Int. J. of Learning Technology   »   2013 Vol.8, No.2

 

 

Title: Digit technology, dynamic representations, and mathematical reasoning: extending problem solving frameworks

 

Authors: Manuel Santos-Trigo; Francisco Ortega-Moreno

 

Addresses:
Mathematics Education Department, Centre for Research and Advanced Studies, Cinvestav-IPN, Av. IPN 2508, Sn Pedro Zacatenco, 07360, DF, Mexico
Mathematics Education Department, Centre for Research and Advanced Studies, Cinvestav-IPN, Av. IPN 2508, Sn Pedro Zacatenco, 07360, DF, Mexico

 

Abstract: The systematic use of computational tools influences and shapes both the development of mathematics and the students' learning of the discipline. We argue that conceptual frameworks used to frame research and mathematical instruction need to take into account ways of reasoning and developing sense making activities that emerge as a result of using computational tools. To this end, we work on a conic section task to identify and discuss relevant features that characterise ways in which learners or problem solvers could reason about the task. Specially, features of mathematical thinking that emerge in the construction and exploration of a dynamic model of the task.

 

Keywords: mathematical problem solving; conceptual frameworks; digital technology; mathematics education; dynamic modelling; mathematical reasoning.

 

DOI: 10.1504/IJLT.2013.055673

 

Int. J. of Learning Technology, 2013 Vol.8, No.2, pp.186 - 200

 

Available online: 01 Aug 2013

 

 

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