Visual Representations

Visual representations help to develop a deeper conceptual understanding of mathematical ideas.  Using various concrete and pictorial strategies can support students in developing a deep and meaningful understanding of mathematical ideas.  This makes learning more accessible to all students and allows them to make connections to more abstract representations of the concepts. Below you'll find resources to build your practice including tips for manipulative use, instructional supports, and some best practice ideas for managing concrete manipulatives and supporting your students. 

Multiplication Continuum

My Math Path employs the Concrete, Pictorial, Abstract Cycle (CPA) to teach new concepts. This multiplication continuum resource focuses on the learning of multiplication across different grade levels (2-10). Each step begins with concrete and pictorial representations before advancing to abstract representations. Whenever new components or complexities, such as decimals or mixed numbers, are introduced, the CPA cycle is revisited to reinforce understanding.

Algebra Tiles

Base Ten Blocks

Connecting Cubes

Five and Ten Frames

Geo-Boards

Rekenrek

Two-Colour Counters