Electronic Algebra and Calculus Tutor

Modern undergraduates join science and engineering courses with poorer mathematical background than most contemporaries of the current faculty had when they were freshers. The problem is very acute in the United Kingdom but more and more countries adopt less resource intensive models of teaching and...

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Main Authors: Larissa Fradkin, Victor Zernov
Format: Article
Language:English
Published: International Institute of Informatics and Cybernetics 2012-06-01
Series:Journal of Systemics, Cybernetics and Informatics
Subjects:
Online Access:http://www.iiisci.org/Journal/CV$/sci/pdfs/HEA983PO.pdf
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author Larissa Fradkin
Victor Zernov
author_facet Larissa Fradkin
Victor Zernov
author_sort Larissa Fradkin
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description Modern undergraduates join science and engineering courses with poorer mathematical background than most contemporaries of the current faculty had when they were freshers. The problem is very acute in the United Kingdom but more and more countries adopt less resource intensive models of teaching and the problem spreads. University tutors and lecturers spend more and more time covering the basics. However, most of them still rely on traditional methods of delivery which presuppose that learners have a good memory and considerable time to practice, so that they can memorize disjointed facts and discover for themselves various connections between the underlying concepts. These suppositions are particularly unrealistic when dealing with a large number of undergraduates who are ordinary learners with limited mathematics background. The first author has developed a teaching system that allows such adult learners achieve relatively deep learning of mathematics – and remarkably quickly – through a teacher-guided (often called Socratic) dialog, which aims at the frequent reinforcement of basic mathematical abstractions through Eulerian sequencing. These ideas have been applied to create a prototype of a Cognitive Mathematics Tutoring System aimed at teaching basic mathematics to University freshers., an electronic Personal Algebra and Calculus Tutor (e- PACT).
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spelling doaj.art-d5a18cf958164c219f18acb1ada143932022-12-21T23:38:11ZengInternational Institute of Informatics and CyberneticsJournal of Systemics, Cybernetics and Informatics1690-45242012-06-01103104110Electronic Algebra and Calculus TutorLarissa Fradkin0Victor Zernov1 Sound Mathematics Ltd. Sound Mathematics Ltd. Modern undergraduates join science and engineering courses with poorer mathematical background than most contemporaries of the current faculty had when they were freshers. The problem is very acute in the United Kingdom but more and more countries adopt less resource intensive models of teaching and the problem spreads. University tutors and lecturers spend more and more time covering the basics. However, most of them still rely on traditional methods of delivery which presuppose that learners have a good memory and considerable time to practice, so that they can memorize disjointed facts and discover for themselves various connections between the underlying concepts. These suppositions are particularly unrealistic when dealing with a large number of undergraduates who are ordinary learners with limited mathematics background. The first author has developed a teaching system that allows such adult learners achieve relatively deep learning of mathematics – and remarkably quickly – through a teacher-guided (often called Socratic) dialog, which aims at the frequent reinforcement of basic mathematical abstractions through Eulerian sequencing. These ideas have been applied to create a prototype of a Cognitive Mathematics Tutoring System aimed at teaching basic mathematics to University freshers., an electronic Personal Algebra and Calculus Tutor (e- PACT).http://www.iiisci.org/Journal/CV$/sci/pdfs/HEA983PO.pdf Socratic DialogEulerian SequencingCognitive TutorUndergraduate Mathematics
spellingShingle Larissa Fradkin
Victor Zernov
Electronic Algebra and Calculus Tutor
Journal of Systemics, Cybernetics and Informatics
Socratic Dialog
Eulerian Sequencing
Cognitive Tutor
Undergraduate Mathematics
title Electronic Algebra and Calculus Tutor
title_full Electronic Algebra and Calculus Tutor
title_fullStr Electronic Algebra and Calculus Tutor
title_full_unstemmed Electronic Algebra and Calculus Tutor
title_short Electronic Algebra and Calculus Tutor
title_sort electronic algebra and calculus tutor
topic Socratic Dialog
Eulerian Sequencing
Cognitive Tutor
Undergraduate Mathematics
url http://www.iiisci.org/Journal/CV$/sci/pdfs/HEA983PO.pdf
work_keys_str_mv AT larissafradkin electronicalgebraandcalculustutor
AT victorzernov electronicalgebraandcalculustutor