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For example, it is difficult to agree to whether concepts like God, the number three, and goodness are real, abstract, or both. An approach to resolving such difficulty is to use predicates as a general term for whether things are variously real, abstract, concrete, or of a particular property (e.g., good ).
[A] The abstract concepts can range "from numbers, to emotions, and from social roles, to mental states ..". [ A ] These abstract concepts are themselves grounded in multiple systems. [ A ] [ a ] In psychology , a conceptual system is an individual's mental model of the world; in cognitive science the model is gradually diffused to the ...
While within concrete concepts there is still a level of abstractness, concrete and abstract concepts can be seen on a scale. Some ideas like chair and dog are more cut and dry in their perceptions but concepts like cold and fantasy can be seen in a more obscure way. Examples of abstract concept learning are topics like religion and ethics.
Abstraction is the thought process in which ideas are distanced from objects. Abstraction uses a strategy of simplification of detail, wherein formerly concrete details are left ambiguous, vague, or undefined; thus speaking of things in the abstract demands that the listener have an intuitive or common experience with the speaker, if the speaker expects to be understood.
Object abstraction, or simply abstraction, is a concept wherein terms for objects become used for more abstract concepts, which in some languages develop into further abstractions such as verbs and grammatical words (grammaticalisation). Abstraction is common in human language, though it manifests in different ways for different languages.
The ontology of concepts determines the answer to other questions, such as how to integrate concepts into a wider theory of the mind, what functions are allowed or disallowed by a concept's ontology, etc. There are two main views of the ontology of concepts: (1) Concepts are abstract objects, and (2) concepts are mental representations. [8]
The student actively constructs their knowledge and understanding, while teaching models function as a mediator by actively testing the student through querying, challenging and assigning investigation tasks, ultimately, allowing the student to think in deeper ways about various concepts, ideas and mathematical contexts.
Understanding is a cognitive process related to an abstract or physical object, such as a person, situation, or message whereby one is able to use concepts to model that object. Understanding is a relation between the knower and an object of understanding.