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Volumn 9, Issue 3, 2010, Pages 201-211

Mathematical manipulative models: In defense of "beanbag biology"

Author keywords

[No Author keywords available]

Indexed keywords

ANIMAL; ARTICLE; BIOLOGY; COMPUTER PROGRAM; COMPUTER SIMULATION; EDUCATION; EDUCATIONAL MODEL; FOX; GENETIC DRIFT; HUMAN; MATHEMATICS; POPULATION DENSITY; RABBIT; STUDENT;

EID: 77958617156     PISSN: None     EISSN: 19317913     Source Type: Journal    
DOI: 10.1187/cbe.10-03-0040     Document Type: Article
Times cited : (13)

References (47)
  • 1
    • 77958558196 scopus 로고
    • Access Excellence, Woodrow Wilson Biology Institute, (accessed 27 May 2010)
    • Access Excellence. (1995). Beans and Birds: A Natural Selection Simulation, Woodrow Wilson Biology Institute. www.accessexcellence.org/AE/AEPC/WWC/1995/beansbirds.php (accessed 27 May 2010).
    • (1995) Beans and Birds: A Natural Selection Simulation
  • 2
    • 28844457494 scopus 로고    scopus 로고
    • Mathematical modeling: The dynamics of infection
    • ed. K. E. Nelson, C. M. Williams, and N.M.H. Graham, Gaithersburg, MD: Aspen Publishers
    • Aron, J. L. (2000). Mathematical modeling: the dynamics of infection. In: Infectious Disease Epidemiology: Theory and Practice, Chapter 6, ed. K. E. Nelson, C. M. Williams, and N.M.H. Graham, Gaithersburg, MD: Aspen Publishers.
    • (2000) Infectious Disease Epidemiology: Theory and Practice, Chapter 6
    • Aron, J.L.1
  • 3
    • 77958525075 scopus 로고    scopus 로고
    • Population genetics and evolution: A simulation exercise
    • Tested Studies For Laboratory Teaching, ed. S. J. Karcher, (accessed 27 May 2010)
    • Barton, C. K. (2000). Population genetics and evolution: a simulation exercise. In: Tested Studies for Laboratory Teaching, Vol. 21. Proceedings of the 21st Workshop/Conference of the Association for Biology Laboratory Education, ed. S. J. Karcher, 113-134. www. ableweb.org/volumes/vol-21/6-barton.pdf (accessed 27 May 2010).
    • (2000) Proceedings of the 21st Workshop/Conference of the Association for Biology Laboratory Education , vol.21 , pp. 113-134
    • Barton, C.K.1
  • 4
    • 0028163142 scopus 로고
    • Fitting ecological and physiological data to rectangular hyperbolae: A comparison of methods using Monte Carlo simulations
    • Berges, J. A., Montagnes, D.J.S., Hurd, C. L., and Harrison, P. J. (1994). Fitting ecological and physiological data to rectangular hyperbolae: a comparison of methods using Monte Carlo simulations. Mar. Ecol. Prog. Ser. 114, 175-183.
    • (1994) Mar. Ecol. Prog. Ser. , vol.114 , pp. 175-183
    • Berges, J.A.1    Montagnes, D.J.S.2    Hurd, C.L.3    Harrison, P.J.4
  • 5
    • 44949109040 scopus 로고    scopus 로고
    • Commentary: The objection is sustained: A defence of the defense of beanbag genetics
    • Borges, R. M. (2008). Commentary: the objection is sustained: a defence of the defense of beanbag genetics. Int. J. Epidemiol. 37, 451-454.
    • (2008) Int. J. Epidemiol. , vol.37 , pp. 451-454
    • Borges, R.M.1
  • 6
    • 77958559282 scopus 로고    scopus 로고
    • A striking demonstration of the Poisson distribution
    • Buonaccorsi, V., and Skibiel, A. (2005). A striking demonstration of the Poisson distribution. Teach. Stat. 27, 8-10.
