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Computational Fluency

Computational Fluency. What is Computational Fluency?. Adding It Up The National Academies Press. “Procedural Fluency- -skill in carrying out procedures flexibly, accurately, efficiently, and appropriately.”. Priorities in Mathematics. Key Fluencies. Key Fluencies (6-8). Fourth Grade.

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Computational Fluency

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  1. Computational Fluency

  2. What is Computational Fluency?

  3. Adding It Up The National Academies Press “Procedural Fluency- -skill in carrying out procedures flexibly, accurately, efficiently, and appropriately.”

  4. Priorities in Mathematics

  5. Key Fluencies

  6. Key Fluencies (6-8)

  7. Fourth Grade • M.4.OA.4 fluently add and subtract multi-digit whole numbers using the standard algorithm.

  8. Developing Fluency • Help children develop a strong understanding of number relationships within the operations. • Develop efficient strategies for fact retrieval through practice. • Then provide drill in the use and selection of those strategies once they have been developed. John A. Van de Walle & LouAnn H. Lovin

  9. From Memory ≠ Memorize M.2.OA.2 fluently add and subtract within 20 using mental strategies and by end of Grade 2, know from memory all sums of two one-digit numbers. M.3.OA.7 fluently multiply and divide within 100, using strategies such as the relationship between multiplication and division (e.g., knowing that 8 × 5 = 40, one knows 40 ÷ 5 = 8) or properties of operations and by the end of Grade 3, know from memory all products of two one-digit numbers.

  10. Fifth Grade • M.5.NBT.5 fluently multiply multi-digit whole numbers using the standard algorithm.

  11. Number Talks http://books.google.com/books?id=p4B9F1u2T4kC&printsec=frontcover&dq=number+talks&hl=en&sa=X&ei=6EPXT_v4Nsbx0gGsx8CkAw&ved=0CDUQ6AEwAA#v=onepage&q=number%20talks&f=false

  12. Number Talks • Number talks are short conversations centered around purposefully crafted computation problems.

  13. Strategies

  14. Key Components Number Talks • Classroom environment and community • Classroom discussions • The teacher’s role • The role of mental math • Purposeful computation problems

  15. Classroom Environment Quiet Thumbs Up Me Too Strategy—Quiet Thumbs Up Me Too!

  16. Number Talks in Action • Select several problems for the participants complete as a number talk.

  17. Create Number Talks • Create Number Talks for the first week of school. • Practice with a partner.

  18. Teaching Basic Facts What to do--- WhatNOTto do--- Don’t use lengthy timed tests Don’t use public comparisons of mastery Don’t proceed through all facts all at once Don’t move to memorization to soon Don’t use facts as a barrier to good mathematics Don’t use fact mastery as a prerequisite for calculator use • Ask students to self-monitor • Focus on self-improvement • Drill in short time segments • Work on facts over time • Involve families • Make drill enjoyable • Use technology • Emphasize the importance of quick recall of facts

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