IMPORTANCE OF Learning by Doing

Through Learning by Doing  the child invents mathematical knowledge from her or his actions on objects, so direct, concrete experiences with many objects at the child’s developmental level are crucial to the formation of accurate concepts.  They construct their own knowledge of mathematics using concrete materials and natural situations . When students have opportunities to solve problems through doing, they develop multiple sensing pathways in the brain . If preschool children engage in a significant amount of mathematically related play. This mathematical play would include exploring patterns and shapes, comparing objects according to size, and developing a sense of number. As a child matures, mathematically related play becomes problem solving, and children solve problems by creating models and using those models to communicate their understanding.  if we could help children to build upon and extend the intuitive modeling skills that they apply to basic problems as young children, we would have accomplished a great deal by way of developing problem-solving abilities in children in the primary grades.  modeling provides a framework in problem solving .

The importance of building on prior mathematical understanding, and the essential fact that children learn mathematics primarily through “… doing, talking, reflecting, discussing, observing, investigating, listening, and reasoning”