Transformative assessment practices in the mathematics education: a global review with implications for Colombia

Authors

  • Jorge Angelmiro Pabón Gómez Universidad Francisco de Paula Santander, Cúcuta,Colombia
  • Mawency Vergel Ortega Universidad Francisco de Paula Santander, Cúcuta,Colombia
  • Félix Joaquín Lozano Cárdenas Universidad Francisco de Paula Santander, Cúcuta,Colombia

DOI:

https://doi.org/10.61799/2216-0388.2191

Keywords:

assessment practices, educational equity, educational transformation, formative assessment, mathematics education, teacher training.

Abstract

In contemporary pedagogical debates, assessment practices have been a source of contention, generating tensions between traditional models focused on measuring learning outcomes. In Colombia, despite legislation such as Decree 1290 of 2009, these measures have not been sufficient to reduce the gap between government standards and the realities of classroom life, particularly in remote or low-income communities. Therefore, attempting to systematically and rationally assess mathematics education levels globally can help Colombian education become a transformative force, prioritizing equity as a guiding principle. To this end, a literature review was conducted, compiling 54 scientific studies published between 2014 and 2024 from databases such as Scopus, Web of Science, ERIC, SciELO, and Redalyc. The study also considered organizing the data by geographic region (America, Europe, Asia, Africa, and Oceania), maintaining patterns, contrasts, and lessons learned that can be applied to the Colombian context. Among the results, it was evident that there is a global transition from summative to formative models, each with its own pace and characteristics. For example, Finland, the Netherlands, South Korea, Japan, and New Zealand are leaders in adapting transformative practices through teacher investment in their integration of policy and technology. Furthermore, Latin America and Sub-Saharan Africa continue to face challenges due to structures rooted in socioeconomic inequality, where teacher training is limited and infrastructure is scarce, hindering the effective implementation of changes in assessments. In conclusion, to effectively guide transformative assessment activities, it is essential to focus on teacher training and mitigate social obstacles to contextualize research. Therefore, at the Colombian level, the transformation requires government reforms that include the diversity of the region as an ethical-political horizon of the evaluative work.

 

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References

[1] P. Black y D. Wiliam, "Assessment and classroom learning," Assessment in Education: Principles, Policy & Practice, vol. 5, no. 1, pp. 7-74, 1998. https://doi.org/10.1080/0969595980050102

[2] D. Wiliam, Embedded formative assessment. Bloomington, IN: Solution Tree Press, 2011.

[3] L. S. Vygotsky, Mind in society: The development of higher psychological processes. Cambridge, MA: Harvard University Press, 1978.

[4] S. M. Brookhart, How to create and use rubrics for formative assessment and grading. Alexandria, VA: ASCD, 2013.

[5] J. Hattie y H. Timperley, "The power of feedback in formative assessment: A meta-analysis," Review of Educational Research, vol. 87, no. 1, pp. 69-112, 2017. https://doi.org/10.3102/0034654316678717

[6] P. Drijvers, H. Kodde-Buitenhuis y M. Doorman, "Assessing mathematical thinking as part of curriculum reform in the Netherlands," Educational Studies in Mathematics, vol. 102, no. 3, pp. 435-456, 2019. https://doi.org/10.1007/s10649-019-09905-7

[7] G. A. Nortvedt y N. Buchholtz, "Assessment in mathematics education: Responding to issues regarding methodology, policy, and equity," ZDM, vol. 50, no. 3, pp. 555-570, 2018. https://doi.org/10.1007/s11858-018-0963-z

[8] J. G. Puin López, "Formative evaluation model for learning from conceptions and evaluative practices," Convergencia Educativa, no. 10, pp. 23-43, 2021. https://doi.org/10.29035/rce.10.23

[9] P. Riaño y M. Ramírez, "Políticas educativas y evaluación formativa en América Latina: Un análisis de su implementación en zonas urbanas," Revista de Políticas Educativas, vol. 8, no. 4, pp. 102-123, 2020.

[10] A. Riaño y F. Riscanevo, "Evaluación formativa en contextos rurales: Limitaciones y oportunidades," Revista Latinoamericana de Evaluación Educativa, vol. 22, no. 2, pp. 47-63, 2020.

[11] P. Cáceres, A. Muñoz y R. Palacios, "Evaluación en la enseñanza de las matemáticas en escuelas rurales de Chile," Revista Latinoamericana de Educación, vol. 12, no. 1, pp. 34-50, 2020.

[12] J. J. Cumming, F. M. Van Der Kleij y L. Adie, "Contesting educational assessment policies in Australia," Journal of Education Policy, vol. 34, no. 6, pp. 836-857, 2019. https://doi.org/10.1080/02680939.2019.1608375

[13] L. Smith y B. Cowie, "Formative assessment in mathematics classrooms: A New Zealand study," Mathematics Education Research Journal, vol. 32, no. 2, pp. 123-147, 2020. https://doi.org/10.1007/s13394-019-00295-2

[14] M. Brown, P. Wilcox y L. Jones, "Digital tools for formative assessment in mathematics education: An Australian perspective," Journal of Educational Technology & Society, vol. 22, no. 4, pp. 42-55, 2019.

