Resources and web links
Taking it further
If you want to explore the subject further, you may find these books and websites useful.
Books
Teach Yourself Algebra
Abbott, P. & Neill, H. (2003)
Teach Yourself Calculus
Abbott, P. & Neill, H. (2003)
Teach Yourself Trigonometry
Abbott, P. & Neill, H. (2003)
Teach Yourself Statistics
Graham, Alan (2008)
A straightforward and accessible account of the big ideas of statistics with a minimum of hard mathematics.
Teach Yourself Mathematics
Johnson, T. and Neill, H. (2008)
Barrow, John D. (1993) Pi in the Sky: Counting, Thinking and Being, Penguin, London. An exploration of where maths comes from and how it is performed.
Eastaway, Rob & Wyndham, Jeremy (1998) Why Do Buses Come in Threes?, Robson Books, London. Practical uses for various mathematical topics, including probability, Venn Diagrams and prime numbers.
Eastaway, Rob & Wyndham, Jeremy (2002) How long is a piece of string?, Robson Books, London. Examples of mathematics in everyday life.
Eastaway, Rob & Wells, David (2005) Mindbenders and Brainteasers, Robson Books, London. A collection of 100 puzzles and conundrums, old and new.
Flannery, Sarah (2000) In Code: A Mathematical Journey, Profile Books, London. A collection of problems with solutions and explanations, based on the author’s experiences of growing up in a mathematical home.
Huntley, H.E. (1970) The Divine Proportion, Study in Mathematical Beauty, Dover, New York. Applications in art and nature of the ‘Golden Ratio’.
Ifrah, Georges (1998) The Universal History of Numbers, The Harvill Press, London. A detailed book (translated from French) about the history of numbers and counting from pre-history to the age of the computer.
Paulos, John Allen (1990) Innumeracy – Mathematical Illiteracy and its Consequences, Penguin, London. Real-world examples of innumeracy, including stock scams, risk perception and election statistics.
Pólya, G. (1990) How to Solve It, Penguin, London. A classic text on mathematical problem solving that is well-known around the world.
Potter, Lawrence (2006) Mathematics Minus Fear, Marion Boyars Publishers Ltd, London. A romp through school mathematics that takes in puzzles and gambling.
Singh, Simon (2000) The Code Book, Fourth Estate, London. A history of codes and ciphers and their modern applications in electronic security.
Singh, Simon (1998) Fermat’s Last Theorem, Fourth Estate, London. An account of Andrew Wiles’ proof of Fermat’s Last Theorem, but also outlining some problems that have interested mathematicians over many centuries.
Stewart, Ian (1996) From Here to Infinity, Oxford University Press, Oxford. An introduction to how mathematical ideas are developing today.
Stewart, Ian (1997) Does God Play Dice?, Penguin, London. An introduction to the theory and practice of chaos and fractals.
Stewart, Ian (2006) Letters to a Young Mathematician, Basic Books, New York. What the author wishes he knew about mathematics when he was a student.
Useful websites
- www.tsm-resources.com This website includes hundreds of useful resources. It is definitely worth exploring.
- www.atm.org.uk The Association of Teachers of Mathematics for mathematics educators, primary, secondary and higher. There are lots of excellent resources on this website.
- http://www.ncetm.org.uk/Default.aspx?page=22 It is definitely worth checking out the Mathemapedia on the NCETM’s website (The National Centre for Excellence in the Teaching of Mathematics).
- www.nrich.maths.org Thousands of free resources which are designed to develop subject knowledge and problem-solving skills.
- www.waldomaths.com There are some great ‘applets’ on this website. You will need to install Java to use them (if you don’t have Java already).
- www.alantgraham.me.uk This is the author’s personal website (still a work in progress!)
- www.mcs.surrey.ac.uk/Personal/R.Knott Have a look at the Fibonacci numbers.
- www.goldennumber.net This is a website dedicated to the golden ratio and the Fibonacci series.
