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\iteman{ZMATH 2014c.00704}
\itemau{Lew, Hee-Chan; Yoon, Okyo}
\itemti{Study on the learning of quadratic equation through proportion in a dynamic environment.}
\itemso{Lindmeier, Anke M. (ed.) et al., Proceedings of the 37th conference of the International Group for the Psychology of Mathematics Education ``Mathematics learning across the life span", PME 37, Kiel, Germany, July 28--August 2, 2013. Vol. 3. Kiel: IPN--Leibniz Institute for Science and Mathematics Education at the University of Kiel (ISBN 978-3-89088-289-5). 249-256 (2013).}
\itemab
Summary: This study investigated the process of constructing the geometrical solutions to the quadratic equation, $x^2-ax+b^2=0$ through proportions between lengths of similar triangles in a dynamic environment. To do this, we provided one task to 4 ninth grade students and observed the process of the students' activities. As a result of this study, our research shows the possibility and advantage of geometrical method in learning the quadratic equation.
\itemrv{~}
\itemcc{H33 U73 G73}
\itemut{quadratic equations; proportion; geometrical solution; dynamic environment}
\itemli{}
\end