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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 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 ...
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 ...
The language of mathematics or mathematical language is an extension of the natural language (for example English) that is used in mathematics and in science for expressing results (scientific laws, theorems, proofs, logical deductions, etc.) with concision, precision and unambiguity.
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 Colombian school bus driver has been arrested on rape and kidnapping charges after a girl he allegedly snatched over a decade ago managed to escape, authorities said Thursday.
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.
Others won championships or Olympic medals, but only Caitlin Clark lifted two sports to unseen heights in a single year.
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