explain based on mathematics the theory of jean piaget?
Answers
Piaget Stages and A Piagetian Approach to Mathematics
Stages and A Piagetian Approach to Mathematics He proposed that children move through four stages of learning: ... In Stage 2 (Preoperational), Piaget suggested that children in the early grades of elementary school need concrete objects, pictures, actions, and symbols to develop mathematical meanings.
Piaget's (1936) theory of cognitive development explains how a child constructs a mental model of the world. He disagreed with the idea that intelligence was a fixed trait, and regarded cognitive development as a process which occurs due to biological maturation and interaction with the environment.
Answer:
(very big answer you can short it)
The theories of Jean Piaget have illuminated thoughts about learning and
reasoning operations for children of all ages. His research has had great impact on
teaching strategies for educators, especially those of elementary age students. Of
particular interest is applying his theories to teaching first grade students in the subject of
mathematics. By looking at Jean Piaget the man and his cognitive development theories,
one can gain a better understanding for applying his thoughts to teaching mathematics at
this level.
Jean Piaget born in Switzerland in 1886, had a strong interest in Biology and
taught at a school as a young man. He eventually began to study the thought processes of
young children looking for ways their thinking differs from adults. He used observatory
research and a series of experiments created by himself to identify patterns and address
learning concepts for children. His initial thoughts were very much influenced by his
observations of his own children. In addition, he published many books and articles with
his findings. His work has been revered and criticized by many. Most of his critics attack
his informal research methods, but many see his research as a source for ideas and insight
into a child’s mind.
Step-by-step explanation:
His first stage (Sensorimotor) really only applied to children up to two years of age. But the next two stages are highly relevant to the elementary grades.
In Stage 2 (Preoperational), Piaget suggested that children in the early grades of elementary school need concrete objects, pictures, actions, and symbols to develop mathematical meanings. For example, when teaching the “make-ten” addition strategy for figuring out basic facts such as 9 + 4, Grade 1 students should move counters on double ten-frames to act out the idea of using part of one addend to “make” the other addend into a complete “ten.” In this way they verbalize “nine plus four has the same value as ten plus three.” In doing so, numbers are treated as quantities, rather than symbols. At a later time, instruction is moved to a pictorial representation of the same problem. (Click here to learn more about this strategy.)
Piaget theory stage 2 - make ten example piaget theory - make ten strategy 2
Piaget’s Stage 3 (Concrete Operational) begins around Grade 2. In these grades students become more sophisticated in their thinking and begin to mentally visualize the concrete and pictorial manipulations as they apply them to more abstract problems. For example, if they have a strategy for 9 + 4, they can then continue to think quantitatively and apply the same thinking to 29 + 15. In the same way that “nine plus four has the same value as ten plus three,” then “twenty-nine plus fifteen has the same value as thirty plus fourteen.”
The same thinking can be applied to 298 + 56, which removes the need to apply a traditional paper-and-pencil algorithm.