 We derived the expression for the Buss-Hunchen, G-H, and in Bert-Fedorf, I-F, shifts of the airy beam in Dirac metamaterials. The G-H shifts were more pronounced near the Brewster angle compared to the Gaussian beam. Additionally, we demonstrated how the rotation angle of the airy beam could control the magnitude and direction of the G-H shift. This allowed us to design a reflective optical switch based on the rotation angle-controlled G-H shifts of the Dirac metamaterial. Furthermore, our model can also be applied to other similar photonic systems. This article was offered by Chin Chin Yu, Xiong Zhu, and Dong Mei Deng.