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Cognitive acceleration or CA is an approach to teaching designed to develop students' thinking ability, developed by Michael Shayer and Philip Adey from 1981 at King's College London. [1] The approach builds on work by Jean Piaget and Lev Vygotsky and takes a constructivist approach.
Mathematical logic is the study of formal logic within mathematics.Major subareas include model theory, proof theory, set theory, and recursion theory (also known as computability theory).
Mental calculation has long been a component of mathematical education. Mental calculation consists of arithmetical calculations using only the human brain, with no help from any supplies (such as pencil and paper) or devices such as a calculator.
Some theorists understand logical reasoning in a wide sense that is roughly equivalent to critical thinking. In this regard, it encompasses cognitive skills besides the ability to draw conclusions from premises. Examples are skills to generate and evaluate reasons and to assess the reliability of information.
Numerical cognition is a subdiscipline of cognitive science that studies the cognitive, developmental and neural bases of numbers and mathematics.As with many cognitive science endeavors, this is a highly interdisciplinary topic, and includes researchers in cognitive psychology, developmental psychology, neuroscience and cognitive linguistics.
In Piaget's model of intellectual development, the fourth and final stage is the formal operational stage.In the classic book "The Growth of Logical Thinking from Childhood to Adolescence" by Jean Piaget and Bärbel Inhelder formal operational reasoning takes many forms, including propositional reasoning, deductive logic, separation and control of variables, combinatorial reasoning, and ...
Mathematics is essential in the natural sciences, engineering, medicine, finance, computer science, and the social sciences. Although mathematics is extensively used for modeling phenomena, the fundamental truths of mathematics are independent of any scientific experimentation.
Adaptive reasoning may also refer to the adaptation of thought processes, problem solving strategies, and conceptual framework, in response and anticipation of the changing nature of the problem being considered.
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