Developing Number Sense and Early Number Concepts

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Developing Number Sense and Early Number Concepts . EDN 322. Number Sense.

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### Developing Number Sense and Early Number Concepts

EDN 322

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).

• 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

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
Prenumber Concepts
• Patterning
• Sorting
• Classifying
Counting Principles
• One-to-one correspondence
• Stable order rule
• Order irrelevance rule
• Cardinality rule
Counting Stages
• Rote Counting
Counting Stages
• Rational Counting
Counting Strategies
• Counting On
• Counting Back
• Skip Counting
Relationships Among Numbers
• Spatial Relationships
• One and Two More, One and Two Less
• Number Benchmarks
• Part-part-whole Relationships
Writing Numerals