Curricular design and implementation for teaching actuarial concepts in secondary vocational education

Authors

DOI:

https://doi.org/10.83179/0f1y2d29

Keywords:

high school, actuarial thinking, teaching, actuarial science

Abstract

The goal of this work is to design and implement a mathematics curriculum in secondary vocational education that integrates essential concepts of actuarial calculation, with the purpose of strengthening students’ skills in probability, statistics, and financial mathematics in a school in the town of Cota, Cundinamarca. The methodology applied is a mixed approach, combining qualitative and quantitative techniques. After the design and implementation of the curriculum and the application of a test to a sample of 50 High School students, it is evident that the curriculum allowed students to develop mathematical competencies applied in contexts of risk and uncertainty, common in actuarial sciences. Among the main contributions of the work, it is found that the curriculum functioned as a tool of pedagogical innovation, awakening interest not only in the students, but also among the teachers, who valued the contribution of this initiative. In addition to constituting pioneering work in the study of the teaching of actuarial concepts at the high school level.

Downloads

Download data is not yet available.

Author Biographies

  • Luz Mery Torres Lancheros, Universidad Escuela Colombiana de Ingeniería Julio Garavito

    Magister en Ciencia Actuarial
    Bogotá, Colombia

  • Yesid Esteban Clavijo Penagos, Universidad Escuela Colombiana de Ingeniería Julio Garavito

    Magister en Ciencia Actuarial
    Bogotá, Colombia

References

- Andrew, L. (2009). Experimental probability in elementary school. En R. Johnson, Teaching statistics (2nd ed., vol. 31, pp. 34-36). https://doi.org/10.1111/j.1467-9639.2009.00362.x

- Batanero, C., Burrill, G., y Reading, C. (eds.) (2011). Teaching statistics in school mathematics-Challenges for teaching and teacher education: A Joint ICMI/IASE Study. The 18th ICMI Study (vol. 14). Springer. 10.1007/978-94-007-1131-0

- Batanero, C., Chernoff, E. J., Engel, J., Lee, H. S., y Sánchez, E. (2016). Research on teaching and learning probability. Springer International Publishing. 10.1007/978-3-319-31625-3

- Chaput, B., Girard, J.-C., y Michel, H. (2011). Frequentist approach: modelling and simulation in statistics and probability teaching. En Teaching statistics in school mathematics-Challenges for teaching and teacher education (pp. 85-95). Springer. 10.1007/978-94-007-1131-0_12

- Helmerich, M. A. (2015). Rolling the dice – exploring different approaches to probability with primary school students. HAL. https://hal.science/hal-01287071

- Jones, G. A. (ed.) (2005). Exploring probability in school: challenges for teaching and learning (vol. 40). Springer US. https://doi.org/10.1007/0-387-24530-8_3

- Lusardi, A., y Mitchell, O. S. (2014). The economic importance of financial literacy: theory and evidence. Journal of Economic Literature, 52(1), 5-44.

- Martignon, L. (2014). Fostering children's probabilistic reasoning and first elements of risk evaluation. In Probabilistic thinking, presenting plural perspectives (pp. 149-160). Springer. 10.1007/978-94-007-7155-0_9

- Ministerio de Educación Nacional (s.f.). Estándares básicos de competencias en lenguaje, matemáticas, ciencias y ciudadanas. https://www.mineducacion.gov.co/1621/articles-340021_recurso_1.pdf

- Ministerio de Educación Nacional (2016). Derechos básicos de aprendizaje: matemáticas. https://wccope.s3.amazonaws.com/Derechos_Basicos_de_Aprendizaje_Matematicas_1.pdf

- OECD (2020). PISA 2018 Results: Are Students Smart about Money? (vol. IV). https://www.oecd.org/content/dam/oecd/en/publications/reports/2020/05/pisa-2018-results-are-students-smart-about-money_33989ca7/d540d9e9-en.pdf

- Pineda, Y. (2021). Desarrollo del pensamiento probabilístico a través de la resolución de problemas en ámbitos de incertidumbre en estudiantes de grado tercero [tesis de maestría]. Universidad Antonio Nariño.

- Society of Actuaries (s.f.). A particular set of skills and fields for actuaries. https://www.soa.org/future-actuaries/precandidate/what/

- Stenhouse, L. (1997). Investigación y desarrollo del currículum. Ediciones Morata.

- Willis, L. E. (2011). The financial education fallacy. American Economic Review, 101(3), 429-434.

Diseño e implementación curricular para la enseñanza de conceptos actuariales en educación media

Downloads

Published

2026-04-01

Issue

Section

Artículo de investigación

Categories