I don't teach or recommend so-called "purely positive" methods that allow misbehaving pups to continue misbehaving, instead of teaching them which behaviors are and are not allowed. "Purely positive" is fine for teaching tricks and high-level competition exercises, but NOT for teaching the solid good behaviors that all family dogs need to know, and NOT for stopping behavior problems such as barking, jumping, chewing, nipping, chasing, etc.
Every dog needs to learn to walk on a leash. Besides the fact that most areas have leash laws, there will be times when keeping your dog on a leash is for his own safety. Learn how to introduce your dog or puppy to the leash, then teach him how to walk properly on the leash, even beside you on a bike. A loose leash walk teaches your dog not to pull or lunge when on ​the leash, making the experience more enjoyable for both you and your dog. 

If you’re a bit of a control freak and you expect your puppy to have mastered all of your commands in the first couple of weeks, you may be disappointed. Young puppies, in particular, have a lot to take in in the first few weeks as they settle into their new home away from their mom and litter mates. Start off with two or three commands at the most – sit, come and down should take priority – and don’t move on to new commands until such time as your puppy has mastered the basics.
With your dog sitting at your side, set off and give the command “heel” (so that your dog is aware you are about to move). If the dog gets ahead, stop and encourage it back to your side with a titbit. Repeat. To begin with, stop every three to four paces to praise your dog and give a titbit. Do not use your voice unless your dog is at your side. You can also practise this off-lead in a secure area – this makes you work really hard at keeping your dog with you, rather than relying on the lead.
As part of your puppy’s training, then, you should do everything you can to ensure that your puppy can’t get into trouble in the first place. That way you can avoid giving your puppy lots of ‘negative’ attention which might inadvertently encourage his bad behaviour. For example, if you use a crate, or confine your puppy to one room of the house, he is far less likely to get into trouble chewing something he shouldn’t, or peeing somewhere he shouldn’t.
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