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Automated Generation of Equations for Linkage Loci in a Game Physics System

  • Computer Math Snapshots - Column Editor: Uri Wilensky*
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Notes

  1. Available at http://www.phunland.com/download/, the version used in this snapshot is beta 5.28.

  2. Search on January 22, 2014.

  3. ALEPH (http://nash.sip.ucm.es/ALEPH).

  4. Video demo available at http://nash.sip.ucm.es/ALEPH/Example3.html.

  5. Video demo available at http://nash.sip.ucm.es/ALEPH/Example1.html.

  6. Video demo available at http://nash.sip.ucm.es/ALEPH/Example6.html.

  7. Video demo available at http://nash.sip.ucm.es/ALEPH/Example2.html.

  8. LADucation (http://nash.sip.ucm.es/LAD/LADucation.html), LADucation for GeoGebra (http://nash.sip.ucm.es/LAD/LADucation4ggb/).

References

  • Botana, F., Abánades, M. A., & Escribano, J. (2011). Exact Internet accessible computation of paths of points in planar linkages and diagrams. Computer Applications in Engineering Education, 19, 835–841.

    Article  Google Scholar 

  • CoCoATeam. (1987). CoCoA: A system for doing computations in commutative algebra. http://cocoa.dima.unige.it. Accessed Jan 2014.

  • Escribano, J., Botana, F., & Abánades, M. A. (2010). Adding remote computational capabilities to dynamic geometry systems. Mathematics and Computers in Simulation, 80, 1177–1184.

    Article  Google Scholar 

  • Gao, X. S., Zhang, J. Z., & Chou, S. C. (1998). Geometry expert. Taiwan: Nine Chapters.

    Google Scholar 

  • González-López, M. J. (2001). Using dynamic geometry software to simulate physical motion. International Journal of Computers for Mathematical Learning, 6(2), 127–142.

    Article  Google Scholar 

  • Jackiw, N. (2002). The geometer’s sketchpad v 4.0. Berkeley: Key Curriculum Press.

    Google Scholar 

  • Richter-Gebert, J., & Kortenkamp, U. (1999). The interactive geometry software Cinderella. Berlin: Springer.

    Google Scholar 

  • Vincent, J., Chick, H., & McCrae, B. (2002). Mechanical linkages as bridges to deductive reasoning: A comparison of two environments. In Cockburn, A., & Nardi, E. (Eds.) Proceedings of the 26th conference of the international group for the psychology of mathematics education (Vol. 4, pp. 313–320). Norwich, UK: PME.

  • Wolfram, S. (1991). Mathematica: A system for doing mathematics by computer (2nd ed.). Redwood City, CA: Addison Wesley Longman.

    Google Scholar 

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Acknowledgments

The authors thank the reviewers for their helpful indications. This work has been partially funded by the Spanish Project MTM2011-25816-C02-00.

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Authors and Affiliations

  1. CES Felipe II, Universidad Complutense de Madrid, 28300, Aranjuez, Spain

    Miguel Á. Abánades

  2. Departamento de Matemática Aplicada I, Universidad de Vigo, Campus A Xunqueira, 36005, Pontevedra, Spain

    Francisco Botana

  3. Departamento de Sistemas Informáticos y Computación, Universidad Complutense de Madrid, 28040, Madrid, Spain

    Jesús Escribano

Authors
  1. Miguel Á. Abánades
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  2. Francisco Botana
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  3. Jesús Escribano
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Correspondence to Miguel Á. Abánades.

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This column will publish short (from just a few paragraphs to ten or so pages), lively and intriguing computer-related mathematics vignettes. These vignettes or snapshots should illustrate ways in which computer environments have transformed the practice of mathematics or mathematics pedagogy. They could also include puzzles or brain-teasers involving the use of computers or computational theory. Snapshots are subject to peer review. From the Column Editor Uri Wilensky, Northwestern University. E-mail: uri@northwestern.edu

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Abánades, M.Á., Botana, F. & Escribano, J. Automated Generation of Equations for Linkage Loci in a Game Physics System. Tech Know Learn 19, 317–326 (2014). https://doi.org/10.1007/s10758-014-9215-7

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  • DOI: https://doi.org/10.1007/s10758-014-9215-7

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