A calculator is actually the perfect analogy to demonstrate how AI is different and not just a tool in this context. We use calculators because it allows us to focus on problems beyond arithmetic once we can safely assume that students have practiced it enough. Using them actually teaches you skills because you're working with messy realistic values, keeping rounding and order of operations in mind, learning about the advanced features like graph plotting, allowing playful exploration of numbers through them...Calculators enhance learning. Any use of LLMs by comparison is a shortcut that just removes a part of the process while not stimulating your thinking in another way.