Inspiring Mathematical Activities for Gifted and Talented Pupils at Key Stage 3'

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Inspiring Mathematical Activities for Gifted and
Talented Pupils at Key Stage 3.
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Session 1 Objectives

• Consider what we mean by being gifted at maths
• Identify the characteristics of the pupils who
  are able in maths
• Consider strategies to support such pupils in the
  classroom

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Starter

• To the nearest whole number, 56 of a class of
  children were girls.
• What is the smallest number of pupils the class
  could contain?

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What are the characteristics that you have
noticed in your most able pupils?
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Gifted children are able to

• Grasp the formal structure of a problem
• Generalise from examples
• Sustain a chain of reasoning
• Use mathematical symbols
• Think flexibly
• Leave out intermediate steps in a logical
  argument
• Remember generalised mathematical relationships

Kennard, R (1996) Teaching Mathematically Able
Children
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Numbers taking A level Mathematics (in thousands)
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Providing for able pupils

• Enrichment applying skills and understanding to
  a wider range of problems and unfamiliar
  situations bringing together different strands
  of the subject
• Extension working in greater depth, with
  increasing complexity, subtlety or abstraction
• Acceleration increasing the pitch of learning
  objectives to those expected of older pupils or
  introducing objectives from later years

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Opening up a text book question
Work out 3735 - 1224
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Open questioning
Most topics can be opened up or extended by
asking questions like

• What would happen if ?
• Why is this true?
• When does this not work?
• Can you see another way of doing it?
• Can you make up some more questions like that?
• If the answer was what might the question have
  been?

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