Teaching Mathematics for Sustainable Development in Official Educational Institutions: Theoretical and Argumentative Contributions Based on the Key Competence of Problem Solving
Abstract
This article aimed to formulate a theoretical construct that articulates mathematics teaching, sustainable development, and the key competence of problem-solving, within the framework of a doctoral research project conducted in public educational institutions in the municipality of Soledad, Atlántico (Colombia). The research was structured using a qualitative approach and a hermeneutic-dialectical method based on the postulates of grounded theory, which allowed for the integration of empirical findings with theoretical and normative references. Semi-structured interviews, focus groups, and documentary analysis were used for data triangulation. The results revealed tensions between educational regulations, teaching practice, and contextual conditions, which required the construction of a theoretical corpus that recognized mathematics teaching as a contextualized, ethical, and sustainable process. The resulting construct is composed of three interdependent sections: (1) the relationship between context, regulations, and pedagogical practices; (2) the articulation between educational policies, teacher training, and community networks; and (3) the epistemic guidelines for curricular and didactic innovation. Overall, the results established that problem-solving is consolidated as an integrative competence for linking sustainability with mathematics teaching. It is concluded that this construct constitutes a theoretical framework for guiding educational transformation toward the development of critical, reflective citizens committed to sustainable development.
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Andrades-Moya, J. (2024). Introducing methodological components to school coexistence. Revista Brasileira de Educacao, 29. https://doi.org/10.1590/S1413-24782024290089
Anthony, G., & Walshaw, M. (2023). Characteristics of Effective Teaching of Mathematics: A View from the West. In Journal of Mathematics Education © Education for All (Vol. 2, Issue 2).
Atta-Sakyi, K., Musona, D., & Mweshi, G. (2020). Research Methods and Methodologies. The Methuen Drama Handbook of Theatre History and Historiography, April, 21–52. https://doi.org/10.14738/assrj.73.7993
Ausubel, D. (1963). The psychology of meaningful verbal learning: An introduction to school learning. Grune & Stratton.
Biesta, G. (2010). Good education in an age of measurement: Ethics, politics, democracy. Routledge. https://doi.org/10.4324/9780203849030
Carrillo-Gallego, D., Maurandi-López, A., & Olivares-Carrillo, P. (2023). From Pestalozzi’s intuition principle to classrooms: the counting frame and innovations in the teaching of mathematics (Spain, nineteenth century). Paedagogica Historica, 59(3), 407–427. https://doi.org/10.1080/00309230.2021.1906713
Chan, J., Closser, A., Smith, H., Lee, J. E., Drzewiecki, K., & Ottmar, E. (2023). Grasping patterns of algebraic understanding: Dynamic technology facilitates learning, research, and teaching in mathematics education. In Mathematical Teaching and Learning: Perspectives on Mathematical Minds in the Elementary and Middle School Years (pp. 207–225). Springer International Publishing. https://doi.org/10.1007/978-3-031-31848-1_12
Chand, S., Chaudhary, K., Prasad, A., & Chand, V. (2021). Perceived Causes of Students’ Poor Performance in Mathematics: A Case Study at Ba and Tavua Secondary Schools. Frontiers in Applied Mathematics and Statistics, 7. https://doi.org/10.3389/fams.2021.614408
Charmaz, K. (2006). Constructing grounded theory: A practical guide through qualitative analysis. SAGE Publications.
Darling-Hammond, L. (2017). Empowered educators: How high-performing systems shape teaching quality around the world. Jossey-Bass.
Deogratias, E. (2022). The importance of using real objects for teaching and learning a mathematical concept with pre-service teachers of mathematics conditions of the Creative Commons Attribution license (CC BY-NC-ND) (http://creativecommons.org/licenses/by-nc-nd/4.0/). In International Journal of Curriculum and Instruction (Vol. 14, Issue 1).
English, L.D., & Goos, M. (2011). Teaching and learning secondary school mathematics. Springer. https://doi.org/10.1007/978-94-007-1500-0
Fadel, C. (2015). Four-dimensional education: The competencies learners need to succeed. Center for Curriculum Redesign.
Fhloinn, E. N., & Fitzmaurice, O. (2021). Challenges and opportunities: Experiences of mathematics lecturers engaged in emergency remote teaching during the covid-19 pandemic. Mathematics, 9(18). https://doi.org/10.3390/math9182303
Fullan, M. (2019). Nuance: Why some leaders succeed and others fail. Corwin Press.
Gadamer, H.-G. (2002). Truth and Method II: Complements and Writings. Follow Me.
Galbraith, P.L., & Stillman, J. (2006). Modeling and applications in mathematics education. Springer. https://doi.org/10.1007/978-0-387-29822-
Gidalevich, S., & Mirkin, E. (2024). The Effect of a SEL (Social–Emotional Learning) Intervention Program Based on Emotional Regulation and Metacognitive Awareness for Special Education Preservice Teachers Experiencing Adapted Teaching in Mathematics. European Journal of Investigation in Health, Psychology and Education, 14(7), 1996–2012. https://doi.org/10.3390/ejihpe14070133
Glaser, B.G., & Strauss, A.L. (1967). The discovery of grounded theory: Strategies for qualitative research. Aldine.
