Fundamentos de diseño de un entorno tecnológico para el estudio de las habilidades en resolución de problemas en primeras edades escolares
- Diago, Pascual D. 1
- González-Calero, José A. 2
- Arnau, David 1
-
1
Universitat de València
info
-
2
Universidad de Castilla-La Mancha
info
ISSN: 2659-9031
Argitalpen urtea: 2019
Zenbakia: 22
Orrialdeak: 58-76
Mota: Artikulua
Beste argitalpen batzuk: Research in Education and Learning Innovation Archives. REALIA
Laburpena
En este trabajo se presentan los fundamentos de diseño de un softwarecapaz de monitorizar y registrar datos referentes a la gestión de procesos de resolución de problemas matemáticos. El softwarepermite una recogida sistemática de las variables del proceso de resolución a partir de las cuales es posible obtener diferentes métricas de aprendizaje del estudiante. Al no centrar la atención exclusivamente en el resultado final del proceso de resolución, es posible identificar tendencias cognitivas de los estudiantes. En este manuscrito describimos las características de este entorno tecnológico junto con la base didáctica que justifica el interés de la investigación en niveles escolares en los que el escaso conocimiento limita la formalización de situaciones de resolución de problemas. Se adjuntan los primeros resultados de un estudio piloto que ha permitido evaluar fortalezas y debilidades de la versión en desarrollo. Finalmente, se discute sobre futuras direcciones para este entorno tecnológico como un paso más tanto en innovación como en investigación en Educación Matemática.
Finantzaketari buruzko informazioa
Este trabajo ha contado con el apoyo de los proyectos UV-SFPIE_GER18-848319 (Universitat de València) y EDU2017-84377-R (MINECO/FEDER) y del programa propio de ayudas a investigación de la Universitat de València (Estancias de PDI, 2019).Finantzatzaile
-
Universitat de València
Spain
- UV-SFPIE_GER18-848319
-
MINECO
Spain
- EDU2017-84377-R
-
FEDER
- EDU2017-84377-R
Erreferentzia bibliografikoak
- Arnau, D., Arevalillo-Herráez, M., Puig, L., y González-Calero, J. (2013). Fundamentals of the design and the operation of an intelligent tutoring system for the learning of the arithmetical and algebraic way of solving word problems. Computers and Education, 63, 119–130. https://doi.org/10.1016/j.compedu.2012.11.020
- Beal, C. (2013). AnimalWatch: An intelligent tutoring system for algebra readiness. En R. Azevedo y V. Aleven (Eds.), International Handbook of Metacognition and Learning Technologies. Springer International Handbooks of Education (Vol. 28, pp. 337–348). New York: Springer. https://doi.org/10.1007/978-1-4419-5546-3_22
- Beatty, R., y Geiger, V. (2010). Technology, Communication, and Collaboration: Re-thinking Communities of Inquiry, Learning and Practice. En C. Hoyles y J. Lagrange (Eds.), Mathematics Education and Technology-Rethinking the Terrain(New ICMI Study Series ed., Vol. 13, pp. 251–284). Boston: Springer. http://doi.org/10.1007/978-1-4419-0146-0
- Bers, M. U., Flannery, L., Kazakoff, E. R., y Sullivan, A. (2014). Computational thinking and tinkering: Exploration of an early childhood robotics curriculum. Computers and Education, 72, 145–157. https://doi.org/10.1016/j.compedu.2013.10.020
- Bers, M. U., Seddighin, S., y Sullivan, A. (2013). Ready for Robotics: Bringing Together the T and E of STEM in Early Childhood Teacher Education. Journal of Technology and Teacher Education, 21(3), 355–377.
- Bienkowski, M., Feng, M., y Means, B. (2012). Enhancing Teaching and Learning Through Educational Data Mining and Learning Analytics: An Issue Brief (U. D. of Education, Ed.). Descargado de https://tech.ed.gov/wp-content/uploads/2014/03/edm-la-brief.pdf
- Brownell, W. A. (1942). Problem Solving. En B. Henry (Ed.), The forty-first yearboo National Society for the Study of Education: Part 2, The psychology of learning Chicago: University of Chicago Press.
- Caballé, S., y Clarisó, R. (Eds.). (2016).Formative Assessment, Learning Data Analytics and Gamification in ICT Education. London: UK: Academic Press. https://doi.org/10.1016/C2015-0-00087-9
- Chang, K. E., Sung, Y. T., y Lin, S. F. (2006). Computer-assisted learning for mathematical problem solving. Computers and Education, 46(2), 140–151. https://doi.org/10.1016/j.compedu.2004.08.002
- Chao, P. Y. (2016). Exploring students’ computational practice, design and performance of problem-solving through a visual programming environment. Computers and Education, 95, 202–2015. https://doi.org/10.1016/j.compedu.2016.01.010
- Clements, D. H. (1986). Logo and cognition: A theoretical foundation. Computers in Human Behavior, 2, 95–110.
