Puppy has broken three collars trying to get at the dogs that walk by with owners?

Sounds like you need a stronger collar.  Puppy needs some socialization and obedience training from the sounds of it.

What kind of collar and leash are you using?  I assume you are referring to "Debo"; I see you got him  in October of this year, but how old and how big is he? 

I agree with Firestorm that some socialization and obedience is in order for this pup, but what does he do when he reaches the other dog/owner?  If he "smiles", I assume it is not an aggressive gesture, just curious?

Damarcus, we all advised you to get this pup into class - have you?
Is he breaking the collar at the plastic snap?  If so, www.dogidcollar.com has the nylon collars with *metal* slide-in snaps.  If he is yanking you now, he will really be a handful later.  Get going with a positive trainer and get him into a Gentle Leader.

You are hitting the adolescent age and you can count on it lasting at least until 18 months if your lucky. You really need to get him fixed if he's not already, and get into some obedience classes.

ORIGINAL: 2rotten

You really need to get him fixed if he's not already

Sometimes neutering appears to cure, or help cure certain bhvr, but can often have little to no effect or backfire completely.  Usually re-training is still needed.

For a rottie you need a collar approx one and half inches thick.

Your dog is coming into close proximity to other dogs before he has had enough training to enable him to deal with this distraction and remain focused on you and under your control.  IMO opinion this is the crux of the issue and is far far more important that the collar he wears or whether he still has his reproductive organs. 
 
First do some intensive lead training to teach him to walk well beside you - if you've already done this, do it again!  Also teach the "watch me" command.  Teach both of these in the garden and on quiet walks with no distractions initially.  THEN, when you see another dog, stay as far away from it as you can, change direction if you have to to keep away from it.  The key is to stay far enough away that he is not reactive, give the "watch me" command and reward and praise loads for staying calm around the other dog and staying focused on you.  Over time the distance the other dog has to be for her to stay calm decreases.  Use the smelliest tastiest treat you can find for this - it needs to still be attrractive despite a super-high distraction.  Distance will help.  Watch his body language and "catch" him early BEFORE he becomes reactive - if you leave it too late he will NOT be in the right frame of mind to learn and focus.  This approach increases his confidence and ability solidly by degrees, resulting in a good, solid reliable response - ie heeling or sitting beside you and watching you, or returning to you to do so when there is another dog around.

We have a rescue dog (the chi on the left) who exhibits the same behavior, we figure it's because he had to defend himself and his territory in his dumpster days. When we go for a walk, if Caesar sees another dog, the vast majority of the time he is going to go into a barking tantrum and try to chase the dog (no leashes or harnesses broken yet). The previous note offers some good suggestions - thanks!  We've been working informally with distraction techniques, with only a little success. Usually once Caesar laser-locks on the other dog, the battle's lost. Caesar also chases squirrels and birds, sometimes barking, sometimes not. Curiously, Caesar and his "sister" Aphrodite get along splendidly.

ORIGINAL: Chuffy

ORIGINAL: 2rotten

You really need to get him fixed if he's not already

Sometimes neutering appears to cure, or help cure certain bhvr, but can often have little to no effect or backfire completely.  Usually re-training is still needed.

If this were a female, I'd agree that it can backfire, but with males, the likelihood that you will prevent problems is so great that neutering is just about mandatory in any dog that will not be shown in the breed ring.  This is a Rottweiler pup who is getting the better of you, Damarcus.  Would you mind sharing why he is not neutered, and why you aren't in class yet?  If it is for financial reasons, perhaps your local SPCA would be willing to exchange some lessons for a bit of volunteering on your part, and maybe they can help you get the dog neutered, too.

ORIGINAL: Firestorm

Sounds like you need a stronger collar.  Puppy needs some socialization and obedience training from the sounds of it.

 
Yep and in the mean time get to the Tractor Supply or Farm store and get a calf collar. Usually cheaper than in the pet section and made of heavy duty leather.

ORIGINAL: spiritdogs

ORIGINAL: Chuffy

ORIGINAL: 2rotten

You really need to get him fixed if he's not already

Sometimes neutering appears to cure, or help cure certain bhvr, but can often have little to no effect or backfire completely.  Usually re-training is still needed.

