Educational Studies in Mathematics

, Volume 1, Issue 4, pp 415–421 | Cite as

Games and relations

  • J. Bastier


These games are played by students in the ‘sixième’ (12–13 year-olds) with enthusiasm. Teacher and pupils can invent a rich variety of analogues. Some of the more involved ones require the perfecting of the methods used to discover the best strategies. With others our methods prove insufficient. From this point onwards it is easy to direct the students towards the properties of the relations, their classification, the composition of applications, the small algebras, thanks to the fact that they have implicitly met these concepts many times in these games.


Good Strategy Rich Variety Small Algebra 
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  1. 1.
    This is the usual convention.Google Scholar
  2. 2.
    The composition table of these transformations is that of a group isomorphic with the group of bijections of a set of three elements onto itself. Analogous methods generate many small groups (of 2, 3, 4, 6, 8 elements) from a system of generators, in different ways. To make game B more rigorous one should deal with the concepts of equivalence, and transformation (or application) in details.Google Scholar
  3. 3.
    The diagrams, which are somewhat involved, have been omitted (Translator).Google Scholar

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© D. Reidel 1969

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  • J. Bastier

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