TY - CHAP
AB - 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.
M3 - 04B - Beitrag Konferenzschrift
PY - 2019-12
DO - http://hdl.handle.net/11654/27715
KW - Mathematical algorithms
KW - Logarithms
KW - Algorithmic Thinking
KW - Comparison
A1 - Weber, Christof
A2 - Jankvist, Uffe Thomas
A2 - van den Heuvel-Panhuizen, Marja
A2 - Veldhuis, Michiel
PB - Freudenthal Group & Freudenthal Institute, Utrecht University and ERME
LA - de_CH
CY - Utrecht
T1 - Comparing the structure of algorithms: the case of long division and log division
UR - http://hdl.handle.net/11654/27715
T2 - Proceedings of the Eleventh Congress of the European Society for Research in Mathematics Education
ER -