What frameworks explain quantum entanglement, nonlocality, and Bell's theorem?

[MatthewER]

I'm a graduate student in physics, and I'm working on a thesis chapter that aims to explain quantum entanglement to a non-specialist audience without relying on misleading analogies like "spooky action at a distance." For others who have tackled this, what conceptual frameworks or thought experiments have you found most effective for conveying the core ideas of non-locality and correlation without classical intuition? I'm particularly interested in how to clearly distinguish entanglement from simple classical correlation and explain the significance of Bell's theorem in a way that is both accurate and accessible. What are the most common misconceptions you encounter, and how do you address them?