- Coxon, S. V. (2012). The malleability of spatial ability under treatment of a FIRST LEGO league-based robotics simulation. Journal for the Education of the Gifted, 35(3), 291–316. https://doi.org/10.1177/0162353212451788
- Diago, P. D., Arnau, D., y González-Calero, J. A. (2018a). Desarrollo del pensamiento computacional en Educación Infantil mediante la resolución de problemas en entornos tecnológicos. En R. Cózar y J. A. González-Calero (Eds.), Tendencias y tecnologías emergentes en investigación e innovación educativa (pp. 197–214). Barcelona: Editorial GRAÓ.
- Diago, P. D., Arnau, D., y González-Calero, J. A. (2018b). Elementos de resolución de problemas en primeras edades escolares con Bee-bot. Edma 0-6: Educación Matemática en la Infancia, 7 (1), 12–41. Descargado de http://www.edma0-6.es/index.php/edma0-6/article/view/49
- Diago, P. D., Arnau, D., y González-Calero, J. A. (2018c). La resolución de problemas matemáticos en primeras edades escolares con Bee-bot. Matemáticas, Educación y Sociedad, 1(2), 36–50.
- Drachsler, H., y Kalz, M. (2016). The MOOC and learning analytics innovation cycle (MOLAC): A reflective summary of ongoing research and its challenges. Journal of Computer Assisted Learning,32(3), 281–290. https://doi.org/10.1111/jcal.12135
- Drijvers, P., Kieran, C., Mariotti, M. A., Ainley, J., Andresen, M., Cheung, Y., … Meagher, M. (2010). Integrating Technology into Mathematics Education: Theoretical Perspectives. En C. Hoyles y J. Lagrange (Eds.), Mathematics Education and Technology. Rethinking the Terrain (Vol. 13, pp. 89–132). Boston: Springer.https://doi.org/10.1007/978-1-4419-0146-0_7
- Freeman, A., Adams-Becker, S., Cummins, M., Davis, A., y Hall-Giesinger, C. (2017). NMC/CoSN Horizon Report:2017 K-12 Edition. Austin, Texas: The New Media Consortium. Descargado de http://doi.org/978-0-9988650-3-4
- Fuglestad, A., Healy, L., Kynigos, C., y Monaghan, J. (2010). Working with Teachers: Context and Culture. En C. Hoyles y J. Lagrange (Eds.), Mathematics Education and Technology. Rethinking the Terrain (pp. 293–310). New York: Springer. http://doi.org/10.1007/978-1-4419-0146-0
- Gaudiello, I., y Zibetti, E. (2016). Learning Robotics: Users’ Representation of Robots. En I. Gaudiello y E. Zibetti (Eds.), Learning Robotics, with Robotics, by Robotics: Educational Robotics (Vol. 3, pp. 1–41). John Wiley & Sons, Inc. https://doi.org/10.1002/9781119335740.ch1
- González-Calero, J. A., Cózar, R., Villena, R., y Merino, J. M. (2018). The development of mental rotation abilities through robotics-based instruction: An experience mediated by gender. British Journal of Educational Technology, Advance Online Publication, 1–16.https://doi.org/10.1111/bjet.12726
- Grover, S., Pea, R., y Cooper, S. (2015). Designing for deeper learning in a blended computer science course for middle school students. Computer Science Education, 25(2), 199–237. https://doi.org/10.1080/08993408.2015.1033142
- Heffernan, N. T., y Koedinger, K. R. (2000). Intelligent tutoring systems are missing the tutor: building a more strategic dialog-based tutor. En C. Rose y R. Freedman (Eds.), Building dialogue systems for tutorial applications; papers of the 2000 AAAI fall symposium (pp. 14–19). AAAI Press: Menlo Park. Descargado de http://pact.cs.cmu.edu/koedinger/pubs/Heffernan%20&%20Koedinger%2000.pdf
- Hitt, F., Saboya, M., y Cortés, C. (2017). Task design in a paper and pencil and technological environment to promote inclusive learning: An example with polygonal numbers. En F. Aldon, F. Hitt, L. Bazzini, y U. Gellert (Eds.), Mathematics and Technology (pp. 13–30). Cham, Switzerland: Springer International Publishing. Descargado de https://doi.org/10.1007/978-3-319-51380-5
- Hoyles, C., y Lagrange, J. (Eds.). (2010).Mathematics Education and Technology-Rethinking the Terrain: The 17th ICMI Study. New York: Springer. 10.1007/978-1-4419-0146-0
- Julià, C., y Antolí, J. (2018). Enhancing spatial ability and mechanical reasoning through a STEM course. International Journal of Technology and Design Education, 28(4), 957–983. https://doi.org/10.1007/s10798-017-9428-x
- Kilpatrick, J. (1978). Variables and Methodologies in Research on Problem Solving. En L. L. Hatfield y D. A. Bradbard (Eds.), Mathematical Problem Solving: Papers from a Research Workshop (pp. 7–20). Columbus, Ohio: ERIC/SMEAC.
