| Data: |
2000 |
| Resum: |
We state and justify a conjecture concerning the comparative complexity of the representation of real numbers on the line versus other representations. The Introduction provides the setting of the subject and states the conjecture. Part 1 deals with the controversial line's «nature» and depicts several interpretations of the straight line. Part 2 analyses the particular phenomenology related to the assignment of real numbers to the line's points, in order to extract some limitations of such an assignment. Part 3 compares several representations of real numbers with the representation on the line, and presents a set of distinctive features for the latter. This paper, theoretically oriented, comes from a broader research work addressed to uncover epistemological obstacles related to the representation of real numbers on the straight line. We are doing a work field, involving students of several levels, on this subject. |
| Drets: |
Aquest document està subjecte a una llicència d'ús Creative Commons. Es permet la reproducció total o parcial, la distribució, i la comunicació pública de l'obra, sempre que no sigui amb finalitats comercials, i sempre que es reconegui l'autoria de l'obra original. No es permet la creació d'obres derivades.  |
| Llengua: |
Castellà |
| Document: |
Article ; recerca ; Versió publicada |
| Publicat a: |
Enseñanza de las ciencias, V. 18 N. 1 (2000) , p. 25-34, ISSN 2174-6486 |
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