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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.
A graphic organizer can be used as a teaching tool in two ways: From graphic organizer to text – A completed sequence organizer is used to create a piece of writing based on the information it contains. From text to graphic organizer – A sequence organizer is used to simplify, in note form, events in a sequential order.
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]
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.
Included are diagram techniques, chart techniques, plot techniques, and other forms of visualization. There is also a list of computer graphics and descriptive geometry topics . Simple displays
The Mandelbrot set, one of the most famous examples of mathematical visualization. Mathematical phenomena can be understood and explored via visualization. Classically, this consisted of two-dimensional drawings or building three-dimensional models (particularly plaster models in the 19th and early 20th century).
As the chart is a graphic organizer it can aid visual learners. The information is presented in a user-friendly way that is visually accessible. [6] Due to the visual nature of the KWL chart it can also be beneficial for young learners such as preschoolers. Words may not be necessary, and pictures can be used to express the chart's ideas. [6]
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.
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