[15] J. Murillo y N. Hidalgo, "Evaluación educativa y justicia social: una revisión crítica," Revista de Educación Comparada, vol. 30, no. 1, pp. 75-92, 2015.

[16] A. Kolomiiets, O. Olefir, G. Urum, O. Tiutiunnyk y Y. Dobraniuk, "Introducing the latest teaching and educational development practices in mathematics: The experience of EU countries," Amazonia Investiga, vol. 11, no. 55, pp. 193-200, 2022. https://doi.org/10.34069/AI/2022.55.07.20

[17] J. Nilimaa, "New examination approach for real-world creativity and problem-solving skills in mathematics," Trends in Higher Education, vol. 2, pp. 477-495, 2023. https://doi.org/10.3390/higheredu2030028

[18] U. D'Ambrosio y C. Lopes, "Creative insubordination in mathematics education," International Journal of Critical Pedagogy, vol. 7, no. 4, pp. 255-274, 2016.

[19] L. Nasser, S. Agha y F. Kurban, "Insubordinated proposals in mathematics assessment," Journal of Creative Education, vol. 22, no. 3, pp. 89-101, 2019.

[20] W. Mengesha y A. Degefa, "Perceptions of continuous assessment in secondary school mathematics," European Journal of Education Research, vol. 25, no. 2, pp. 189-205, 2021.

[21] S. Guri y N. Buchholtz, "Equity and gender in mathematics assessment: A European perspective," European Educational Research Journal, vol. 17, no. 5, pp. 645-660, 2018.

[22] J. Serna, M. Rodríguez y A. Valencia, "Evaluación en contextos rurales en Colombia: Un análisis desde la cartografía crítica," Revista de Educación Rural, vol. 11, no. 2, pp. 98-115, 2020.

[23] H. Wu, Z. Xie y Z. Li, "Cognitive diagnostic models in PISA mathematics: An international comparison," Educational Studies in Mathematics, vol. 19, no. 3, pp. 245-260, 2020.

[24] G. T. L. Brown, "The past, present and future of educational assessment: A transdisciplinary perspective," Frontiers in Education, vol. 7, p. 1060633, 2022. https://doi.org/10.3389/feduc.2022.1060633

[25] V. Hurskaya, S. Mykhaylenko, Z. Kartashova, N. Kushevska y Y. Zaverukha, "Assessment and evaluation methods for 21st-century education: Measuring what matters," Futurity Education, vol. 4, no. 4, pp. 4-17, 2024. https://doi.org/10.57125/FED.2024.12.25.01

[26] C. I. Martínez Zapata e I. García Cedillo, "Análisis de las prácticas evaluativas inclusivas de tres docentes de educación preescolar en México," Revista Latinoamericana de Educación Inclusiva, vol. 11, no. 1, pp. 225-243, 2017.

[27] J. García-López, M. Sánchez y F. Pérez, "Prácticas evaluativas formativas en escuelas públicas de México," Educación Matemática, vol. 12, no. 1, pp. 47-65, 2021.

[28] A. Cruz y P. Ramírez, "Evaluación inclusiva en el sistema educativo peruano: Barreras y oportunidades," Revista de Educación Inclusiva, vol. 15, no. 2, pp. 22-39, 2019.

[29] C. I. Martínez Zapata e I. García Cedillo, "Prácticas evaluativas inclusivas de docentes de educación preescolar en México," Revista de Investigación Educativa, vol. 14, no. 2, pp. 78-95, 2018.

[30] I. E. Riaño y L. E. Riscanevo, "Configuraciones del desarrollo profesional docente en América Latina," Voces y Silencios: Revista Latinoamericana de Educación, vol. 14, no. 1, pp. 38-62, 2022.

[31] R. Gómez y L. Márquez, "Tensiones entre evaluación formativa y sumativa en escuelas secundarias de Colombia," Revista de Evaluación Educativa, vol. 18, no. 3, pp. 23-40, 2019.

[32] P. Morales y F. González, "Prácticas evaluativas en matemáticas en áreas rurales de Perú: Limitaciones y oportunidades," Revista Andina de Educación, vol. 12, no. 2, pp. 56-70, 2020.

[33] A. Navarrete, P. López y M. Torres, "Evaluación formativa en la enseñanza de las matemáticas en América del Sur," Revista Internacional de Evaluación Educativa, vol. 10, no. 1, pp. 47-65, 2021.

[34] E. Cruz y L. Reyes, "Evaluaciones estandarizadas y desigualdad social en la enseñanza de las matemáticas," Revista de Educación Comparada, vol. 16, no. 4, pp. 198-215, 2018.

[35] M. Martínez y A. Rodríguez, "Prácticas evaluativas en escuelas rurales de México: Tensiones y desafíos en la implementación de la evaluación formativa," Revista Iberoamericana de Educación, vol. 76, no. 1, pp. 89-110, 2018.

[36] M. González y P. Ramírez, "Evaluación formativa en colegios públicos de Bogotá: Desafíos y oportunidades," Revista Colombiana de Educación, vol. 22, no. 1, pp. 67-84, 2017.

