101 Mathematical Projects by Brian Bolt, David Hobbs

By Brian Bolt, David Hobbs

This publication for academics indicates tasks which cater for a variety of options and talents, and hyperlinks with different curriculum matters.

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How many squares can be found using a corner square? What strategy can be used to win this game? 5 Commercial two- and threedimensional versions A variety of commercial versions of noughts and crosses are marketed. 'Connect Four' is a two-dimensional version while 'Four Fours' and 'Space Lines' are three-dimensional versions which are interesting to analyse. See, for example, Bolt, EMMA, activities 1 and 17. 6 Structurally identical games There are a family of games which appear quite different from noughts and crosses, but which are structurally identical.

Botermans, Creative Puzzles of the World (Cassell) W. S. Andrews, Magic Squares and Cubes (Dover) W. W. Rouse Ball, Mathematical Recreations and Essays (Macmillan) H. E. Dudeney, Amusements in Mathematics (Dover) 21 • Tangrams Tangrams are moving piece or dissection puzzles of ancient Chinese origin which first became popular in Europe and America in the early nineteenth century and have remained popular ever since. An investigation into the various tangrams and the shapes made from them could be the basis of an enjoyable and creative geometric project.

Daish, The Physics of Ball Games (English Universities Press) Measurement 29 "1 "1 • Jumping potential The standing broad jump Measure from take-off line -• It can take many years to develop a good high jump or long jump technique, but it is possible to do a simple experiment to test a person's spring and go some way to predicting their potential. The idea of this project is to test the springs of a group of people and then to see how well the results correlate with their abilities in different jumping events.

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