CONCEPTUAL OMISSION IN MICROSOFT EXCEL’S STATISTICAL OUTPUT: IMPLICATIONS FOR RIGOR IN MATHEMATICS EDUCATION
Abstract
Spreadsheets play a structuring role in mediating statistical knowledge in educational contexts. This study examines the presentation of dispersion measures in the descriptive statistics report of Microsoft Excel, in its default configuration, with a focus on the consistency between nomenclature and computational procedure. The investigation is based on the analysis of the output generated by the software and on the algebraic reconstruction of the corresponding expressions. The results reveal an internal asymmetry: variance is explicitly identified as sample-based, whereas the corresponding standard deviation is presented without qualification, although it is computed under the same inferential framework associated with Bessel’s correction. This configuration preserves the mathematical coherence of the calculation but introduces a discrepancy in the conceptual explicitness within the report itself. The results indicate that this asymmetry reduces the visibility, within the report itself, of a structuring distinction in inferential statistics by partially dissociating the designation of the measure from its computational criterion. It is concluded that the explicit terminological identification of measures in computational environments contributes to the alignment between automation and theoretical understanding in educational practices mediated by digital technologies.
Author Biography
Writer and university professor in areas related to exact sciences and educational technologies. Master’s degree in Natural Sciences and Mathematics from the Regional University of Blumenau (FURB, 2012). Specialist in Mathematics Teaching Methodology from IBPEX (2006). Bachelor’s degree in Accounting Sciences from the University of the Region of Joinville (UNIVILLE, 2000). Holds a pedagogical teaching certification from the University Center of Jaraguá do Sul (UNERJ, 2006).
References
BORBA, Marcelo C.; VILLARREAL, Monica E. Humans-with-media and the reorganization of mathematical thinking: information and communication technologies, modeling, experimentation and visualization. New York: Springer, 2005. DOI: https://doi.org/10.1007/b105001
BURRELL, Jenna. How the machine “thinks”: understanding opacity in machine learning algorithms. Big Data & Society, v. 3, n. 1, p. 1–12, 2016. DOI: https://doi.org/10.1177/2053951715622512 DOI: https://doi.org/10.1177/2053951715622512
CASELLA, George; BERGER, Roger L. Statistical inference. 2. ed. Pacific Grove: Duxbury Press, 2002.
CHANCE, Beth L. et al. The role of technology in improving student learning of statistics. Technology Innovations in Statistics Education, v. 1, n. 1, 2007. Disponível em: https://escholarship.org/uc/item/8sd2t4rr Acesso em: 18 mar. 2026. DOI: https://doi.org/10.5070/T511000026
FLORIDI, Luciano. The philosophy of information. Oxford: Oxford University Press, 2011. DOI: https://doi.org/10.1002/9781444396836.ch10
GAL, Iddo. Adults’ statistical literacy: meanings, components, responsibilities. In: GAL, Iddo (ed.). Adult numeracy development: theory, research, practice. Cresskill: Hampton Press, 2002. p. 1–25. DOI: https://doi.org/10.1111/j.1751-5823.2002.tb00336.x
GARFIELD, Joan; BEN-ZVI, Dani. Developing students’ statistical reasoning: connecting research and teaching practice. New York: Springer, 2008.
GILLESPIE, Tarleton. The relevance of algorithms. In: GILLESPIE, T.; BOCZKOWSKI, P. J.; FOOT, K. A. (ed.). Media technologies: essays on communication, materiality, and society. Cambridge: MIT Press, 2018.
GONÇALVES, Rafael A.; MEDEIROS, Jonas de. Aplicações tecnológicas em ambiente acadêmico: um olhar sobre o uso de planilhas eletrônicas e seus impactos sócio-mercadológicos. In: CARRARA, Rosangela Martins; ORTH, Miguel Alfredo (org.). Educação e tecnologia na América Latina. Florianópolis: Contexto Digital Tecnologia Educacional, 2018. p. 51–77.
GONÇALVES, Rafael A.; MEDEIROS, Jonas de. Erros sutis, grandes impactos: identificando fragilidades em planilhas eletrônicas. In: GONÇALVES, Rafael A.; MEDEIROS, Jonas de (org.). Tecnologias da informação e comunicação: desafios e perspectivas na integração academia e mercado. Curitiba: Editora Bagai, 2020. p. 143–163.
KNOX, Jeremy. What does the “postdigital” mean for education? Postdigital Science and Education, v. 1, n. 2, p. 357–370, 2019. DOI: https://doi.org/10.1007/s42438-019-00045-y DOI: https://doi.org/10.1007/s42438-019-00045-y
MOOD, Alexander M.; GRAYBILL, Franklin A.; BOES, Duane C. Introduction to the theory of statistics. 3. ed. New York: McGraw-Hill, 1974.
MOORE, David S.; MCCABE, George P.; CRAIG, Bruce A. Introduction to the practice of statistics. 9. ed. New York: W. H. Freeman, 2017.
PASQUALE, Frank. The black box society: the secret algorithms that control money and information. Cambridge: Harvard University Press, 2015. DOI: https://doi.org/10.4159/harvard.9780674736061
SELWYN, Neil. Education and technology: key issues and debates. 2. ed. London: Bloomsbury, 2016. DOI: https://doi.org/10.5040/9781474235952
SKOVSMOSE, Ole. Educação matemática crítica: a questão da democracia. Campinas: Papirus, 2001.
TROUCHE, Luc. Managing the complexity of human/machine interactions in computerized learning environments: guiding students’ command process through instrumental orchestrations. International Journal of Computers for Mathematical Learning, v. 9, n. 3, p. 281–307, 2004. DOI: https://doi.org/10.1007/s10758-004-3468-5
WILLIAMSON, Ben. Datafication and automation in education during and after the COVID-19 crisis. Postdigital Science and Education, v. 2, p. 1–21, 2020.
