Developing Number Sense and Early Number Concepts

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Developing Number Sense and Early Number Concepts

• EDN 322

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Number Sense

• A good intuition about numbers and their
  relationships. It develops gradually as a result
  of exploring numbers, visualizing them in a
  variety of contexts, and relating them in ways
  that are not limited by traditional algorithms
  (Howden, 1989).

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Number and Operations Standard Grades Pre-K-12

• Understand numbers, ways of representing numbers,
  relationships among numbers, and number systems
• Understand meanings of operations and how they
  relate to one another
• Compute fluently and make reasonable estimates

Principles and Standards for School Mathematics
National Council of Teachers of
Mathematics 2000
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Excerpts of Expectations from the Number and
Operations Standard Grades Pre-K-2

• Principles and Standards for School Mathematics
• National Council of Teachers of Mathematics
• 2000

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Excerpts of Expectations from the Number and
Operations Standard Grades Pre-K-2

• Principles and Standards for School Mathematics
• National Council of Teachers of Mathematics
• 2000

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Understand numbers, ways of representing numbers,
relationships among numbers, and number systems

• Count with understanding and recognize how many
  in sets of objects
• Develop understanding of the relative position
  and magnitude of whole numbers and of ordinal and
  cardinal numbers and their connections.
• Connect number words and numerals to the
  quantities they represent, using various physical
  models and representations

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The meanings for the number five suggested by
young children
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Prenumber Concepts

• Patterning
• Sorting
• Classifying

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Counting Principles

• One-to-one correspondence
• Stable order rule
• Order irrelevance rule
• Cardinality rule

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Counting Stages

• Rote Counting

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Counting Stages

• Rational Counting

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Counting Strategies

• Counting On
• Counting Back
• Skip Counting

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Relationships Among Numbers

• Spatial Relationships
• One and Two More, One and Two Less
• Number Benchmarks
• Part-part-whole Relationships

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Writing Numerals

• Start with very clear, very strong models.
• Focus on one number at a time.
• Provide maximum guidance at first.
• Be accepting of initial efforts.
• Gently reduce the amount of guidance.
• Reward correct performance.
• Review previously-learned material at regular
  intervals.