Open AccessRepresentación de los números reales en la recta
Author(s) -
Moisés Coriat,
Sara Scaglia
Publication year - 2000
Publication title -
enseñanza de las ciencias/enseñanza de las ciencias
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.495
H-Index - 15
eISSN - 2174-6486
pISSN - 0212-4521
DOI - 10.5565/rev/ensciencias.4054
Subject(s) - conjecture , representation (politics) , line (geometry) , phenomenology (philosophy) , subject (documents) , real line , number line , field (mathematics) , real number , set (abstract data type) , state (computer science) , computer science , mathematics , sociology , algebra over a field , epistemology , combinatorics , pure mathematics , algorithm , philosophy , mathematics education , programming language , world wide web , political science , geometry , politics , law
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.