Design-based research for generating learning opportunities in school mathematics in rural contexts
DOI:
https://doi.org/10.21803/penamer.18.37.889Keywords:
Design-Based Research, Learning Opportunities, Mathematical EducationAbstract
Introduction: In recent years, Design-Based Research (DBR) has been consolidating as fruitful and robust in the field of mathematical education since it facilitates the articulation between investigation and the real needs of instruction. However, limitations persist in terms of concrete examples of its application, especially in Doctoral research. Objective: Describe a route of the use of DBR in the generation of theorical and practical contributions, from a doctoral study, whose contribution was the construction of the construct of quality learning opportunities and of a methodology to generate these opportunities. Methodology: The research was installed in a qualitative paradigm, with descriptive scope. Through of a documentary review and a content analysis. Results: A route for the elaboration of doctoral studies is described following the phases of DBR, based on a specific case. From progressive refi-
nement of conjectures using hypothetical learning trajectories. Conclusion: DBR is presented as a solid methodological strategy that allows generating theoretical contributions while improving instructions
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References
Archer, E. (2019). Design Research: Developing effective feedback interventions for school-based monitoring. Transforming Research Methods in the Social Sciences, 317-336.
Bakker, A., & Van Eerde, H. A. A. (2015). An introduction to design based research with an example from statistics education. In A. Bikner-Ahsbahs, C. Knipping, & N. Presmeg (Eds.), Doing qualitative research: Methodology and methods in mathematics education (pp. 429-466). New York: Springer.
Cai, J., Morris, A., Hohensee, C., Hwang, S., Robison, V., Cirillo, M., Kramer, S. L., & Hiebert, J. (2019a). Posing significant research questions. Journal for Research in Mathematics Education, 50(2), 114–120. https://doi.org/10.5951/jresematheduc.50.2.0114.
Cai, J., Morris, A., Hohensee, C., Hwang, S., Robison, V., Cirillo, M., ... & Hiebert, J. (2019b). Theoretical framing as justifying. Journal for Research in Mathematics Education, 50(3), 218-224.
Cai, J., Morris, A., Hohensee, C., Hwang, S., Robison, V., Cirillo, M., ... & Hiebert, J. (2019c). Choosing and justifying robust methods for educational research. Journal for Research in Mathematics Education, 50(4), 342-348.
Cai, J., Morris, A., Hohensee, C., Hwang, S., Robison, V., Cirillo, M., ... & Hiebert, J. (2019d). So what? Justifying conclusions and interpretations of data. Journal for Research in Mathematics Education, 50(5), 470-477.
Cai, J., Morris, A., Hohensee, C., Hwang, S., Robison, V., Cirillo, M., Kramer, S. L., Hiebert, J., & Bakker, A. (2020). Maximizing the quality of learning opportunities for every student. Journal for Research in Mathematics Education, 51(1), 12–25. https://doi.org/10.5951/jresematheduc.2019.0005
Cai, J., Morris, A., Hohensee, C., Hwang, S., Robison, V., Hiebert, J., & Cai, J. (2019). Linked references are available on JSTOR for this article : Research Pathways That Connect Research and Practice. 50(1), 2–10.
Camargo Uribe, L. (2022). Estrategias de investigación cualitativa en educación matemática.
Clements, D. H., & Sarama, J. (2007). Effects of a preschool mathematics curriculum: Summative research on the Building Blocks project. Journal for research in Mathematics Education, 38(2), 136-163.
Cobb, P., Confrey, J., Disessa, A., Lehrer, R., & Schauble, L. (2003). Design Experiments in Educational Research. Educational Researcher, 32(1), 9–13. https://doi.org/10.3102/0013189X032001009
Confrey, J., & Maloney, A. (2015). A design research study of a curriculum and diagnostic assessment system for a learning trajectory on equipartitioning. ZDM, 47, 919-932.
Creswell, J. W., & Poth, C. N. (2016). Qualitative inquiry and research design: Choosing among five approaches. Sage publications.
De Beer, H. T. (2016). Exploring instantaneous speed in grade five: a resign research. Eindhoven University of Technology.
Godino, J. D., Batanero, C., Contreras, Á., Estepa, A., & Wilhelmi, M. R. (2013). La ingeniería didáctica como investigación basada en el diseño. Cerme, 8, 1–15.
Gravemeijer, K. (2020) Emergent Modeling: an RME Design Heuristic Elaborated in a Series of Examples. Educational Designer, 4(13).
Gravemeijer, K., & Prediger, S. (2019). Topic-specific design research: An introduction. Compendium for early career researchers in mathematics education, 33-57.
Gresalfi, M. S. (2015). Designing to support critical engagement with statistics. ZDM - Mathematics Education, 47(6), 933–946. https://doi.org/10.1007/s11858-015-0690-7
Hernández Sampieri, R., Fernández Collado, C., & Baptista Lucio, P. (2014). Metodología de la investigación. Sexta Edición. Editorial Mc Graw Hill. México. 2014. Metodología de la Investigación. 6a Edición, Mc Graw Hill, México.
Molina, M., Castro, E., Molina, J. L., & Castro, E. (2011). Un acercamiento a la investigación de diseño a través de los experimentos de enseñanza. Enseñanza de las ciencias: revista de investigación y experiencias didácticas, 75-88.
Molina, M. (2021). Investigación de diseño educativa: Un marco metodológico en evolución. Investigación en Educación Matemática XXIV, 83-97.
Prediger, S. (2019). Theorizing in design research: Methodological reflections on developing and connecting theory elements for language-responsive mathematics classrooms. Avances de Investigacion En Educacion Matematica, 15, 5–27. https://doi.org/10.35763/aiem.v0i15.265
Prediger, S., Gravemeijer, K., & Confrey, J. (2015). Design research with a focus on learning processes: An overview on achievements and challenges. ZDM, 47, 877-891.
Prediger, S., & Krägeloh, N. (2015). Low achieving eighth graders learn to crack word problems: a design research project for aligning a strategic scaffolding tool to students’ mental processes. ZDM, 47, 947-962.
Rojas, S. (2023). Hacia la generación de oportunidades de aprendizaje de calidad para cada estudiante en la clase de matemáticas en contextos rurales [Tesis doctoral, Universidad Antonio Nariño].
Simón, M. A. (1995). Reconstructing mathematics pedagogy from a constructivist perspective. Journal for research in mathematics education, 26(2), 114-145.
Stephan, M. L. (2015). Conducting classroom design research with teachers. ZDM - Mathematics Education, 47(6), 905–917. https://doi.org/10.1007/s11858-014-0651-6
Van Den Heuvel-Panhuizen, M. (2003). The didactical use of models in realistic mathematics education: An example from a longitudinal trajectory on percentage. Educational studies in Mathematics, 54(1), 9-35.

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