Aims of this study clarify the intrinsic value of Galileo’s law of inertia, which holds significance in the history of science, and the process through which such law of inertia was formed, for educational purposes, and explores a possible conversion of this intrinsic value into an environmental ethical value. The research methodology is to establish a value schema and, through its application, to explore the changes in the active intrinsic value principle of Galileo’s law of inertia based on the history of science. This study derived the following results: First, Galileo professed the value he assigned and discovered as a complete experience to support heliocentrism. Second, he realized his personal religious ideal, or in other words, the ideal of life as a whole. Third, the overall process is to feel a comprehensive and integral expansion of the self. Above all, it shows that the principle of active intrinsic value based on Galileo’s experimental activities has changed and expanded throughout the history of science. One internalizes one’s faith in accordance with the activity-centered value. Only when combined with aesthetic experience does education make one ethical. As general school education does not necessarily guarantee ethics, we must lead our values education toward ecocentric ethics education, which highlights beauty. It shows that these active intrinsic values also extend to ethical values.

The present study, developed under a quantitative approach, explanatory scope and causal correlational design, aims to determine the influence of invisible learning on the research competence of high school students in two private schools in the city of Lima, Peru, whose educational models seek to develop autonomous learning and research through discovery learning and experimentation. Two questionnaires were applied to 120 students of the VII cycle of basic education, one to measure the perception regarding invisible learning with 20 items and the other to measure investigative competencies with 21 items; both instruments underwent the corresponding validity and reliability tests before their application. Among the main findings, descriptive results were obtained at a medium level for both variables, the correlations found were significant and moderate, and as for influence, the coefficient of determination R² yielded a value of 0.13, suggesting that 13% of investigative competence is predicted by invisible learning. These results show that autonomy, the use of digital technologies, metacognition and other aspects that are part of invisible learning prepare students to solve problems of varying complexity, allowing them to face the challenges of contemporary knowledge in an innovative and effective manner.