Comparing the structure of algorithms: the case of long division and log division
04B - Beitrag Konferenzschrift
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.
Proceedings of the Eleventh Congress of the European Society for Research in Mathematics Education
Verlag / Hrsg. Institution
Freudenthal Group & Freudenthal Institute, Utrecht University and ERME
Verlagsort / Veranstaltungsort