    • (2005) Teach. Stat. , vol.27 , pp. 8-10
    • Buonaccorsi, V.1    Skibiel, A.2
  • 7
    • 25844487845 scopus 로고
    • Irreproducible results and the breeding of pigs (or nondegenerate limit random variables in biology)
    • Cohen, J. E. (1976). Irreproducible results and the breeding of pigs (or nondegenerate limit random variables in biology). Bioscience 26, 391-394.
    • (1976) Bioscience , vol.26 , pp. 391-394
    • Cohen, J.E.1
  • 8
    • 14044279173 scopus 로고    scopus 로고
    • Mathematics is Biology's Next Microscope, Only Better; Biology is Mathematics' Next Physics, Only Better
    • Cohen, J. E. (2004). Mathematics is biology's next microscope, only better; biology is mathematics' next physics, only better. PLoS Biol. 2, e439.
    • (2004) PLoS Biol , vol.2
    • Cohen, J.E.1
  • 10
    • 84980182359 scopus 로고
    • Über die Statistik verketteter Vorgänge
    • Eggenberger, F., and Pólya, G. (1923). Über die Statistik verketteter Vorgänge. Z. Ang. Math. Mech. 3, 279-289.
    • (1923) Z. Ang. Math. Mech. , vol.3 , pp. 279-289
    • Eggenberger, F.1    Pólya, G.2
  • 11
    • 0031161143 scopus 로고    scopus 로고
    • Using manipulatives to teach quantitative concepts in ecology
    • Eyster, L. S., and Tashiro, J. S. (1997). Using manipulatives to teach quantitative concepts in ecology. Am. Biol. Teach. 59, 360-364.
    • (1997) Am. Biol. Teach. , vol.59 , pp. 360-364
    • Eyster, L.S.1    Tashiro, J.S.2
  • 12
    • 77958580481 scopus 로고    scopus 로고
    • Beanbag Population Genetics
    • (accessed 27 May 2010)
    • Froehlich, J. W., and London, M. R. (1996). Beanbag Population Genetics. Anthro Notes, vol. 18(2). http://anthropology.si.edu/outreach/Teaching_Activities/edpopula.html (accessed 27 May 2010).
    • (1996) Anthro Notes , vol.18 , Issue.2
    • Froehlich, J.W.1    London, M.R.2
  • 13
    • 70349647743 scopus 로고    scopus 로고
    • Optimal control applied to vaccination and treatment strategies for various epidemiological models
    • Gaff, H., and Schaefer, E. (2009). Optimal control applied to vaccination and treatment strategies for various epidemiological models. Math. Biosci. Eng. 6, 469-492.
    • (2009) Math. Biosci. Eng. , vol.6 , pp. 469-492
    • Gaff, H.1    Schaefer, E.2
  • 14
    • 0035529195 scopus 로고    scopus 로고
    • A test of hypotheses about random mutation: Using classic experiments to teach experimental design
    • Green, D. S., and Bozzone, D. M. (2001). A test of hypotheses about random mutation: using classic experiments to teach experimental design. Am. Biol. Teach. 63, 54-58.
    • (2001) Am. Biol. Teach. , vol.63 , pp. 54-58
    • Green, D.S.1    Bozzone, D.M.2
  • 16
    • 44949193623 scopus 로고    scopus 로고
    • A defense of beanbag genetics. 1964
    • Haldane, J. B. (2008). A defense of beanbag genetics. 1964. Int. J. Epidemiol. 37, 435-442.
    • (2008) Int. J. Epidemiol. , vol.37 , pp. 435-442
    • Haldane, J.B.1
  • 17
    • 77958606657 scopus 로고    scopus 로고
    • Rabbits and Foxes
    • (accessed 27 May 2010)
    • Hanna, J. (2010). Rabbits and Foxes. www.johnhanna.us/TI-nspire.htm (accessed 27 May 2010).
