Computational Fluency

Computational fluency develops from a strong sense of number.

How many different ways can you solve…? (eg. 16X7)

Virtual structures available for students to create deep connections and relationships between the big ideas of all operations:

ReimaginED Bead String is a marvelous counting or cardinal model to represent multiplicative reasoning and relationships to 100

The Open Numberline is a measurement model where students may represent strategies and computational thinking beyond 100

Partial Product Finder allows multiplication to 50 X 50 to be represented as a rectangle, or array, with dimensions that match the quantity. This helps students develop the flexibility and conceptual understanding required to build fluency with basic facts and strategies for multiplication of larger numbers.

Resources & Links

Building Accuracy, Fluency & Efficient Strategies:

Multiplication by Heart – Mathigon in partnership with Math for Love

Steve Wyborney Multiplication Course

Math Flips – Berkeley Everett cards available through Print Shop mathisvisual

Making Number Talks Matter: Developing Mathematical Practices and Deepening Understanding, Grades 3-10: Humphreys, Cathy, Parker, Ruth, Humphreys, Cathy, Parker, Ruth: Books Digging Deeper: Making Number Talks Matter Even More, Grades 3-10: Parker, Ruth, Humphreys, Cathy, Parker, Ruth, Humphreys, Cathy: Books

Teaching Mathematical Thinking: Tasks and Questions to Strengthen Practices and Processes