: Avoiding the "as you know" trope in exposition When writing fiction, especially in universes other than our own such as sci-fi/fantasy genres, the reader often has to be given a piece of information

Many good comments already, but let me toss in a few thoughts.

You mentioned having the ignorant character that others can explain things to. Sometimes this is implausible. Like if the story is set on a spaceship with three astronauts on board, it seems unlikely that there would be one in the three who knows nothing about space travel or astronomy. How did he get included on this mission if he's completely ignorant? But if it's a star-liner with 100 passengers, the idea that one is someone on his first interstellar trip and knows nothing isn't inherently implausible.

I've seen a number of SF stories that have one of the characters teaching a history or science class to a group of children. On the surface, this can be a good technique: Presumably children don't know everything that we would expect adults to know. But if you do this, please, have it make sense in the story. I've seen so many where they show the character teaching a class of children, implying that this character is a school teacher ... and then we never again see him or her doing anything to do with teaching. They apparently just quit their teaching job and run off on whatever adventure. Or there's some really transparent introduction, "Dr Jones is an expert on contacting alien races, and so we've asked him to come here today to," etc. This technique worked with Indiana Jones because it made sense for an archaeologist to be a college professor. Maybe you could work in Captain Kirk being a guest lecturer at Starfleet Academy. But I'd have a hard time believing that Captain Kirk teaches kindergarten in his spare time.

In real life, people often state facts that everyone present knows to make a point, for emphasis, or to establish a context for something they want to say that everyone present does NOT know.

Imagine our own world was a fictional alternate history and you wanted to introduce some historical facts.

If you have the president walk into the cabinet room and declare to his top advisors, "As you all know, I am the president of the United States," and stop there, it would be implausible. But if he said, "I've been president for 3 years. It's time I accomplished something besides attending meetings!" That doesn't sound to me like an implausible thing for someone to say.

Or, "If those troops cross the border, this will be the third time Germany has started a world war." It might well be that everyone present knows about World Wars 1 and 2, but it wouldn't be shocking for someone to say it like this to express his concerns.

"As you know, it takes eight weeks to cross the Atlantic by steamship. With this new invention, the airplane, we expect to cut that to only 12 hours." Yes, everyone present knows the first fact. But someone might well state it to set the stage for the next sentence.

You can mention a known fact indirectly. "If we lose this war, it will be America's first defeat since the Vietnam War." This tells the reader that America fought a war that had something to do with Vietnam and lost, without having to spell it out.

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If you have the luxury, I would say the best advice is to take your time with it, and find a way to get drama out of it. Here's the best example I can think of, the miniseries Oppenheimer, which is an absolute masterclass in exposition. I can't place video embeds, so you'll have to click links:

In this video the problem is set up. We find out a lot about the dynamics in the group: the guy at the blackboard is impatient with his colleagues, Seth is shy, and has difficulty expressing his ideas and we see how calm Oppenheimer is, and how he gives the shy people the time to get their thoughts heard.

For your question, the most important trick they use here, is to have a character explain things poorly and then have another character step in, and simplify the explanation. This makes for a more realistic dynamic, since most people aren't good at explaining things, and it sets up a little tension between your characters.

The point is returned to at the start of the next episode, where Oppenheimer explains the problem to his superior. Again, a very realistic scenario, and a neat trick, since the superior is not a scientist and understands little more about physics than the audience does:

We get some visualization of the problem with props. You can do this in writing too, just create the image of a dented bar of metal. Repeating the problem in different terms and in a different setting is also important to cement the idea (especially at the start of the next episode).

Finally, the solution to the problem lands in their lap, but the scientists are too focused on quick successes to see it:

The nice thing is that we as the audience are actually a step ahead of the characters at this point. We now understand that this solution is valuable, we're rooting for it, hoping that the characters will finally understand it.

That's how the BBC did it: slow and methodical. By contrast, here's the Hollywood approach, quick and dirty. A few props and a cool scene, with little attention to realism or actual exposition:

Seth Neddermeyer is suddenly a lot more expressive and charismatic, and the idea of implosion is treated as a brilliant breakthrough, rather than a relatively simple idea, which would be difficult to execute. But, the audience gets the important elements: there was a problem, and they found a solution, and it's got something to do with oranges. Sometimes, that's all you need: don't explain the problem, pretend to explain, but show only that there's a problem and why your characters care.

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Hitchhiker's Guide used a narrator with humorous effect to provide needed information. The narration never seemed to disrupt the flow, but add to it.

Peter Hamilton provides limited info-dumping while describing the action.

Edit:
For example, the narrator of the Hitchhiker's Guide is describing the Infinite Improbability Drive, which rescues the two main characters after they are ejected into space as follows.

