Comparing the structure of algorithms: the case of long division and log division

dc.accessRightsAnonymous
dc.audienceScience
dc.contributor.authorWeber, Christof
dc.contributor.editorJankvist, Uffe Thomas
dc.contributor.editorvan den Heuvel-Panhuizen, Marja
dc.contributor.editorVeldhuis, Michiel
dc.date.accessioned2019-06-19T06:54:55Z
dc.date.available2019-06-19T06:54:55Z
dc.date.issued2019-12
dc.description.abstractThis paper is a theoretical contribution to the comprehension of logarithms by means of comparing algorithms. First an algorithmic approach to the logarithm (so-called log division) is introduced, which then is compared with the standard division algorithm (long division). By working out mathe- matical correspondences and differences between the two algorithms, this approach focuses on structural aspects of two mathematical operations and their relations. Comparing algorithms in classrooms is proposed as a way of algorithmic thinking that would go beyond rote memorization.
dc.event.end2019-02-10
dc.event.start2019-02-06
dc.identifier.urihttp://hdl.handle.net/11654/27715
dc.language.isodeen_US
dc.publisherFreudenthal Group & Freudenthal Institute, Utrecht University and ERME
dc.relation.ispartofProceedings of the Eleventh Congress of the European Society for Research in Mathematics Education
dc.spatialUtrechten_US
dc.subjectMathematical algorithms
dc.subjectLogarithms
dc.subjectAlgorithmic Thinking
dc.subjectComparison
dc.subject.ddc370 - Erziehung, Schul- und Bildungswesende
dc.titleComparing the structure of algorithms: the case of long division and log division
dc.type04B - Beitrag Konferenzschrift
dspace.entity.typePublication
fhnw.InventedHereYes
fhnw.IsStudentsWorkno
fhnw.PublishedSwitzerlandNo
fhnw.ReviewTypeLectoring (ex ante)
fhnw.affiliation.hochschulePädagogische Hochschule FHNWde_CH
fhnw.affiliation.institutInstitut Primarstufede_CH
fhnw.publicationStateUnpublished
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