Spicer went on to say that Trump is well aware of the agenda-setting power of his digital missives.

“I think there’s this misconception, or there’s this implication, that he’s just randomly tweeting,” Spicer said during a panel discussion with David Axelrod, a former senior adviser to President Obama, and Robert Gibbs, a former White House press secretary under Obama. “He knows exactly where he wants to end up on a particular subject. … He understands the strategic value in certain actions to achieve a goal.”

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In other words, according to his spokesman, Trump knows exactly what he is doing when he shares a 140-character thought bubble. But the media seem less sure of how to respond.

The Fix’s Aaron Blake argued in November that the media can’t — and shouldn’t — ignore Trump’s tweets, even if covering them feels like playing into his hand.

This is the president-elect of the United States. The job comes with the so-called bully pulpit , and what he says matters and will be the subject of debate no matter what the mainstream media does. Everything he says reverberates. It doesn’t matter if he says it on Twitter or at a news conference; either way it’s going to be consumed by tens of millions of people, and the media has an important role to play when it comes to fact-checking and providing context.

I’d add that a blackout of Trump tweets also could be considered playing into his hand, since it would aid his effort to cast the media as an oppositional force.

But some journalists are frustrated by the billionaire’s attempts to direct their reporting — and are questioning whether they ought to let him do it. On Wednesday, before Spicer made his remarks at the University of Chicago, New York Times reporter Eric Lipton launched a debate among journalists — which played out on Twitter, naturally — when he wondered why the media allow Trump to “own the day.”

Clearly there is no consensus on how to handle — or how to be handled by — Trump’s tweets. Some journalists want to stop chasing whatever Trump’s thumbs tap out. Others think the chase is unavoidable and necessary. Still others contend that the chase ought to be done differently.