Disponibilidad léxica matemática y estadística: análisis comparativo, perfiles estructurales y predicción de repertorios en la media académica

Lexical availability involves the activation of words evoked by thematic stimuli. In mathematics and statistics, having specialized terms contributes to conceptual understanding, especially when intuitive language is articulated with formal language. This study evaluated 402 Colombian high school students (213 girls) from public and private schools with the aim of analyzing lexical availability and repertoire structure in five areas of mathematical interest and three areas of statistical interest. Lexical profiles were also explored using cluster analysis and logistic regression. Geometry and trigonometry were the areas with the richest vocabulary, while inferential statistics showed a limited repertoire and confusion regarding descriptive statistics terms. Two distinct lexical profiles were identified: one with high individual availability and greater vocabulary cohesion, and another characterized by lexical decentralization and low cohesion. Pedagogical implications are proposed for each profile, concluding that it is essential to teach both disciplines with formal use of technical language and its respective contextualization to the student's reality.