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Teaching introductory calculus: approaching key ideas with dynamic software

Record type: Conference or Workshop Item (Paper)

While, commonly across the world, selected key ideas of the Calculus are introduced to students in the final years of schooling, and are thence built upon as students take a full course in Analysis at University, there remains much to learn about how best to introduce such ideas and how to develop and expand the ideas at University level. This paper reports on the work of a European-funded project involving four countries in which the potential of dynamic software was exploited in the teaching of topics such as infinite processes, limits, continuity, differentiation and integration. Amongst the approaches adopted in the project, problem-solving situations were developed through which students, while their knowledge may initially be inadequate, could approach intuitively the central mathematical notion in ways that are consistent with formal mathematical definitions. Amongst the implications of the project, in terms of the debate about what is suitable preparation for students embarking on a course of analysis at University level, are that it might be useful to think in terms of two categories of learning activity – the first is introducing student to relevant concepts and the second focuses on the teaching of theorems. These two categories entail a different design of learning activity.

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Citation

Zachariades, Theodosis, Pamfilos, Paris, Christou, Constantinos, Maleev, Rumeen and Jones, Keith (2007) Teaching introductory calculus: approaching key ideas with dynamic software At Conference on Excellence in the Teaching and Learning of Mathematics (CETL-MSOR 2007), United Kingdom. 10 - 11 Sep 2007. 9 pp.

More information

Published date: September 2007
Venue - Dates: Conference on Excellence in the Teaching and Learning of Mathematics (CETL-MSOR 2007), United Kingdom, 2007-09-10 - 2007-09-11
Keywords: calculus, teaching, learning, currriculum, pedagogy, analysis, school, collge, University, dynamic geometry, software, ict, computer, infinite processes, limits, continuity, differentiation, integration, concept, theorem
Organisations: Mathematics, Science & Health Education

Identifiers

Local EPrints ID: 50741
URI: http://eprints.soton.ac.uk/id/eprint/50741
PURE UUID: 0f06f86b-3cc5-4a86-b4e9-8aabe0fdceb3
ORCID for Keith Jones: ORCID iD orcid.org/0000-0003-3677-8802

Catalogue record

Date deposited: 19 Mar 2008
Last modified: 17 Jul 2017 14:50

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Contributors

Author: Theodosis Zachariades
Author: Paris Pamfilos
Author: Constantinos Christou
Author: Rumeen Maleev
Author: Keith Jones ORCID iD

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