Mecanismos articulados: Geometría Dinámica y Cinemática en un entorno educativo STEM

• Autores: Francisco Javier Manzano Mozo, Melchor Gómez García , Jorge Mozo-Fernández
• Localización: Innoeduca: international journal of technology and educational innovation, ISSN-e 2444-2925, Vol. 3, Nº. 1, 2017, págs. 15-27
• Idioma: español
• DOI: 10.24310/innoeduca.2017.v3i1.1973
• Títulos paralelos:
  • Mechanical linkages: Dynamic Geometry and Kinematics on a STEM Educational environment
• Enlaces
  • Texto completo (pdf)
• Dialnet Métricas: 4 Citas
• Resumen
  • español

    Una propuesta concreta de uso de un Sistema de Geometría Dinámica en un entorno educativo STEM (Science, Technology, Engineering and Mathematics) en general y en la asignatura de Matemáticas en particular, consiste en el estudio, manipulación y generación de simulaciones digitales de mecanismos articulados.En este artículo recopilamos propuestas que  argumentan a favor del uso de modelos mecánicos o articulados de mecanismos, en particular los utilizados para dibujar o trazar curvas, como un medio de generación de ideas o nociones matemáticas complejas apoyados por las posibilidades de la Geometría Dinámica. Además, este enfoque supone un recurso muy efectivo para la introducción en el aula de contextos históricos de recreación de la experiencia científica.Presentamos dos repositorios digitales de mecanismos articulados, la Kinematics Models For Design Digital Library y el Laboratorio delle Macchine Matematiche así como una revisión de propuestas didácticas del uso educativo de este tipo de mecanismos.

  • English

    A concrete proposal for using a Dynamic Geometry System at an educational setting in a STEM environment (Science, Technology, Engineering and Mathematics) and, particularly, in the subject of Mathematics, consists on the generation and handling of digital simulations of mechanical linkages.Herein, in this article we collect proposals arguing for the teaching of mechanical models or articulated mechanisms and curve drawing devices in particular, as a path to apply complex mathematical ideas and notions which are based on Dynamic Geometry. In addition, this perspective constitute a powerful resource for the iniciation and reproduction of historical contexts of scientific experience in the classroom.We present two digital repositories of articulated mechanisms, the Kinematics Models For Design Digital Library and the Laboratorio delle Macchine Matematiche together with a review of educative proposals dealing with these mechanisms.

