Question: I have the following scenario where a person I'm working with is new in the team and they're in a leadership role within the team. 

They asked why something was done a particular way. 

I gave them the reasons. They scoffed at it. 

This behaviour is becoming a pattern, and comes across as a little bit elitist instead of engaging and showing vision. I need to develop a constructive way to respond. 

My question is: **How do you respond when someone scoffs at your reasoned answer to their question?**

Answer: 
Professionalism is key, especially if it worsens and the managers above end up getting involved. I've had to work with folk like that before both above and below me in the corporate hierarchy.

Offer them a chance to suggest an alternative approach, with reasoning. If they scoff at your *'Method A'*, simply politely ask them if they know of another solution. Nothing superior or disparaging on your part, something like *"Not keen on this? If something's unclear, I can over it further. Or has an alternative come to mind?"*

In this case, the scoffer may describe their 'Method B' without actually explaining why it is better. Again, sounding as if you are keeping an open mind can help. *"Sounds good, we could give it a try. Does it do things faster than Method A? Is it easier to maintain or..."*

I've worked with some people who (claim they) don't realise they are making these noises or reactions during discussions. Having an open-minded discussion about alternatives normally reduces the chances of the scoffing happening again or, which could be better, they are more forthcoming with their own suggestions. If worst comes to worst and the situation escalates, keeping the attitude described above means that you and your colleagues are in the clear; the only person displaying somewhat-aggressive behaviour was your superior.
I'd respond with a question.

> 
> I'm confused. You ask me for my input, and then you often scoff at my response. If you genuinely are not interested in what I have to offer, why do you bother asking me for it?
> 
> 
> 

If this leads to an explanation about how this person doesn't mean to scoff, then you can address why it seems like that is the case, and the air has been cleared between you, with improved communications going forward. If the person does mean to, and feels somehow justified, you have already signaled that you are not interested in responding to queries offered in this spirit, and you can explicitly tell him that you are not interested in having these kind of exchanges that offer no one any kind of value.

This really only applies if it seems like what is being scoffed at is your own input. A new set of eyes thinking the existing way is not the best is not uncommon, otherwise, and certainly is not directed at you, unless you personally had a major role in the existing processes being scoffed at.