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The present article aims to analyze the competences of young researchers using Geogebra software; Allows to know the shared experience from a quasi-experimental research, in a sample of 27 students of the tenth grade of the educational institution José María Córdoba, 7 of whom were researchers of the proposal "Mathematics Divertida" of the research group "The Pythagoreans" Enrolled in the Swarm project led by the CUN, the purpose was to show the importance of introducing the student in the management of GEOGEBRA as a facilitating tool for the development of mathematical competences as it allows him to visualize and simulate real situations in a dynamic and interactive way; And in turn of the necessity of its incorporation to the curricular plans for the teaching of the mathematics. Results: The referent of the research proposal was the modeling of functions by means of which the student learned to represent mathematically the processes to follow in order to find solutions to a real life problem, besides acquiring the skill to represent the results obtained for A later interpretation and analysis of the results. Conclusion: The student acquired strengths and also detected weaknesses, improved the ability to face new educational realities.

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The objective of the research was to determine the elements that constitute predictors of innovation in engineering and postgraduate programs, when using training strategies based on digital platforms. These media were the PLAD teaching support platform of the Francisco de Paula Santander University in Colombia, and the WhatsApp chat. We worked with a sample of 550 students from educational institutions in the city of Cúcuta and Arauca in Colombia, and Táchira and Maracaibo in Venezuela, belonging to Faculties of Engineering and Basic Sciences. It was a study under the quantitative paradigm, field design and correlational level, which resulted in a mathematical prediction model with the respective assessment of the significance of the variables considered predictors of innovation through the measure of variance with the Alpha of Cronbach. It is concluded that the development of innovation competences through the selected digital platforms is determined in the model by highly reliable variables, these being the development of logical thinking, methodological and research competence, and prior technical training of the student, yielding a coefficient of determination R2 of 0.95 in undergraduate, and 0.875 in postgraduate, at a significance level of 5%. [ABSTRACT FROM AUTHOR]