[37] A. López, S. Martínez y J. Hernández, "Evaluación formativa en la enseñanza de matemáticas en Ecuador: Un estudio de caso," Revista Ecuatoriana de Educación, vol. 8, no. 3, pp. 99-118, 2020.

[38] R. García y L. Hernández, "Retroalimentación formativa y desarrollo del pensamiento crítico en matemáticas en escuelas públicas de Chile," Revista de Educación y Pedagogía, vol. 14, no. 2, pp. 33-50, 2019.

[39] A. Navarrete, F. Pérez y T. Castillo, "Evaluación formativa como herramienta para mejorar la motivación en el aprendizaje de matemáticas en Perú," Revista Iberoamericana de Investigación Educativa, vol. 19, no. 4, pp. 60-75, 2021.

[40] D. Kipchumba, J. Mwangi y S. Otieno, "The role of formative assessments in improving learning outcomes in mathematics in rural Kenyan schools," African Journal of Education and Practice, vol. 5, no. 2, pp. 110-125, 2019. https://doi.org/10.5897/AJEP2019.0345

[41] G. Njoroge, M. Mwakalinga y J. Kileo, "Integration of formative assessment in mathematics education in Tanzania: Challenges and opportunities," East African Educational Research Journal, vol. 7, no. 3, pp. 78-95, 2020. https://doi.org/10.1080/14739020.2020.1791321

[42] R. Ahmed y M. Osman, "Impact of assessment practices in mathematics education in disadvantaged South African schools," South African Journal of Education, vol. 41, no. 1, pp. 56-75, 2021. https://doi.org/10.15700/saje.v41n1a1786

[43] T. Mokoena, P. Shilongo y N. Hamutenya, "Educational reforms and formative assessment in Namibian primary schools," Namibian Journal of Educational Sciences, vol. 9, no. 2, pp. 145-162, 2018.

[44] O. Adeleke, A. Bello y K. Adekunle, "Comparative study of formative and summative assessment in Nigerian secondary schools," Nigerian Journal of Educational Research, vol. 13, no. 4, pp. 88-102, 2019.

[45] M. Tshabalala, R. Moyo y S. Ndlovu, "Formative assessments and student performance in Zimbabwean mathematics classrooms," Zimbabwe Journal of Educational Research, vol. 32, no. 1, pp. 23-41, 2020.

[46] N. Abdullah, S. Shin y T. Abdurrahman, "Comparative study on formative assessment practices in mathematics: Malaysia and South Korea," International Journal of Educational Research, vol. 28, no. 3, pp. 145-162, 2020. https://doi.org/10.1016/j.ijer.2020.101632

[47] H. Yam, K. Tanaka y M. Watanabe, "Digital platforms for formative assessment in Japanese mathematics classrooms," Japanese Journal of Educational Technology, vol. 15, no. 4, pp. 89-105, 2021. https://doi.org/10.1007/s12564-021-09678-2

[48] L. Wang, X. Liu y H. Chen, "Formative assessment in Chinese mathematics classrooms: A qualitative study," Asian Journal of Educational Research, vol. 12, no. 2, pp. 67-84, 2019. https://doi.org/10.1080/02188791.2019.1672123

[49] J. Lee y S. Kim, "Long-term effects of formative assessment on mathematics achievement in South Korea," Korean Journal of Educational Research, vol. 22, no. 1, pp. 55-78, 2022. https://doi.org/10.1007/s40299-022-00638-7

[50] R. Sharma, P. Verma y A. Singh, "Impact of formative assessments on mathematics performance in Indian secondary schools," Indian Journal of Educational Research, vol. 19, no. 3, pp. 102-119, 2020. https://doi.org/10.1080/09537325.2020.1779853

[51] D. Pandeya, "Parental support and academic performance in mathematics: A study from Nepal," Nepalese Journal of Education, vol. 8, no. 2, pp. 45-62, 2019. https://doi.org/10.3126/nje.v8i2.27123

[52] A. Hidayat e M. Irdiyansyah, "Integration of formative assessment in physics teaching: A study from Indonesia," Indonesian Journal of Educational Studies, vol. 11, no. 4, pp. 134-151, 2021. https://doi.org/10.21831/jpe.v11i4.42598

[53] M. Khan, R. Ahmad y T. Hussain, "Formative assessment in mathematics: A study from Pakistan," Pakistan Journal of Educational Research, vol. 14, no. 1, pp. 78-95, 2020.

[54] T. Nguyen, H. Pham y D. Tran, "Implementation of formative assessment in Vietnamese secondary mathematics education," Vietnamese Journal of Educational Sciences, vol. 9, no. 3, pp. 112-128, 2021.

Published

2026-09-01

Issue

Section

Artículo Originales

How to Cite

[1]
Pabón Gómez, J.A. et al. 2026. Transformative assessment practices in the mathematics education: a global review with implications for Colombia. Mundo FESC Journal. 16, 36 (Sep. 2026). DOI:https://doi.org/10.61799/2216-0388.2191.

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