Hi David, Every week we send to primary schools around Australia Maths worded problem sheets. The problems on the sheets reflect current events — pop stars, sport, movies, TV programs, special seasons (Christmas, Easter, ANZAC DAY, etc.), but are written in such a way that teachers love them, students love them, and they combine reading comprehension with building Maths problem-solving skills.

I’d be delighted to email you copies of our recent Aussie Maths 4-Level Packs, and to receive from you a crit of them. In particular, we’d be keen to know how, from your perspective, we can improve the content of our sheets. We see them as mainly for student use, but with a definite “professional development” component, particularly for younger primary teachers, many of whom struggle with some areas of the Maths curriculum. You can call me on (03) 8746 8332, or email me on robin.philbrick@bigpond.com

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// Define the initial vector.

var x = 11;

var y = 63;

// Define the matrix.

var matrix = [[0.6, 0.8],

[0.4, 0.2]];

// A function to perform a Markov step

// and print the results.

function doMarkov() {

var newX;

var newY;

newX = x*matrix[0][0] + y*matrix[0][1];

newY = x*matrix[1][0] + y*matrix[1][1];

x = newX;

y = newY;

console.log(“x, y: ” + x + “, ” + y);

}

I did this today with my Year 12 Maths C class in Queensland and it was very successful. I have a class of 17 and we used our calculators to generate random digits (potentially not truly random as some students ended up with the same sequence of values – but a good side discussion happening there) and we walked through 10 stages of the first situation given. Students made good observations around what was occurring and predictions of what would happen if we had a larger group and walked through a larger number of stages.

Thank you for sharing! And thanks to Jim at QUT that pointed me in your direction. ]]>

And yes I agree the natural numbers/integers are very interesting! ]]>