Traversing is the procedure and technique that surveyors use to obtain the coordinates (positions) of new points from the measured angles and distances. Whereas the field observation procedures are presented in our other book Walker and Awange (2020), in this chapter, we introduce to you the various types of traverses and show you the reader the computational aspects together with the relevant checks to ensure that the correct positions of the new points are obtained. Starting with the corrections to the bearings, various approaches are presented starting with use of formulae sheets to undertaking a BOWDITCH adjustment where the linear misclose (i.e., the difference between the position of the starting point and the resulting value from the measured field values) is distributed in a logical way to all the points to be positioned. More advanced techniques such as the least squares adjustment will be considered in our advanced book.