Continuity mistake: When Mary and Laura dive into the lake to rescue the puppies they have their shoes on. As they are swimming around looking for them they are barefoot. When the get out of the water their shoes are back on.
Factual error: As the train is going backwards from the oncoming caboose, the camera pans to the field background and if you watch from right to left, you'll see a white vehicle driving in the background. (00:42:20)
Continuity mistake: When Jason and Laura are flying the kite in one scene, there is heavy rain, thunder, and lightning and dark storm clouds shown in the sky, but on the ground showing the kids, the sun is shining on them (note the shadows).
Factual error: Right as Michael Landon boards the train off his horse you can see a radio tower in the background. Radio hadn't been invented when the show was set.
The Campout - S2-E5
Audio problem: When Laura and Nellie are on the branch going down the rapids they can be heard talking, but their mouths either don't match with what they are saying or don't move at all.
The Campout - S2-E5
Factual error: This episode takes place almost entirely in the mountains. In Minnesota where the show is set, there are no mountains as tall as shown, particularly those that are snow-capped and rocky. The show was shot in California.
Factual error: On the hill to the right of the kids as they walk away, there appears to be a telephone tower on the hill.