My attention is most engaged when I'm not distracted by multiple things at once. I've never been great at multitasking, I prefer focusing all my attention on one thing at a time. For example, if I'm washing the dishes, I'm engaged. If I'm having a one on one conversation with a friend, I'm engaged. However, if I'm talking to someone while I'm washing the dishes, one of them loses out on my full focus. (probably the dishes lose out because I enjoy talking much more than doing dishes!) Additionally, how engaged I am also has to do with how much I enjoy whatever I am currently doing. If it's very tedious and boring, I am less engaged. But I have found, oddly enough at times, if I deem it very important (even if I don't enjoy it) I will force myself to be engaged.