Developing Numerical Fluency

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Developing Numerical Fluency
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Goals Purposes

• Increase teacher knowledge regarding the
  refinements of the TEKS relating to the
  Development of Numerical Fluency.
• Increase teacher knowledge of composing and
  decomposing numbers.
• Increase teacher knowledge of developmental
  stages of numerical fluency.
• Develop an understanding of the use of
  metacognition in problem solving.

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Tanya is building a staircase in the pattern
shown. The blocks are 1-inch cubes. She wants
the last step to be 10 inches tall. How many
cubes does she need in order to build the
staircase?
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Write down your thought processes as you solve
the following problem.
Explain how you derived your answer(s)?
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Let us come back together and share solutions and
strategies with groups.
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TEKS

• Each group will be assigned a grade level.
• Identify the TEKS in your grade level (K-5) that
  students must master in order to have success in
  solving this 5th grade problem.
• Are there any refinements that need to be
  identified? Add refined TEKS needed to teach this
  concept to the TEKS Refinement Wall.

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Numerical Sequences

• Children struggle with patterns like the
  following
• Arithmetic sequences
• Geometric sequences
• Figurate Numbers
• Composing and Decomposing
• Numerical Patterns

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Subitizing
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Foundations of Numerical Fluency

• Group 1 - One-to-one Correspondence
• Group 2 - Inclusion of Set
• Group 3 - Counting On/Counting Down
• Group 4 - More Than/Less Than/Equal To
• Group 5 - Part/Part/Whole
• Group 6 - Unitizing

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Reflection

• What concepts did you struggle with?
• What concepts do your students struggle with?
• What actions will you take to help students
  develop the foundations of patterns?
• Should these strategies be taught in a particular
  sequence? Explain why or why not.
• If you are teaching older students who have not
  developed these strategies, how can you schedule
  your instruction to include remediation of these
  concepts?

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BREAK
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