Resumen

FERNANDO GUSTAVO, Isa-Massa. Proposals for Original Mathematical Models in Artificial Intelligence and Probability Focused on Educational and Technological Quality. Revista Docentes 2.0 [online]. 2025, vol.18, n.2, pp.25-41.  Epub 29-Nov-2025. ISSN 2665-0266.  https://doi.org/10.37843/rted.v18i2.667.

The use of probabilities, as well as artificial intelligence (AI), is a normative and paradigmatic aspect of an idealization of the social sciences, improving how hypotheses created within them are demonstrated and validated. The objective was to demonstrate that solutions to education, a social science, can be found in mathematics, a hard science. A research study was conducted within the positivist paradigm, using a hypothetical-deductive scientific method with a quantitative approach and a descriptive, longitudinal experimental design. Several hypotheses are proposed and demonstrated in four theorems, with extreme methodological and empirical rigor. The methodology is quantitative, and the study design is experimental, involving the development of a sample based on different populations. Data collection is carried out through interviews and experiments. The analysis of data and results uses statistical methods, giving meaning to the information obtained. The discussions stem from the importance of the mathematical and social science approach, and the conclusion is that it is both possible and of relative importance. This conclusion is derived from research in demonstrations and experiments.

Palabras clave : Educational quality; probability in the interval; probability distribution function; artificial intelligence.

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