ABSTRACT
Mathematical manipulatives are physical or virtual tools to help make students visualize mathematical relationships and make abstract relationships more concrete. They are tools for all students, and teachers should embed them in regular instruction to make them accessible and reduce the stigma connected with their use. This chapter explores several common manipulatives for the secondary math classroom by describing their common uses along with sample problems and illustrations. Effective practices for using manipulatives with students are explored. Teachers should introduce each manipulative, provide intentional practice, and monitor student use. Manipulatives will help students develop math concepts, transitioning through the developmental progression from concrete to representational to abstract.
