Advertisement

Using Concept Maps and Gowin’s Vee to Understand Mathematical Models of Physical Phenomena

  • Maria S. Ramírez De Mantilla
  • Mario Aspée
  • Irma Sanabria
  • Neyra Tellez
Chapter

The fundamental presence of mathematics in the development and comprehension of physics and its applications in physics learning has many forms. Beyond being an indispensable component in the definition of metric concepts that express physical magnitudes, it allows the construction of mathematical models to represent multiple physical phenomena. Mathematical models have several applications in physics. First year physics students often ignore the important role mathematics and particularly mathematical models play in the learning of physics. Students limit themselves to the use of a menu of equations often misunderstood as a set of “cook-book” procedures applied to solve physics problems, without a real understanding of the reason for using a particular function or model to solve a problem. This chapter reflects on the outcome of a research project undertaken at “Universidad Nacional del Táchira” (UNET), Venezuela, which focuses on the different ways teachers and students could use concept mapping and Gowin’s Vee for the mathematical modelling of physical phenomena. We have designed a strategy for the teaching and learning of mathematical models most used in first year physics courses. This strategy uses concept maps to improve understanding of basic conceptual structures involved in the mathematical modelling process of physical phenomena, and Gowin´s Vee as a tool that facilitates the process of building a student’s own knowledge of a mathematical model for a particular experiment.

Keywords

Physical Phenomenon Qualitative Model Physic Student Focus Question Heuristic Tool 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

References

  1. Afamasaga-Fuata’i, K. (2006). Developing a more conceptual understanding of matrices and systems of linear equations through concept mapping and Vee diagrams. Focus on Learning Problems in Mathematics, Summer, 28(3 & 4), 58–89.Google Scholar
  2. Bunge, M. (1997) Teoría y Realidad. Barcelona: Ariel.Google Scholar
  3. Cañas, A. J., Safayeni, F., & Derbentseva, N. (2004). Concept maps: A theoretical note on concepts and the need for cyclic concept maps. Retrieved December 10, 2004, from University of West Florida, Institute for Human and Machine Cognition Web site: http://cmap.ihmc.us/Publications/ResearchPapers/Cyclic%20Concept%20Maps.pdf
  4. Feynman, R. (1970). Lectures on physics. Massachussets: Adison-Wesley.Google Scholar
  5. First International Congress on Concept Mapping (CMC) (2004) Proceedings of the CMC. Retrieved January 09, 2005, from University of West Florida, Institute for Human and Machine Cognition Web site: http://cmc.ihmc.us/CMC2004Programa.html
  6. Hertz, H. (1900) The principles of mechanics presented in a new form. USA: Dover.Google Scholar
  7. Novak, J. D., & Gowin, D. B. (1988). Aprendiendo a aprender. Barcelona: Martínez Roca.Google Scholar
  8. Ramírez de M. M. (2005). El Mapa Conceptual como Herramienta Heurística para facilitar el Aprendizaje. San Cristóbal: Unet Fondo Editorial.Google Scholar
  9. Ramírez de M. M., Aspeé, M., & Sanabria, I. (2006). Concept maps: An essential tool for teaching and learning to learn science. Focus on Learning Problems in Mathematics, Summer, 28 (3 & 4), 32–57.Google Scholar
  10. Ramírez de M. M., & Sanabria I. (2004). El Mapa Conceptual como Elemento Fundamental en el Proceso de Enseñanza-Aprendizaje de la Física a Nivel Universitario. Retrieved December 03, 2004, from University of West Florida, Institute for Human and Machine Cognition Web site: http://cmc.ihmc.us/papers/cmc2004-086.pdf
  11. Sanabria, I., & Ramírez de M. M. (2006). Una estrategia instruccional para el laboratorio de física I usando la “V de Gowin”. Revista Mexicana de Física S, 52(3), 22–25.Google Scholar
  12. Second International Congress on Concept Mapping (CMC) (2006). Proceedings of the CMC. Retrieved February 02, 2008, from University of West Florida, Institute for Human and Machine Cognition Web site: http://cmc.ihmc.us/CMC2004Programa.html

Copyright information

© Springer Science+Business Media, LLC 2009

Authors and Affiliations

  • Maria S. Ramírez De Mantilla
    • 1
  • Mario Aspée
  • Irma Sanabria
  • Neyra Tellez
  1. 1.Universidad, Nacional Experimental del TáchiraSan CristóbalEstadoVenezuela

Personalised recommendations