I'm dealing with exactly the same thing and I'm sorry to say I haven't figured out anything like an elegant solution. It's killing me.

Fresh fruit out of hand, soup, peanut butter sandwiches, fried eggs, pan-friend steak, steamed veg and risotto is about the most I've been able to accomplish.

Best of luck.

Get a wok. It's versatile enough to cover most cooking needs.

Chop the veggies on your tiny counterspace, and keep them in a bowl in the sink while you work on the rest. Meat can obviously go directly into the wok once it's cut up.

Rice cookers are awesome because they can go in any room and still do their primary function. You can make rice and/or steam veggies!

Also, crock pots are awesome, especially since it's getting colder outside!

The way you describe your kitchen during reno is the way I'd describe my kitchen as is! Except I've got zero square feet of countertop...

My tricks - 1. balance a large wooden cutting board over the sink to act as a defacto countertop while cooking in there.
2. Get one of those rolling storage carts. Put your pots/pans, etc. in the bottom and use the top as another area of "counter space." Since it's on wheels, you can roll it out of the kitchen when you're not using it if it will interfere with the reno.
3. Make lots of one pot meals. Make enough to freeze and then you'll really only need to use one pot or pan to reheat while your kitchen is being worked on.

You can buy a lot of food already "prepped" in grocery stores, like cut-up veggies and chicken breast.

Go to youtube and watch "Cooking with Dog." While she only cooks Japanese food, you see what can be done in a small space with a sink, small counter top, hot plate, microwave and rice cooker. It's pretty amazing.

And the meals she cooks are pretty awesome too!

Thanks all, for the good advice! love these ideas.

Depending on where your dining area is, you can bring your cutting board and tools to the dining table and do some of the prep work there. I used to have a teensy tiny kitchen, with the dining table right next to it (it was an open living/dining area setup), so I did my prep at the table instead of the counter.

the crockpot should become your best friend: http://crockpot365.blogspot.com/

Also, if you can, buy one really big cutting board and chop multiple things on one board, leaving them in little piles. It'll depend on how many ingredients you have to chop whether you'll be able to do this, but I have a giant board that I do this with -- I chop my garlic, push it to one corner, rotate the board 90 degrees and do scallions on the other side, etc.

Depending on your stove, you may be able to put a cutting board over one side's burners to produce more workspace, too. And if your place has already been torn up, or if not then just to make it more fun, maybe you can arrange a cooking day at a friend's place, and prepare a bunch of stuff there that you can freeze now and easily reheat later?

(Actually, you didn't mention a fridge/freezer when you said what you have to work with. If you don't have that for a month due to these renovations, see whether your landlord will rent one for you, or look into borrowing someone's old dorm fridge or getting a cheap used one.)

You can buy ready-prepared cubed or sliced meat (and even veg) from most supermarkets. Or your butcher might slice meat up small for you. Throw these into a crockpot or pan with a handful of herbs or some spices for delicious stews and curries - no need for any prep or even browning the meat, just let it cook away with a lid on whilst you do something else. Accompany with packet microwaveable rice, or bought pitta bread.
I would avoid any sort of frying in a small enclosed space. Stir fries require lots of prepping of ingredients, and frying any sort of meat indoors is not pleasant.

That IS my kitchen more or less always! My solution was/is a little bit of a commitment and does still require a bit of space- I bought a butcher block kitchen cart and use it to store pots/pans/appliances/silverware and use the top as my normal kitchen work space. I would be an absolute disaster without it.