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Figuring Out Fluency in Mathematics Teaching and Learning, Grades K-8: Moving Beyond Basic Facts and Memorization

by Jennifer M. Bay-Williams and John J. SanGiovanni

Student Resources

  • Chapter 1
  • Chapter 3
  • Chapter 4
  • Chapter 5
  • Chapter 6
  • Chapter 7
  • Chapter 8
  • Chapter 9

Chapter 7

  • Figure 7.2 Reference Page of Reasoning Strategies and Automaticities [PDF]
  • Figure 7.3 Fluency Checklists [PDF]
  • Figure 7.6 Four-Point Fluency Rubric [PDF]
  • Figure 7.8 Observation Tool [Word]
  • Figure 7.8 Observation Tool [PDF]
  • Figure 7.9 Subtraction Strategy Observation Tool [Word]
  • Figure 7.9 Subtraction Strategy Observation Tool [PDF]
  • Figure 7.10 Interview Protocol [PDFs: blank and example showing interview protocol to assess doubling strategy for multiplication facts] 
  • Activity 7.2 Journal Writing Prompts for Fluency [PDF] 
  • Figure 7.13 Strategy Problem Sort Placemat [PDFs]  
  • Figure 7.13 Sorting My Thinking - Metacognitive Sort Placemat [PDFs: blank and example showing bowls for multiplying a two-digit by a one-digit]

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