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Abstraction in Mathematics Learning
Mathematics Education Research Journal, 2007ion has been a frequent discussion topic since the days of Aristotle and Plato. Constructivist theories often espouse the notion of levels of abstraction. Hiebert and Lefevre (1986, pp. 4-5) put it this way: It is useful to distinguish between two levels at which relationships between pieces of mathematical knowledge can be established.
Michael Mitchelmore, Paul White
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Mathematics for the Learning Disabled
Journal of Learning Disabilities, 1981Many learning disabled students would be able to learn the mathematical skills necessary for independent living if their mathematical curriculum would concentrate primarily on functional skills.
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2004
Our formal models of learning seem to overestimate how hard it is to learn some kinds of things, including grammars. One possible reason for this is that our models generally do not represent learning a concept as an incremental addition to a rich collection of related concepts. This raises the question of how to make a good model of a “rich collection
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Our formal models of learning seem to overestimate how hard it is to learn some kinds of things, including grammars. One possible reason for this is that our models generally do not represent learning a concept as an incremental addition to a rich collection of related concepts. This raises the question of how to make a good model of a “rich collection
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Mathematical Learning Disabilities
2010Publisher Summary The cognitive research on children has focused on the basic competencies in understanding number, counting, and their arithmetic skills. Children with mathematics learning disability (MLD) and, to a lesser extent, low achieving (LA) children show a deficit or delay in their processing of numbers (e.g., accessing the quantity ...
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Interactive Learning and Mathematical Calculus
2006A variety of problems in mathematical calculus can be solved by recursively applying a finite number of rules. Often, a generic solving strategy can be extracted and an interactive exercise system that emulates a tutor can be implemented. In this paper we show how software developed by us can be used to realize this interactivity.
Arjeh M. Cohen +3 more
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The mathematics of language learning.
2014Over the past decade, attention has gradually shifted from the estimation of parameters to the learning of linguistic structure (for a survey see Smith 2011). The Mathematics of Language (MOL) SIG put together this tutorial, composed of three lectures, to highlight some alternative learning paradigms in speech, syntax, and semantics in the hopes of ...
Kornai, Andras +3 more
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Conceptions of and Approaches to Learning Mathematics
Psychological Reports, 2000Pearson correlation coefficients indicated a different relationship between conceptions of mathematics and approaches to learning mathematics to that reported in literature. It was concluded that the 154 students (82 women and 72 men) followed a strategic approach to learning mathematics.
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The History of Mathematics for Teaching and Learning Mathematics
This research is included in the project "Mathematics, Enginee ring and Heritage: New Chalenges and Practices (XVI-XIX)" (PID2020-113702RB-IO0) of the Spanish Ministerio de Ciencia Innovación.openaire +2 more sources
2002
Learning theoretic aspects of mathematics and logic have been studied by many authors. They study how mathematical and logical objects are algorithmically "learned" (inferred) from finite data. Although the subjects of studies are mathematical objects, the objective of the studies are learning. In this paper, a mathematics of which foundation itself is
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Learning theoretic aspects of mathematics and logic have been studied by many authors. They study how mathematical and logical objects are algorithmically "learned" (inferred) from finite data. Although the subjects of studies are mathematical objects, the objective of the studies are learning. In this paper, a mathematics of which foundation itself is
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The Mathematics Teacher, 1944
How often we hear intelligent people express awe at mathematics. They show great admiration for man's ability to think and express himself in the supposed abstractions of mathematical processes. Therein lies one of the basic reasons for the difficulties that are experienced in learning it.
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How often we hear intelligent people express awe at mathematics. They show great admiration for man's ability to think and express himself in the supposed abstractions of mathematical processes. Therein lies one of the basic reasons for the difficulties that are experienced in learning it.
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