How should I structure my paper tutorial responses to meet my professor's strict requirement for critical analysis?

You need to pivot from describing what the author says to evaluating how effectively they prove their argument. Instead of summarizing the plot or the peer’s claims, focus your commentary on the structural integrity of their logic and the strength of their textual evidence. A great way to start is by looking for the "so what" factor in every paragraph; if you find yourself explaining the content of a scene, stop and ask whether your peer has clearly connected that scene to their broader thesis. If the link feels tenuous, your critique should highlight that gap and suggest how the author could bridge it with more precise analysis of Shakespeare’s language or thematic intent. Try framing your feedback around the tension between evidence and assertion. When you see a claim that feels unsupported, don’t just point it out; explain why the current evidence fails to convince you. For instance, you might note that a specific quote is being used descriptively rather than analytically, or that the author has overlooked a counter-argument that complicates their reading of a soliloquy. This shifts your role from a passive reader to an active interlocutor who is testing the durability of their peer's interpretation. By focusing on the mechanics of their argument—such as the flow of their reasoning or the depth of their close reading—you move away from summary and into the realm of genuine academic critique. If you are evaluating outside help for these tutorials, prioritize feedback that challenges your own analytical depth rather than just fixing your grammar. A helpful peer or tutor should be asking you to justify your critiques rather than telling you what to write. Look for someone who encourages you to articulate the specific reasons why a draft is or isn't persuasive, as this practice will sharpen your own ability to identify those same qualities in your peer's work. Ultimately, your professor wants to see that you can engage with the intellectual rigor of the seminar, so prioritize the quality of your insights over the length of your comments.