• Referencias bibliográficas
  • Abánades, M.Á., et al. (2014). An algebraic taxonomy for locus computation in dynamic geometry. Computer-Aided Design 56 22–33.
  • American Association for the Advancement of Science AAAS. (1993). Benchmarks for science literacy. New York: Oxford Press.
  • Artobolevskii, I. I. (1964). Mechanisms for the generation of plane curves. Pergamon.
  • Banks, F., & Barlex, D. (2014). Teaching STEM in the secondary school: Helping teachers meet the challenge. Routledge.
  • Bolt, B. (1992). Matemáquinas: la matemática que hay en la tecnología (1ª ed.) Barcelona: Labor.
  • Bryant, J., & Sangwin, C. (2011). How round is your circle?: where engineering and mathematics meet. Princeton University Press.
  • Bussi, M. G. B. (1998). Drawing instruments: Theories and practices from history to didactics. In Proceedings of the International Congress...
  • Bussi, M. G. B. et al. (2004, July). Learning Mathematics with tools. Paper presented at the 10th International Congress on Mathematical Education...
  • Bybee, R. W. (August 26, 2010) What Is STEM Education? Science 329 (5995), 996. [doi: 10.1126/science.1194998].
  • Bybee, R. W. (2013). The case for STEM education: Challenges and opportunities. National Science Teachers Association.
  • Cortés, J. C.; Soto Rodríguez, H. A. (2012). Uso de Artefactos Concretos en Actividades de Geometría Analítica: Una Experiencia con la Elipse....
  • De Villiers, M. (1998). An alternative approach to proof in Dynamic Geometry. In R. Lehrer and D. Chazan (Eds.), Designing Learning Environments...
  • Dennis, D. (1995). Historical perspectives for the reform of mathematics curriculum: Geometric curve drawing devices and their role in the...
  • Dennis, D. (2000). The role of historical studies in mathematics and science educational research. Handbook of research design in mathematics...
  • European Parliament. (2015). Encouraging STEM Studies for the Labour Market. Recuperado de: http://www.europarl.europa.eu/RegData/etudes/STUD/2015/542199/IPOL_STU(2015)542199_EN.pdf
  • Farouki, R. T. (2000). Curves from motion, motion from curves. CALIFORNIA UNIV DAVIS DEPT OF MECHANICAL AND AERONAUTICAL ENGINEERING.
  • Flórez, M., Carbonell, M. V., & Martínez, E. (2011). Design of Cycloids, Hypocycloids and Epicycloids Curves with Dynamic Geometry Software....
  • Fontes, F. L. (2012). Instrumentos virtuais de desenho e a argumentação em Geometria. (Dissertação de Mestrado em Ensino de Matemática). Universidade...
  • Gonzalez, H. B., & Kuenzi, J. J. (2012, August). Science, Technology, Engineering, and Mathematics (STEM) Education: A primer. Congressional...
  • Iriarte, X., Aginaga, J., & Ros, J. (2014). Teaching Mechanism and Machine Theory with GeoGebra. In New Trends in Educational Activity...
  • Jahnke, H. N., Arcavi, A., Barbin, E., Bekken, O., Furinghetti, F., El Idrissi, A., ... & Weeks, C. (2002). The use of original sources...
  • Laborde, C. et al. (2006) Teaching and learning Geometry with Technology. Handbook of research on the psychology of mathematics education:...
  • Manzano, F. J. (2016) Conicógrafos del Siglo XVII para la Educación Matemática del Siglo XXI. Revista TRIM, 10, pp. 47-60. Centro Tordesillas...
  • Marginson, S., Tytler, R., Freeman, B., & Roberts, K. (2013). STEM: country comparisons: international comparisons of Science, Technology,...
  • Moon, F. C. (2003). Franz Reuleaux: Contributions to 19th century kinematics and theory of machines. Applied Mechanics Reviews, 56(2), 261-285.
  • Mora Sánchez, J. A. (2007). Geometría Dinámica en Secundaria. Recuperado de http://jmora7.com/miWeb8/Archiv/2007%20Granada%20JAMora.pdf
  • OECD, (2007). PISA 2006: Science Competencies for Tomorrow’s World, Vol. 1.
  • OECD Publishing. (2012). Strengthening education for innovation . In OECD Science, Technology and Industry Outlook 2012 (pp. 206-208). OECD...
  • Peron, G. C., de Cássia Silva, R., de Araújo Nunes, M. A., & Oliveira, A. B. S. (2011). Dynamical Simulation of a Valvetrain Mechanism:...
  • Quevedo, J. (2005). Informales e interactivas: Theatrum Machinarum. Matemáquinas en el Museo Universitario de Módena. Suma: Revista sobre...
  • Reuleaux, F. (1885). The influence of the Technical Sciences upon General Culture. Columbia University, Henry Krumb School of Mines.
  • Rothwell, J. (2013). The hidden STEM Economy. Washington: Brookings Institution.
  • Sanchis, G. R. (2014). Historical Activities for the Calculus Classroom. - Module 1: Curve Drawing Then and Now," Convergence. June
  • Soto Rodríguez, H. A. (2010). Experimentación con un grupo de estudiantes de Bachillerato con hojas de trabajo relacionadas con la parábola...
  • Taimina, D., Pan, B., Gay, G., Saylor, J., Hembrooke, H., Henderson, D., ... & Paventi, C. (2007). Historical mechanisms for drawing curves....
  • Vincent, J., & McCrae, B. (2000). Mechanical Linkages, Dynamic Geometry Software and Mathematical Proof. In Proceedings of the International...
  • Vincent, J. (2003). Mathematical reasoning in a technological environment. Informatics in Education-An International Journal, (Vol 2_1), 139-150.
  • Yates, R. C. (1941) Geometrical Tools: A Mathematical Sketch and Model Book. Educational Publishers.
  • Zavala, J. C. C., & Rodríguez, H. A. S. (2012). Uso de artefactos concretos en actividades de Geometría Analítica: una experiencia con...
  • Zimmermann, W., & Cunningham, S. (1991). Editor’s introduction: What is mathematical visualization. Visualization in teaching and learning...