One way to approach this is to say something like: "I have a selection of (simplified) problems we've faced recently. They're representative of the sorts of issues you would be taking care of if you join our team. Let me walk you through them one at a time and we can discuss. We'll start just by verbally going over them, then either move to a whiteboard or to a workstation to dig into them a little deeper.
The goal here is to see how well we can communicate with each other as well as your ability to actually do the sort of work we need done."
Imho, there are only three things you really need to know about the candidate:
1) Will this person fit into the current team with the minimum of fuss?
2) Can this person do the job professionally and in a timely way?
3) Is hiring this person a financial risk we're willing to take?
The goal here is to see how well we can communicate with each other as well as your ability to actually do the sort of work we need done."
Imho, there are only three things you really need to know about the candidate:
1) Will this person fit into the current team with the minimum of fuss?
2) Can this person do the job professionally and in a timely way?
3) Is hiring this person a financial risk we're willing to take?