Design of statistical projects at the school level, advances and challenges when engaging in the statistical problem-solving process

Authors

  • Francisco Javier Trejo Moreno University of Sonora
  • Eleazar Silvestre Castro University of Sonora

DOI:

https://doi.org/10.52041/iase25.142

Abstract

This paper presents the results of a design-based research study aimed at fostering 8th-grade students’ Statistical Thinking through contextualized investigations. Drawing on GAISE II recommendations for novice levels (A and B) and the Statistical Working Spaces framework, two statistical projects were designed using local orange production as context. Findings indicate that students made significant progress in anticipating variability, organizing data, and applying measures of central tendency and variability. Nevertheless, difficulties were observed when formulating comparative questions, understanding concepts such as sample and variable, and interpreting graphical representations like dot plots and histograms.

References

Aliaga, M., Cobb, G., Cuff, C., Garfield, J., Gould, R., Lock, R., Moore, T., Rossman, A., Stephenson, B., Utts, J., Velleman, P. & Witmer, J. (2005). Guidelines for assessment and instruction in statistics education (GAISE): College Report. American Statistical Association.

Arnold, P., and Pfannkuch, M. (2018). Critiquing Investigative Questions. In A. Sorto, A. White & L. Guyot (Eds.), Looking back, looking forward. Proceedings of the Tenth International Conference on Teaching Statistics, ISI/IASE.

Bargagliotti, A., Franklin, C., Arnold, P., Gould, R., Johnson, S., Perez, L. & Spangler, D. (2020). The Pre-K–12 Guidelines for Assessment and Instruction in Statistics Education II (GAISE II). American Statistical Association and National Council of Teachers of Mathematics.

Batanero, C. (2000). ¿Hacia dónde va la educación estadística? Blaix, 15, 2–13. https://www.ugr.es/~batanero/pages/ARTICULOS/BLAIX.pdf

Ben-Zvi, D. & Arcavi, A. (2001). Junior high school students' construction of global views of data and data representations. Educational Studies in Mathematics 45, 35–65 https://doi.org/10.1023/A:1013809201228

Biehler, R., Frischemeier, D., Reading, C. & Shaughnessy, J. (2018). Reasoning about data. In D. Ben- Zvi, K. Makar & J. Garfield (Eds), International Handbook of Research in Statistics Education (pp. 139-192). Springer. https://doi.org/10.1007/978-3-319-66195-7_5

Burgess, T. (2007). Investigating the nature of teacher knowledge needed and used in teaching statistics [Doctoral thesis, Massey University].

Carver, R., Everson, M., Gabrosek, J., Horton, N., Lock, R., Mocko, M., Rossman, A., Rowell, G., Velleman, P., Witmer, J. & Wood, B. (2016). Guidelines for Assessment and Instruction in Statistics Education (GAISE) College Report. American Statistical Association.

Cobb, G. (1992). Teaching Statistics. In L. Steen (Eds.), Heeding the Call for Change: Suggestions for Curricular Action (pp. 3 - 43), The Mathematical Association of America.

Davidson, A. (2023). A Review of the Use of Investigative Projects in Statistics and Data Science Courses. Journal of Statistics and Data Science Education, 32(2), 188–201. https://doi.org/10.1080/26939169.2023.2240385

delMas, R. (2004). A comparison of mathematical and statistical reasoning. In D. Ben-Zvi & J.Garfield (Eds.), The challenge of developing statistical literacy, reasoning, and thinking (pp. 79–95). Kluwer Academic Publishers.

Espino-Flores, G., Gómez-Blancarte, A. & Inzunza, S. (2023). Exploración del desarrollo de competencia interdisciplinar en formadores de docentes mediante el diseño de proyectos estadísticos. Inter Disciplina, 11(29), 333–357. https://doi.org/10.22201/ceiich.24485705e.2023.29.84494

Flores, A., & Pinto, J. (2017). Características de la enseñanza de la estadística por proyectos. Acta Latinoamericana de Matemática Educativa. 263–271.

