title: Law of Large Numbers: the Theory, Applications and Technology-based Education.
abstract: Modern approaches for technology-based blended education utilize a variety of recently developed novel pedagogical, computational and network resources. Such attempts employ technology to deliver integrated, dynamically-linked, interactive-content and heterogeneous learning environments, which may improve student comprehension and information retention. In this paper, we describe one such innovative effort of using technological tools to expose students in probability and statistics courses to the theory, practice and usability of the Law of Large Numbers (LLN). We base our approach on integrating pedagogical instruments with the computational libraries developed by the Statistics Online Computational Resource (www.SOCR.ucla.edu). To achieve this merger we designed a new interactive Java applet and a corresponding demonstration activity that illustrate the concept and the applications of the LLN. The LLN applet and activity have common goals - to provide graphical representation of the LLN principle, build lasting student intuition and present the common misconceptions about the law of large numbers. Both the SOCR LLN applet and activity are freely available online to the community to test, validate and extend (Applet: http://socr.ucla.edu/htmls/exp/Coin_Toss_LLN_Experiment.html, and Activity: http://wiki.stat.ucla.edu/socr/index.php/SOCR_EduMaterials_Activities_LLN).
authors: Department of Statistics and Center for Computational Biology University of California, Los Angeles Los Angeles, CA 90095 Tel. 310-267-5075 Dinov@stat.ucla.edu.
authors: Ivo D
authors: ID
authors: Dinov
authors: Nicolas
authors: N
authors: Christou
authors: Robert
authors: R
authors: Gould
references: Comput Educ. 2008 Jan 1;50(1):284-300
references: 19750185
references: J Stat Softw. 2006 Oct 1;16(11):
references: 21451741
references: J Stat Educ. 2008 Jul 1;16(2):1-15
references: 21833159