2. Constructivist Learning, 3. Student Centred Learning, 4. Cooperative Learning, 5. Assessment, 6. TLR pages, 7. Classroom Management, 8. Homework.  If you missed parts 1 to 8 of this series and would like to read them you can access them in Newsletters 37 to 44 at our newsletter archive here: http://www.otrnet.com.au/Newsletters/newsarchive.html
 
 
4.    Puzzle #8 (A free resource for readers!)
 
Here is the eighth in our series of Puzzles from the IMM series.  Presented as a pdf file this puzzle can be downloaded by newsletter readers and copied for use in their classroom.
 
This week's puzzle is "Cold and Sweaty" from module C02: Number.  It is based on integer operations.
 
To download the puzzle use the link below:
(It may work directly to left click on the link or you may need to right click and choose "Save Target As".)
 
 
5.    OTRNet in South Australia and Victoria. 

For teachers in South Australia a reminder that I will be presenting at the MASA Conference coming up this week on Thursday 28th April and Friday 29th. 

The sessions I am presenting are on:

  • Integrated Maths Modules - The lesson structure and the resources
  • Cooperative Learning in the Maths Classroom

OTRNet will also have a trade display at this conference where you can look at our resources or discuss issues and requirements with me.

For teachers in Victoria I will be presenting four sessions at this year's MAVRIC conference in Wodonga on Friday May 13th.  The sessions will be on:

  • Integrated Maths Modules - One session on the lesson structure, one on the actual resources
  • Cooperative Learning in the Maths Classroom
  • Constructivist Learning in a Student Centred Environment with students working Cooperatively

We have also mailed information and a sample module to schools in South Australia and schools geographically close to Wodonga.  I hope this proves to be useful for you.

 

 
6.    Upcoming PD from the Associations
 
Notice of Professional Development from the Associations.
 
MAWA:   
Primary Convention: 6th & 7th May: Esplanade Hotel
MAWA Goes Country: 14th May & 28th May
State Conference: 12th to 14th August: Bunbury
 
MAV:   
MAVRIC: Moving with Maths: Friday 13th May: Wodonga
Secondary Professional Learning: Maths & Science: 24th May - Croydon, 7th June - Colac, 8th June - Sunshine, 15th July - Frankston.
 
MASA:
2005 Annual Conference: Thursday 28th & Friday 29th April: St Peter's College
 
QAMT:
May Conference: Saturday 7th May: O'Shea Centre
 
MANSW:  
Practical Ideas For Teaching Algebra 7-10:  Tues 17th May: Campbelltown High School
Using Work Samples to Determine Levels of Achievement: Tues 24th May: St Ursula's College
Using of Range of Technologies in Years 7-10: Sat 4th June: PLC Sydney
(email mansw@math.nsw.edu.au)
 

Learning Experiences that enthuse students ...
 
Our Integrated Maths Modules are designed to help students connect to mathematics and see its purpose.  Use them in your classroom.  See this page for more information: http://www.otrnet.com.au/IntegratedMathsModules/integrated_maths_modules.html
 

 
If you have completed our free registration you can join the growing group of people and schools who order online and now receive 10% discount off normal prices!
 

OTRNet thanks you for your time in looking at our newsletter.
 
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Mark R. O'Brien
Online Teachers Resource Network
PO Box 49
Glen Forrest  WA  6071
E-mail: markrobrien@otrnet.com.au
Phone: 0427 957 313  or  (08) 9252 0980
Fax: (08) 9252 0980