Garfield, J., y Gal, I. (1999). Assessment and Statistics Education: Current Challenges and Dircections. International Statistical Review, 67(1), 1–12. https://doi.org/10.1111/j.1751-5823.1999.tb00377.x

Ghinis, D., Chadjipantelis, T. & Bersimis, S. (2005). Experiences from Teaching Statistics Using Directed Projects in Greek Elementary School. Teaching Statistics, 27(1), 2–7. https://doi.org/10.1111/j.1467-9639.2005.00188.x

Gómez-Blancarte, A. & Santana, A. (2018). Research on statistical projects: looking for the development of statistical literacy, reasoning and thinking. In A. Sorto, A. White & L. Guyot (Eds.), Looking back, looking forward. Proceedings of the Tenth International Conference on Teaching Statistics, ISI/IASE.

Gómez-Blancarte, A., Chávez, R. & Aguilar, R. (2021). Un cuestionario sobre la enseñanza de cultura, razonamiento y pensamiento estadístico: la enseñanza de los profesores de educación media superior en México. Statistics Education Research Journal, 20(2). https://doi.org/10.52041/SERJ.V20I2.397

Hancock, C., Kaput, J. & Goldsmith, L. (1992). Authentic Enquiry with Data: Critical Barriers to Classroom Implementation. Educational Psychologist, 27(3), 337–364.

Kuzniak, A., Tanguay, D. & Elia, I. (2016). Mathematical Working Spaces in schooling: an introduction. ZDM Mathematics Education, 48(6), 721–737. https://doi.org/10.1007/s11858-016-0812-x

Makar, K. & Confrey, J. (2005). Variation-talk: Articulating meaning in statistics. Statistics Education Research Journal, 4(1), 27–54. https://doi.org/10.52041/serj.v4i1.524

Makar, K. & Rubin, A. (2009). A framework for thinking about informal statistical inference. Statistics Education Research Journal, 8(1), 82–105. https://doi.org/10.52041/serj.v8i1.457

Molina, M. (2021). Investigación de diseño educativa: un marco metodológico en evolución. En Diago, P. D., Yáñez D. F., González-Astudillo, M. T. y Carrillo, D. (Eds.), Investigación en Educación Matemática XXIV (pp. 83–97). SEIEM.

Pfannkuch, M. & Horring, J. (2005). Developing statistical thinking in a secondary school: A collaborative curriculum development. In G. Burrill & M. Camden (Eds.), Curricular development in statistics education: International Association for Statistical Education 2004 Round Table (pp. 204–218). International Statistical Institute.

Santana, A. (2020). Un estudio con futuros profesores de telesecundaria sobre el aprendizaje de estadística basado en proyectos [Doctoral thesis]. https://doi.org/10.13140/RG.2.2.23230.61766

Secretaría de Educación Pública. (2024). Programa de estudio para la educación secundaria: Programa Sintético de la Fase 6.

Silva, M. & Pinto, S. (2014). Teaching statistics through learning projects. Statistics Education Research Journal, 13(2), 177–186. https://doi.org/10.52041/serj.v13i2.289

Silvestre, E. & Trejo, F. (2024). Exploración del currículum estadístico del nivel secundaria: el caso de la Nueva Escuela Mexicana. In G. Ramírez & N. Obregón. (Eds.), Memorias VIII Encuentro sobre Didáctica de la Estadística, la Probabilidad y el Análisis de Datos Cartago, Costa Rica.

Silvestre, E., Urrea, M. & Medina, M. (2022). How do tertiary students assess sampling on social contexts and media reports? Exploring students’ statistical literacy with relation to sampling. In S. A. Peters, L. Zapata-Cardona, F. Bonafini, & A. Fan (Eds.), Bridging the Gap: Empowering & Educating Today’s Learners in Statistics. Proceedings of the 11th International Conference on Teaching Statistics. ISI/IASE

Vidal-Szabó, P., Kuzniak, A., Estrella, S. & Montoya, E. (2020). Análisis cualitativo de un aprendizaje estadístico temprano con la mirada de los espacios de trabajo matemático orientado por el ciclo investigativo. Revista Educación Matemática, 32(2), 217-246. https://doi.org/10.24844/EM3202.09

Wild, C. & Pfannkuch, M. (1999). Statistical thinking in empirical enquiry. International Statistical Review, 67(3), 223–248. https://doi.org/10.2307/1403699

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Published

2026-02-21

Conference Proceedings Volume

Section

Topic 3: Advancing Educational Practices to Enhance Understanding in Statistics and Data Science