The Joy of X

The Joy of XLooking for a Christmas gift for a mathematically minded individual? Or perhaps you are being pestered to provide ‘a list?’

I’m happy to recommend this book: ‘The Joy of X’ by Steven Strogatz which I read, and thoroughly enjoyed, in the summer.

As I said on my review of the book on Amazon, its a “… readable romp from 3 plus 3 to infinity, and beyond.”

Its written in a witty, readable style with enough detail to make it enjoyable but avoids getting bogged down in dry, mathematical formula (although I’m not sure if you can get bogged down in something that’s dry …? Sorry, I’m rambling, and rambling about my poor use of English.  Back to the review.)  I enjoyed the explanation of Google’s Page Rank algorithm – so much so that it inspired me to have a go at creating my own, new, ranking system for football’s Premier League (perhaps that’s a future post?) and I had a real light-bulb moment when the author explained, visually, the mathematics behind completing the square.

Some difficult mathematics is explained in an engaging and understandable way and I reckon that the book would be just about accessible to, say, a 14 year old who is ‘good at maths’ and enjoys the subject, would make good background reading for an A-Level mathematics student, and it would certainly be enjoyed by anyone 40+ who used to enjoy maths at school.

In fact, I might just re-read it myself …

Buy it for:

Anyone studying A-Level Maths

That ‘difficult to buy for’ man in your life who likes puzzles, understanding the world around him and shows any interest in numbers and maths.

Buy it on Amazon:

“The Joy of X” Steven Strogatz

Posted in Puzzles | Comments closed

Pythagoras Day

Pythagoras Day 5 12 13Thursday 5th December 2013 – 5 12 13 – is a Pythagoras Day.

A Pythagorean triple is a set of 3 integers (whole numbers) a, b & c such that:

a2 + b2 = c2

Pythagorean triples can be used to create right angled triangles, like the one above.  You can’t just use any three integers to make a right angled triangle (if you don’t believe me try it: can you draw a right angled triangle with sides 5cm, 8cm & 10cm long), the three sides must be a Pythagorean Triple.

And the next Pythagoras day wont be along for a while – 15th August 2012 (15 8 27) to be precise.

Many thanks to Matt Parker @StandUpMaths for alerting me to this date.  I follow him on Twitter, you might like to, too.

You can find out more about Pythagorean Triples at Wikipedia (and elsewhere.)

Posted in dates, Numeracy | Tagged | Comments closed

Triangle Fractions

What fraction of the triangle is shaded in?What fraction of the triangle is shaded in?

Not an easy problem.  Its often easier to start with something simple and work from there. So, what fraction of these triangles are shaded in (click on each image to get a bigger view):

Triangle fractiontriangle fractionTriangle FractionTriangle FractionTriangle FractionTriangle FractionTriangle FractionTriangle Fraction

Perhaps you can use your answers to those above to help you solve the more difficult problem at the top of this blog post.

I’ve put them all together for you on a Triangle Fractions Worksheet and you can find the Triangle Fractions Answers

Another version of the same question,  Below is an image of all nine triangles (again, click on the image to enlarge it). There are two pairs of the triangles that have the same fraction shaded (each pair has a different amount shaded in, if that makes sense?!) Can you find the pairs? Can you convince someone else that you are right?

Triangle FractionsTeaching Tip: Have the image of all nine triangles projected onto your interactive whiteboard as the pupils enter the class room.  Let the discussion and debate begin!

 

Posted in Geometry, Puzzles, Teaching Tips, Uncategorized | Tagged , | Comments closed

What a day!

29 11 13 - a prime day29th November 2013 – 29 11 13 – What a day!

Its a prime day – all the numbers: 29 11 & 13 are prime

But also: 291113 is a prime number

And not only that, but if you write the date in the American format: month day year you get: 112913 which is also a prime number

Plus its the last prime day (when all the numbers e.g. 29 11 13 are prime numbers) until February 2017.  So enjoy it whilst you can!

Whatever you do on this Prime Day, have a great day.

Posted in dates | Tagged , | Comments closed

Maths Vandalism II

maths vandalismsource

Of course, maths teachers in no way condone vandalism, but I do like this!

More maths vandalism here

Posted in Uncategorized | Tagged | Comments closed