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The formation of students is integral to education. Strengthening critical thinking and reasoning are essential for the professionals that today's world needs. For this reason, the authors of this article applied Pólya's methodology, an initiative based on observing students' difficulties when facing mathematical problems. The present study is part of the qualitative and quantitative research paradigm and the action research methodology. In this study, the inquiry process was inductive, the sample is non-probabilistic, and the data interpretation strategy is descriptive. As a case study, six students were enrolled onto a differential equations course at the Universidad Autónoma de Bucaramanga. A didactic process was designed using information and communication technologies (ICTs) in five sequences that address first-order differential equation applications. As a result of the pedagogical intervention, problem-solving skills were strengthened. All this was based on asking the right questions, repeated reading, identifying and defining variables, mathematization, communication, and decomposing the problem into subproblems. This research study seeks to set a precedent in the Latin American region that will be the basis for future studies. [ABSTRACT FROM AUTHOR]

In this article, the results on the incidence of the public educational policies of Colombia, of the National Plan of Information and Communication Technologies (PNTIC), in the didactic strategies used by teachers belonging to the official educational institutions of the municipality are shown. of Sincelejo. The research approach was of an evaluative type, considering relevant elements of public policies that involve ICTs, correlation calculations were made. The participants were teachers and students (between 14 and 18 years old), belonging to official (public) educational institutions of the municipality of Sincelejo (Sucre). Various sociodemographic aspects are shown, in the same way dissimilar variables are described regarding the use and application of ICT in teaching practices, perceived by students. Among some of the conclusions of the study, it is highlighted that, despite the fact that most of the students are unaware of the actions of the State of a national and territorial order, regarding these referents, they consider the importance of ICT in their training. [ABSTRACT FROM AUTHOR]