The boys tell Nanny that Arabella was insulted and then challenged to a race, but Nanny is having none of it. "Old cars are not meant to be raced." Professor Everett comes up with an alternative - feed the data into the computer. The problem is computers can't account for the human element.

Prudence's kite gets stuck in the tree of the local haunted house. The children discover how the house is being "haunted", by whom, and why. Then they have to decide whether to expose the information or keep the secret.

Prudence wishes for a new part in the school play on the first evening star. She finds that she doesn't like what happens for her wish to come true. It turns out to be the best outcome in the end and everyone is happy with their parts.

The boys are going to play "bicycle polo" only Butch can't find a croquet mallet. He grabs and breaks the professor's lucky putter - and they stopped manufacturing them 20 years ago.

Professor Everett has to file a report on conservation of the Blackhawk Wilderness Area. Nanny discovers the children have never been on a campout. Each excuse the professor makes is mysteriously overcome and the family heads into the wilderness where nothing goes as planned.

Nanny receives a letter from a foreign country that makes her cry. The family is torn between wanting to help Nanny and respecting her privacy.

Nanny asks Hal to install an old radio in Arabella; but, mysteriously it only broadcasts programs from 1936.

Professor Everett encounters a tough lady professor who espouses women's lib and challenges his authority. Meanwhile, Francine challenges Hal on the baseball field when she turns out to be a better hitter than he is.

It's a rainy day and the children think it will never end. The professor tells them about a time when it rained two weeks and he and his brother built a canoe in the garage. The children decide to build a raft to sail on Squaw Lake.

Butch's pen pal from Canada comes for a surprise visit.

The professor has a date, but when the replacement sitter shows up she is not suitable at all. The only solution seems to be allowing Hal to fill in. At the restaurant Professor Everett begins to have second thoughts as he overhears and imagines all the things that can go wrong.

Nanny is introducing Butch to the joys of window-shopping when she admires a cuckoo clock. Butch decides to buy it for Nanny, but he's robbed his piggy bank once too often.

Butch raises the ire of a neighbor as part of an initiation of the Oak Street Marauders. Peabody wanted to press charges, but the police talk him out of it. A visit by the whole family doesn't make progress, so Nanny comes up with an idea to try to warm Peabody up o the human race.

Prudence is excited about her first day at school, until she actually has to go. It's her teacher's first day as well, and insisting to Prudence that Nanny only pretends to talk to Waldo doesn't convince Prudence that school is where she wants to be.

Neatnik Hal has had it with Butch's messy ways. He moves out of their room. The distance between the boys is more than geographical, will the brothers resolve their differences?

Nanny's globe-trotting Uncle Alfred turns up busking in the park, and is invited to stay with the Everetts. He tries to coax her to join him on a south sea voyage, and he grants supposedly magic wishes to the kids. They talk him into repeating former glories of when he did a human fly act for a local charity fair.

In previous years, Professor worked with an Italian director in Rome and is intimidated by his celebrity. The director is expected for a presentation at the university, but chooses to have dinner with the Everett family.

Nanny takes in some higher education by taking a course at Proffessor Everett's school, but Everett is wary of the teacher she gets, a hot shot playboy type who teaches the new wave psychology of relationships and sets his sights on making Nanny his next conquest.

Nanny's two oddball aunts come down in the Everett back garden in a hot air balloon, where they are determined to stay for a visit. The whole neighborhood gets involved, and a local Women's Lib group talks the pair into a passive protest by lying down in the street, leading to their arrest.

The professor has his brightest student as a guest for the weekend and his supreme intellect gives those around him an inferiority complex- especially Hal.

The Everett Kids decide to have a birthday party for Nanny but they only guess as to how old she is.

Butch catches the local legendary and huge fish - the day before the fishing contest. Professor Everett has a student whose paper won't be complete until after the deadline. Time is the common factor in working out their problems.

Nanny and the neighborhood kids put on a show to raise money to save an old fountain in the park.

A misdirected invitation to a romantic dinner leads the professor to believe one of his students is infatuated with him.