We report on a teaching experiment regarding Taylor polynomial approximations at the level of university mathematics teaching. The experiment was carried by using the free dynamic mathematics software GeoGebra. A student group (n = 19) was taught Taylor polynomials with the assistance of GeoGebra while a control group (n = 18) was taught in a traditional way. The theoretical assumptions of this study rest on Variation theory. The data were gathered by doing a post test concerning Taylor polynomials. Our experiment revealed that the answers from the GeoGebra group in the post test were more varied compared with the results in the control group.