6533b829fe1ef96bd1289a08

RESEARCH PRODUCT

Researching (Algebraic) Problem Solving from the Perspective of Local Theoretical Models

Luis Puig

subject

Computer scienceManagement scienceProcess (engineering)media_common.quotation_subjectControl (management)Plan (drawing)Term (time)Local theoretical modelsAlgebraic problem solvingReading (process)Mathematics educationMathematical sign systemsGeneral Materials ScienceAlgebraic numberHeuristicsLogico-semiotic outlinemedia_common

description

Concepts such as Local Theoretical Model, Mathematical Sign System, logico-semiotic outline, analytical reading, and formal competence model, elaborated within long term research programs developed in Mexico and Spain, are presented. Empirical data from a study carried out in Spain with students of a teacher training school are analyzed using this theoretical framework. The cases analyzed show to which extent the logico-semiotic outline determines the arithmetic or algebraic nature of the entire problem solving process, even in the case of pupils which had been instructed in general problem solving heuristics, management and control, including the explicit training in changing the plan of solution when facing difficulties. © 2010 Elsevier Ltd. All rights reserved.

10.1016/j.sbspro.2010.12.002http://dx.doi.org/10.1016/j.sbspro.2010.12.002