Assessment, Recording and Reporting in Mathematics (PDF file)
- April 1997
- Explore the concept of planning assessment when planning a lesson or unit of work rather than it being added on as an after thought. Alternative assessment techniques in mathematics education are explored.
- This paper has contributed to the Maths on the Move workshop day of the same name and is provided as a reference in that session.
- October 1999
- What would a curriculum for the 21st century look like? A paper to stimulate debate.
Learning to Work Like a Mathematician
- December 5th 2002
- Text of an address to the Annual Conference, Mathematical Association of Victoria.
- A development of the philosophy of Curriculum 2000 that builds the mathematics curriculum around the ways of knowing of a mathematician.
Maths Not At The Movies (PDF file)
- June 2006
- First published in Vinculum, Mathematical Association of Victoria, Volume 43, Number 2, June 2006
- As working like a mathematician becomes the focus of your teaching, even textbook problems are approached differently. In this article a classic 'stupid' textbook problem is examined in the cold grey light of dawn. Elements of the Working Mathematically Process become critical to its solution.
How Can Solving the World's Hardest Problem Inform Mathematics Teaching? (PDF file)
- November 30th 2009
- Text of an address to the Secondary Convention, Mathematical Association of Western Australia.
- Revision of Learning to Work Like a Mathematician (2002) enhanced by DVD and slide show and additional photo show. Slide show and photo show display in Acrobat Reader - use arrow keys to move through the slides.
- Video of the BBC Horizon Program Fermat's Last Theorem can be found on the web. For the purpose of this address only the first seven minutes is necessary. Finish at Andrew's words "Mathematician's just love a problem..."
An Ocean of Possibilities (Video & PDF file stored on Cube Tube)
- March 2010
- First published in Mathematics Teaching, Association of Teachers of Mathematics, UK, March 2010, Issue 217.
- The Working Mathematically Process is exposed through Task 216, Square Pairs, a problem that has been researched by two modern mathematicians. It becomes clear that the reason for mathematics education is simply to develop and expand that process. Elements of best practice teaching craft likely to captivate, fascinate and absorb students in this process are also explored. It is proposed that there is a broad ocean of possibilities similar to Square Pairs available when the decision is made to approach learning this way.