, HED4813 ASSIGNMENT 3 2026
DUE DATE: 31 AUGUST 2026
QUESTION 1
Jean Piaget’s Stages of Cognitive Development and Their Influence on
Mathematics Education
Introduction
Jean Piaget’s theory of cognitive development is one of the most influential theories for
understanding how children acquire knowledge and develop their thinking abilities.
Piaget viewed children as active participants in their own learning rather than passive
recipients of information. According to his constructivist perspective, children build
knowledge through interaction with their environment and gradually develop
increasingly sophisticated ways of thinking (Piaget, 1952). Cognitive development occurs
through four major stages: the sensorimotor stage, the preoperational stage, the
concrete operational stage and the formal operational stage. Each stage represents a
different form of reasoning and has important implications for teaching and learning.
Piaget’s theory is particularly relevant to mathematics education because mathematical
learning requires children to develop concepts such as number, quantity, classification,
measurement, logical relationships and, eventually, abstract reasoning. The theory
suggests that mathematical instruction should correspond with learners’ cognitive
abilities and should provide opportunities for them to explore, manipulate and reason
about mathematical ideas. However, Piaget’s stages should not be treated as rigid age-
based categories because individual development varies and children may demonstrate
more advanced thinking in some situations than others (Lourenço and Machado, 1996).
DUE DATE: 31 AUGUST 2026
QUESTION 1
Jean Piaget’s Stages of Cognitive Development and Their Influence on
Mathematics Education
Introduction
Jean Piaget’s theory of cognitive development is one of the most influential theories for
understanding how children acquire knowledge and develop their thinking abilities.
Piaget viewed children as active participants in their own learning rather than passive
recipients of information. According to his constructivist perspective, children build
knowledge through interaction with their environment and gradually develop
increasingly sophisticated ways of thinking (Piaget, 1952). Cognitive development occurs
through four major stages: the sensorimotor stage, the preoperational stage, the
concrete operational stage and the formal operational stage. Each stage represents a
different form of reasoning and has important implications for teaching and learning.
Piaget’s theory is particularly relevant to mathematics education because mathematical
learning requires children to develop concepts such as number, quantity, classification,
measurement, logical relationships and, eventually, abstract reasoning. The theory
suggests that mathematical instruction should correspond with learners’ cognitive
abilities and should provide opportunities for them to explore, manipulate and reason
about mathematical ideas. However, Piaget’s stages should not be treated as rigid age-
based categories because individual development varies and children may demonstrate
more advanced thinking in some situations than others (Lourenço and Machado, 1996).
