However, children remain to only see problems from a single focus and are found to be egocentric in the sense of taking other people’s points of view and feelings into consideration. The concrete operational stage (7-11 years) is the development of a child’s understanding in relation to other’s points of view and the child’s ability to see multiple aspects of a problem, referred to as decentration (Halpenny and Petterson, 2013, p124). The final stage of cognitive development described by Piaget is the formal operational stage (12+ years) within this stage children no longer rely on concrete objects and can think hypothetically. This transition allows significant progression in maths to take place as abstract symbols are fully understood and children can reach a hypothesis so can later relate maths to real-life situations instead of needing concrete
However, children remain to only see problems from a single focus and are found to be egocentric in the sense of taking other people’s points of view and feelings into consideration. The concrete operational stage (7-11 years) is the development of a child’s understanding in relation to other’s points of view and the child’s ability to see multiple aspects of a problem, referred to as decentration (Halpenny and Petterson, 2013, p124). The final stage of cognitive development described by Piaget is the formal operational stage (12+ years) within this stage children no longer rely on concrete objects and can think hypothetically. This transition allows significant progression in maths to take place as abstract symbols are fully understood and children can reach a hypothesis so can later relate maths to real-life situations instead of needing concrete