They can be found in most classrooms – baskets of cubes,
tangrams, counters, and blocks. These
are math manipulatives and they have received much acclaim as one of the most
effective ways to introduce mathematics to young children. They are often used to assist in the
learning of the concepts of problem solving, reasoning, counting, and the skill of geometry. Much in the same way that a city map helps an
adult to become familiar with a new town, manipulatives help young children to
become accustomed to mathematical theories and reasoning. This introduction makes formal mathematical
lessons in the future more familiar and easier to grasp.
The physical interaction with manipulatives is advantageous
to children in a variety of ways. As an architect constructs models to search for solutions, children use
manipulative materials to solve problems.
This physical evidence of a solution not only fosters problem
resolution, but also makes the lesson more memorable because there is a visual
representation to go along with it. This
teaches abstract reasoning and encourages independent thinking, raising a
child’s confidence level. This form of three-dimensional teaching can be used in children of all ages. Young children can learn counting with the
use of blocks and shapes while older school age children can use them to learn
more complex concepts.

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