On Early Discovery of Mathematically Creative Children using Artificial Neural Networks Modeling (with a case study)
• 2011
Publication Information
Authors
H.M. Mustafa
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publication.type
International
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Abstract
Learning creativity is an interesting educational phenomenon usually observed at children classrooms.
Early discovery of individual children having mathematical creativity is a challenging interdisciplinary research
issue. This piece of research focuses on quantitative analysis and evaluation of mathematical learning creativity on
the basis of acquired “Subjective Domains of Experiences” (SDE) inside children's brain. Acquisition of (SDE)
assumed to modify a children's stored experience via application of various multimedia Computer Assisted Learning
(CAL) packages (modules). Accordingly, fairly assessment of mathematical learning time response has been
adopted herein for analysis and evaluation of learning creativity acquired by (SDE). By some details, early
discovery of creativity could be performed well in accordance with obtained learning assessment results. That is
after solving correctly a suggested mathematical topic (at children classrooms).Furthermore, interactive interference
between Reflective and Spontaneous Vorstellungen* during mathematical education has been simulated using
supervised and autonomous Artificial Neural Network (ANN) learning paradigms.
*The German word Vorstellungen is used in replacement of the vague English expression “internal representation”
[H.M. Mustafa On Early Discovery of Mathematically Creative Children using Artificial Neural Networks Modeling
(with a case study). Journal of American Science 2011;7(6):418-429]. (ISSN: 1545-1003).
http://www.americanscience.org.
Early discovery of individual children having mathematical creativity is a challenging interdisciplinary research
issue. This piece of research focuses on quantitative analysis and evaluation of mathematical learning creativity on
the basis of acquired “Subjective Domains of Experiences” (SDE) inside children's brain. Acquisition of (SDE)
assumed to modify a children's stored experience via application of various multimedia Computer Assisted Learning
(CAL) packages (modules). Accordingly, fairly assessment of mathematical learning time response has been
adopted herein for analysis and evaluation of learning creativity acquired by (SDE). By some details, early
discovery of creativity could be performed well in accordance with obtained learning assessment results. That is
after solving correctly a suggested mathematical topic (at children classrooms).Furthermore, interactive interference
between Reflective and Spontaneous Vorstellungen* during mathematical education has been simulated using
supervised and autonomous Artificial Neural Network (ANN) learning paradigms.
*The German word Vorstellungen is used in replacement of the vague English expression “internal representation”
[H.M. Mustafa On Early Discovery of Mathematically Creative Children using Artificial Neural Networks Modeling
(with a case study). Journal of American Science 2011;7(6):418-429]. (ISSN: 1545-1003).
http://www.americanscience.org.
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