Learning Itineraries to Work Mathematic Probability with Future Teachers in an Online Scenario with Deck.Toys Tool

  1. Lara Orcos Palma 1
  2. Cristina Jiménez Hernández 2
  3. Ángel Alberto Magreñán Ruiz 3
  1. 1 Universidad Internacional de La Rioja, España
  2. 2 Universitat Politècnica de València, España
  3. 3 Universidad de La Rioja, España
Journal:
RIED: revista iberoamericana de educación a distancia

ISSN: 1138-2783

Year of publication: 2022

Volume: 25

Issue: 2

Pages: 195-218

Type: Article

DOI: 10.5944/RIED.25.2.31748 WoS: WOS:000824538600027 DIALNET GOOGLE SCHOLAR lock_openOpen access editor

More publications in: RIED: revista iberoamericana de educación a distancia

Institutional repository: lock_openOpen access Editor

Abstract

The work of Probability from the Compulsory Secondary Education stage and during the Baccalaureate is not generally contextualised and is, mainly, based on the rote learning of formulas. Therefore, when students arrive at university, a significant lack of knowledge related to the calculation of probabilities is evident. Teachers have to advocate for classroom strategies that help students to achieve lasting and contextualized learning and, even more, in areas such as Probability. This paper presents the design of a didactic proposal based on the use of gamified learning itineraries utilizing Deck.Toys digital tool for the learning of Probability in a sample of students of the Primary Education Degree who worked on an online environment. For this analysis, the outcomes obtained in two tests, initial and final, are collected in an experimental group that has used the tool and compared with those of a control group that worked in a traditional way. Moreover, the data of a survey of the evaluation of the user experience was also analysed. The results gained have been very satisfactory, the tests of comparison of means in the post-test shows a significant difference of 2.704 points more in the experimental group, taking into account that both groups were homogeneous. Likewise, the results of the satisfaction survey have been positive in terms of improving the understanding of both the procedures and the concepts involved on time management since students have been able to work at their own rhythm in an efficient way.

