Computational Fluency

1
Computational Fluency

• EDN 322

2
Prerequisites for Computational Fluency

• Facility with Counting
• Experience with a Variety of Concrete Situations
• Familiarity with Many Problem-Solving Contexts
• Experience in Using Language to Communicate
  Mathematical Ideas

3
Sequence for learning the four operations

• Concrete
• Semiconcrete
• Abstract

4
Models for Addition(Reys, p. 162)

• Joinings
• Comparison
• Part-Part-Whole

5
Models for Subtraction

• Separation, take away, or partition
• Comparison, or finding the difference
• Part-PartWhole / Inverse of Addition

6
Models for Multiplication (Reys, p. 164)

• Equal-groups or Sets / Repeated Addition
• Comparison
• Combinations or Cartesian Products
• Area and array

7
Models for Illustrating Division

• Measurement / Repeated Subtraction
• Partition

8
Other Physical Models

• Number Line
• Balance Beam