## Story of the Logo

We are indebted to the Mathematical Association of Victoria for keeping this history on their site from 1998 until 2008.
Can there be a more European task than Task 166, Sphinx? It derives from the puzzle area of mathematics. These types of puzzles were prominent in the late nineteenth century when many people had sufficient spare time to use mathematics as a recreation. Its title refers to classic Western history, which is sometimes misrepresented as the history of the human race, thereby potentially demeaning other much older and longer surviving cultures.

 In the original form of the task, students were given four wooden pieces shaped as shown and challenged to arrange them into a larger 'Sphinx' shape. As it stands the task is a spatial challenge of moderate difficulty. At the teaching day in 1996 which initiated the project to trial the Northern Territory Aboriginal Kit in an urban Indigenous situation, two Year 5 Aboriginal and Torres Strait Islander students, Tyler and Michael from Norris Road School, accepted the challenge. They solved it quickly, but then, since all Task Centre tasks represent the tip of an iceberg, they were challenged to investigate further.

The solution of the task card problem shows that the base, height and side lengths of the new Sphinx are twice as long as the corresponding lengths in a single Sphinx shape. The boys' teacher pointed this out and asked them to relate this '2 times' information to the fact that the new Sphinx was made of four original ones.

Suppose we made the base as long as three original Sphinx shapes. If you could make a new, larger Sphinx how many original Sphinx shapes do you think you would need? If the '3 times' Sphinx could be made, would all the side lengths be three times longer than the original?

Weeks later their solution to this quite difficult task was delivered to the project organisers. Their solution can be found at this link, but to appreciate the boys' effort, the reader should first try the original puzzle and then this extension - for several days!

Significantly the boys had claimed their solution by superimposing a drawing of the Aboriginal flag on their nine piece solution as in the logo. This act of leadership stands as testimony to:

• positive personal qualities such as interest, perseverance and tenacity
• command of mathematical content - in this case pattern, spatial and measurement concepts and skills
• a high level of mathematical reasoning
• a sense of community
It also pointed the way for other students and teachers to explore further. For example:
• Was the boys' solution the only '3 times' solution?
• If there is a '2 times' solution and a '3 times' solution, could there be a '4 times' solution (easy) or a '5 times' solution?
Can there be a more appropriate logo to support Aboriginal and Torres Strait learners who are taking on the challenge of western mathematics?

 Historic Note Michael & Tyler's drawing was originally used in the logo of the Mathematics Task Centre Project in this form...

 ...and since 2010 it has been the central element of the Mathematics Centre logo in this form.

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