Bibliographic References

  • Agreda, M., Ortiz-Colón, A., Aznar, I., & Rodríguez, F. J. (2019). Herramientas digitales para el diseño de “escape rooms” virtuales en educación superior. In M. Greenberger, (Ed.), EDUcación con TECnología. Un compromiso social: aproximaciones desde la investigación y la innovación (pp. 94-101). Edicions de la Universitat de Lleida; Asociación EDUTEC.
  • Agudelo, O. L., & Ibáñez, J. (2015). Flexible learning itineraries based on conceptual maps. Journal of New Approaches in Educational Research, 4(2), 70-76. https://doi.org/10.7821/naer.2015.7.130
  • Alsina, Á. (2017). Contextos y propuestas para la enseñanza de la estadística y la probabilidad en Educación Infantil: un itinerario didáctico. Revista Épsilon, 34(95), 25-48.
  • Alsina, Á., & Salgado, M. (2019). Ampliando los conocimientos matemáticos en Educación Infantil: la incorporación de la probabilidad. Revista de estudios y experiencias en educación, 18(36), 225-240. https://doi.org/10.21703/rexe.20191836alsina6
  • Arkorful, V., & Abaidoo, N. (2015). The role of e-learning, advantages and disadvantages of its adoption in higher education. International Journal of Instructional Technology and Distance Learning, 12(1), 29-42.
  • Ausubel, D. P., Novak, J. D., & Hanesian, H. (1968). Educational psychology: A cognitive view. Holt, Rinehart and Winston.
  • Batanero, C., Godino, J. D., & Roa, R. (2004). Training teachers to teach probability. Journal of statistics Education, 12(1), 1-15. https://doi.org/10.1080/10691898.2004.11910715
  • Batanero, C., Chernoff, E. J., Engel, J., Lee, H. S., & Sánchez, E. (2016). Research on teaching and learning probability. Springer Nature. https://doi.org/10.1007/978-3-319-31625-3
  • Benavides-Varela, S., Zandonella, C., Fagiolini, B., Leo, I., Altoè, G., & Lucangeli, D. (2020). Effectiveness of digital-based interventions for children with mathematical learning difficulties: A meta-analysis. Computers & Education, 157, 103853. https://doi.org/10.1016/j.compedu.2020.103953
  • Biswas, P., & Debnath, A. K. (2020). Worldwide Scenario of Unplanned Transition to E-learning in the Time of COVID-19 and Students’ Perception: A Review. Mukt Shabd Journal, 9(6), 2038-2043.
  • Bozkurt, A. (2019). From distance education to open and distance learning: A holistic evaluation of history, definitions, and theories. In S. Sisman-Ugur and G. Kurubacak, (Eds.), Handbook of Research on Learning in the Age of Transhumanism (pp. 252-273). IGI Global. https://doi.org/10.4018/978-1-5225-8431-5.ch016
  • Campbell, D. T., & Stanley, J. C. (2015). Experimental and quasi-experimental designs for research. Ravenio Books.
  • Campos, R. A., & Hernández, M. J. (2020). Design of Blended Learning Personalized Itineraries for Higher Education. In A. V. Martín-García, (Ed.), Blended Learning: Convergence between Technology and Pedagogy (p.183-209). Springer. https://doi.org/10.1007/978-3-030-45781-5_9
  • Cañizares, M. J., Batanero, C., Serrano, L., & Ortiz, J. J. (1999). Comprensión de la idea de juego equitativo en los niños. Números, 37(1), 37-55.
  • Casillas, S., Cabezas, M., Ibarra, M., & Rodríguez, G. (2020). El Profesorado Universitario en la Sociedad del Conocimiento: manejo y actitud hacia las TIC. Bordón. Revista De Pedagogía, 72(3), 45-63. https://doi.org/10.13042/Bordon.2020.76746
  • Cobb, G. W., & Moore, D. S. (1997). Mathematics, statistics, and teaching. The American mathematical monthly, 104(9), 801-823. https://doi.org/10.1080/00029890.1997.11990723
  • Cuida, A., Espina, E., Alsina, À., & Novo, M. L. (2021). La educación estadística y probabilística en proyectos editoriales de Educación Infantil. Bolema: Boletim de Educação Matemática, 35, 389-412. https://doi.org/10.1590/1980-4415v35n69a18
  • De Benito, B., Cañas, A., Darder, A., & Salinas, J. (2010). Construcción y validación de un itinerario de aprendizaje sobre diseño y producción de materiales didácticos multimedia. In Concept Maps: Making Learning Meaningful. Proceedings of the 4th Concept Mapping Conference CMC (pp. 62-66). Viña del Mar, Chile: Universidad de Chile.
  • Dettori, G. Ott, M., & Tavella, M. (2002). Integrating the use of educational software in primary school teaching by shaping learning itineraries. Proceedings of ICTE2002, (pp. 1530-1536). Badajoz, España.
