David W.

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How to think like a mathematician

David W. posted an article on - Sep 10, 2010, 3:44 pm
Buy this Sierpinski triangle design on a PiFactory tee-shirt REAL mathematics develops by stumbling forward, and occasionally backwards. Take a problem, try to solve it, reflect on what you’ve learned and then change the problem and try again. Heuristics. It’s not how the math textbooks present...
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Engaging math for all learners

David W. posted an article on - Jun 11, 2010, 3:13 pm
Buy this Eratosthenes Net on a PiFactory tee-shirt The UK extends its revised secondary (high school) national curriculum to 15-year-olds from September. The focus is on engagement, and in particular engaging all learners — regardless of ability — with rich, varied and compelling math activitie...
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A picture is worth a thousand calculations

David W. posted an article on - Mar 24, 2010, 12:09 am
Buy this Sierpinski triangle design on a PiFactory tee-shirt BREANNA is a quiet student who patiently sits in my math class waiting for the ordeal to end. She is too polite to complain or cause a fuss or disturb any of her peers with disruptive behavior. She does take some notes, and with encourag...
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Tilting towards Nrichment

David W. posted an article on - Dec 31, 1969, 7:00 pm
Buy this Eratosthenes Net on a PiFactory tee-shirt TILTED SQUARES from the inspirational UK site nrich.maths.org is a great example of an open-ended math problem that leads to some deep math thinking… even among students who don’t normally show much interest in their math lesson. The task at f...
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The elephant in the classroom

David W. posted an article on - Dec 31, 1969, 7:00 pm
Buy this Mathematicians have Great Powers PiFactory tee-shirt JO BOALER’s research into what works and what doesn’t inside a math classroom has gone a lot further than just watching, literally, hundreds of math classes. She has tracked down the pupils she’s observed years later as adults and ...
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Wizard math… day 2

David W. posted an article on - Dec 31, 1969, 7:00 pm
Buy this Homage to a Square PiFactory tee-shirt WE’D LOOKED at the sequence generated when you take a hexagon and steadily add more hexagons. It gives a linear rule. Some students got this easily, others found it challenging. For 20 minutes the task was to work through a handful of similar probl...
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Wizard math

David W. posted an article on - Dec 31, 1969, 7:00 pm
Buy this Mathematicians have Great Powers PiFactory tee-shirt THERE are 35 players standing in a circle. As the games wizard walks round the circle she kills every second player until only player survives. The players are numbered one through 35. Which player lives? The guesses came fast. The firs...
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Grading gets an F

David W. posted an article on - Dec 31, 1969, 7:00 pm
Buy this Persian Geometry design on a PiFactory tee-shirt THE PRINCIPAL of my school has bravely initiated a discussion about whether or not D and F grades should be used by teachers. The argument goes along the lines if D and F grades are ditched then teachers will need to work with their pupils t...
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Take it nice and slow

David W. posted an article on - Dec 31, 1969, 7:00 pm
Buy this Sierpinski triangle design on a PiFactory tee-shirt AS KIDS move into adolescence they need to become less impulsive and more reflective. So the brain’s output controls in an adolescent are pushing the teenager to take her time and not do the first thing that comes into her head. “Thi...
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No gain from the pain of testing

David W. posted an article on - Dec 31, 1969, 7:00 pm
Buy this Homage to a Square PiFactory tee-shirt HIGH_STAKES testing on the rise since 2002 and No Child Left Behind, may have lead to more hours spent on reading and math in schools, but there have been no increases in learning. And the curriculum, particularly in the humanities and liberal arts, ...
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Lakatos, the Jack Kerouac of math

David W. posted an article on - Dec 31, 1969, 7:00 pm
Buy this Sierpinski triangle design on a PiFactory tee-shirt “WHEN will I need any of this in real life?” is such a common question in a math classroom that it is a cliché. At one level it is a tried and tested way to stop a lesson. At another it is a genuine question. After all, if a student...
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