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2018 NSW: Maths Puzzle 6

6th puzzle by Dr Harry Wiggins

You are given nine coins of the same denomination and you know that one of them is counterfeit and that it is lighter than the others. You have a pan balance which means you can put any number of coins on each side and the balance will tell you which side is heavi...

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2018 NSW: Maths Puzzle 5
 
5th puzzle by Dr Harry Wiggins

A teacher wrote a VERY LARGE number on the board and then he wrote 60 lines.

The 1st line is: "The number is divisible by 2.
The 2nd line is: "The number is divisible by 3. 
The 3rd line is: "The number is divisible by 4.
.
.
.
(and so on)
The 60th line...
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2018 NSW: Maths Puzzle 4

4th puzzle by Dr Harry Wiggins

It is Nxolo's birthday. She has one big cake and wants to divide it into the many pieces. She knows the number of people at her birthday party is either 20 or 18. What is the least number of pieces, she has to divide her cake so that in either case, she will be ab...

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2018 NSW: Maths Puzzle 3
Dr Henry Wiggins

3rd puzzle by Dr Harry Wiggins

A palindromic number is a positive integer (consisting of one or more digits) that remains the same when the digits are reversed. For example: 386683,2442 and 111 (Nelson number, see https://en.wikipedia.org/wiki/111_(number)) are palindromic numbers, but 3447 and...

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Does society need IMO Medalists?

In this Blog, the invited presentation of Siu Man Keung at the IMO Forum during IMO 2016 in Hong Kong, is reproduced here with his permission. We trust readers will find his title and presentation provocative, and the three problems in the APPENDIX stimulating. (The appendix is available for downloa...

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Who Needs Mathematics?

The world we are living in is faced with many problems some of which are pollution, global warming, over-population, starvation, traffic congestion, crime, corruption, terrorism and war. In combating and addressing some of these problems, mathematics as the language of modern science generally, can ...

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A Critique of the School Mathematics Curriculum
Prof. Michael de Villiers
The mathematics curriculum at South African schools provides valuable skills in dealing with numbers and studying geometrical objects using graphs, trigonometry, coordinate geometry and so on. However, for various reasons, teaching and assessment are inclined to treat many fundamental ideas superficially, so much so that non-routine problems are largely downplayed.
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The Work of Teaching

In this video 'The Work of Teaching' by Deborah Ball the challenges facing mathematics teacher are outlined. Not only do good mathematics teachers require solid content knowledge, but they also need a sound pedagogical understanding of the difficulties learners may experience as well as the positive intuitions they may bring to the classroom.

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