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).
Number and Operations Standard Grades Pre-K-12Understand 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
The meanings for the number five suggested by young children…
Prenumber Concepts
Patterning
Sorting
Classifying
Counting Principles
One-to-one correspondence
Stable order rule
Order irrelevance rule
Cardinality rule
Counting Stages
Rote Counting
Counting StagesRational 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
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.