Square dancing is featured in an Arthur book:

Arthur and Francine are a square-dancing duo in gym class. When Muffy tries to switch partners (she’s saddled with Binky Barnes!), Francine refuses to trade. “Francine won’t share Arthur with me,” Muffy complains to Binky. “She acts like she owns him.” That’s all Binky needs to hear to put two and two together — Francine and Arthur are in love!

You can also watch the episode of Arthur (an animated show) that features square dancing here, but I have to warn you that what they are doing looks NOTHING LIKE SQUARE DANCING!