Earlier quoted context omitted.
I love the idea of educating students on the math behind AI to demystify them. But I think it's a little weird to assert "AI is not magic and AI systems do not think. It’s just maths." Equivalent statements could be made about how human brains are not magic, just biology - yet I think we still think.
That's where these threads always end up. Someone asserts, almost violently, that AI does not and/or cannot "think." When asked how to falsify their assertion, perhaps by explaining what exactly is unique about the human brain that cannot and/or will not be possible to emulate, that's the last anyone ever hears from them. At least until the next "AI can't think" story gets posted. The same arguments that appeared in…
Conversely, if the one asserting something doesn't want to define it there is no useful conversation to be had. (as in: AI doesn't think - I won't tell you what I mean by think)
PS: Asking someone to falsify their own assertion doesn't seem a good strategy here.
PPS: Even if everything about the human brain can be emulated, that does not constitute progress for your argument, since now you'd have to assert that AI emulates the human brain perfectly before it is complete. There is no direct connection between "This AI does not think" to "The human brain can be fully emulated". Also the difference between "does not" and "can not" is big enough here that mangling them together is inappropriate.