This research is investigating what Science, Technology, Engineering, Arts, and Mathematics (STEAM) concepts and skills can be developed through the use of GeoGebra in 3D printing for learners at all levels, starting from elementary to the university level. Special attention is given to the mathematical concepts and processes as well as to engineering design behind the GeoGebra 3D constructions and consequent 3D printing contributing to interactive ways of teaching rather than the traditional lecturing. GeoGebra (geogebra.com) is a free, dynamic mathematics software for all levels of STEAM education that brings together geometry, algebra, spreadsheets, graphing, statistics, and calculus in one engine. During the design process, students learn how to create models for 3D printing while further developing their critical and creative thinking as well as conceptual understanding of underlying mathematical concepts. So, instructional design research - from GeoGebra to 3D printing - for mathematical investigations, demonstrates how by identifying different problems around them and finding useful and creative 3D printed solutions, learners understand the significant role of STEAM education in becoming responsible citizens ready to live and work in the digital age. Furthermore, animations are designed to capture and demonstrate all the steps in the process, from the idea of an object to its 3D printed production.