    • (2010)
    • Hanna, J.1
  • 18
    • 70350155177 scopus 로고    scopus 로고
    • The mean, the median, and the St. Petersburg paradox
    • Hayden, B. Y., and Platt, M. L. (2009). The mean, the median, and the St. Petersburg paradox. Judgm. Decis. Mak. 4, 256-272.
    • (2009) Judgm. Decis. Mak. , vol.4 , pp. 256-272
    • Hayden, B.Y.1    Platt, M.L.2
  • 20
    • 0008267792 scopus 로고    scopus 로고
    • Ten equations that changed biology: Mathematics in problem-solving biology curricula
    • (accessed 27 May 2010)
    • Jungck, J. R. (1997). Ten equations that changed biology: mathematics in problem-solving biology curricula. Bioscene: J. Coll. Biol. Teach. 23, 11-36. http://papa.indstate.edu/amcbt/volume_23 (accessed 27 May 2010).
    • (1997) Bioscene: J. Coll. Biol. Teach. , vol.23 , pp. 11-36
    • Jungck, J.R.1
  • 22
    • 77958553105 scopus 로고    scopus 로고
    • The BioQUEST Curriculum Consortium Redesign In Science Education (RISE)
    • ed. Beeth, M. E., Kwon, H., and, Lee, G. 20-21 October 2000, The Ohio State University, Columbus, OH. ERIC no. ED446979
    • Jungck, J. R., Stanley, E., Donovan, S., Soderberg P., and Vaughan, V. (2000b). The BioQUEST Curriculum Consortium. In: Redesign in Science Education (RISE). Proceedings of a Conference, ed. Beeth, M. E., Kwon, H., and, Lee, G. 20-21 October 2000, The Ohio State University, Columbus, OH. ERIC no. ED446979.
    • (2000) Proceedings of a Conference
    • Jungck, J.R.1    Stanley, E.2    Donovan, S.3    Soderberg, P.4    Vaughan, V.5
  • 23
    • 67651052308 scopus 로고    scopus 로고
    • Complex diseases, complex genes: Keeping pathways on the right track
    • Kraft, P., and Raychaudhuri, S. (2009). Complex diseases, complex genes: keeping pathways on the right track. Epidemiology 20, 508-511.
    • (2009) Epidemiology , vol.20 , pp. 508-511
    • Kraft, P.1    Raychaudhuri, S.2
  • 24
    • 77958579430 scopus 로고    scopus 로고
    • The distribution of mutations is the same as in the St. Petersburg game
    • New York: Oxford University Press
    • Leibovitch, L. S. (1998). The distribution of mutations is the same as in the St. Petersburg game. In: Fractals and Chaos: Simplified for the Life Sciences, New York: Oxford University Press, 94-95
    • (1998) Fractals and Chaos: Simplified for the Life Sciences , pp. 94-95
    • Leibovitch, L.S.1
  • 25
    • 0001641514 scopus 로고
    • Mutations of bacteria from virus sensitivity to virus resistance
    • Luria, S., and Delbrück, M. (1943). Mutations of bacteria from virus sensitivity to virus resistance. Genetics 28, 491-511.
    • (1943) Genetics , vol.28 , pp. 491-511
    • Luria, S.1    Delbrück, M.2
  • 28
    • 77958548337 scopus 로고    scopus 로고
    • Mark-Recapture
    • The Biological ESTEEM Project, (accessed 27 May 2010)
    • Panks, J., and Jungck, J. R. (2008). Mark-Recapture. The Biological ESTEEM Project. http://bioquest.org/esteem/esteem_details.php?product_id_14362 (accessed 27 May 2010).
