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The UCSMP supports educators by supplying training materials to them and offering a comprehensive mathematics curriculum at all levels of primary and secondary education. It seeks to bring international strengths into the United States, translating non-English math textbooks for English students and sponsoring international conferences on the ...
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 .
Connected Mathematics is a comprehensive mathematics program intended for U.S. students in grades 6–8.The curriculum design, text materials for students, and supporting resources for teachers were created and have been progressively refined by the Connected Mathematics Project (CMP) at Michigan State University with advice and contributions from many mathematics teachers, curriculum ...
These concrete objects facilitate children's understanding of important math concepts, then later help them link these ideas to representations and abstract ideas. For example, there are manipulatives specifically designed to help students learn fractions, geometry and algebra. [3]
A concept map typically represents ideas and information as boxes or circles, which it connects with labeled arrows, often in a downward-branching hierarchical structure but also in free-form maps. [2] [3] The relationship between concepts can be articulated in linking phrases such as "causes", "requires", "such as" or "contributes to". [4]
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.
An argument map or argument diagram is a visual representation of the structure of an argument.An argument map typically includes all the key components of the argument, traditionally called the conclusion and the premises, also called contention and reasons. [1]
[11] [21] Bar modeling is far more efficient than the "guess-and-check" approach, in which students simply guess combinations of numbers until they stumble onto the solution. [11] Once students have learned to solve mathematical problems using bar modeling, they begin to solve mathematical problems with exclusively abstract tools: numbers and ...