The principle of generating small amounts of finite improbability by simply hooking the logic circuits of a Bambelweeny 57 Sub-Meson Brain to an atomic vector plotter suspended in a strong Brownian Motion producer (say a nice hot cup of tea) were of course well understood — and such generators were often used to break the ice at parties by making all the molecules in the hostess's undergarments leap simultaneously one foot to the left, in accordance with the theory of indeterminacy.

Many respectable physicists said that they weren't going to stand for
this, partly because it was a debasement of science, but mostly
because they didn't get invited to those sorts of parties.Douglas
Adams, The Hitchhiker's Guide to the Galaxy

Hamilton, in his work Fallen Dragon, describes that since alien biology was incompatible with humanity, colonization required, at great expense and difficulty, radiological sterilization of the soil, to eliminate all non-terrain organic material. The information, woven in naturally as the lead character interacts with the world, never feels like an info dump.

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Two additional techniques...

Character Reaction. A character might react in a way that reveals some of the information:

"Mother! What the heck are you doing here?"

Now we know that the person who just entered the room is the character's mother.

Disagreement. You can have characters argue about it. They might disagree about:

The facts
The meaning of the facts
The significance of the facts
What to do about the facts

"Really, Jeff? You invited your mother? On our honeymoon?"

Now we know the the person who just entered the room is Jeff's mother, and that Jeff and the speaker are newly married and on their honeymoon.

With both of these techniques, the idea is to give some character a reason to react, perhaps strongly. The reaction reveals information to readers and viewers.

There are likely other kinds of reactions that can help.

EDITED TO ADD techniques for everyday, mundane information in response to user568458’s comment.

(I realize my examples below are not screenplay examples. Adjust as necessary to make them observable.)

If the thing is truly everyday and mundane, consider what makes it so. It's precisely this: You don’t have to think about it. You don’t have to interact with it. You don’t have to even notice it. It’s just there. It just works.

These essential features of mundanity suggest some additional techniques.

Interaction. Give a character a story reason to interact with it. If the interaction is mundane, the audience will pick up on the mundanity of it.

Chaz downed the last of his coffee, stuffed the baby into the transporter, kissed his wife goodbye, and headed out the door.

Decision. Make the mundane thing a factor in some decision the character must make.

Chaz downed the last of his coffee and squinted at the baby transporter. He glanced at his watch. Not enough time to drive the baby to the learn-o-vat and still get to the Hair Emporium in time for his Pompadour appointment. So he stuffed the baby in the transporter, kissed his wife goodbye, and headed out the door.

Break it. An everyday thing is mundane only as long as it works. If you break it, the character will at least notice. If it’s important, the character will react to it, and perhaps interact with it.

Chaz downed the last of his coffee, stuffed the baby in the transporter, and kissed his wife goodbye. As he reached for the door, he noticed the baby’s shoe still in the transporter. That was odd.

Specialist. Introduce a character whose vocation is to make sure mundane things remain mundane for everyone else. Plumbing is mundane… unless you’re a plumber. And it's less mundane to the plumber because the plumber must interact with it, must deal with the specific details of this specific plumbing.

Omit it. Finally, an easy, always-available option for avoiding info-dumps: Omit the information. If nobody has to interact with it, if nobody has to deal with it, if nobody has an opinion about it, if it doesn't affect any characters' decisions, then it doesn’t matter to the story. If it doesn’t matter to the story, leave it out.

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Conflict and/or high stakes decision making makes anything more interesting. So introduce these factors into your info-dump. Your characters aren't just lecturing each other about how the hyperdrive works, they are arguing about exactly what's stopping the damn thing working as they spiral towards a black hole. OK, it doesn't have to be as dramatic as that; you could have a civil but still tense debate between a master spellcaster and her hotheaded apprentice about the ethics of using forbidden necromancy against an evil foe, in the course of which the workings of your world's magic system would be made clear, along with the ominous fact that there is an evil foe massing at their nation's border.

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As best as I can tell, it boils down to the same rule of show/tell. When writing a science fiction or fantasy on the screen or set, you want to show off the world that you've created as best as you can, and not tell about it.

As far as screenwriting is concerned, Stargate Sg-1 was chock-full of exposition, but they made light of it with a scientifically impaired protagonist and a pair of obsessive scientists who always needed to explain things to the protagonist.

It's a real problem, particularly on television. Star Trek and Star Wars both did a fairly good job of keeping exposition to a minimum. However, Star Trek basically wound up defining "techno-babble," and Star Wars was more of a visual science fiction than anything else. They are better, albeit cliche, examples of non-exposing sci fi than Stargate.

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