Greefrath, G., Siller, H. S., Vorhölter, K., & Kaiser, G. (2022a). Mathematical modelling and discrete mathematics: opportunities for modern mathematics teaching. ZDM - Mathematics Education, 54(4), 865–879. https://doi.org/10.1007/s11858-022-01339-5
Greefrath, G., Siller, H. S., Vorhölter, K., & Kaiser, G. (2022b). Mathematical modelling and discrete mathematics: opportunities for modern mathematics teaching. ZDM - Mathematics Education, 54(4), 865–879. https://doi.org/10.1007/s11858-022-01339-5
Hartman, R. S. (1967). The structure of value: Foundations of scientific axiology. Southern Illinois University Press.
Haydam, N. E., & Steenkamp, P. (2020). A Methodological Blueprint for Social Sciences Research - The Social Sciences Research Methodology Framework. European Integration Realities and Perspectives, 15, 304–325.
Ludwig, M., & MathCityMap Project. (2020). Maths in the city: Outdoor mathematics in real-world contexts. WTM Verlag. https://doi.org/10.37626/GA9783959871825.0
Mailizar, M., Almanthari, A., & Maulina, S. (2021). Examining teachers’ behavioral intention to use e-learning in teaching of mathematics: An extended tam model. Contemporary Educational Technology, 13(2), 1–16. https://doi.org/10.30935/CEDTECH/9709
Mainali, B. (2021). Representation in teaching and learning mathematics. International Journal of Education in Mathematics, Science and Technology, 9(1), 1–21. https://doi.org/10.46328/ijemst.1111
Marpa, E. (2021). Technology in the teaching of mathematics: An analysis of teachers’ attitudes during the COVID-19 pandemic. International Journal on Studies in Education (IJonSE), 3(2), 92–102. www.ijonse.net
Mawela, A., & Mahlambi, S. (2021). Exploring Teachers’ Views on Code-Switching as a Communicative Technique to Enhance the Teaching of Mathematics in Grade 4. International Journal of Educational Methodology, 7(4), 637–648. https://doi.org/10.12973/ijem.7.4.637
Morin, E. (2001). The Seven Essential Knowledges for the Education of the Future. UNESCO. https://unesdoc.unesco.org/ark:/48223/pf0000122048
Pillai, A. A., & Kaushal, U. (2020). Research Methodology- An Introduction To Literary Studies. Central Asian Journal of Literature, Philosophy and Culture, 1(1), 1–11.
Polya, G. (1945). How to solve it: A new aspect of mathematical method. Princeton University Press.
Ricoeur, P. (1990). Hermeneutics and the human sciences. Cambridge University Press.
Rodríguez-Jiménez, C., de la Cruz-Campos, J. C., Campos-Soto, M. N., & Ramos-Navas-Parejo, M. (2023). Teaching and Learning Mathematics in Primary Education: The Role of ICT-A Systematic Review of the Literature. Mathematics, 11(2). https://doi.org/10.3390/math11020272
Rogers, C. (1961). On becoming a person: A therapist's view of psychotherapy. Houghton Mifflin.
Russo, J., Bragg, L. A., & Russo, T. (2020). How primary teachers use games to support their teaching of mathematics. International Electronic Journal of Elementary Education, 13(4), 407–419. https://doi.org/10.26822/iejee.2021.200
Schoenfeld, A. H. (1992). Learning to think mathematically: Problem solving, metacognition, and sense-making in mathematics. In DA Grouws (Ed.), Handbook of research on mathematics teaching and learning (pp. 334–370). Macmillan.
Seventina, E., Muhammad, I., Dasari, D., & Maharani, S. (2023). Research on critical thinking of pre-service mathematics education teachers in Indonesia (2015-2023): A bibliometric review. Jurnal Math Educator Nusantara: Wahana Publikasi Karya Tulis Ilmiah Di Bidang Pendidikan Matematika, 9(1), 34–50. https://doi.org/10.29407/jmen.v9i1.19734
Sosa-Gutierrez, F., Apaza, H. M. V., Valdivia-Yábar, S. V., & Condori-Castillo, W. W. (2023). Critical Thinking and Teaching Mathematics: An Analysis from Education. International Journal of Religion, 4(2), 387–405. https://doi.org/10.61707/94v23344
Strauss, A., & Corbin, J. (1990). Basics of qualitative research: Grounded theory procedures and techniques. SAGE Publications.
Turakulov, O., & Mamanov, S. (2023). Main functions of professional teaching of mathematics in vocational school. International Journal of Contemporary Scientific and Technical Research. https://doi.org/10.5281/zenodo.7875355
UNESCO. (2017). Education for sustainable development goals: Learning objectives. UNESCO Publishing. https://unesdoc.unesco.org/ark:/48223/pf0000247444
UNESCO. (2020). Education for sustainable development: A roadmap. UNESCO Publishing. https://unesdoc.unesco.org/ark:/48223/pf0000374802
Vygotsky, L. S. (1978). Mind in society: The development of higher psychological processes. Harvard University Press.
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