In this paper, we study to express the theory of curves including a wide section of Euclidean geometry in terms of dual vector calculus which has an important place in the three -dimensional dual space D 3 . In other words, we study DAW (k)-type curves (1 ≤ k ≤ 3) by using Bishop frame defined as alternatively of these curves and give some of their properties in D 3 . Moreover, we define the notion of evolutes of dual spherical curves for ruled surfaces. Finally, we give some examples to illustrate our findings.