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Metacognition and self directed learning. Metacognition is an awareness of one's thought processes and an understanding of the patterns behind them. The term comes from the root word meta, meaning "beyond", or "on top of". [1]
Some researchers include a metacognitive component in their definition. In this view, the Dunning–Kruger effect is the thesis that those who are incompetent in a given area tend to be ignorant of their incompetence, i.e., they lack the metacognitive ability to become aware of their incompetence.
Examples of the first-level individual meta-knowledge are methods of planning, modeling, tagging, learning and every modification of a domain knowledge. Indeed, universal meta-knowledge frameworks have to be valid for the organization of meta-levels of individual meta-knowledge.
Nelson and Narens proposed a theoretical framework for understanding metacognition and metamemory. [2] In this framework there are two levels: the object level (for example, cognition and memory) and the meta level (for example, metacognition and metamemory). Information flow from the meta level to the object level is called control, and ...
Meta-learning is a branch of metacognition concerned with learning about one's own learning and learning processes. The term comes from the meta prefix's modern meaning of an abstract recursion , or "X about X", similar to its use in metaknowledge , metamemory , and meta-emotion .
All Mathematics is Symbolic Logic. [8] Bertrand Russell 1903. Peirce did not think that mathematics is the same as logic, since he thought mathematics makes only hypothetical assertions, not categorical ones. [11] Russell's definition, on the other hand, expresses the logicist view without reservation. [9]
For mathematics and mathematical logic, a metatheory is a mathematical theory about another mathematical theory. [4] Meta-theoretical investigations are part of the philosophy of science . [ 5 ] The topic of metascience is an attempt to use scientific knowledge to improve the practice of science itself.
In mathematics, and especially in category theory, a commutative diagram is a diagram of objects, also known as vertices, and morphisms, also known as arrows or edges, such that when selecting two objects any directed path through the diagram leads to the same result by composition.