In mathematics, representations encompass symbolic notation, graphics, or verbal expressions that convey the fundamental concepts, procedures, characteristics, and properties of the discipline. In this study, situated within the framework of Duval’s Theory of Semiotic Representations, we utilize GeoGebra as an innovative teaching tool. This platform enables us to demonstrate the conversion between algebraic and graphical semiotic representation registers for solving Fourier series with predefined parameters, thereby enhancing comprehension and analytical processes.