Resumen

RUIZ, Elena  y  VALDEMOROS, Marta. Vínculo entre el pensamiento proporcional cualitativo y cuantitativo: el caso de Paulina. Relime [online]. 2006, vol.9, n.2, pp.299-324. ISSN 2007-6819.

The case study reported here it is part of a doctoral project already concluded. It refers to the evaluation of the teaching proposal for rate and proportion developed in the Doctoral research. This proposal was carried out with a group of students of elementary school constituted by 29 eleven-year-old Mexican children. The girl of the case study (Paulina) express the behavior of various of these children, who resolved the initial questionnaire with algorithms handled on a mechanical way, without giving sense to its elaborations, which was ratified at the beginning of the teaching program. This program permitted the growth of the qualitative proportional thought of the student, fortifying its quantitative proportional thought, regarding problem solving. Thus, the teaching, the final questionnaire and the employed interviews, showed that the enrichment of the qualitative proportional thought permitted to Paulina to expand the quantitative relations and to improve the management of the algorithms, framing it in applications full of sense.

Palabras llave : Quantitative proportional thought; qualitative proportional thought; internal rate; external rate; multiplicative operator.