Trump heavily promoted the idea of putting "gun-adept" teachers and staff carrying concealed firearms in classrooms and schools to protect students following this month's shooting at Marjory Stoneman Douglas High School in Parkland, Florida, that killed 17 people, most of them students.
He called for bonuses for educators who volunteer to carry a firearm, and said he also wanted action to strengthen background checks and boost the minimum age for the purchase of assault-style weapons.
Expectations were raised that Trump would propose federal legislation on arming teachers, but that no longer appeared to be the case.
"Armed Educators (and trusted people who work within a school) love our students and will protect them. Very smart people. Must be firearms adept & have annual training. Should get yearly bonus. Shootings will not happen again - a big & very inexpensive deterrent. Up to States," Trump tweeted.
The White House did not immediately respond to a request for comment about the president's tweet.
The White House has yet to release a complete plan to address school violence, including who would bear the financial cost, though Trump said during a telephone interview late Saturday with Fox News Channel that a proposal would be put forward "very soon."
Trump said on Twitter that arming educators and paying their bonuses would be "very inexpensive."
Asked on Thursday whether the federal government or state and local municipalities would pay the millions of dollars it would cost to train and arm teachers, White House spokesman Raj Shah said "the policy hasn't been fleshed out," adding "Do we really think that that's too much to pay for school safety?"
Teachers and law enforcement organizations oppose the idea, while several states are considering arming teachers.
Trump spent several days this week hearing emotional pleas from parents and students, including some who survived the Parkland shooting, and others who had lost children in school shootings in Connecticut and Colorado. He also solicited input from state and local officials.
Trump and Vice President Mike Pence have said school safety will be a top agenda item when they meet with the nation's governors next week.
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