  • Divjak, B., & Tomic, D. (2011). The impact of game-based learning on the achievement of learning goals and motivation for learning mathematics-literature review. Journal of Information and Organizational Sciences, 35(1), 15-30.
  • Fuentes-Cabrera, A., Parra-González, M. E., López-Belmonte, J., & Segura-Robles, A. (2020). Learning mathematics with emerging methodologies—The escape room as a case study. Mathematics, 8(9), 1586. https://doi.org/10.3390/math8091586
  • Godino, J. D., Batanero, C., & Font, V. (2007). Un enfoque ontosemiótico del conocimiento y la instrucción matemática. ZDM. The International Journal on Mathematics Education, 39, 127-135. https://doi.org/10.1007/s11858-006-0004-1
  • González-Merino, A. (2020). Panorama de la Educación 2019. Indicadores de la OCDE. Informe español. Versión preliminar. Ministerio de Educación.
  • Groth, R. E., & Bergner, J. A. (2006). Preservice elementary teachers' conceptual and procedural knowledge of mean, median, and mode. Mathematical Thinking and Learning, 8(1), 37-63. https://doi.org/10.1207/s15327833mtl0801_3
  • Harper, F. K., Rosenberg, J. M., Comperry, S., Howell, K., & Womble, S. (2021). #Mathathome during the COVID-19 Pandemic: Exploring and Reimagining Resources and Social Supports for Parents. Education Sciences, 11(2), 60. https://doi.org/10.3390/educsci11020060
  • Heedy, C., & Uribe, M. (2008). La educación a distancia: sus características y necesidad en la educación actual. Educación, 17(33), 7-27.
  • Ibáñez, J., de Benito, B. L., & Darder, A. (2011). Los mapas conceptuales como organizadores del proceso de enseñanza-aprendizaje: los itinerarios de aprendizaje. Investigació I Innovació Educativa I Socioeducativa, 3(1), 63-74.
  • Jiménez, C., Arís, N., Magreñán Ruiz, Á. A., & Orcos, L. (2020). Digital escape room, using Genial. Ly and a breakout to learn algebra at secondary education level in Spain. Education Sciences, 10(10), 271. https://doi.org/10.3390/educsci10100271
  • Jordán, C., Magreñán, Á. A., & Orcos, L. (2019). Considerations about flip education in the teaching of advanced mathematics. Education Sciences, 9(3), 227. https://doi.org/10.3390/educsci9030227
  • Kapadia, R., & Borovcnik, M. (2012). Chance encounters: Probability in education. Springer Science & Business Media.
  • Krishnapatria, K. (2020). From ‘Lockdown’to letdown: Students’ perception of e-learning amid the COVID-19 outbreak. ELT in Focus, 3(1), 1-8. https://doi.org/10.35706/eltinfc.v3i1.3694
  • Kroski, E. (2020). How to Create a Digital Breakout: Creating the Site. Library Technology Reports, 56(3), 23-26.
  • Lage, M. J., Platt, G. J., & Treglia, M. (2000). Inverting the classroom: A gateway to creating an inclusive learning environment. The journal of economic education, 31(1), 30-43. https://doi.org/10.1080/00220480009596759
  • Love, B., Hodge, A., Grandgenett, N., & Swift, A. W. (2014) Student learning and perceptions in a flipped linear algebra course. International Journal of Mathematical Education in Science and Technology, 45(3), 317-324. https://doi.org/10.1080/0020739X.2013.822582
  • López-Belmonte, J., Segura-Robles, A., Fuentes-Cabrera, A., & Parra-González, M. E. (2020). Evaluating activation and absence of negative effect: Gamification and escape rooms for learning. International journal of environmental research and public health, 17(7), 2224. https://doi.org/10.3390/ijerph17072224
  • McGivney-Burelle, J., & Xue, F. (2013) Flipping calculus. Primus, 23(5), 477-486. https://doi.org/10.1080/10511970.2012.757571
  • McLeod, S. A. (2019). What a p-value tells you about statistical significance. Simply psychology, 1-4. https://online210.psych.wisc.edu/wp-content/uploads/PSY-210_Unit_Materials/PSY-210_Unit09_Materials/McLeod_EffectSize_2019.pdf
  • Mor, E., Santanach, F., Tesconi, S., & Casado, C. (2018). CodeLab: Designing a Conversation-Based Educational Tool for Learning to Code. In C. Stephanidis, (Ed.), International Conference on Human-Computer Interaction (p. 94-101). Springer. https://doi.org/10.1007/978-3-319-92285-0_14
  • Nabizadeh, A. H., Gonçalves, D., Gama, S., Jorge, J., & Rafsanjani, H. N. (2020). Adaptive learning path recommender approach using auxiliary learning objects. Computers and Education, 147, 103777. https://doi.org/10.1016/j.compedu.2019.103777
