On a conference call with reporters, two administration officials didn't explain why that proposal was excluded.
Shah said the proposals will be legislative and administrative and also will include recommendations for states.
Late last month Trump had seemed to support tougher measures, including "very strong" background checks and raising to 21 the age for buying certain guns.
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The proposals were described by the White House on Sunday as the culmination of weeks of meetings the president and senior officials have held since the 14 February shooting at a high school in Parkland, Florida, in which 17 people were killed.
Numerous student survivors have urged Washington to toughen restrictions on gun purchases, but such measures are fiercely opposed by the National Rifle Association, and the Trump plan does not include any substantial changes to gun laws.
The White House announced support Sunday for firearms training for some teachers to protect schools, and has apparently backed off an earlier call by Donald Trump to raise the age individuals can purchase assault-style weapons from 18 to 21, The Washington Post and Wall Street Journal reported.
On background checks and other issues, Trump has offered inconsistent positions on gun control since the Parkland massacre, complicating efforts in Congress to pass legislation in response.
The White House has directed the Justice Department to help states partner with local law enforcement to provide "rigorous firearms training to specifically qualified volunteer school personnel", said Andrew Bremberg, director of the president's Domestic Policy Council.
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Lily Eskelsen Garcia, president of the National Education Association (NEA), the largest professional union in the United States, has said that parents and educators "overwhelmingly reject the idea of arming school staff". John Cornyn, a Texas Republican, and Sen. An administration official said the White House was endorsing those measures because they could both pass in short order, while a bigger background overhaul would have a tougher path in Congress. Chris Murphy, a Connecticut Democrat, which intends to improve the information going into the National Instant Criminal Background Check System by offering financial incentives to federal and state authorities to comply with existing law to report criminal history records. Trump said. "The only way to solve the drug problem is through toughness".
At the Department of Justice, meanwhile, Attorney General Jeff Sessions on Saturday took an incremental step toward banning bump stocks, devices that can make semiautomatic weapons fire like fully automatic firearms.
Although the school safety commission has no timetable to produce recommendations, DeVos insists it's not simply a stalling tactic.
Trump will call on state governments to allow law enforcement officials to obtain court orders to temporarily seize guns from people reported to be unsafe, officials said.
The White House also is expected to voice support for legislation that would authorize $50 million a year on school safety provisions, including training for teachers and students on ways to prevent violence.
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