"If they could read minds, they would guess a lot more accurately," she says. "Now, portraits, portraits are a different story. A magical painting with the right infusions can preserve a more or less accurate copy of someone's personality, and they can talk and remember things. I don't know how it's done, but I don't think Legilimency is involved. There might be some of the same magic that goes into Pensieves... do you want me to look that up, too?"
Maria opens up one of the lower cabinets and pulls out a flat rolling tray just exactly the right size to support the grey stone basin on top of it. Silvery liquid swirls inside, under a gentle silver mist.
There are indeed small blots of a slightly brighter silver chasing each other through the silver fluid, moving with the endless soothing swirls. Watch one for long enough, and it starts to take on colours - chalkboard green, in most cases. Watch it a little longer, and the colour spreads across the surface until the Pensieve is showing a snippet of memory.
And she is standing in this very room, just behind the past Maria, watching her begin to write those equations on the board. The whole scene has a kind of ghostly, unreal quality, but wherever she turns her attention, individual details are sharp and clear.
If she takes another step, things get misty around the edges.
Another step after that, and when she looks down the stairwell, everything is blurred and silvery; the door behind her, and a bit of the wall around it, is the only clear and solid thing remaining.
That remains the case for an unknown length of time.
Then the whirling sensation from before fades in slowly, and she is flung out of the memory to land on her feet with considerable backward momentum.
"You can go in and look at them in a dish - oh, that's another thing the Pensieve does, though: stabilizing spells to make entry and exit a little less rocky and ensure the vessel doesn't break when you come out. You can put them back after you take them out, no matter where you put them. How much of the memory stays in your head depends on how good you are at pulling them and whether or not you want it to; if you're not very good, it'll still be there, just with most of the detail faded. If you're good and you want to, you can pull one out completely or copy it without affecting the original at all."