The conceptual field of measures of central tendency: A first approximation

Irene Mauricio Cazorla; Miriam Cardoso Utsumi; Sandra Maria Magina

doi:10.29333/iejme/13571

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Irene Mauricio Cazorla ¹ ^* , Miriam Cardoso Utsumi ² , Sandra Maria Magina ¹

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¹ Universidade Estadual de Santa Cruz, Ilhéus, BA, BRAZIL² Universidade Estadual de Campinas, Campinas, SP, BRAZIL^* Corresponding Author

Abstract

This article aims to present a first approximation of the conceptual field of measures of central tendency (MCT), grounded in the theory of conceptual fields. We propose six situations according to type of variable, data presentation (raw or grouped) and amount of data. We revisit specific situations for the mean and exemplify several possibilities for introducing these measures. This is a theoretical reflection and a systematization of the knowledge produced in the area with a view to aiding it teaching in Brazilian basic education (PreK-12). We argue that from the early school years, students should collect data, use concrete and manipulable material, analyze the types of variable and context of data, transform them into different representations and based on the visual observation of data distribution, intuit the location of MCT to then calculate them.

Keywords

measures of central tendency
theory of conceptual fields
basic education
statistics education
teaching of statistics

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This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Article Type: Research Article

INT ELECT J MATH ED, Volume 18, Issue 4, November 2023, Article No: em0748

https://doi.org/10.29333/iejme/13571

Publication date: 01 Oct 2023

Online publication date: 11 Aug 2023

Article Views: 1411

Article Downloads: 1042

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How to cite this article

APA

Cazorla, I. M., Utsumi, M. C., & Magina, S. M. (2023). The conceptual field of measures of central tendency: A first approximation. International Electronic Journal of Mathematics Education, 18(4), em0748. https://doi.org/10.29333/iejme/13571

Vancouver

Cazorla IM, Utsumi MC, Magina SM. The conceptual field of measures of central tendency: A first approximation. INT ELECT J MATH ED. 2023;18(4):em0748. https://doi.org/10.29333/iejme/13571

AMA

Cazorla IM, Utsumi MC, Magina SM. The conceptual field of measures of central tendency: A first approximation. INT ELECT J MATH ED. 2023;18(4), em0748. https://doi.org/10.29333/iejme/13571

Chicago

Cazorla, Irene Mauricio, Miriam Cardoso Utsumi, and Sandra Maria Magina. "The conceptual field of measures of central tendency: A first approximation". International Electronic Journal of Mathematics Education 2023 18 no. 4 (2023): em0748. https://doi.org/10.29333/iejme/13571

Harvard

Cazorla, I. M., Utsumi, M. C., and Magina, S. M. (2023). The conceptual field of measures of central tendency: A first approximation. International Electronic Journal of Mathematics Education, 18(4), em0748. https://doi.org/10.29333/iejme/13571

MLA

Cazorla, Irene Mauricio et al. "The conceptual field of measures of central tendency: A first approximation". International Electronic Journal of Mathematics Education, vol. 18, no. 4, 2023, em0748. https://doi.org/10.29333/iejme/13571