Some maths lessons to try.
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The aim of this Mathematical Digest site is to give teachers and students access to interesting and useful mathematics, project material, challenges, mathematical applications, and teaching tips! It will also give students and parents mathematical challenges!
The material on the Mathematical Digest site is written by Bill Ellwood, retd Head of Mathematics at Burnside High School in Christchurch, New Zealand.
Bill has just completed 43 years of teaching mathematics to high school students. He specializes in teaching to high ability, gifted and talented students.
All the material on this site has been used in his classes and is the culmination of his many years of teaching.
During his career Bill has won several awards. He won a Wolf Fisher Fellowship in 1987 and in 2005 the Jim Campbell award for teaching excellence. He is also a Life member of the New Zealand Association of Mathematics Teachers.
In 2006 and 2007, Bill wrote the material for the New Zealand Maths Week which was accessed by over 250000 students.
Bill Ellwood has written six Mathematics Text books and 42 Mathematical Digests.
Text books in which Bill has co-authored are
published by Pearson Longman 2003.
For Year 10 or 14 yrs old students who dislike maths or find the subject difficult.
Yes! Mathematics Homework
published by Pearson Longman 2004.
Maths homework for Year 10 or 14 yrs old students who dislike maths or find the subject difficult.
It's a Mathematical World Book 1
published by Longman Paul 1982. Twelve printings. For Year 9 or 13yr old students. Still in use and popular!
It's a Mathematical World Book 2
published by Longman Paul 1993. Ten printings. For Year 10 or 14yr old students. Still in use and popular!
It's a Mathematical World Book 3
published by Longman Paul 1991. Ten printings. For Year 11 or 15yr old students. Still in use and popular!
Form 5 Mathematics published by Ilam Publications 1975. For Year 11 or 15yr old students.
42 Mathematical Digests published between 1987 and 2003.
Bill welcomes comment on
March 11th, 2008.
Some unusual Maths lessons to try.
further details of each lesson are in the member's section.
The Golden Ratio.
a series of 4 lessons involving calculations, measuring faces,
playingwith numbers, climbing staircases, video of "Face", . video of Donald in Mathemagic Land.
The Bridges of Koenigsberg.
This is one of the most famous problems of mathematics.
map of Koenigsburg 1730.
Your task is to walk around the town and cross every bridge only
once and finish back where you started without getting your feet wet.
A path is a walk over all the bridges.
A circuit is a path that finishes where it started.
map of Koenigsberg 19th Century.
Another bridge has been added. Your task is still the same.
map of Koenigsberg early 20th Century.
A rail bridge has been built. Can you do the task now? Why?
map of Kaliningrad 1950.
One bridge was destroyed in the second World War.
Where would you build the next bridge?
map of Kaliningrad 2000.
What is the situation now?
Where is Kaliningrad?
Find another city with bridges, a river and an island.
Test this city for paths and circuits.
Who was the famous mathematician involved with solving the
What branch of mathematics did the problem lead to?
What is a prime number?
"A natural number divisible by 1 and itself." 2 is prime, 1 isn't.
Division rules for numbers such as 2, 3, 4, 5, 6, 8, 9, 10, ...
Class to list all the primes between 1 and 100.
Which years are prime? When is the next prime year?
Mersenne numbers and which of these are prime.
Large Mersenne primes. www.mersenneprimes.com
The largest prime number so far discovered - Nov 17th 2003 !
What use are primes? Mathematical Digest number109 Page5
Twin primes, snowball primes, emirps,...
The last digit of the largest prime! What is it?
Approximations and Estimating.
Lattitude and longitude.
The poem codes as used by British agents in occupied
France during the Second World War.