早期家庭计算活动和儿童三年级的象征性和非象征性数学技能:一项为期5年的纵向研究

During Piaget's concrete operational stage, from ages 7 to 11, children exhibit a marked increase in logical thinking skills, specifically in relation to tangible, real-world events. This stage is characterized by the development of several essential cognitive concepts, including conservation, reversibility, and classification, all of which support the child's evolving capacity for structured thought.
Conservation and Constancy of Quantity
A significant cognitive milestone in the...

The preoperational stage, the second of Jean Piaget's four stages of cognitive development, spans approximately ages 2 to 7 and is characterized by the emergence of symbolic thinking. During this stage, children use language, images, and symbols to represent objects and concepts, enabling them to engage in imaginative and pretend play. This symbolic thinking supports children's ability to perform make-believe actions, such as imagining a broom as a horse or their hand as a phone,...

The formal operational stage, as described in Piaget's cognitive development theory, begins around age 11 and extends into adulthood. It marks the emergence of advanced cognitive abilities that differentiate adolescent and adult thinking from those of younger children. This stage is characterized by abstract reasoning, hypothetical-deductive reasoning, and a more complex understanding of self and others.
Abstract Reasoning and Hypothetical-Deductive Thinking
Unlike the concrete operational...

Jean Piaget's theory of cognitive development emphasizes the role of thinking in a child's learning process, suggesting that children are naturally curious about their environment. His approach to development is discontinuous, proposing that cognitive abilities progress through distinct stages, each with unique characteristics. Central to Piaget's theory is schemata—mental structures that allow individuals to understand and interpret the world.
Schemata: Building Blocks of...