    • (2008)
    • Panks, J.1    Jungck, J.R.2
  • 29
    • 77958551480 scopus 로고    scopus 로고
    • Evolve II. the BioQUEST Library OnLine
    • (accessed 27 May 2010)
    • Price, F., Vaughan, V., Umezaki, K., and Jungck, J. R. (2005). Evolve II. The BioQUEST Library OnLine. http://bioquest.org/BQLibrary/library_details.php?product_id_2367 (accessed 27 May 2010).
    • (2005)
    • Price, F.1    Vaughan, V.2    Umezaki, K.3    Jungck, J.R.4
  • 31
    • 77958541682 scopus 로고    scopus 로고
    • Polya Urn Experiment Computer Applet. Virtual Laboratories In Probability and Statistics
    • University of Alabama Huntsville Creative Commons license, (accessed 4 July 2010)
    • Siegrist, K. (2009). Polya urn experiment computer applet. Virtual Laboratories in Probability and Statistics. University of Alabama Huntsville Creative Commons license. www.math.uah.edu/stat/applets/PolyaExperiment.xhtml (accessed 4 July 2010).
    • (2009)
    • Siegrist, K.1
  • 32
    • 77958525076 scopus 로고    scopus 로고
    • SimBiotic Software, ed. E. Meir, Missoula, MT: SimBiotic Software for Teaching and Research, (accessed 21 June 2010)
    • SimBiotic Software (2010). EcoBeaker Labs, ed. E. Meir, Missoula, MT: SimBiotic Software for Teaching and Research. http://simbio.com/products-college/ecobeaker (accessed 21 June 2010).
    • (2010) EcoBeaker Labs
  • 33
    • 0345530848 scopus 로고    scopus 로고
    • An examination of problembased teaching and learning in population genetics and evolution using EVOLVE, a computer simulation
    • Soderberg, P., and Price, F. (2003). An examination of problembased teaching and learning in population genetics and evolution using EVOLVE, a computer simulation. Int. J. Sci. Educ. 25, 35-55.
    • (2003) Int. J. Sci. Educ , vol.25 , pp. 35-55
    • Soderberg, P.1    Price, F.2
  • 34
    • 0001456746 scopus 로고
    • Effects of manipulative materials in mathematics instruction
    • Sowell, E. (1989). Effects of manipulative materials in mathematics instruction. J. Res. Math. Educ. 20, 498-505.
    • (1989) J. Res. Math. Educ. , vol.20 , pp. 498-505
    • Sowell, E.1
  • 35
    • 77958533366 scopus 로고    scopus 로고
    • Striking Demonstrations In Teaching Statistics
    • (accessed 27 May 2010)
    • Sowey, E. R. (2001). Striking demonstrations in teaching statistics. www.amstat.org/publications/jse/v9n1/sowey.html (accessed 27 May 2010).
    • (2001)
    • Sowey, E.R.1
  • 36
    • 0024357990 scopus 로고
    • Differences in the rates of gene amplification in nontumorigenic and tumorigenic cell lines as measured by Luria-Delbruck fluctuation analysis
    • Tlsty, T. D., Margolin, B. H., and Lum, K. (1989). Differences in the rates of gene amplification in nontumorigenic and tumorigenic cell lines as measured by Luria-Delbruck fluctuation analysis. Proc. Natl. Acad. Sci. USA 86, 9441-9445.
    • (1989) Proc. Natl. Acad. Sci. USA , vol.86 , pp. 9441-9445
    • Tlsty, T.D.1    Margolin, B.H.2    Lum, K.3
  • 37
    • 0008779053 scopus 로고    scopus 로고
    • Epidemiology v. 2.5. Computer software and manual
    • ed. J. Jungck, N. S. Peterson, and J. Calley, New York: Academic Press (CD-ROM)
    • Udovic, D., and Goodwin, W. (1998) Epidemiology v. 2.5. Computer software and manual. In: BioQUEST: Quality Undergraduate Educational Simulations and Tools VI, ed. J. Jungck, N. S. Peterson, and J. Calley, New York: Academic Press (CD-ROM).
