He is all too happy to open the book to where they left off, and continue on with her. 

The ideas are so sparkly!!

He's really delighted at how happy she is at this. (And he has someone to share it with which... he hadn't really realized he wanted. Cute girl is just icing on the cake, in that specific respect. Extremely tasty icing, though.) She's enjoying this so much! 

She iiiiiiis. She is enjoying the math and also the John.

He is happy about both of these things! (Even if one of them is still taking some getting used to.)

After a bit she says, "We should move somewhere so we're not taking up a table with no food in front of us. The nearest park is a five-minute walk away and I bet we can find a picnic table, what d'you say?"

He prefers the indoors to the outdoors, but it's spring and not too warm out yet, (and also it's what she wants,) so, "Sure!"

She bounces up and clears their table and leads the way down the street to the park.

He puts the book and papers in his bag and follows behind to wherever she's leading him.

The park is smallish, with enormous oak trees and a few scattered picnic tables. Rosy picks one where one of the bench planks has been stolen, leaving them forced to sit next to each other on the solitary remaining plank.

Works for him! He sits down next to her and gets out the math book again. The wood is a little aged and warped, so they'll need to write on either side of the notebook to be able to have something to keep the pencil from going through the paper into the holes on the table. This means they have to sit close together, but, John... doesn't mind that so much. 

Oh cozy.

Will he mind if she leans her head on his shoulder? Because she appears to be leaning her head on his shoulder.

He is definitely having some kind of emotion when she does that! The emotion is not minding. (The emotion may be somewhere between delighted and panic.)

That sounds like an emotion Rosy could nestle cozily against.

He is enjoying the sensation of having her rest there (it's warm and soft and nice and caring and sweet) but also should he be doing something in return? She's clearly having a nice time so maybe not but it feels like he should be doing something in return. (Wrap an arm around her? Rest his head on her head?) Also, this is not helping his math skills, though they're not into the areas he has trouble with, yet, so it's not too much of a problem. (They will be next session though. She's smart!)

Rosy does not seem to be slowed down at all by Cozy Math.

Rose is very clever and good at multitasking, then! She's also having many fewer complex emotions than he is, probably. (Should he put an arm around her? He'd have even more math trouble, what with only one hand, but he'd have an arm around her. On the other hand, he doesn't know what he's doing and she might not like it.)

After a few more minutes of Cozy Math she asks, "Are you experiencing emotional turmoil?"

(Aaaaaaaah what does he do?)

"If I say yes," he says slowly, "do I have to tell you why?"

"Only if you want to."

He dithers for far too long. 

"I maybe want to put my arm around you," he says. "But I don't know what or how or if it's a good idea or anything! Also I might have trouble writing math solutions that way."

"I think that would be very nice. And I'm sure the math will survive."

Okay. Okay. His hand..... Goes around her back, careful not to touch anything he's not supposed to touch? 

Cozy! She makes a happy little sound.

Encouraging! Scary, still, but definitely encouraging. What happens if he wraps his arm around her more (still making sure his hand doesn't go anywhere bad) and gently squeezes in an affectionate manner?