We are developing a cooking support system that coaches beginners. In this work, we focus on eye movement patterns while cooking meals because gaze dynamics include important information for understanding human behavior. The system first needs to classify typical cooking operations. In this paper, we propose a gaze-based classification method and evaluate whether or not the eye movement patterns have a potential to classify the cooking operations. We improve the conventional N -gram model of eye movement patterns, which was designed to be applied for recognition of office work. Conventionally, only relative movement from the previous frame was used as a feature. However, since in cooking, users pay attention to cooking ingredients and equipments, we consider fixation as a component of the N -gram. We also consider eye blinks, which is related to the cognitive state. Compared to the conventional method, instead of focusing on statistical features, we consider the ordinal relations of fixation, blink, and the relative movement. The proposed method estimates the likelihood of the cooking operations by Support Vector Regression (SVR) using frequency histograms of N -grams as explanatory variables.