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Mathematics learning Theories

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In contrast, cgnitivism presents the mind of a learner as being akin to a computer and learning to be a process dependent on an array of internal mental processes. A per Jean Piaget, te intellectual development in humans tends to follow a chronological sequence that comprises of a total of 4 sequential stages. Tese four stages enunciated by Piaget comprised of Sensorimotor found in the age group 0-2 years, Peoperational Stage found in the age group 2-7 years, Cncrete Operational Stage found in the age group 7-11 years Operational Stage found in the age group 11-15 years (Flavell, 1963, p During the Sensorimotor stage learners tend to develop faculties of memory, iitation and thought.

Dring the Preoperational Stage, te child develops language and the ability to think in terms of symbols. Dring Concrete Operational Stage a child learns to solve hands on concrete problems and during Formal Operation Stage a child learns to solve formal abstract problems. Tereby, a per Jean Piaget’s theory, achild while being taught mathematical skills need to be exposed to such problems that the learning stage one is in.

Dring preoperational stage a teacher could make the students recognize and memorize mathematical digits engraved on a flash card. For instance during Concrete Operational Stage a child should be made to solve concrete problems and should not be expected to solve abstract mathematical problems, a one lacks the mental capacity to do so. Smilarly during the Formal Operation Stage a teacher could readily teach children to solve mathematical problems pertaining to Trigonometry and Set Theory requiring much abstract effort and thinking. I stage teacher could expect the students to understand and grasp the abstract figures pertaining to mathematical problems being drawn on the black board.

A per the psychologist Lev Vygotsky, scial interactions and culture play a salient role in the cognitive development and learning behaviour of a learner. Acording to Vygotsky, i a society the learning behaviour of a child is influenced in a systematic and intentional manner by the adults (Gates, 2001). Fr instance say in a class room a teacher is teaching a student as to how solve quadratic and how to crack and understand them.

Te child tries to grasp the process while the teacher. ..

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