id: 06477140
dt: j
an: 2015e.00409
au: Koyuncu, Ilhan; Akyuz, Didem; Cakiroglu, Erdinc
ti: Investigating plane geometry problem-solving strategies of prospective
mathematics teachers in technology and paper-and-pencil environments.
so: Int. J. Sci. Math. Educ. 13, No. 4, 837-862 (2015).
py: 2015
pu: Springer Netherlands, Dordrecht
la: EN
cc: D59 G49 U79
ut: dynamic geometry software; {\tt GeoGebra}; mathematical problem solving;
plane geometry; triangles
ci:
li: doi:10.1007/s10763-014-9510-8
ab: Summary: This study aims to investigate plane geometry problem-solving
strategies of prospective mathematics teachers using dynamic geometry
software (DGS) and paper-and-pencil (PPB) environments after receiving
an instruction with GeoGebra (GGB). Four plane geometry problems were
used in a multiple case study design to understand the solution
strategies developed by 2 prospective teachers. The results revealed
that although the participants mostly used algebraic solutions in the
PPB environment, they preferred geometric solutions in the GGB
environment even though algebraic solutions were still possible (the
software did not preclude them). Furthermore, different proofing
strategies were developed in each environment. This suggests that
changing the environment may prompt students to seek for additional
solutions, which, in turn, results in a deeper understanding of the
problem. As such, using both environments simultaneously in solving the
same problems appears to bring about important benefits.
rv: