Comparing Theories of Mathematical Development

Piaget developed the theory of stage development; he had based his theories on his children by carrying out detailed observations where he came up with four stages in each process. But he believed a child had to be at a certain age to learn something or they simply couldn’t learn it or know it. I believe he underestimated children’s abilities and knowledge. The first stage was called sensorimotor stage- in this stage children learnt through using their 5 senses, touch, taste, smell, seeing and hearing. He believe they understood that the

Piaget’s theory of cognitive development helps us to understand the developmental stages of a child from birth to 7 years of age. According to Jean Piaget,

Piaget claimed that children were in charge of the construction or the building of their own knowledge and that construction was superior to instruction (Gordon and Browne, 2004). Piaget thought that educators should provide a stimulating environment and have the children explore. Teachers should watch and also interact with the children, but they should let the children find and experience new ideas and knowledge on their own. (Crain, 2005)One of Piaget's major contributions is what is known as the general periods of development. He found four major general periods or stages of child development (Crain, 2005, p. 115): Sensorimotor Intelligence (birth to two years). Babies organize their physical action schemes, such as sucking, grasping, and hitting. Preoperational Thought (two to seven years). Children learn to think but their thinking is illogical and different from that of adults. Concrete Operations (seven to eleven years). Children develop the capacity to think systematically, but only when they can refer to concrete objects and activities. Formal Operations (eleven to adulthood). Young people

Psychologist Jean Piaget developed the Piaget’s theory around the late 1920’s and early 1930’s. Piaget’s theory implies that cognitive growth advances in different stages, influenced by an instinctive need to know basis. The four stages of Piaget’s theory are, sensorimotor (birth to about two years old), preoperational (average two to seven years old), concrete operational (seven to eleven years old), and formal operational stage (eleven to undetermined years old).

Jean Piaget is a developmental psychologist who studied young children and analyzed their development at a young age. Piaget is well known for his four cognitive development stages: sensorimotor, preoperational, concrete, and formal operations; as mentioned by Siegler and Alibali (2004). Siegler and Alibali (2004) also stated that these four stages begin as soon as the child is born and it continues throughout their young adolescent years all the way to adulthood. Piaget conducted numerous research experiments towards young children in order to prove his hypothesis and drew conclusions for

By studying the cognitive development of children and adolescents, Piaget identified four major stages of mental growth which are sensorimotor, pre-operational, concrete, and formal operational. He believed that all children pass through these phases to advance to the next level of cognitive development and in each stage children demonstrate new intellectual abilities and increasingly complex understanding of the world (Zhou & Brown, 2015). He also believes that no stages can be skipped and that the intellectual development always follows the sequence.

Anghileri, J. (2006). Children's mathematical thinking in the primary years perspectives on children's learning (Repr. 2006. ed.). London: Continuum.

At the centre of Piaget's theory is the principle that cognitive development occurs in a series of four distinct, universal stages, each characterized by increasingly sophisticated and

Jean Piaget is one of the pioneers to child development, he was an important factor in the growth, development and one of the most exciting research theorists in child development. A major force in child psychology, he studied both thought processes and how they change with age. He believed that children think in fundamentally different ways from adults.. Piaget’s belief is that all species inherit the basic tendency to organize their lives and adapt to the world that’s around them, no matter the age. Children develop schemas as a general way of thinking or interacting with ideas and objects in the environment. Children create and develop new schemas as they grow and experience new things. Piaget has identified four major stages of cognitive development which are: sensorimotor stage, preoperational stage, concrete operations, and formal operations. According to the text here are brief descriptions of each of Piaget’s stages:

Jean Piaget was a biologist in the 1900s who studied the development of children's understanding. He believed that children didn't just gather information and add on it as they got older. Instead, he suggested that intelligence develops and progresses as one gets older through a series of four stages; the sensorimotor, preoperational, concrete operational and formal operational stage. The sensorimotor stage begins from birth until the age of 2, during this stage knowledge is limited, an infant tends to use motor activity without the use of symbols. They spend this time experimenting constantly, For example, putting things in the

Jean Piaget’s theory of cognitive development is one the most widely accepted, his four stages of development are age based.

As children develop they gradually move through different phases of development. Jean Piaget was a Swiss psychologist

While studying psychology, Jean Piaget became extremely interesting of children development and learning throughout their lives. It was over a course of six decades of his career in child psychology when he recognized four stages of mental development

Developmental psychology is the point of view that occurs in learners over the course of a period of time. The developmental perspective includes theories that are continuous and discontinuous. Discontinuous theories are stage-like. The processes of learning and development involve distinct stages, which are characterized by qualitative differences in behavior. Theorists who use discontinuous theories use a specific beginning and end period for each stage. Continuous theories explain that learning and development generally happen in incremental processes. Learning involves changes throughout the lifespan. “Contemporary views on the nature of cognitive development have been vastly influenced by the work of one man. This was Jean Piaget (1896-1980), once a biologist, who turned his

Jean Piaget, a cognitivist, believed children progressed through a series of four key stages of cognitive development. These four major stages, sensorimotor, preoperational, concrete operational, and formal operational, are marked by shifts in how people understand the world. Although the stages correspond with an approximate age, Piaget’s stages are flexible in that if the child is ready they can reach a stage. Jean Piaget developed the Piagetian cognitive development theory. Piaget’s theory of cognitive development proposes that a child’s intellect, or cognitive ability, progresses through four distinct stages. The emergence of new abilities and ways of processing information characterize each stage. Jean Piaget's theory of cognitive development suggests that children move through four different stages of mental development. His theory focuses not only on understanding how children acquire knowledge, but also on understanding the nature of intelligence.