Central limit theorem: New SOCR applet and demonstration activity

Journal of Statistics Education

Volumn 16, Issue 2, 2008, Pages

  Dinov, Ivo D ^a   Christou, Nicolas ^a   Sanchez, Juana ^a  

^a UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

Applets; Central Limit Theorem; SOCR; Statistics education; Technology based blended instruction

Indexed keywords

EID: 56749183048     PISSN: None     EISSN: 10691898     Source Type: Journal    
DOI: 10.1080/10691898.2008.11889560     Document Type: Article

References (51)

1. Aberson, C. L., Berger, D. E., Healy, M. R., Kyle, D. J., & Romero, V. L. (2000). Evaluation of an Interactive Tutorial for Teaching the Central Limit Theorem. Teaching of Psychology, 27, 289-291.
2. Abrahamson, D., & Wilensky, U. (2004). ProbLab: A comsssputer-supported unit in probability and statistics, In M.J. Hoines & A.B. Fuglestad (Eds.), Proceedings of the 28th Annual Meeting of the International Group for the Psychology of Mathematics Education.
3. Andrews, D. (2005). Sampling Distributions of the Sample Mean and Sample Proportion, CAUSE Star Library.
4. ARTIST (2006). https://app.gen.umn.edu/artist/.
5. Ben-Zvi, D., & Garfield, J. (2004). The Challenge of Developing Statistical Literacy, Reasoning and Thinking: Springer.
6. BlackBoard (2006). http://www.blackboard.com/.
7. 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.
8. 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.
9. Chung, S.-Y., Richardson, T., & Urbanke, R. (2001). Analysis of sum-product decoding of low-density parity-check codes using a Gaussian approximation. IEEE Transactiond on Information Theory, 47.
10. ClickTV (2006). http://blog.click.tv/.
11. Davidson, J. (1994). The Central Limit Theorem, Stochastic Limit Theory (pp. 345-347): Oxford Scholarship Online Monographs.
12. DeGroot, M. (1970). Optimal statistical decisions. New York: McGraw-Hill.
13. Demir, S. (2006). Interactive Cell Modeling Web-Resource, iCell, as a Simulation-Based Teaching and Learning Tool to Supplement Electrophysiology Education. Annals of Biomedical Engineering, 34, 1077-1087.
14. Dinov, I. (2006a). SOCR: Statistics Online Computational Resource: socr.ucla.edu. Statistical Computing & Graphics, 17, 11-15.
15. Dinov, I. (2006b). Statistics Online Computational Resource. Journal of Statistical Software, 16, 1-16.
16. 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.
17. Formanov, S. (2002). The Stein - Tikhomirov Method and a Nonclassical Central Limit Theorem. Mathematical Notes, 71, 550-555.
18. 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.
19. Freedman, D., Pisani, R., & Purves, R. (1998). Statistics: W.W. Norton.
20. Garfield, J. (2002). The Challenge of Developing Statistical Reasoning. Journal of Statistics Education, 10.
21. Hall, L. J., & Nomura, Y. (2002). Complete theory of grand unification in five dimensions. Physical Review D, 66, 075004.
22. IVTWeb (2006). www.ivtweb.com/.
23. Khuong, H., & Kong, H.-Y. (2006). General Expression for pdf of a Sum of Independent Exponential Random Variables. IEEE Communications Letters, 10, 159-161.
24. Laakso, M.-J., Salakoski, R., Grandell, L., Qiu, X., Korhonen, A., & Malmi, L. (2005). Multi-perspective study of novice learners adopting the visual algorithm simulation exercise system TRAKLA2. Informatics in Education, 4, 49-68.
25. Leslie, M. (2003). Statistics Starter Kit. Science, 302, 1635.
26. LetsTalk (2006). LetsTalk: Http://duber.com/LetsTalk.
27. Lohninger, H. Learning By Simulation.
28. Lohninger, H. (2008). Learning by Simulations, Vienna University of Technology, Austria: Http://www.vias.org/simulations/simu_stat.html.
29. 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.
30. Lyapunov, A. (1906). About a proposition in the probability theory (Sur une proposition de la théorie des probabilités), Russian Academy of Sciences.
31. Masters, J., Madhyastha, T. M., & Shakouri, A. (2005). Educational Applets for active learning in properties of electronic materials. Education, IEEE Transactions on, 48, 29-36.
32. Merlev'ede, F., Peligrad, M., & Utev, S. (2006). Recent advances in invariance principles for stationary sequences. Probability Surveys, 3, 1-36.
33. 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.
34. MOODLE (2006). http://moodle.org/.
35. PBSBlog (2006). http://www.pbs.org/teachersource/learning.now.
36. RANDCLT (2007). Rand CLT in Action, http://www.rand.org/statistics/ applets/clt.html.
37. Rossman, A., Chance, B., & Ballman, K. (1999). A Data-Oriented, Active Learning, Post-Calculus Introduction to Statistical Concepts, Methods, and Theory (SCMT), funded by the Course, Curriculum, and Laboratory Improvement program of the National Science Foundation, award #DUE-9950476.
38. RVLS http://www.ruf.rice.edu/%7Elane/rvls.html.
39. SAKAI http://www.sakaiproject.org/.
40. SOCRWiki (2006). SOCR Wiki Resource, http://wiki.stat.ucla.edu/socr UCLA.
41. Stanton, C. (2005). Central Limit Theorem Applet.
42. Symanzik, J., & Vukasinovic, N. (2006). Teaching an Introductory Statistics Course with CyberStats, an Electronic Textbook. Journal of Statistics Education, 14.
43. TCEXAM TCExam Testbank: Http://sourceforge.net/projects/tcexam/.
44. Tijms, H. (2004). Understanding Probability: Chance Rules in Everyday Life: Cambridge: Cambridge University Press.
45. UCLAVOH (2006). http://voh.chem.ucla.edu/.
46. UCLAX (2006). UCLA Extension Online Courses, UCLA Extension: http://www.uclaextension.edu.
47. VirtualLabs http://www.math.uah.edu/stat/.
48. WebWork http://www.opensymphony.com/webwork.
49. West, R., & Ogden, R. (1998). Interactive Demonstrations for Statistics Education on the World Wide Web. Journal of Statistics Education, 6.
50. WikiBooks (2006). http://en.wikibooks.org/wiki/Blended_Learning_in_K-12.
51. Wild, C. (2006). The Concept of Distribution. Statistics Education Research Journal, 5, 10-25.