Comparing the structure of algorithms: the case of long division and log division
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Authors
Weber, Christof
Author (Corporation)
Publication date
12/2019
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Collections
Type
04B - Conference paper
Editors
Jankvist, Uffe Thomas
van den Heuvel-Panhuizen, Marja
Veldhuis, Michiel
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Parent work
Proceedings of the Eleventh Congress of the European Society for Research in Mathematics Education
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Freudenthal Group & Freudenthal Institute, Utrecht University and ERME
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Utrecht
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Abstract
This 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.
Keywords
Mathematical algorithms, Logarithms, Algorithmic Thinking, Comparison
Subject (DDC)
370 - Erziehung, Schul- und Bildungswesen
Event
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Conference start date
06.02.2019
Conference end date
10.02.2019
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Language
German
Created during FHNW affiliation
Yes
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Publication status
Unpublished
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Citation
WEBER, Christof, 2019. Comparing the structure of algorithms: the case of long division and log division. In: Uffe Thomas JANKVIST, Marja VAN DEN HEUVEL-PANHUIZEN und Michiel VELDHUIS (Hrsg.), Proceedings of the Eleventh Congress of the European Society for Research in Mathematics Education. Utrecht: Freudenthal Group & Freudenthal Institute, Utrecht University and ERME. Dezember 2019. Verfügbar unter: http://hdl.handle.net/11654/27715