**Fluency**

**Fluency** is established when—through carefully constructed experiences—students become fluent in the foundations of mathematics through varied and frequent practice with developmentally appropriate and increasingly complex tasks.

Fluency demands more of students than memorizing–students need to understand why they are doing what they are doing and know when to use different methods. As well as fluency of facts and procedures, students should be able to move confidently between contexts and representations, recognize relationships and make connections in mathematics.

Fluency is exhibited through efficiency, accuracy, and flexibility.

**Professional Resources**

##### Fluency without Fear

Jo Boaler, a leading mathematics educator discusses why we want our students to be fluent with number facts and how to achieve automaticity without memorization.

##### Developing Number Fluency the What, Why and How

This article outlines what fluency is and how students demonstrate this through efficiency, accuracy and flexibility.

##### What is Mathematical Fluency and How Does it Support Learning?

Leinwand, Fosnot, O’Connell, and Mark talk about how we define fluency and the role it plays in learning mathematics.

##### Fluency: Simply Fast and Accurate? I Think Not!

National Council for Teaching Mathematics discusses the importance of fluency over speed and memorization.

**Progression of Number Operations and Algorithms**

**Early Numbers and Counting**

GFlethcy Progression Video

**Progression of Division**

GFlethcy Progression Video

**Addition and Subtraction**

GFlethcy Progression Video

**Fractions: The Meaning, Equivalence and Comparison**

GFlethcy Progression Video

**Progression of Multiplication**

GFletchy Progression Video

**Number Fact Progressions**

**Classroom Resources**

##### Mathies Learning Tools

Free digital tools and APPs that can be used to support students through making meaningful representations to develop conceptual understanding.

##### Broken Calculator

This simple broken calculator app encourages students to make numbers in different ways using four operations. It promotes flexible, efficient and accurate thinking.

##### Mathsbot.com

Free digital tools and printables that can be used to support math teachers and students.

##### Mathies Games

Mathies games are a mix of digital and printable resources that promote mathematical fluency above rote practice or memorization.

##### Math Visuals

How do we represent math visually? This blog features short animations and representations to help students gain conceptual understanding of the big ideas in math

##### Math is Visual

How do you represent math concepts pictorially? Kyle Pearce shares animatations to conceptually explain math concepts.

##### Solvemoji

Solvemojis are puzzle involving all four operations. An engaging way for children to practice fluency skills but also requires kids to think, reasoning and communicate at a deeper level.

##### Splat! by Steve Wyborney

A VERY POWERFUL, highly interactive number sense strategy that can be used **at any grade level!**

##### Math Learning Centre

Free interactive manipulatives to share with your students.

##### Interactive Mathematics Glossary

An interactive online tool with definitions, examples, representations and virtual tools

##### Math Mashup

Youtube video channel with video lessons that show students and teachers excellent visual reprsentations