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The use of multiple representations supports and requires tasks that involve decision-making and other problem-solving skills. [2] [3] [4] The choice of which representation to use, the task of making representations given other representations, and the understanding of how changes in one representation affect others are examples of such mathematically sophisticated activities.
A graphic organizer, also known as a knowledge map, concept map, story map, cognitive organizer, advance organizer, or concept diagram, is a pedagogical tool that uses visual symbols to express knowledge and concepts through relationships between them. [1]
Show your thinking." type="spreadWord"% At this point, most kids would have elaborated their calculations showing that each dime is worth $0.10, therefore making Bobby the owner of $0.40 while Amy ...
In mathematics, more specifically in topology, an open map is a function between two topological spaces that maps open sets to open sets. [1] [2] [3] That is, a function : is open if for any open set in , the image is open in . Likewise, a closed map is a function that maps closed sets to closed sets.
A mind map is a diagram used to visually organize information into a hierarchy, showing relationships among pieces of the whole. [1] It is often based on a single concept, drawn as an image in the center of a blank page, to which associated representations of ideas such as images, words and parts of words are added.
In mathematics, Arnold's cat map is a chaotic map from the torus into itself, named after Vladimir Arnold, who demonstrated its effects in the 1960s using an image of a cat, hence the name. [1] It is a simple and pedagogical example for hyperbolic toral automorphisms .
Thinking Maps were intended to standardize the language and visual organization used in education, which the company believed would close the achievement gap by establishing common ground. The idea was that if all children have the same background knowledge, less time would be spent teaching and re-teaching thought processes.
Let f : Γ → Γ be a combinatorial map and let E be the set of oriented edges of Γ. Then f determines its derivative map Df : E → E where for every edge e Df(e) is the initial edge of the path f(e). The map Df naturally extends to the map Df : T → T where T is the set of all turns in Γ.
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