- Kilpatrick, J. (1985). A retrospective account of the past 25 years of research on teaching mathematical problem solving. En E. A. Silver (Ed.), Teaching and Learning Mathematical Problem Solving. Multiple Research Perspectives (pp. 1–15). Mahwah, NJ: Lawrence Erlbaum Associates. https://doi.org/10.4324/9780203063545
- Mah, D. (2016). Learning Analytics and Digital Badges: Potential Impact on Student Retention in Higher Education. Technology, Knowledge and Learning,21(3), 285–305. http://dx.doi.org/10.1007/s10758-016-9286-8
- McArthur, D. J., y Lewis, M. W. (1998). Untangling the Web: Applications of the internet and other information technologies to higher education. Santa Monica, CA: RAND Corporation.
- Nathan, M. J. (1998). Knowledge and situational feedback in a learning environment for algebra story problem solving. Interactive Learning Environments, 5(1), 135–159. https://doi.org/10.1080/1049482980050110
- NCTM. (2000). National Council of Teachers of Mathematics. Reston, VA: National Council of Teachers of Mathematics.
- Papert, S. (1980). Mindstorms: Children, Computers and Powerful Ideas. New York: Basic Books Publishers.
- Papert, S. (1991). Situating constructionism. En S. Papert y I. Harel (Eds.), Constructionism (pp. 1–11). Norwood, NJ: Ablex. Descargado de http://www.papert.org/articles/SituatingConstructionism.html
- Papert, S. (1996). An exploration in the space of mathematics educations. International Journal of Computers for Mathematical Learning,1(1), 95–123. Descargado de http://www.papert.org/articles/AnExplorationintheSpaceofMathematicsEducations.html
- Pólya, G. (1945). How to Solve It. A New Aspect of Mathematical Method. Princeton, NJ: Princeton University Press.
- Rakes, C. R., Valentine, J. C., McGatha, M. B., y Ronau, R. N. (2010). Methods of Instructional Improvement in Algebra. Review of Educational Research, 80(3), 372–400. Descargado de https://www.jstor.org/stable/40927286
- Reusser, K. (1993). Tutoring systems and pedagogical theory: representational tools for understanding, planning, and reflection in problem solving. En S. Lajoie y S. Derry (Eds.), Computers as cognitive tools (pp. 143–177). Hillsdale, NJ: Lawrence Erlbaum Associates.
- Schoenfeld, A. H. (1992). Learning to think mathematically: Problem solving, metacognition, and sense making in mathematics. En D. A. Grouws (Ed.),Handbook of research on mathematics teaching and learning. A Project of the National Council of Teachers of Mathematics (pp. 334–370). Reston, VA: National Council of Teachers of Mathematics.
- Shute V. J., Sun, C., y Asbell-Clarke, J. (2017). Demystifying computational thinking. Educational Research Review, 22, 142–158.https://doi.org/10.1016/j.edurev.2017.09.003
- Viberg, O., Hatakka, M., Bälter, O., y Mavroudi, A. (2018). The current landscape of learning analytics in higher education. Computers in Human Behavior, 89 , 98–110. https://doi.org/10.1016/j.chb.2018.07.027
- Weber, K., y Leikin, R. (2016). Recent advances in research on problem solving and problem posing. En A. Gutiérrez, G. Leder, y P. Boero (Eds.), The Second Handbook of Research on the Psychology of Mathematics Education (pp. 353–382). Rotterdam: Sense Publishers. https://doi.org/10.1007/978-94-6300-561-6_10
- Weintrop, D., y Wilensky, U. (2015). To Block or not to Block, That is the Question: Students’Perceptions of Blocks-based Programming. Proceedings of IDC 2015: The 14thn Design and Children (pp. 199–208). Association for Computing Machinery, Inc. Descargado de https://doi.org/10.1145/2771839.2771860