okay so here is a question...
The engineering firms I have worked at normally have less women than men, and the women usually get more than their fair share of attention from the guys at work (stopping by chatting, flirting, etc)
So do you enjoy this attention or is it ,, oohh gross the old guy is hitting on me again?
I work mostly with men--but few are available and I haven't been available for a long time either. Although it rarely happens now to me, what's really annoying is when your excellent brain gets overlooked or ignored. That pushes my button vs. flirting which is usually easy to squash. You may be sitting in a group brainstorming and come up with a great insight. No one acknowledges it until some guy repeats it and suddenly its golden. I've learned to compensate by jumping in a bit and being more aggressive than I'd naturally be. I clearly request instead of suggesting etc. etc. The problem is that I sometimes find it hard to recalibrate when I'm with females.
I usually cut people slack and zero in on the intention. If an old guy makes some inappropriate joke, but routinely gives me credit for good ideas and treats me (mostly) as another engineer, I can think of him "as a product of his generation".....but I'm never going to see him as modern male that might have had potential if I wasn't married. I married a very modern man and those are the people I'm going to trust and share my true self with--someone on my wavelength that respects my interests and my sense of humor. If an attraction seems to have developed, I'll just chill out and back off and be 100% business for a while until it passes....sometimes it can be amusing or even endearing when some guy just obviously has a huge crush all of sudden...I'm not one to wear the skirt and pumps and cross my legs on the day I have to negotiate the 20K change order, but if some guy has trouble focusing on the work at hand and it's his problem, yeah, I'll push harder on my negotiation...especially if in looking at facts, I deserve to win that one.
I've developed a bit of authority over time -- lots of body language. People didn't touch my belly when I was pregnant. I use that to "encourage" others to treat me how I want to be treated.
A young really beautiful super talented engineer coworker dealt by never wearing makeup, jewelry, or dressy clothes to work -- because doing so aided people in seeing "her" -- and it mostly worked and gave her more authority and credibility with contractors and peers (although she still wanted more). It was always a shock to see her outside work when she was effortlessly drop dead gorgeous. She manipulated her looks and behavior to encourage the behavior she preferred in others.
Here's another intention story - when I was much younger, a 60ish contractor who I knew fairly well just swung his arm around my back and gave a friendly brief one arm buddy hug - it surprised me a little but then I realized he was treating me exactly as he'd treat a male in my role...it made me realize how seldom that happens.....I find I make lots of friendships and establish a comfort level, but it can sometimes take a little longer for me to have everyone comfortable than it might take a male in my role. Usually my projects are long enough that the little lag amounts to nothing in the end. It helps that I had every-hobby-there-ever-was Dad and three brothers, so I find it pretty easy to establish a rapport with men by talking hobbies.
Before I was married, I always had zillions of male friends (yeah, I know) but they treated me a real friend, regardless of how they might have changed our friendship given the opportunity. That's what I want out of male coworkers, too. No flirting at work -- but back in my single days if there was mutual interest, I was all for getting together outside of work to see what developed (as long as there wasn't an ethical issue with our business roles). Now that I'm married, I find it's lots harder to maintain male friendships outside of work...not 'cause my husband cares, but because no one does it, so it tough to get all interested parties comfortable with it and on the same page. It's just too hard - especially with my age group lacking much free time anyway.
So to sum up - if you think you're building brownie points by flirting every chance you get, you're likely wrong. If there's an attraction, either act on it by suggesting lunch, a "grab some coffee with me?" or a drink after work (ie bring it outside the office). If she says "no - I'm busy.", give it up. If she says, "I'm busy, but how's next Monday?" she's interested.
Lots of women will humor you or tolerate your flirting -- but resent it and wish you'd stop (at least at work). Again, if there's mutual interest, outside of work is another story. And if you hit it off outside work, don't bring that back in the office--continue to be professional at work - out of consideration for coworkers and your own careers if nothing else.