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Building Mathematical Models and Biological Insight in anIntroductory Biology Course

Published online by Cambridge University Press:  05 October 2011

A. E. Weisstein
A. E. Weisstein*
Affiliation:
Department of Biology, Truman State University, Kirksville, Missouri 63501, USA
*
⋆ E-mail: [email protected]
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Abstract

A growing body of literature testifies to the importance of quantitative reasoning skillsin the 21st-century biology curriculum, and to the learning benefits associated withactive pedagogies. The process of modeling a biological system provides an approach thatintegrates mathematical skills and higher-order thinking with existing course contentknowledge. We describe a general strategy for teaching model-building in an introductorybiology course, using the example of a model of an infectious disease outbreak.Preliminary assessment data suggest that working through the formal process of modelconstruction may help students develop their scientific reasoning and communicationskills.

Keywords

mathematical modelingeducationmathematical biologyepidemiology
Type
Research Article
Information
Mathematical Modelling of Natural Phenomena , Volume 6 , Issue 6: Biomathematics Education , 2011 , pp. 198 - 214
Copyright
© EDP Sciences, 2011

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References

J. Bransford, J. Franks, N. Vye, R. Sherwood (1989). New Approaches to Instruction: Because Wisdom Can’t be Told. In S. Vosiadou & A. Ortony (Eds.), Similarity and Analogical Reasoning (pp. 470–497). New York: Cambridge University Press.
Burrowes, P.. A student-centered approach to teaching general biology that really works: Lord’s constructivist model put to a test. Am. Biol. Teach., 65 (2003), No. 7, 491–502. CrossRefGoogle Scholar
Centers for Disease Control (2004). Smallpox Fact Sheet: Vaccine Overview. Available online at  ⟨ http://www.bt.cdc.gov/agent/smallpox/vaccination/facts.asp ⟩ ; last accessed on 1/20/2011.
H. Ewing, K. Hogan, F. Keesing, H. Bugmann, A. Berkowitz, L. Gross, J. Oris, J. Wright (2003). “The role of modeling in undergraduate education”. Pages 413427 in Canham CD, Cole JJ, Laurenroth WK, eds. Models in Ecosystem Science. Princeton (NJ): Princeton University Press.
S. Freeman. Biological Science, 4th edition. Pearson Benjamin Cummings, San Francisco, 2011.
Hake, R.. Interactive-engagement versus traditional methods: A six-thousand-student survey of mechanics test data for introductory physics courses. Am. J. Phys., 66 (1998), No. 1, 64–74. CrossRefGoogle Scholar
Hodder, J., Ebert-May, D., and Batzli, J.. Coding to analyze students’ critical thinking. Front. Ecol. Environ., 4 (2006), No. 3, 162–163. CrossRefGoogle Scholar
G. Johnson (2005). “Infectious Disease and Bioterrorism.” In PH Raven, GB Johnson, J Losos, and S Singer, Biology, 7th edition (Enhancement Chapter 33e). New York, NY: McGraw-Hill.
J. Jungck (2005). “Challenges, Connections, Complexities: Educating for Collaboration”. Pages 1–12 in Math and Bio 2010: Linking Undergraduate Disciplines (ed. LA Steen).
Jungck, J. and Calley, J.. Strategic simulations and post-Socratic pedagogy: Constructing computer software to develop long-term inference through experimental inquiry. Am. Biol. Teach., 47 (1985), No. 1, 11–15. CrossRefGoogle Scholar
K. Kastens (2002). My Top Ten Topics in Geoscience Education Research, for a conference on “Bringing Research on Learning to the Geosciences.” http://serc.carleton.edu/files/research_on_learning/KKtopten.pdf (accessed 1/17/2011).
Kermack, W. and McKendrick, A.. A contribution to the mathematical theory of epidemics. Proc. Roy. Soc. Lond. A, 115 (1927), No. 772, 700–721. CrossRefGoogle Scholar
Kitchen, E., Bell, J., Reeve, S., Sudweeks, R., Bradshaw, W.. Teaching cell biology in the large-enrollment classroom: Methods to promote analytical thinking and assessment of their effectiveness. Cell Biol. Educ., 2 (2003), No. 3, 180–194. CrossRefGoogle ScholarPubMed
Knight, J. and Wood, W.. Teaching more by lecturing less. Cell Biol. Educ., 4 (2005), No. 4, 298–310. CrossRefGoogle ScholarPubMed
Lauenroth WK, Burke IC, and Berry JK (2003). “The Status of Dynamic Quantitative Modeling in Ecology”. Pages 32–48 in Canham CD, Cole JJ, Laurenroth WK, eds. Models in Ecosystem Science. Princeton (NJ): Princeton University Press.
Meltzer, M., Damon, I., LeDuc, J., Millar, J.. Modeling Potential Responses to Smallpox as a Bioterrorist Weapon. Emerg. Infect. Dis., 7 (2001), No. 6, 959–969. CrossRefGoogle ScholarPubMed
National Research Council. Bio 2010: Transforming Undergraduate Education for Future Research Biologists. National Academies Press, Washington D.C., 2003.
J. Reece, L. Urry, M. Cain, S. Wasserman, P. Minorsky, and R. Jackson. Campbell Biology, 9th edition. Pearson Benjamin Cummings, San Francisco, 2010.
SENCER: Science Education for New Civic Engagements and Responsibilities.  ⟨ www.sencer.net ⟩ . Accessed 13 January 2011.
Trempy, J., Skinner, M., Siebold, W.. Learning microbiology through cooperation: Designing cooperative learning activities that promote interdependence, interaction, and accountability. Microbiol. Educ., 3 (2002), No. 1, 26–36. CrossRefGoogle ScholarPubMed
Turner, MG (2003). “Modeling for Synthesis and Integration: Forests, People, and Riparian Coarse Woody Debris”. Pages 83–110 in Canham CD, Cole JJ, Laurenroth WK, eds. Models in Ecosystem Science. Princeton (NJ): Princeton University Press.
Udovic, D., Morris, D., Dickman, A., Postlethwait, J., Wetherwax, P.. Workshop Biology: Demonstrating the effectiveness of active learning in an introductory biology course. BioScience, 52 (2002), No. 3, 272–281. CrossRefGoogle Scholar