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Chutes and Ladders
A numerical board game that is useful for building early numerical knowledge.
Concrete operations stage
Piaget’s developmental stage (approximately ages 7–12) in which children can think logically about concrete situations but struggle with abstract or hypothetical reasoning.
Conservation problems
Piagetian tasks showing that changes in an object’s appearance do not change its quantity (e.g., volume, number, mass).
Continuous development
Development that occurs gradually and incrementally over time rather than in abrupt stages.
Depth perception
The ability to perceive the distance of objects in the environment.
Discontinuous development
Development that occurs in distinct stages with qualitative changes between stages.
Formal operations stage
Piaget’s stage beginning around age 12, characterized by the ability to think abstractly, logically, and scientifically.
Information processing theories
Approaches that focus on the cognitive processes underlying thinking at different ages and how these processes change over time.
Nature
Genetic influences that children bring with them that affect development.
Nurture
Environmental influences, beginning in the womb, that shape development.
Numerical magnitudes
The sizes or quantities that numbers represent.
Object permanence task
A Piagetian task demonstrating that infants under about 9 months fail to search for hidden objects, indicating a lack of object permanence.
Phonemic awareness
Awareness of the individual sounds (phonemes) that make up words.
Piaget’s theory
A theory proposing that cognitive development occurs through four discontinuous stages: sensorimotor, preoperational, concrete operational, and formal operational.
Preoperational reasoning stage
Piaget’s stage from about ages 2–7 in which children can use symbols and language but cannot yet perform logical operations.
Qualitative changes
Large, fundamental developmental changes, such as stage transitions.
Quantitative changes
Gradual, incremental developmental changes over time.
Sensorimotor stage
Piaget’s stage from birth to age 2 in which infants learn about the world through sensory experiences and motor actions and develop object permanence.
Sociocultural theories
Theories emphasizing how social interaction and cultural context influence cognitive development, associated with Lev Vygotsky.