story
"Tell me what you are thinking about right now"
"What is jumping out at you for you to be stalling?"
"Did you see something?" --> "Why?" --> "You seem to be quiet and deep in thought, what are you thinking about?"
etc...
In a normal work environment where he or she is left to think freely the the same candidate might excel.
If the candidate would like some quiet time to think about the solution, I expect them to respond with "I think I'm forming a solution, just give me a couple of minutes to think about it before I present my case".
If they can't even do that, then I'm sorry, but they are no good to anyone. You can be the smartest and best developer in the world, but if you're completely incapable of representing yourself and your ideas; to have a dialog about your work, you are effectively worthless as an employee.
Some companies might have a place for that special someone, who you can lock in a room for a month and he will later emerge with an amazing new piece of code that will solve your problems, shielded from all the problems of the outside world, but companies where that is possible are very rare.
Also, being able to develop like that is very rare because in the real world, requirements change or are vague and need to be clarified, or your software has to interoperate or integrate with other software. There is simply no way to avoid regular communication and still produce something that works how it needs to. Problems where you can shut yourself away for a long period of time certainly exist, but in the grand scheme of software jobs, they're few and far between.
The point is that with this kind of make or break style of candidate vetting you're probably leaving a lot of great talent by the wayside.
The whole point is to make them comfortable and that takes the highest priority. Being able to read the individual and react to them is key, not everyone is the same, hence why there are a multitude of responses, and the ones given are just a starting point.
I.e. if stuck at something, even if seeming trivial, it might pay (to go back or have a chat around it, even guide him/her a bit so as, etc) to get the candidate loosened up and feeling safe which should then yield better responses after.
There is no one-size-fits-all interview technique; if there was, it would be used all over the place. Good interviewing techniques are about playing the numbers, not leaving no programmer behind.
Even if I solve the problem I'm walking out of that interview with a very negative opinion of your company.
I also don't think he was advocating nagging either, simply asking questions to get the candidate talking. If you "go dark" for 10 minutes, you're pretty much definitely stuck. Talking to the interviewer might get you unstuck. Staring at the whiteboard quietly probably will not.
This also isn't your day to day job so you have to keep in mind that these interviews are generally held to an hour length and you can't really give them 30 minutes for a single problem that wouldn't give you much insight into the person.
It also heavily depends on the culture of the company as well. So being able to communicate effectively and act under pressure is something that goes with pair-programming and code reviews.
To note, I have never had anyone ever leave an interview feeling bad about the company or our process, the interview is about the individual.
I still think it was pretty cool way of interviewing.
You're not bothering people while they're taking an expected amount of time to look at it. You're stopping a several minute silence after handing someone a basic loop and if statement.
For most positions we're talking about, this should not be a major problem. I found when doing something similar people either looked at me like I was crazy for giving them such a basic problem and after being reassured there was no catch answered simply and clearly, or just couldn't do anything. Followup questions about the code then went terribly (e.g. a JS contractor asking for £500+/day who didn't know what the difference between global and local variables was, why you should put var in front of things, etc).
These things are often good to weed out the incredible number of people who seem to have little to no coding ability at all for jobs where that's an obvious pre-requisite. I've also had people fail to solve a basic problem (roman numeral generator or reader) at home in whatever language they wanted, not even getting vaguely close. One person even sent in their broken version pasted into a word document.