Manipulatives

TypesOfRepresentations

Manipulatives are materials provided to learners that increase engagement and provide a concrete way for students to experience math concepts in a visual and hands-on way. Read more info and research on why using manipulatives is considered best practice in math instruction here. A visual glossary of the manipulatives can be accessed here.

“In order to develop every student’s mathematical proficiency, leaders and teachers must systematically integrate the use of concrete and virtual manipulatives into classroom instruction at all grade levels.” (NCSM, 2013)

Recommended Manipulatives for K-3

Dice                                                                Ten Frames                                        Playing Cards

Two-Sided Counters                                    Pattern Blocks                                   Loose Parts

Unifix Cubes                                                  Cuisenaire Rods                                Geo Boards

Rekenreks                                                      Base Ten Blocks                                3D solids and shapes

Scales                                                             

Recommended Manipulatives for 4-8

Colour Tiles                                                   Tangrams                                          Two-Sided Counters

Dice                                                                Algebra Tiles                                      Playing Cards

Base Ten Blocks                                           Pattern Blocks                                   Cuisenaire Rods

Class set of white board sleeves               Geo Boards (10x10)                         Loose Parts

Linking cubes                                                Pentominoes

Recommended Manipulatives for 9-12

Playing Cards

Dice

Algebra Tiles

Individual Whiteboards

Fraction Strips

Unit Circle Models

Measuring Instruments (tape measures, clinometers and protractors)

 

Virtual Manipulatives 

Virtual Manipulatives are great for demonstrating for group of students on a digital display:

Toy Theatre Manipulative Library

NCTM Illuminations Interactives

Polypad

Geogebra

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