Abstract

FERNANDEZ, Ceneida  and  LLINARES, Salvador. Implicative relations between strategies used in solving proportional and non-proportional problems. Relime [online]. 2012, vol.15, n.1, pp.9-34. ISSN 2007-6819.

This study analyzes the implicative relations between strategies used by 136 first year high school students in solving linear and non-linear problems. First of all, it describes the strategies used by students and then, using the CHIC software, it identifies implicative relations between them. The results demonstrate the importance of understanding the idea of reason in order to identify linear situations and information is provided in relation to possible precursors to the development of proportional reasoning.

Keywords : Proportional reasoning; Abusive use of linearity; Implicative relations; Linear situations; Non-linear situations.