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Found the answer:
If your stack is "resizable" then the green "Maximize" button will appear!

modal stack "Modal test"

Erm, what does that mean?

* DOH! Never mind

Thanks for that code snippet, DarkKnight. That's the most common way to open a modal stack, and AFAIK the same method used to open the Ask and Answer dialogs.

There must be a difference in the stack properties. If I get some time later I'll see if I can reproduce this on my Mac, and then review the properties of my test stack and the Answer dialog until I find the errant setting.

Thank you for your help everyone. Klaus figured it out. Setting the resizable of the stack to false was the solution.