Use of a MOOC and SCRATCH for Learning and Teaching Integer Addition
Abstract
This article presents the results of research on mathematics teaching through the use of a MOOC (Massive Open Online Course), aimed at sixth-grade students from an urban educational institution to learn about integer addition, with computational support in SCRATCH. The main contribution of this study lies in the integration of a MOOC with SCRATCH programming to promote computational thinking and multi-representational understanding of integer addition. Unlike traditional ICT-based approaches, this model combines conceptual learning with algorithmic construction. The schooling process was carried out online and face-to-face. Programming was considered for the development of logical thinking. For the development of this work, a pedagogical design based on socioconstructivism and theories of autonomous, collaborative, and problem-based learning was proposed, in addition to using the Registers of Semiotic Representation. The work was carried out in three stages: the first was the design and creation of the MOOC; the second involved learning activities in which students programmed with SCRATCH; finally, students interacted with the programs they developed themselves to solve integer addition problems. This process revealed didactic contributions to the teacher as they transformed knowledge of integer addition into the SCRATCH programming scheme, thus offering another way of representing this knowledge, thereby increasing their specialized content knowledge. Regarding the students, they acquired other strategies to learn autonomously about integer addition when relating their mathematical knowledge with the computational knowledge they implemented in SCRATCH.
Keywords: MOOC; Integer Addition; Mathematics Education; Computational Thinking; Scratch Programming; ICT in Education; Semiotic Representation.
Full Text:
PDFReferences
J. Onrubia, "Enseñar: crear Zonas de Desarrollo Próximo e intervenir en ellas," in El constructivismo en el aula, C. Coll et al., Eds. Barcelona: Graó, 2002, pp. 101-124.
Ministerio de Educación Nacional (MEN), Derechos Básicos de Aprendizaje: Matemáticas Versión 2. Bogotá, Colombia, 2016. [Online]. Available: https://www.colombiaaprende.edu.co/sites/default/files/files_public/2022-06/DBA_Matematicas-min.pdf
G. Siemens, "Connectivism: A learning theory for the digital age," International Journal of Instructional Technology and Distance Learning, vol. 2, no. 1, pp. 3-10, 2005.
S. Downes, "Connectivism and connective knowledge," 2014. [Online]. Available: https://www.downes.ca/files/books/Connective_Knowledge-19May2014.pdf
M. Resnick et al., "Scratch: programming for all," Communications of the ACM, vol. 52, no. 11, pp. 60-67, 2009. doi: 10.1145/1592761.1592779
P. Calderón, "Scratch como herramienta para el desarrollo del pensamiento lógico-matemático," Revista Educación y Tecnología, vol. 12, pp. 45-62, 2018.
A. Mendoza, "Programación en Scratch y aprendizaje de operaciones básicas en estudiantes de básica primaria," Revista Colombiana de Educación, no. 76, pp. 215-234, 2019. doi: 10.17227/rce.num76-4978
J. D. Godino and F. Ruiz, "Números enteros: aspectos conceptuales y didácticos," in Didáctica de las Matemáticas, Universidad de Granada, 2003.
L. F. Gómez, "La enseñanza de las matemáticas desde la perspectiva sociocultural del desarrollo cognoscitivo," ITESO, Jalisco, México, 1994.
A. McAuley, B. Stewart, G. Siemens, and D. Cormier, "The MOOC model for digital practice," University of Prince Edward Island, 2010. [Online]. Available: https://oerknowledgecloud.org/sites/oerknowledgecloud.org/files/MOOC_Final.pdf
B. Crispín et al., "Aprendizaje Autónomo," in Aprendizaje Autónomo orientaciones para la docencia. Ciudad de México: Dirección de Publicaciones de la Universidad Iberoamericana, 2011.
L. Morales, "El aprendizaje autónomo en la enseñanza de la matemática," 2016.
M. Cabrera, "El aprendizaje colaborativo en entornos virtuales," 2008.
C. Ricce, L. Díaz, and T. López, "El aprendizaje colaborativo en la enseñanza de las matemáticas: revisión sistemática," Acción y Reflexión Educativa, no. 46, pp. 1-18, 2021. doi: 10.48204/j.are.n46a1
H. S. Barrows, "A taxonomy of problem-based learning methods," Medical Education, vol. 20, no. 6, pp. 481-486, 1986. doi: 10.1111/j.1365-2923.1986.tb01386.x
J. H. C. Moust, P. A. J. Bouhuijs, and H. G. Schmidt, El aprendizaje basado en problemas: guía del estudiante. 2007.
R. Duval, "Representation, vision and visualization: Cognitive functions in mathematical thinking. Basic issues for learning," in Proceedings of the 21st North American PME Conference, 1999.
M. J. Koehler and P. Mishra, "What is technological pedagogical content knowledge (TPACK)?" Contemporary Issues in Technology and Teacher Education, vol. 9, no. 1, pp. 60-70, 2009. [Online]. Available: https://citejournal.org/volume-9/issue-1-09/general/what-is-technological-pedagogicalcontent-knowledge
D. L. Ball, M. H. Thames, and G. Phelps, "Content knowledge for teaching: What makes it special?" Journal of Teacher Education, vol. 59, no. 5, pp. 389-407, 2008. doi: 10.1177/0022487108324554
K. Kapp, The gamification of learning and instruction: Game-based methods and strategies for training and education. San Francisco: Pfeiffer, 2012.
L. S. Shulman, "Those who understand: Knowledge growth in teaching," Educational Researcher, vol. 15, no. 2, pp. 4–14, 1986. doi: 10.3102/0013189X015002004
ARAYA CHACÓN, A. M., MONGE SÁNCHEZ, A., and MORALES QUIRÓS, C. (2007). Comprensión de las razones trigonométricas: niveles de comprensión, indicadores y tareas para su análisis. Actualidades Investigativas en Educación, 7(2). [Online]. Available: https://doi.org/10.15517/aie.v7i2.9274
CHAVARRIA-PALLARCO, N. A. (2020). Modelo Van Hiele y niveles de razonamiento geométrico de triángulos en estudiantes de Huancavelica. Investigación Valdizana, 14(2), 85–95. [Online]. Available: https://doi.org/10.33554/riv.14.2.587
Refbacks
- There are currently no refbacks.


