Scientific literature frequently engages with real-world predicaments and their prospective resolutions. The exploration of such literature can serve as a catalyst for innovative problem-solving and the cultivation of inventive ideation. The proposed methodological approach initiates with the re-examination of selected mathematical problems introduced in the annals of mathematics long ago. These mathematical tasks will to be meticulously scrutinized within the purview of GeoGebra touchscreen instructional modules. Within the spheres of learning and professional development, the perusal of scientific literature assumes a pivotal role, providing foundational knowledge and nuanced insights that may be pragmatically implemented in educational and professional milieus.  The learning journey begins with the presence of an antiquarian scientific tome on the educator's desk. This necessitates the formulation of novel instructional methodologies in the proposed context. The judicious amalgamation of these pedagogical paradigms into educational projects carries the potential to engender "meta-mathematical" proficiencies, particularly salient in the context of technological instruction and its associated applications. From a sociological standpoint, this pedagogical shift may substantially recalibrate conventional perceptions of mathematics from an isolating intellectual pursuit to one characterized by harmonious social interaction. This recalibration necessitates a confrontation of established learning paradigms, a challenge which I shall illustrate through relevant examples.