In this study, the teacher candidates who learnt to find the algebraic equation corresponding to geometric structure of the ellipse in analytic geometry classes were requested to find the algebraic representations corresponding to the structures that contained ellipses in different positions. Thus, it would be possible to determine higher order thinking skills of the teacher candidates' ellipse knowledge in the applying, analyzing, evaluating and creating categories according to the Revised Bloom's Taxonomy. The results showed that the teacher candidates in the Applying category completed the Remembering and Understanding categories since the learning outcomes in cognitive learning domain regarding the ellipse knowledge are in hierarchical order. Therefore, the teacher candidates' overall achievement level was in the Applying category at minimum. In addition, the results revealed that about two-thirds of the teacher candidates were in Analyzing, Evaluating or Creating categories of higher-order cognitive learning domain in terms of analytically examining ellipses.