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In education, realia (/ r iː ˈ eɪ l ɪ ə /) are objects from real life used in classroom instruction by educators to improve students' learning. [1] A teacher of a foreign language often employs realia to strengthen students' associations between words for common objects and the objects themselves. In many cases, these objects are part of ...
In mathematics education, a representation is a way of encoding an idea or a relationship, and can be both internal (e.g., mental construct) and external (e.g., graph). Thus multiple representations are ways to symbolize, to describe and to refer to the same mathematical entity. They are used to understand, to develop, and to communicate ...
The rule of similarity states that images that are similar to each other can be grouped together as being the same type of object or part of the same object. Therefore, the more similar two images or objects are, the more likely it will be that they can be grouped together. For example, two squares among many circles will be grouped together.
They can represent items, people, activities and/or events, and look or feel similar to what they refer to. [2] [3] [5] [6] For example, a cup can be used as three-dimensional tangible symbol to represent the action: "drink". [6] A photograph of a cup can be used as a two-dimensional tangible symbol to also represent the action: "drink".
A similar perspective is viewing representation as part of a larger field, as Mitchell, saying, "…representation (in memory, in verbal descriptions, in images) not only 'mediates' our knowledge (of slavery and of many other things), but obstructs, fragments, and negates that knowledge" [8] and proposes a move away from the perspective that ...
Another way to define similarity, best known from geometry, is in terms of transformations. According to this definition, two objects are similar if there exists a certain type of transformation that translates one object into the other object while leaving certain properties essential for similarity intact.
Category theory is a branch of mathematics that seeks to generalize all of mathematics in terms of categories, independent of what their objects and arrows represent. Virtually every branch of modern mathematics can be described in terms of categories, and doing so often reveals deep insights and similarities between seemingly different areas ...
In 2001, David Wiley criticized learning object theory in his paper, The Reusability Paradox which is summarized by D'Arcy Norman Archived 2021-05-02 at the Wayback Machine as, If a learning object is useful in a particular context, by definition it is not reusable in a different context. If a learning object is reusable in many contexts, it ...