Show simple item record

dc.contributor.authorGruenwald, N
dc.contributor.authorKlymchuk, S
dc.date.accessioned2014-08-15T03:01:04Z
dc.date.accessioned2015-02-10T02:12:18Z
dc.date.available2014-08-15T03:01:04Z
dc.date.available2015-02-10T02:12:18Z
dc.date.copyright2003
dc.identifier.citationThe New Zealand Mathematics Magazine, vol.40(2), pp.33 - 41
dc.identifier.urihttp://hdl.handle.net/10292/8392
dc.description.abstractThe paper deals with a practical issue encountered by many lecturers teaching first-year university Calculus. A big proportion of students seem to be able to find correct solutions to test and exam questions using familiar steps and procedures. Yet they lack deep conceptual understanding of the underlying theorems and sometimes have misconceptions. In order to reduce or eliminate misconceptions, and for deeper understanding of the concepts involved, the students were given the incorrect mathematical statements and were asked to construct counter-examples to disprove the statements. More than 600 students from 10 universities in different countries were questioned regarding their attitudes towards the method of using counter-examples for eliminating misconceptions and deeper conceptual understanding. The vast majority of the students reported that the method was very effective and made learning mathematics more challenging, interesting and creative.
dc.relation.replaceshttp://hdl.handle.net/10292/7571
dc.relation.replaces10292/7571
dc.rightsNOTICE: this is the author’s version of a work that was accepted for publication. Changes resulting from the publishing process, such as peer review, editing, corrections, structural formatting, and other quality control mechanisms may not be reflected in this document. Changes may have been made to this work since it was submitted for publication. A definitive version was subsequently published in (see Citation).
dc.titleUsing counter-examples in teaching calculus
dc.typeJournal Article
dc.rights.accessrightsOpenAccess
aut.relation.endpage41
aut.relation.issue2
aut.relation.startpage33
aut.relation.volume40
pubs.elements-id16817


Files in this item

Thumbnail

This item appears in the following Collection(s)

Show simple item record