id: 06664507
dt: j
an: 2016f.01431
au: Stupel, Moshe; Segal, Ruti; Oxman, Victor
ti: Teaching locus with a conserved property by integrating mathematical tools
and dynamic geometric software.
so: Aust. Sr. Math. J. 30, No. 1, 25-44 (2016).
py: 2016
pu: Australian Association of Mathematics Teachers (AAMT), Adelaide, SA
la: EN
cc: U70 G70
ut: dynamic geometry software; use of technology; loci; ellipse; parabola;
circle
ci:
li:
ab: Summary: In this article, we present investigative tasks that concern loci,
which integrate the use of dynamic geometry software (DGS) with
mathematics for proving the obtained figures. Additional conditions
were added to the loci: ellipse, parabola and circle, which result in
the emergence of new loci, similar in form to the original loci. The
mathematical relation between the parameters of the original and new
loci was found by the learners. A mathematical explanation for the
general case, using the “surprising” results obtained in the
investigative tasks, is presented. Integrating DGS in mathematics
instruction fosters an improved teaching and learning process. (ERIC)
rv: