Aggressive puppy

it also helps to initiate a fun game BEFORE the pup goes into hyper mode. You know when he's likely to do it, so try to catch him doing something good (like sitting or lying down or potty in the correct place) and start a fun game with him.
 
Note that when dogs use their "hands" on each other it is to invite attention. So you push your dog with your hand, you're inviting him to play.

ORIGINAL: spiritdogs

Pushing a puppy away sends him the message that you either want to play or you are being aggressive. 

 
If you are aggressive at the moment of pushing yes, if you are playfull at the moment of pushing yes, if you are calm, serious, and really meaning the play time is over then no, dogs sense the energy you project, i thought you knew that Anne, is all about the attitude you have at that moment

Thanks, Anne--I meant to take some time and edit my response to say just give the raw bone for a few minutes at a time, until the dog has "built" up to it.
 
Thanks for taking my post to the place it needed to go!
 

Ending the game is up to the owner.

When my pup is in hyper mode I make the" Sshh" noice, and put my hand on his neck, he seems to respond to that, and once he has settled down, then I deal with him[]

I'd suggest getting a squirt bottle. Every time he bites, squirt and say "NO" or "ouch!"

Wow! Thank you all for your support.  We are trying these methods although we have to be careful with anything he puts in his mouth, as he has had diarrhea for a while and our vet has advised he only eats his puppy food until he gets better.
 
I hope you don't mind me asking another question.  Tonight, whilst we were eating our tea, our pup kept jumping up at us (I guess to try get some food).  Ignoring him and praising him when he got down was working well, when out of the blue he leapt up and sunk his (very sharp) teeth into my wifes forearm (drawing blood).  She was genuinely yelping (and crying in agony) but he wouldn't let go.  I had to lift him off and hold him (very gently and calmly) till he stopped trying to bite everything in his immediate vicinity (I know this may not be the correct approach, but I had to act quick as my wife was genuinely in agony).  This is our first dog, and I'd really appreciate it if someone could tell me if this is normal for a puppy, and if anyone can give advice about how to deal correctly with this kind of situation we would really appreciate it.
 
Thanks again, you have all been amazing.
 
P&A

Puppies generally are very "nippy" and can play a little rough.
 
Keep this dog in another room, or in a crate at all time while you are eating. Do NOT allow thisd behavior.

Does this puppy have a crate?  I'm not suggesting it as a punishment (BIG crate no-no!) but as a place to calm down when you see him getting wound up like this.  You need to learn to read his behaviour so you can step in before he does this.
 
Without seeing him, his body language and the scenario it's hard to make suggestions. My guess would be that ushing him away in the past confused him as to the unacceptability of the biting behaviour, so his bite inhibition is extremely poor, he does it frequently and he's doing it harder because there are no real consequences.  I also think praising him during your meal may have confused and frustrated him - putting him away somewhere with a bone, chew or Kong might be a better course of action for mealtimes in future.
 
When we had a bull terrier, his bite inhibition was dreadful.  He was never aggressive, just playful, but his jaws were strong and it hurt A LOT.  The OH tried pushing him away, pinching or slapping him and nothing fazed him - if anything it made him worse.  So this is what we did:
 
When his teeth touched us, even if only in play or by accident, the person "bitten" yelled OUCH! and that was a signal for everyone to get up and leave the room instantly.  We left it about 5 minutes and then came back in.  We did this every time his teeth touched a person, leaving him longer each time.  (Get a heavy throw to protect your furniture and increase the number of wee-breaks he has to minimise accidents while your back is turned at these times.)

There is some great advice here.  From a "New Puppy Mama" I say thank you.
 
I am definitely going to try the frozen route.
 
I have figured out that my pup gets aggressive when he is tired.  When he starts to get mouthy it is time for bed.  I crate him & say "bed" when I put him in it.  He is usually asleep within minutes.
 
He is just like me.  He gets cranky when tired! []

Puppy teeth are sharp!  Getting him into puppy class will help - they tend to learn bite inhibition from the other puppies better than from humans LOL.  If you have a training center near you, get him enrolled asap - don't wait.