If this were a female, I'd agree that it can backfire, but with males, the likelihood that you will prevent problems is so great that neutering is just about mandatory in any dog that will not be shown in the breed ring. 

We'll have to agree to disagree on that one.  Castration won't automatically solve any existing problem.  It can cause or exacerbate fear-related problems in less confident dogs. 

My 1st dog was "dog aggressive" on lead and the vet advised me to get him done.  He told me he was "full of testosterone" and that the op would solve the problem.  It being my 1st dog, I was inexperienced and trusted the vet and followed his advice.  My dog got worse.  I was later told by more than one trainer that taking away his marbles took away his last shreds of confidence = more fear = more problem.  Months after the op he was more reactive to noise and sudden movements, quieter, susceptible to weight gain and his coat changed in texture.  He also developed a dicky tummy and there were lots of things he cdnt eat, but I don't know whether that was related to the op or not.  I am sure the other issues were however.  Having spoke to several other owners, I'd say this is not a very uncommon issue.  I'd advise speaking to a behaviourist to find out if this behaviour is fear related or not and the disposition of the dog before going ahead because the op is not reversible and if it DOES backfire, you have to live with it. 

This might make me hugely unpopular but.....

Neutering can prevent a whole host of problems.  It will prevent him fathering unwanted puppies.  It won't do anything that the right training and good husbandry can't do just as well.  It won't automatically solve an existing problem.  It can exacerbate fear-related problems.  It can cause problems of its own (just one example: some research has been done which shows that early neutering is linked to incorrect bone growth - I'll get back to you on that one as it is highly relevant given your dog's breed) 

Back on topic - I said it once and I'll say it again, your relationship with your dog and the training you give him is *much* more important than the equipment you use or whether he's fixed.  My advice is to concentrate on those first, but that's just my opinion and I doubt its a popular one..... if anyone disagrees, N.O.I.

You won't get any disagreement on the fact that it doesn't solve problems "immediately" (not even training works immediately LOL), but this is, I think, a teenaged owner, with an intact dog that is already getting off lead!  The last thing anyone needs is yet another litter of Rottie mix pups ending up in the shelter displacing the poor dogs that are already there. 
Your example, while correct, is only correct in a very small percentage of cases, and not, at least IMO, sufficient to warrant telling someone not to neuter a dog that will almost certainly be able to get loose to fight or breed once he's big enough, if this young man doesn't get him trained in a hurry.
Damarcus, are you starting class in January???

I think a Gentle Leader would help the dog to stop pulling since it will make him turn around himself if he does, loosing this way the eye contact with the object

Hmmm... I don't think it's such a small percentage of cases, by that's only my experience.  It is relevant though, that the op is not reversible and if it makes the dog worse the OP will have even more of a problem on his hands.  To look at it another way, if the dogs response is rooted in a lack of confidence, then post-op the behaviour could escalate until the dog actually bites - and in my opinion that's worse than the risk of unwanted puppies.  I also think its relevant that the dog is coming into close proximity with other dogs before he has had the training he needs.
 
I agree with espencer that a head collar of some sort would be a useful safety measure in the meantime.  Use it in conjunction with a dbl ended lead, so one end is attached to his collar and one end to the head collar.  I can't see him getting out of that one.  Plus it will give you more control while he undergoes more training.

Bottomline you own one of the dubbed by media "most aggressive breeds of dog".  I owned a Rott and took him to classes and worked with him daily.  I spent alot of time training and socializing with people and other dogs. 
If you want to keep this dog you need to make sure that he is an ambassador of the breed.  He HAS to be well mannered and well behaved at ALL times in public.  This breed already has a bad reputation for owners who do not care.  There is BSL against this breed as well, I do hope you decide to get the training and socialization done.
My rott was wonderful because I put the time in.  He was great with babies, kids adults, other dogs and cats and bunnies.
 

Oooh great post Firestorm - as rottie owners we have to be even more careful than owners of other breeds of dog.  There isn't room for the dog to put a toe out of line or media hysteria and knee jerk BSL follows......  Maybe its unfair but thats the way it is.