Being about "how not to use math" and about math as such are pretty different things. It's like you were teaching a class on car repair and assigning a book on consumer fraud.
No. It's like you were teaching a class on car repair and telling your students how to not screw up. e.g. "Do not ever adjust the stabilizer based on popular arguments such as ___ and ___ because it will only screw with the engine and may even cause permanent damage." It's actually very relevant, especially in the early stages of learning.
If you think the system is working, ask someone who's waiting for a prompt.