Law of large numbers: The theory, applications and technology-based education

Journal of Statistics Education

Volumn 17, Issue 1, 2009, Pages 1-19

  Dinov, Ivo D ^a   Christou, Nicolas ^a   Gould, Robert ^a  

^a UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

Applets; Law of large numbers; Limit theorems; SOCR; Statistics education; Technology based blended instruction

Indexed keywords

EID: 69449088527     PISSN: None     EISSN: 10691898     Source Type: Journal    
DOI: 10.1080/10691898.2009.11889499     Document Type: Article

References (36)

1. ARTIST (2006). https://app.gen.umn.edu/artist/.
2. Blasi, L., Alfonso, B. (2006). Increasing the transfer of simulation technology from R&D into school settings: An approach to evaluation from overarching vision to individual artifact in education. Simulation Gaming, 37, 245 - 267.
3. Brescia, W., & Miller, M. (2006). What's it worth? The perceived benefits of instructional blogging. Electronic Journal for the Integration of Technology in Education, 5, 44-52.
4. ClickTV (2006) http://blog.click.tv/.
5. DeHon, A. (2004). Law of large numbers system design, Nano, Quantum and Molecular Computing Kluwer Academic Publishers, Boston, MA.
6. Dinov, I. (2006a). SOCR: Statistics Online Computational Resource: socr.ucla.edu. Statistical Computing & Graphics, 17, 11-15.
7. Dinov, I. (2006b). Statistics Online Computational Resource. Journal of Statistical Software, 16, 1-16.
8. Dinov, I., Sanchez, J., and Christou, N. (2006c). Pedagogical Utilization and Assessment of the Statistic Online Computational Resource in Introductory Probability and Statistics Courses. Journal of Computers & Education, in press.
9. Dinov, I., Christou, N., & Sanchez, J. (2008). Central Limit Theorem: New SOCR Applet and Demonstration Activity. Journal of Statistical Education, 16, 1-12.
10. Durrett, R. (1995). Probability: Theory and Examples: Duxbury Press.
11. Forster, P. (2006). Assessing technology-based approaches for teaching and learning mathematics. International Journal of Mathematical Education in Science and Technology, 37, 145 - 164, DOI: 10.1080/00207390500285826.
12. Garfield, J. (1995). How students learn statistics. International Statistical Review, 3, 25-34.
13. IVTWeb, (2006). www.ivtweb.com/.
14. Judd, K. (1985). The law of large numbers with a continuum of IID random variables. Journal of Economic Theory, 35, 19-25.
15. Leslie, M. (2003). Statistics Starter Kit. Science, 302, 1635.
16. LetsTalk (2006). LetsTalk: http://duber.com/LetsTalk.
17. Lunsford, M., Holmes-Rowell, G., & Goodson-Espy, T. (2006). Classroom Research: Assessment of Student Understanding of Sampling Distributions of Means and the Central Limit Theorem in Post-Calculus Probability and Statistics Classes. Journal of Statistics Education, 14.
18. Mishra, P., & Koehler, M. (2006). Technological Pedagogical Content Knowledge: A Framework for Teacher Knowledge. Teachers College Record, 108, 1017-1054; doi:10.1111/j.1467-9620.2006.00684.x.
19. MOODLE, (2006). http://moodle.org/.
20. PBSBlog, (2006). http://www.pbs.org/teachersource/learning.now.
21. Rabin, M. (2002). Inference By Believers in the Law of Small Numbers. Quarterly Journal of Economics, 117, 775-816.
22. Russell, K. G. (1991). Estimating the Value of e by Simulation. The American Statistician, 45, 66-68.
23. RVLS, http://www.ruf.rice.edu/%7Elane/rvls.html.
24. SAKAI, http://www.sakaiproject.org/.
25. Schroeder, L. (1974). Buffon's needle problem: An exciting application of many mathematical concepts. Mathematics Teacher, 67, 183-186.
26. Siegel, J., Romano, P., & Siegel, A. (1986). Counterexamples in Probability and Statistics: CRC Press.
27. SOCR Wiki, (2006). SOCR Wiki Resource, http://wiki.stat.ucla.edu/socr: UCLA.
28. Symanzik, J., & Vukasinovic, N, (2006). Teaching an Introductory Statistics Course with CyberStats, an Electronic Textbook. Journal of Statistics Education, 14.
29. TCEXAM TCExam Testbank,, http://sourceforge.net/projects/tcexam/.
30. Tversky, A., & Kahneman, D. (1971). Belief in the law of small numbers. Psychological Bulletin, 76, 105-110.
31. UCLAVOH, (2006). http://voh.chem.ucla.edu/.
32. UCLAX, (2006). UCLA Extension Online Courses, UCLA Extension: http://www.uclaextension.edu.
33. Uhlig, H., (1996). A Law of Large Numbers for Large Economies. Economic Theory, 8, 41-50.
34. VirtualLabs, http://www.math.uah.edu/stat/.
35. WebWork, http://www.opensymphony.com/webwork.
36. WikiBooks, (2006). http://en.wikibooks.org/wiki/Blended_Learning_in_K-12.