The beach trip last week followed a pattern: the Palestinian women went in disguise, which meant removing clothes rather than covering up. They sat in the back seats of Israeli cars driven by middle-aged Jewish women and took off headscarves and long gowns. As the cars drove through an Israeli Army checkpoint, everyone just waved.

Earlier, the Israelis had dropped off toys and equipment at the home of one of the Palestinian women, who is setting up a kindergarten. The Israelis also help the Palestinian women with medical and legal troubles.

Israel’s military, which began limiting Palestinian movement into Israel two decades ago to prevent terrorism at a time of violent uprisings, is in charge of issuing permits for Palestinian visits to Israel. About 60,000 will be issued this year, twice the number for 2010 but still a token amount for a population of 2.5 million. Ms. Hammerman views the permits as the paperwork of colonialist bureaucrats — to be resisted, not indulged. Others have attacked her for picking and choosing which laws she will and will not obey.

The Palestinian visitors came with complicated histories. In most of their families the men have been locked up at some point. For example, Manal, who had never been to the sea before, is 36, the mother of three and pregnant; five of her brothers are in Israeli prisons, and another was killed when he entered a settler religious academy armed with a knife.

She brought with her an unsurprising stridency. “This is all ours,” she said in Tel Aviv. She did not go home a Zionist, but in the course of the day her views seemed to grow more textured — or less certain — as she found comfort in the company of Israeli women who said that they, too, had a home on this land.

Another visitor lives in a refugee camp with her husband and children. Her husband’s family does not approve of her visits (“ ‘How can you be with the Jews?’ they ask me. ‘Are you a collaborator?’ ”) but she did not hide the relief she felt at leaving her overcrowded camp for a day of friends and fun.