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About

Hi and thanks for looking. I’m Dave and I’ve been teaching maths since 2001 to students aged between 11 and 18.

This blog is to share ideas I create or find and to help reflect on my teaching and the learning of maths in general.

My favourite part of maths is statistics and I’m also fond of decision maths too.

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2 Comments
  1. Garrod Musto permalink

    Hi Dave I have just been pondering how best to describe the different types of mappings and which ones lead to functions to my C3 students. I hit upon a game of “fun”(ctions) musical chairs as a possible way forward and the students seemed to get it, so I thought I would share it with you.

    The number of chairs used = domain or input of a mapping
    The number of students playing = range or output of the mapping

    The game is only fun if all the students are happy ie.all students can sit down. ie the mapping is a function.

    Therefore a game where there are the same number of chairs and players (1-1 mapping) is a fun game because the players are all happy they have a chair so the mapping is fun(ction). Equally if there are more chairs than players (many chairs to one player) this will also result in all players having fun, hence many to 1 mapping is a function.

    However if there are more players than chairs, (one chair to many players) – at least one player will miss out and therefore not everyone will have fun. So this is not a fun mapping. Hence 1 – many mapping is not a function.

    Hope all is well with you.

    Garrod

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