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Law of Large Numbers: the Theory, Applications and Technology-based Education
Ivo D Dinov1, Nicolas Christou, Robert Gould
1Department of Statistics and Center for Computational Biology University of California, Los Angeles Los Angeles, CA 90095 Tel. 310-267-5075 Dinov@stat.ucla.edu.
This study introduces a technology-based approach to teach the Law of Large Numbers (LLN) in statistics. Interactive tools enhance student understanding and retention of probability concepts.
Area of Science:
- Statistics Education
- Computational Statistics
Background:
- Blended education leverages technology for enhanced learning.
- Probability and statistics courses benefit from interactive computational resources.
Purpose of the Study:
- To integrate technology for teaching the Law of Large Numbers (LLN).
- To improve student comprehension and retention of LLN principles through interactive tools.
Main Methods:
- Developed a Java applet and demonstration activity for LLN.
- Integrated pedagogical instruments with Statistics Online Computational Resource (SOCR) libraries.
Main Results:
- The interactive applet and activity visually represent the LLN.
- The tools aim to build student intuition and address common misconceptions about LLN.
Conclusions:
- Technology-driven blended learning can effectively teach complex statistical concepts like LLN.
- Freely available online resources facilitate wider adoption and validation of these educational tools.
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