Comparing the structure of algorithms: The case of long division and log division
Résumé
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.
Origine | Fichiers produits par l'(les) auteur(s) |
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