\input zb-basic
\input zb-matheduc
\iteman{ZMATH 2009e.00330}
\itemau{Papadopoulos, Ioannis; Dagdilelis, Vassilios}
\itemti{Students' use of technological tools for verification purposes in geometry problem solving.}
\itemso{J. Math. Behav. 27, No. 4, 311-325 (2008).}
\itemab
Summary: Despite its importance in mathematical problem solving, verification receives rather little attention by the students in classrooms, especially at the primary school level. Under the hypotheses that (a) non-standard tasks create a feeling of uncertainty that stimulates the students to proceed to verification processes and (b) computational environments -- by providing more available tools compared to the traditional environment -- might offer opportunities for more frequent usage of verification techniques, we posed to 5th and 6th graders non-routine problems dealing with area of plane irregular figures. The data collected gave us evidence that computational environments allow the development of verification processes in a wider variety compared to the traditional paper-and-pencil environment and at the same time we had the chance to propose a preliminary categorization of the students' verification processes under certain conditions.
\itemrv{~}
\itemcc{E43 D53 G33}
\itemut{verification; problem solving; technology; problem posing; educational research; plane geometry}
\itemli{doi:10.1016/j.jmathb.2008.11.001}
\end