id: 05705162
dt: j
an: 2010c.00425
au: Dinov, Ivo D.; Christou, Nicholas; Sanchez, Juana
ti: Central limit theorem: New SOCR applet and demonstration activity.
so: J. Stat. Educ. 16, No. 2, 15 p. (2008).
py: 2008
pu: Taylor \& Francis, Abingdon, Oxfordshire; American Statistical Association
(ASA), Alexandria, VA
la: EN
cc: K65 R25
ut: computer uses in education; information technology; educational technology;
visual aids; logical thinking; probability; statistics; course content;
online systems
ci:
li:
ab: Summary: Modern approaches for information technology based blended
education utilize a variety of novel instructional, computational and
network resources. Such attempts employ technology to deliver
integrated, dynamically linked, interactive content and multi-faceted
learning environments, which may facilitate student comprehension and
information retention. In this manuscript, we describe one such
innovative effort of using technological tools for improving student
motivation and learning of the theory, practice and usability of the
Central Limit Theorem (CLT) in probability and statistics courses. Our
approach is based on harnessing the computational libraries developed
by the Statistics Online Computational Resource (SOCR) to design a new
interactive Java applet and a corresponding demonstration activity that
illustrate the meaning and the power of the CLT. The CLT applet and
activity have clear common goals; to provide graphical representation
of the CLT, to improve student intuition, and to empirically validate
and establish the limits of the CLT. The SOCR CLT activity consists of
four experiments that demonstrate the assumptions, meaning and
implications of the CLT and ties these to specific hands-on
simulations. We include a number of examples illustrating the theory
and applications of the CLT. Both the SOCR CLT applet and activity are
freely available online to the community to test, validate and extend
(Applet: http://www.socr.ucla.edu/htmls/SOCR\_Experiments.html and
Activity:
http://wiki.stat.ucla.edu/socr/index.php/SOCR\_EduMaterials\_Activities\_GeneralCentralLimitTheorem).
(Contains 8 figures.) (ERIC)
rv: