TY - JOUR

T1 - Using a dynamic geometry system to integrate analytic and synthetic knowledge in the solution of geometry problems

AU - GUERRERO ORTIZ, CAROLINA

AU - Reyes-Rodríguez, Aaron

AU - Espinosa-Pérez, Hugo

PY - 2016/1/1

Y1 - 2016/1/1

N2 - In this study, we documented how the systematic use of a dynamic geometry system (DGS) during problem solving became a means of integrating synthetic and analytic concepts of geometric knowledge. We analysed solution paths for tasks of geometric construction, developed by participants of a problem-solving seminar during two sessions and identified the limitations of purely analytic approaches and the advantages of integrating synthetic and analytic techniques. The results indicate that solving problems with the support offered by a DGS increases the opportunities that problem solvers have to interpret algebraic procedures from a geometric perspective and to construct meaning of mathematical concepts.

AB - In this study, we documented how the systematic use of a dynamic geometry system (DGS) during problem solving became a means of integrating synthetic and analytic concepts of geometric knowledge. We analysed solution paths for tasks of geometric construction, developed by participants of a problem-solving seminar during two sessions and identified the limitations of purely analytic approaches and the advantages of integrating synthetic and analytic techniques. The results indicate that solving problems with the support offered by a DGS increases the opportunities that problem solvers have to interpret algebraic procedures from a geometric perspective and to construct meaning of mathematical concepts.

KW - Connections

KW - DGS

KW - Dynamic geometry system

KW - Geometry

KW - Problem solving

KW - Understanding

UR - http://www.scopus.com/inward/record.url?scp=85006410217&partnerID=8YFLogxK

U2 - 10.1504/IJLT.2016.079033

DO - 10.1504/IJLT.2016.079033

M3 - Article

AN - SCOPUS:85006410217

VL - 11

SP - 179

EP - 180

JO - International Journal of Learning Technology

JF - International Journal of Learning Technology

SN - 1477-8386

IS - 3

ER -