The Mathematics Curriculum: Counting and Configurations
This Mathematics Curriculum book, first published in 1978, examines 'combinatorics', a new term at the time that needed definition. Two aspects were considered, the first being permutations and combinations and the second being a possible set-up (or configuration) and asking if examples of such configurations exist and what they could look like. There is then a detailed look at probability, graph theory as a network and also some topics for classroom investigation.
The investigations suggested are:
The Platonic solids
Dominoes and notched triangles
Fixture lists
Dividing a circle into regions by chords
Networks in geography
Chemical molecules
A sheepish problem
Economical rulers
Black and white pavings and codes
Triangular football and speedway
Tournaments
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