TPACK: Technological, Pedagogical and Content Model Necessary to Improve the Educational Process on Mathematics through a Web Application?

This quantitative research aims to analyze the design and implementation of the Web Application on the educational process of the Linear Function (WALF) considering the TPACK (Technological Pedagogical and Content Knowledge) model and data science. The sample consists of 45 students who studied the Basic Math course at a Mexican university during the 2015 school year. The TPACK model allows the planning and organization of WALF through technological knowledge (HTML and PHP languages), content knowledge (formulas on the linear function and slope) and pedagogical knowledge (data simulation). The results of machine learning (linear regression) with 50%, 60% and 70% of training indicate that the contents of WALF influence the assimilation of knowledge about the identification and evaluation of the linear function. Data science identifies 2 predictive models on the use of WALF in the field of mathematics by means of the decision tree technique. Finally, the TPACK model facilitates the implementation of technological tools and construction of educational virtual spaces through technological, content and pedagogical knowledge.