Number Sense and Counting

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Number Sense and Counting

• EDN 322

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Number Sense

• An intuitive feel for numbers and their
  various uses and interpretations. Also includes
  the ability to compute accurately and
  efficiently, to detect errors, and to recognize
  results as reasonable.

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Helping students develop number sense requires

• Appropriate modeling
• Posing process questions
• Encouraging thinking about numbers
• Creating a classroom environment that nurtures
  number sense

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Group Recognition

• It saves time.
• It is the forerunner of some powerful number
  ideas. Children who can name small groups give
  evidence of knowing early order relations, such
  as 3 is more than 2.

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Group Recognition

• It helps develop more sophisticated counting
  skills.
• It accelerates the development of addition and
  subtraction.

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Counting Principles

• Each object to be counted must be assigned one
  and only one number name.
• The number-name list must be used in a fixed
  order every time a group of objects is counted.
  (Stable Order Rule)

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Counting Principles

• The order in which the objects are counted
  doesnt matter. (Order irrelevance)
• The last number name used gives the number of
  objects. This principle is a statement of the
  cardinality rule, which connects counting with
  how many.

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Counting Stages

• Rote Counting A child using rote counting knows
  some number names, but not necessarily the proper
  sequence. (p. 119) Rote counters may not have
  mastered all four counting principles.
• Rational Counting The child gives a correct
  number name as objects are counted in succession.
  Rational counters exhibit all four counting
  principles.

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Counting Strategies

• Counting On The child gives correct number
  names as counting proceeds and can start at any
  number and begin counting.
• Counting Back Giving the correct number names
  counting backward from a particular point.

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Counting Strategies

• Skip Counting The child gives correct names,
  but instead of counting by ones, counts by twos,
  fives, tens, or other values.