The program was a success, and the fair plans to expand it this year.

At the recent Art Basel fair in Switzerland, there were not only tours of the Unlimited section of the fair specifically for children but also a Young Artists Studio section, where young people could experience everything from making their own geometric figures to discovering color with the Brazilian artist Inés Lombardi.

The Aichi Triennale in Japan, which will open Aug. 1, will include a program where artists will work with young people in schools across the region to build a cardboard playground that will later be installed within one of the Triennale’s sites.

The Venice Biennale has a sizable number of activities for children including thematic workshops on subjects like the role art plays in nature, technology and philosophy.

Since taking over her role in 2009 as the director of the Istanbul Biennial (opening Sept. 14), Bige Orer has focused a lot of attention on programming for children, including publishing in 2015 a history of the Biennial geared toward them. This year, with the event’s theme, the “Seventh Continent” of plastic waste, the focus of much of the children’s programming will be on the role between art and ecology.

“It is really important to create a space for children for creativity and discovery and to use it for raising awareness about art and the world around them,” Ms. Orer said. “They are the future generations of our society, so either they will become makers of art or they will become the audience of art.”

For Ilaria Bonacossa, the director of Artissima, the idea to inaugurate a children’s program last year — in collaboration with Turin’s soccer team, Juventus, which brought players to the fair — grew out of the fact that many parents brought their kids in previous years but many galleries gave off a “don’t touch” vibe that did not make young people feel very welcome.