  • Ortiz, C. V., & Alsina, Á. (2019). Conocimiento especializado del profesorado de educación básica para la enseñanza de la probabilidad. Profesorado, Revista de Currículum y Formación del Profesorado, 23(1), 393-419. https://doi.org/10.30827/profesorado.v23i1.9160
  • Pérez, Á. L., Suero, M. I. Montanero, M., & Pardo, P. J. (2004). Aplicaciones para la teoría de la elaboración de Reigeluth y Stein a la enseñanza de la física una propuesta basada en la utilización del programa informático CmapTools. In A. J. Cañas, J. D. Novak and F. M. González García, (Eds.), Concept maps: theory, methodology, technology: proceedings of the first International Conference on Concept Mapping (pp. 519-526). Universidad Pública de Navarra
  • Prendes Espinosa, M. P., & Cerdán Cartagena, F. (2021). Tecnologías avanzadas para afrontar el reto de la innovación educativa. RIED-Revista Iberoamericana De Educación a Distancia, 24(1), 35–53. https://doi.org/10.5944/ried.24.1.28415
  • Queiruga-Dios, A., Santos, M. J., Queiruga Dios, M., Gayoso, V., & Hernández, A. (2020). A virus infected your laptop. let’s play an escape game. Mathematics, 8(2), 166. https://doi.org/10.3390/math8020166
  • Radha, R., Mahalakshmi, K., Kumar, V., & Saravanakumar, A. R. (2020). E-Learning during lockdown of Covid-19 pandemic: A global perspective. International journal of control and automation, 13(4), 1088-1099.
  • Ramaiah, P., Tayyib, N. A., Alsolami, F. J., Lindsay, G. M., Asfour, H. I., Alshmemri, M. S., & Alsulami, S. A. (2021). Generated Themes of E-learning: Exploration of Students’ Challenges During Covid-19. Indian Journal of Science and Technology, 14(14), 1133-1138. https://doi.org/10.17485/IJST/v14i14.425
  • Reigeluth, C. M. (1999). The elaboration theory: Guidance for scope and sequence decisions. Instructional-design theories and models, 2, 425-453.
  • Rivera Vargas, P., & Lindín, C. (2019). Blockchain in the university: a digital technology to design, implement and manage global learning itineraries. Digital Education Review, 35, 130-150. https://doi.org/10.1344/der.2019.35.130-150
  • Rodríguez Muñiz, L. J., Muñiz-Rodríguez, L., Vásquez Ortiz, C. A., & Alsina, Á. (2020). ¿Cómo promover la alfabetización estadística y de datos en contexto? Estrategias y recursos a partir de la COVID-19 para Educación Secundaria. Números: revista de didáctica de las matemáticas, 104, 217-238.
  • Sacristán, M., Martín, R., Navarro, E., & Tourón, J. (2017). Flipped Classroom y Didáctica de las Matemáticas en la Formación online de Maestros de Educación Infantil. Revista Electrónica Interuniversitaria de Formación de Profesorado, 20, 1-14. https://doi.org/10.6018/reifop.20.3.292551
  • Sánchez, J., & Flores, H. (2010). Concept Mapping for Virtual Rehabilitation and Training of the Blind. IEEE Trans. on Neural Systems and Rehabilitation Engineering, 18(2), 210-219. https://doi.org/10.1109/TNSRE.2009.2032186
  • Sánchez-Ruiz, A. A., Jiménez-Diaz, G., Gómez-Martín, P. P., & Gómez-Martín, M. A. (2017). Case-Based Recommendation for Online Judges Using Learning Itineraries. In D. W. Aha, J. Lieber, (Eds.), International Conference on Case-Based Reasoning (pp. 315-329). Springer. https://doi.org/10.1007/978-3-319-61030-6_22
  • Sosa, M., & Valverde, J. (2020). Perfiles docentes en el contexto de la transformación digital de la escuela. Bordón. Revista de Pedagogía, 72(1), 151-173. https://doi.org/10.13042/Bordon.2020.72965
  • Stosic, L. (2015). The importance of educational technology in teaching. International Journal of Cognitive Research in Science, Engineering and Education, 3(1), 111-114. https://doi.org/10.23947/2334-8496-2015-3-1-111-114
  • Talbert, R. (2012). Inverted classroom. Colleagues, 9(1). https://scholarworks.gvsu.edu/colleagues/vol9/iss1/7
  • Tuma, F. (2021). The use of educational technology for interactive teaching in lectures. Annals of Medicine and Surger, 62, 231-235. https://doi.org/10.1016/j.amsu.2021.01.051
  • Turner, A., Tichter, A., & Pillow, T. (2021). Let’s Escape Didactics: Virtual Escape Room as a Didactic Modality in Residency. Journal of Education and Teaching in Emergency Medicine, 6(2). https://doi.org/10.5070/M562052905
  • Young-Jin, L. (2011). Empowering teachers to create educational software: A constructivist approach utilizing Etoys, pair programming and cognitive apprenticeship. Computers and Education, 56(2), 527-538. https://doi.org/10.1016/j.compedu.2010.09.018