I am having a hard time describing what frameworks and structures I used in my last role as a product manager. What is the interviewer looking for?
You want to mention that you use certain structures and frameworks of thought as tools, rather than as strict, one-size-fits-all approaches. No matter what approach you describe, make sure that you signal thoughtfulness. You could mention that you study competitors, conduct statistical analysis, evaluate metrics, develop a strong understanding of the user, question assumptions, or something else that demonstrates how you think outside of the box. You need to show that you know how to model something properly, as well as convey an understanding of why you use a specific technique in certain situations. Mix in small, specific details that demonstrate your insightful approaches.
You should also take a look at the job description to see if there are specific elements listed that you can add into this response. If they are looking for a product manager with Agile experience, you should talk about a time when you used the Agile methodology. Match what they are looking for as much as you can while still being honest with your experience.