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Modeling Random Binomial Rabbit Hops
Date
2010-01-01
Author
Kazak, Sibel
Metadata
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Six fourth-grade students engaged in data modeling to make sense of the pattern of variability in binomial distributions. The students modeled five random rabbit-hops by tossing a fair coin to determine the most likely locations of the rabbits along a number line ranging from -5 to +5. To make sense of their empirical distributions, the students generated inscriptions of "paths" showing the possible ways to get to each final location and used these both to prove why certain locations were impossible and why central locations were more likely than extreme ones. Using the Net Logo Model (Wilensky, 1998) also helped some students to notice a particular distribution shape (i.e., a symmetric mound shape) in large number of trials. One student, for example, used the results of the Net Logo simulation to explain the distribution shape and to quantify the probability distribution in terms of the "number of ways" the events could occur.
URI
https://hdl.handle.net/11511/100858
DOI
https://doi.org/10.1007/978-1-4419-0561-1_49
Conference Name
13th International Conference on Teaching of Mathematical Modelling and Applications (ICTMA 13)
Collections
Department of Mathematics and Science Education, Conference / Seminar
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S. Kazak, “Modeling Random Binomial Rabbit Hops,” presented at the 13th International Conference on Teaching of Mathematical Modelling and Applications (ICTMA 13), Indiana, Amerika Birleşik Devletleri, 2010, Accessed: 00, 2022. [Online]. Available: https://hdl.handle.net/11511/100858.