In January 2013, the museum scrapped its $10 general admission fee and began offering free entry and memberships in exchange for personal information shared by visitors. Participants can also earn points, badges, credits and discounts by participating in certain activities.
In the first year, 48,000 people enrolled in the program.
"By increasing access and emphasizing participation, we are enhancing the DMA's role as a cultural convener in our city," said museum director Maxwell L. Anderson.
The museum has also seen an increase in donations and is building a database that can be mined for valuable information about its audience.
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Taking a cue from mission-driven, for-profit companies such as Toms Shoes and Ben & Jerry's, some museums are getting entrepreneurial about delivering services.
The NEW INC incubator project at the New Museum of Contemporary Art in New York City, which will be a shared workspace for those working in art, technology, and design.
"The goal is to generate ideas that create sustainable business models for creators, who pay membership fees to the museum to work in the incubator and gain access to professional development opportunities and mentors," said NEW INC Director Julia Kaganskiy.
The first deadline for applications is April 1; the space is scheduled to open this summer.
New technology is also transforming the museum visitor experience.
As the technology for capturing and creating sensory experiences becomes better and more effective, museums are moving beyond "lift and sniff" panels and presenting multi-sensory exhibits that incorporate poetry, music, drama, history, dance, performance art and scent.
With their security cameras and guards, museums are already sites of intense surveillance, but "museums can now tap into mobile technology and track a visitor like a blue dot through the galleries," said Eric Hintz, a historian at the Lemelson Center for the Study of Invention and Innovation at the Smithsonian Institution's Museum of American History.
That means visitors looking at a woolly mammoth might get an email message offering them a discount coupon for a woolly mammoth plush toy in the gift shop, said Hintz. "But while it's good to be creative and find a way to help the bottom line, that may creep some people out."
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—By Harriet Baskas, special to CNBC.com. Baskas is the author of seven books, including "Hidden Treasures: What Museums Can't or Won't Show You," and the Stuck at the Airport blog. Follow her on Twitter at
@hbaskas. Follow Road Warrior at