During "Stab-A-lot" Marge and Lisa wear different formal clothes than they do in all preceding episodes.
In the promos for this episode, the gag where Bart says he can walk around with Bart Jr. hanging out, then pulls out his frog, the frog's subtitled line "I thought he meant his penis" was removed. The subtitle wasn't removed on Global.
Lisa's wig as Jake Boyman is similar to Homer's hair when he was young.
The Broadway Version of The Lion King is completely parodied by the Itchy and Scratchy Musical, Stab-A-Lot. Its title is a parody of Spamalot. The song "It's Symbiotic" is a parody of the song "I Don't Know How to Love Him" from Jesus Christ Superstar.
The book for the Itchy & Scratchy musical is said to have been written by acclaimed playwright Tom Stoppard.
The song that Otto plays after he lets the girls off is "Breaking the Law" by Judas Priest.
The music that plays in scenes featuring the boys' playground is very reminiscent of the score from Stanley Kubrick's film version of A Clockwork Orange. Both A Clockwork Orange and the episode feature somewhat apocalyptic, violent settings.
In the girls' section of the elementary school, paintings by Frida Kahlo and Georgia O'Keeffe hang on the walls, joined in humorous juxtaposition by a Cathy cartoon, implying an equivalent position in the female-artist pantheon for Cathy Guisewite.
Julianna, the director of "Stab-A-Lot," is based on Julie Taymor, who won two Tony Awards for Direction and Costume Design of the original Broadway adaptation of "Disney's The Lion King."
One Guy Named Moe parodies a Broadway comedy from the late 80s called Five Guys Named Moe.
The experience of Lisa, as stated in Simon Singh's book "The Simpsons and their Mathematical Secrets", is a reference to the life of Sophie Germain, a French female mathematicians in the 19th century, who used the pseudonym "Monsieur LeBlanc" to communicate with other male mathematicians.
Lisa disguising herself as Jake Boyman is very similar to Daniel Hillard disguising himself as Mrs. Doubtfire from Mrs. Doubtfire.
The song that plays during the montage of Lisa studying math is called I Know What Boys Like.
The left part of the school is restricted to boys, but in the girls part, there's a corridor that turns left. that would invade the boys part of the school.
In the class scene, when Nelson finished to drawing a robot with guns for arms shooting a plane made out of guns that fires guns, the class room turned into the theater.
When Assistant Groundskeeper Seymour catches Lisa eavesdropping on the boys math class, she is right in front of the classroom's window, but when she turns around, they are in the middle of the coutyard.
When Bart said they didn't need to do any "girl classes", the theater behind him was full of students, but when the boys started dancing, the theater was empty.
Lisa disguised herself and started going to the boys' school, however this would have resulted in her being marked absent for so long that the family would receive a visit from the state.
Also, there would be no record of Lisa's alter ego 'Jake Boyman' ever existing.