HOPEACADEMY
HED4813
ASSESSMENT 03
Closing date: 30 August 2026, 11:00 PM
2026
Question 1
Critically discuss how Jean Piaget’s stages of cognitive development—sensorimotor,
preoperational, concrete operational, and formal operational—affect a child’s learning
experience, with a particular focus on mathematics education.
In your essay, you should:
1. Explain each stage of Piaget’s cognitive development theory, including the agerange and
key characteristics.
2. Analyze how each stage influences a child’s ability to understand and engage with
mathematical concepts.
3. Provide practical examples of teaching strategies or classroom activities that
0 7 6 4 0 3 1 2 2 9
, HED4813 ASSESSMENT 03/ 2026
Closing date: 30 August 2026, 11:00 PM
Question 1
Critically discuss how Jean Piaget’s stages of cognitive development—
sensorimotor, preoperational, concrete operational, and formal operational—
affect a child’s learning experience, with a particular focus on mathematics
education.
Jean Piaget’s theory of cognitive development explains how children move through four
stages of thinking. Each stage has unique characteristics that affect how learners
understand mathematics. By recognising these stages, teachers can design lessons that
match learners’ abilities and promote deeper learning.
Sensorimotor Stage (Birth–2 years)
During the sensorimotor stage, infants explore the world through their senses and
physical actions. Piaget (1952) explained that this stage is marked by the development
of object permanence, which means children begin to understand that objects continue
to exist even when they cannot be seen. This discovery is the foundation for later
mathematical thinking because it introduces the idea of permanence and continuity.
In terms of mathematics, children at this stage are not yet ready for formal instruction,
but they begin to grasp simple concepts such as “more” and “less” through everyday
play. For example, when a child notices that one pile of blocks is bigger than another,
they are informally engaging with quantity comparison. Ojose (2008) notes that these
early experiences build the groundwork for number sense, which is essential in later
stages.
Teaching strategies should therefore focus on play‑based learning. Activities such as
stacking cups, sorting toys by colour or size, and filling and emptying containers help
children explore relationships of size, shape, and quantity. In the South African CAPS
curriculum, Grade R classrooms emphasise such tactile and exploratory activities,
ensuring learners are prepared for formal mathematics in Grade 1. By using locally
HED4813
ASSESSMENT 03
Closing date: 30 August 2026, 11:00 PM
2026
Question 1
Critically discuss how Jean Piaget’s stages of cognitive development—sensorimotor,
preoperational, concrete operational, and formal operational—affect a child’s learning
experience, with a particular focus on mathematics education.
In your essay, you should:
1. Explain each stage of Piaget’s cognitive development theory, including the agerange and
key characteristics.
2. Analyze how each stage influences a child’s ability to understand and engage with
mathematical concepts.
3. Provide practical examples of teaching strategies or classroom activities that
0 7 6 4 0 3 1 2 2 9
, HED4813 ASSESSMENT 03/ 2026
Closing date: 30 August 2026, 11:00 PM
Question 1
Critically discuss how Jean Piaget’s stages of cognitive development—
sensorimotor, preoperational, concrete operational, and formal operational—
affect a child’s learning experience, with a particular focus on mathematics
education.
Jean Piaget’s theory of cognitive development explains how children move through four
stages of thinking. Each stage has unique characteristics that affect how learners
understand mathematics. By recognising these stages, teachers can design lessons that
match learners’ abilities and promote deeper learning.
Sensorimotor Stage (Birth–2 years)
During the sensorimotor stage, infants explore the world through their senses and
physical actions. Piaget (1952) explained that this stage is marked by the development
of object permanence, which means children begin to understand that objects continue
to exist even when they cannot be seen. This discovery is the foundation for later
mathematical thinking because it introduces the idea of permanence and continuity.
In terms of mathematics, children at this stage are not yet ready for formal instruction,
but they begin to grasp simple concepts such as “more” and “less” through everyday
play. For example, when a child notices that one pile of blocks is bigger than another,
they are informally engaging with quantity comparison. Ojose (2008) notes that these
early experiences build the groundwork for number sense, which is essential in later
stages.
Teaching strategies should therefore focus on play‑based learning. Activities such as
stacking cups, sorting toys by colour or size, and filling and emptying containers help
children explore relationships of size, shape, and quantity. In the South African CAPS
curriculum, Grade R classrooms emphasise such tactile and exploratory activities,
ensuring learners are prepared for formal mathematics in Grade 1. By using locally