    • (1998) BioQUEST: Quality Undergraduate Educational Simulations and Tools VI
    • Udovic, D.1    Goodwin, W.2
  • 38
    • 0032086562 scopus 로고    scopus 로고
    • A Reed-Frost model of the spread of tuberculosis within seven Swedish extensive farmed fallow deer herds
    • Wahlström, H. et al. (1998). A Reed-Frost model of the spread of tuberculosis within seven Swedish extensive farmed fallow deer herds. Prev. Vet. Med. 35, 181-193.
    • (1998) Prev. Vet. Med. , vol.35 , pp. 181-193
    • Wahlström, H.1    et al2
  • 40
    • 77958519386 scopus 로고    scopus 로고
    • Deme 2.2. the Biological ESTEEM Project
    • (accessed 27 May 2010)
    • Weisstein, A. E., and Barnes, W. (2007). Deme 2.2. The Biological ESTEEM Project. http://bioquest.org/esteem/esteem_details.php?product_id_193 (accessed 27 May 2010).
    • (2007)
    • Weisstein, A.E.1    Barnes, W.2
  • 41
    • 77958544610 scopus 로고    scopus 로고
    • Luria-Delbrück
    • TheBiologicalESTEEMProject, (accessed 27 May 2010)
    • Weisstein, A. E., Jungck, J. R., and Green, D. (2005a). Luria-Delbrück. TheBiologicalESTEEMProject.http://bioquest.org/esteem/esteem_details.php?product_id_200 (accessed 27 May 2010).
    • (2005)
    • Weisstein, A.E.1    Jungck, J.R.2    Green, D.3
  • 42
    • 77958595798 scopus 로고    scopus 로고
    • DeFinetti 1.0
    • The Biological ESTEEM Project, (accessed 27 May 2010)
    • Weisstein, A. E., Louis, E. J., Johnson, T., and Jungck, J. R. (2005b). DeFinetti 1.0. The Biological ESTEEM Project. http://bioquest.org/esteem/esteem_details.php?product_id_204 (accessed 27 May 2010).
    • (2005)
    • Weisstein, A.E.1    Louis, E.J.2    Johnson, T.3    Jungck, J.R.4
  • 43
    • 77958552003 scopus 로고    scopus 로고
    • Two-Species Model
    • TheBiologicalESTEEMProject, (accessed 27 May 2010)
    • Weisstein, A. E., Salinas, R., and Jungck, J. R. (2005c). Two-Species Model.TheBiologicalESTEEMProject.http://bioquest.org/esteem/esteem_details.php?product_id_203 (accessed 27 May 2010).
    • (2005)
    • Weisstein, A.E.1    Salinas, R.2    Jungck, J.R.3
  • 45
    • 77958613488 scopus 로고    scopus 로고
    • Random Genetic Drift Chart. Upload
    • Wikimedia, (accessed 27 May 2010)
    • Wikimedia (2010). Random genetic drift chart. upload.wikimedia.org/wikipedia/commons/a/a0/Random_genetic_drift_chart.png (accessed 27 May 2010).
    • (2010)
  • 46
    • 0141877349 scopus 로고    scopus 로고
    • NetLogo
    • Center for Connected Learning and Computer-Based Modeling, Northwestern University, Evanston, IL
    • Wilensky, U. (1999). NetLogo. Center for Connected Learning and Computer-Based Modeling, Northwestern University, Evanston, IL. http://ccl.northwestern.edu/netlogo.
    • (1999)
    • Wilensky, U.1
  • 47
    • 0032760481 scopus 로고    scopus 로고
    • Progress of a half century in the study of the Luria-Delbrü ck distribution
    • Zheng, Q. (1999). Progress of a half century in the study of the Luria-Delbrü ck distribution. Math. Biosci. 162, 1-32.
    • (1999) Math. Biosci. , vol.162 , pp. 1-32
    • Zheng, Q.1


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