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Principles and Standards for School Mathematics states, “Computational fluency refers to having efficient and accurate methods for computing. Students exhibit computational fluency when they demonstrate flexibility in the computational methods they choose,understand and can explain these methods, and produce accurate answers efficiently. The computational methods that a student uses should be based on mathematical ideas that the student understands well, including the structure of the base-ten number system, properties of multiplication and division, and number relationships”
Principles and Standards for School Mathematics states, “Computational fluency refers to having efficient and accurate methods for computing. Students exhibit computational fluency when they demonstrate flexibility in the computational methods they choose,understand and can explain these methods, and produce accurate answers efficiently. The computational methods that a student uses should be based on mathematical ideas that the student understands well, including the structure of the base-ten number system, properties of multiplication and division, and number relationships”
Flexibility
Flexibility
Students are comfortable thikning about a problem in more than one way and can build connections and relationships between facts. Example: 8 x 6 is the same as 4 x6 doubled. (CRA model & ORIGO thinking strategies are tools that can help)
Understanding
Understanding
Students should be able to explain their methods that they use and why they work.
Efficiency & Accuracy
Efficiency & Accuracy
Students are able to choose a strategy and implement it quickly, to arrive at the correct answer.
Fluency is built by activities and experience
Fluency is built by activities and experience
Fluency takes time and, when based on conceputal understanding, rather that rote memorization, requires the integration of ideas.
Fluency cannot be developed in a single day, during a single lesson, or with a single speed test.
There is no "one and done" when teaching numerical fluency.
Number Sense Routines
Number Sense Routines
Can help students use explanation to develop understanding of numbers and operations. They usually rely on mental math and therfore encourage students to visualize and verbalize realtionships between numbers. Click The picture above for number routines.
Games & Activites
Games & Activites
Math games are one of the most effective froms of practice for developing numerical fluency. They offer children the oppurtunity to understand why fluency, strategy, and understanding are important. They provide context and sllow children firsthand how operations work. Click the picture above for games.
Problem-Solving Activites
Problem-Solving Activites
Encourages students to be curious, find multiple solutions, and look for patterns. Involves students in higher-level thinking, greater engagement, and often, greater learning. Click the picture above for problem sovling ideas.
The Progression of Fluency & Fluency Standards
The Progression of Fluency & Fluency Standards
Early Number Sense
Early Number Sense
It All Begins with Parts and Wholes
It All Begins with Parts and Wholes
Ways to Measure Fluency
Ways to Measure Fluency
Fluency can be assessed one on one with a student and teacher conference. Ask you students to solve math problems and observe how they solve the problems.
If giving a paper and pencil test, it is important to do an item analysis of a fluency test to see why students got the problems wrong.
Below you will find different assessments
Fluency Products in your Building
Fluency Products in your Building
Want to learn more?
Want to learn more?
Fluency-Without-Fear-1.28.15.pdfBuilding Elementary Math Fluency Starter Kit.pdf
3 keys to building fluency webinar recording.webm3 keys to building fluency webinar (2.5 hours long)
MidSchool 2019 Fluency Presentation.pdfPlace-Value_Concepts_508.pdfPage updated
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