Number Sense and Mental Mathematics Strategies

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Number Sense and Mental Mathematics Strategies
Focus Grades 3-5

• CAMT 2008 Dallas
• Dr. Dawn Parker
• Texas AM University

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Fun With Magic Squares

• Try the Magic Squares on your table while we
  wait to begin.

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Overview of Session

• Fun With Magic Squares
• Understanding Computational Fluency
• Mental Math Strategies / Activities
• Activities for Place Value Development
• Activities for Estimation

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Computational Fluency

• What does it mean to be
• computationally fluent?

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• Computational Fluency
• Automatic with fact recall
• Accurate with fact recall
• Applies multiple methods and strategies

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Steps to Computational Fluency

• Number Sense
• Place Value Development and Understanding
• Understanding of the Operations
• Computational Fluency

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Number Sense

• The awareness of the relationships between
  number, an ability to represent each number in
  several ways, knowledge of the effects of
  operations, and an ability to interpret and use
  numbers in the real world.
• Gradually develops as students explore numbers,
  visualize then in a variety of contexts, and
  relate them in ways other than the traditional
  algorithms.

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Think about.

• Number Sense
• Computation / Place Value Development
• Mental Calculation
• Estimation

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Calculate the Following Mentally

• 12 46 18 64
• 367 622
• 75 39
• 458 20
• 48 x 20
• 25 x 28 x 4

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Mental Math Strategies

• Perform operation in parts
• 57 38 57 30, then 27 8
• 42 x 12 (42 x 10) (42 x 2)
• Make an easier problem
• 72 47 (72 3) (47 3)
• Drop zeros as appropriate
• 62000 4000 62 4, then add 3 zeros

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Mental Math Activity

• In table groups, study the strategy given and
  review the examples provided. Discuss among
  group members how the strategy works, and create
  two new examples that follow the strategy. Be
  ready to discuss with the larger group.

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Activities for Place Value Development

• More and Less on Hundreds Chart
• Compatible Pairs
• Close, Far, and In Between
• What is in the Box?
• How many ways?

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Estimation Activities

• Over or Under
• Best Choice
• High or Low
• Thats Good Enough