Schemas: assimilation and accommodation
A schema is a mental box of knowledge about something, like 'dog' or 'ball'. Babies are born with a few simple schemas, like sucking and grasping.
- Assimilation: putting new information into an old schema. A toddler calls every four-legged animal 'dog'.
- Accommodation: changing a schema or making a new one when the old one does not fit. 'This one says meow. It is a cat.'
When new things do not fit, the child feels unbalanced (disequilibrium). Accommodation brings balance back (equilibrium). This push to find balance drives learning.
Piaget's four stages
- Sensorimotor (0–2 years): learns through senses and movement. Gains object permanence: knowing a hidden thing still exists.
- Pre-operational (2–7 years): uses language and pretend play. But is egocentric (sees only her own view) and cannot conserve.
- Concrete operational (7–11 years): can conserve and reverse actions in the mind. Thinks logically about real, touchable things.
- Formal operational (11+ years): can think about ideas that are not in front of her, like 'what if', and test hypotheses in her head.
Piaget said the order never changes, but ages are only rough.
Conservation and egocentrism studies
Conservation means knowing that the amount stays the same when its shape changes. In Piaget's water test, a child sees two equal glasses. Then one is poured into a tall thin glass. Pre-operational children say the tall glass has more. They look at only one feature, height (centration).
Egocentrism: in the three mountains task, a child sits on one side of a model and a doll on the other. Asked what the doll sees, young children pick their own view.
Evaluation: later researchers found that when tasks are made simpler and more natural (for example, a 'naughty teddy' changes the shape by accident, or a hide-from-the-policeman game), younger children often succeed. So Piaget may have underestimated young children. Many of his ideas came from watching a small number of children, including his own.
Using Piaget in education
- Readiness: teach ideas when the child's stage allows. Abstract algebra fits formal operational thinkers.
- Discovery learning: children learn best by doing and exploring, not only listening. The teacher sets up activities.
- Use real objects for younger children, like counters and blocks.
How learning shapes development
Dweck's mindset theory: with a fixed mindset, a child thinks ability is fixed ('I am not a maths person'). With a growth mindset, she thinks ability grows with effort ('I can't do it yet'). Growth mindset children take on harder tasks and keep going after failure.
Praise: praising effort and strategy ('you tried a new way') builds growth mindset. Praising only intelligence ('you are so clever') can make children avoid hard tasks.
Self-efficacy is your belief that you can do a particular task. It grows with success, seeing others like you succeed, and encouragement.
Learning styles: the idea that each person learns best as 'visual', 'auditory' or 'kinaesthetic'. It is popular, but tests find teaching to a 'style' does not improve results. Using many ways (pictures plus words plus doing) helps everyone.
Try it: the conservation test at home
With a younger brother, sister or cousin (aged 4–8), set out two equal rows of 6 coins. Ask 'same or different?'. Then spread one row out wider. Ask again. Note the age and the answer. Then try 'Age' buttons in the 3D free play.
Key formulas and definitions
- Key term: Schema = mental box of knowledge
- Key term: Assimilation = fit new into old schema; Accommodation = change schema
- Stages: Sensorimotor 0–2 → Pre-operational 2–7 → Concrete operational 7–11 → Formal operational 11+
- Key term: Conservation = amount stays same when shape changes
- Key term: Egocentrism = seeing the world only from your own view
- Key term: Growth mindset = ability can grow with effort; Self-efficacy = belief you can do a task
Worked examples
1. A 2-year-old sees a cow and shouts 'big dog!'. Later he learns it is a cow. Name both processes.
Calling it 'dog' is assimilation (new animal fitted into the dog schema). Learning 'cow' is accommodation (a new schema is made).
2. A child agrees two clay balls are equal. One is rolled into a sausage. She says the sausage has more clay. Which stage, and what can't she do?
Pre-operational stage. She cannot conserve: she focuses on length only and cannot mentally reverse the rolling.
3. A teacher writes 'You got 4/10. You tried a new method in Q5 — keep going!'. Which theory supports this?
Dweck's mindset theory: praising effort and strategy builds a growth mindset and self-efficacy.
Common mistakes
- Mixing up assimilation and accommodation. Accommodation = the schema itself changes.
- Thinking the ages are exact. Piaget's order is fixed, but ages are rough.
- Saying growth mindset means 'just try harder'. It also needs good strategies and help.
- Believing learning styles are proven. Evidence does not support matching teaching to one style.