Using tree diagrams to develop combinatorial reasoning of children and adults in early schooling

Overview & Synopsis

Combinatorial reasoning is very important in mathematical development, providing students with contact with essential problem solving. One form of symbolic representation of combinatorial situations is a tree diagram. Two experimental studies were designed and implemented, the first with adults in initial schooling and the second with Elementary School children. Comparisons were performed in order to observe the impact that the use of tree diagrams – virtual or built with pencil and paper – had on combinatorial reasoning. From initial poor performance, both children and adults in initial schooling benefitted from instruction by use of tree diagrams that enabled them to perceive how elements can be combined in a systematic manner and helped them develop their combinatorial reasoning.