Grading homework assignments and tutoring in a math department can provide valuable experience, but it is not as critical as research experience when applying to physics graduate schools. Admissions committees prioritize candidates with research backgrounds, as they seek individuals who can contribute to faculty projects. While teaching experience is viewed positively, especially for those aiming for teaching assistantships, it does not outweigh the importance of research. Applicants should focus on demonstrating their research interests and professional goals in their applications, avoiding personal narratives that do not align with academic objectives. Ultimately, candidates should consider their genuine interests and career aspirations when deciding how to allocate their time and efforts, as aligning with a program that values their true scientific identity may lead to better outcomes.