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A result is called "deep" if its proof requires concepts and methods that are advanced beyond the concepts needed to formulate the result. For example, the prime number theorem — originally proved using techniques of complex analysis — was once thought to be a deep result until elementary proofs were found. [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.
The advocates of deliberate vocabulary learning paradigm -for example, Coady, 1993; Nation, 1990, 2001, as cited in Ma & Kelly, 2006- agree that context is the main source for vocabulary acquisition. However, they also believe that in order to be able to build up sufficient vocabulary and acquire the necessary strategies to handle the context ...
Rote learning is widely used in the mastery of foundational knowledge.Examples of school topics where rote learning is frequently used include phonics in reading, the periodic table in chemistry, multiplication tables in mathematics, anatomy in medicine, cases or statutes in law, basic formulae in any science, etc.
A more recent study has shown that spaced repetition can benefit tasks such as solving math problems. In a study conducted by Pashler, Rohrer, Cepeda, and Carpenter, [17] participants had to learn a simple math principle in either a spaced or massed retrieval schedule. The participants given the spaced repetition learning tasks showed higher ...
Whether you're heading home after the holidays or heading on your first vacation of the new year, the busy holiday travel period continues, and weather may be a factor. For some, snow, rain ...
Flocabulary is a Brooklyn-based company that creates educational hip hop songs, videos and additional materials for students in grades K-12. [1] Founded in 2004 by Blake Harrison and Alex Rappaport, the company takes a nontraditional approach to teaching vocabulary, United States history, math, science and other subjects by integrating content into recorded raps.
Steve Guttenberg hit the ground running to help people impacted by the fires in Pacific Palisades — and he was almost unrecognizable. The flames first began around 10:30 a.m. local time on ...