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Abstract Perceptual learning theory suggests that perceptual grouping in mathematical expressions can direct students' attention toward specific parts of problems, thus impacting their mathematical reasoning. Using in‐lab eye tracking and a sample of 85 undergraduates from a STEM‐focused university, we investigated how higher‐order operator position (HOO; i.e., multiplication/division operators and the presence of superfluous brackets impacted students' time to first fixation to the HOO, response time, and percent of correct responses). Students solved order‐of‐operations problems presented in six ways (3 HOO positions × presence of brackets). We found that HOO position and presence of superfluous brackets had separate and combined impacts on calculating arithmetic expressions. Superfluous brackets most influenced undergraduates' performance when higher‐order operators were located in the center of mathematical expressions. Implications for learning and future directions are discussed about observing eye movements and gaining insights into students' processes when solving arithmetic expressions. 

Mathematics anxiety is a phenomenon characterized by feelings of tension and nervousness towards math (Ashcraft, 2002). Unsurprisingly, it has been extensively documented to be negatively associated with mathematical performance (Ramirez et al., 2018). Research consistently shows that math anxiety impacts cognitive processing abilities and diminishes working memory resources, leading to poorer problem-solving skills and lower achievement in mathematical tasks (Ashcraft & Krause, 2007; Ramirez et al., 2013). It is important to consider students with different math anxiety levels and patterns when creating new math learning interventions, as math anxiety affects how students perceive and learn from mathematical interventions. Recognizing and accommodating the diverse math interventions to math anxiety can help create more effective learning environments. In this dissertation, I will present three studies that examine how math anxiety interplays with math performance and manifests in learning.