"For many men, the idea of male as breadwinner -- as economic provider -- has been equated with men's identity," he said. "And now I think, it's shifting. So the idea of provider means more what needs to be done for my family."
Rochlen said men are still aware of the stigma of stay-at-home dads but are also actively challenging the notion of a provider's role being solely economic.
"They're helping to redefine not only what a father's job is but what it means to be a man," he said.
But being a man in a woman's world is still not easy. Even making a play date can be fraught with baggage.
"It's still an issue, a taboo in this country to go and hang out at another woman's house," Cohen said. "And it's also difficult to invite another woman, 'Hey, why don't you come over to my house and play?'"
Still, he sticks to his bottom line: The Cohens' priority is the well-being of their children.
"We do it for the kids," he said. "I think any stay-at-home parent does it for the kids, and we're doing this as the best way we can provide and take care of our children."
But the ultimate arbiters, the kids, barely notice the social revolution under way.
What does 7-year-old Josh think about having a stay-at-home dad?
"It's just like a stay-at-home mom, but different," he said.