Revisitando o conceito de Mediana na perspectiva dos Campos Conceituais: uma aproximação teórica

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

“…Later, Magina et al (2022) presented the network of concepts and a first proposal for teaching MCT in the early years of elementary school. Cazorla et al (2021b) presented three situations for teaching MCT with raw data and Cazorla et al (2021c) presented a first approach to the conceptual field of the median.…”

“…For some authors there is a median for ordinal variables. However, if the number of data elements is even and the positions (n/2) and ((n/2)+1) are contained in different categories, the median is undetermined, as shown by Cazorla et al (2021c). There is no mean for qualitative variables.…”

“…In Figure 11 we present MCT for raw data based on the example by Cazorla et al (2021c), who use data of the wages of 36 employees. We can see that the mode is meaningless; the median is the mean of the values that occupy the central positions (18 and 19); and the mean is the sum of all values divided by 36.…”

“…In this sense, it is important to have a comprehensive view of MCT to understand the different situations that generate them, the concepts involved, and their properties and representations. Several researchers have therefore carried out studies with different theoretical frameworks, among whom we highlight the group from Granada (Spain), who use the onto-semiotic approach (Batanero, 2000;Cobo, 2003;Cobo & Batanero, 2000;Mayén et al, 2017); Andrade (2013), who used the anthropological theory of the didactic and the theory of conceptual fields (TCF); and the Brazilian group, who use TCF (Cazorla et al, 2019(Cazorla et al, , 2021b(Cazorla et al, , 2021cMagina et al, 2022).…”