A former third-grade teacher in Montgomery County, already facing charges of improperly touching two students, has been charged with additional sexual-offense counts involving three more victims, authorities said.

John Vigna, 50, who had worked at Cloverly Elementary School in Silver Spring, turned himself in to county police detectives Thursday and was ordered held without bond. His new charges include three counts of third-degree sexual offense, two counts of sexual abuse of a minor and one count of child abuse exploitation, according to a police spokesman.

Vigna’s attorney, Thomas C. Morrow, said his client is “totally devastated” by what he has called false accusations. “He has emphatically denied all the allegations,” Morrow said. “We look forward to our day in court.”

The additional victims, according to police, contacted detectives after publicity of Vigna’s earlier arrest.

Police described the new allegations as:

John Vigna (Montgomery County Police)

A girl who said Vigna sexually abused her during the 2015 to 2016 school year at Cloverly.

A girl who said Vigna sexually abused her during the 2013 to 2014 school year at Cloverly.

A woman in her 20s, who said Vigna sexually abused her while she was a student at Cloverly during the 2000 to 2002 school years.

Vigna was placed on administrative leave after school officials were made aware of the initial allegations.

That case came to light after an 11-year-old who took a “body safety” class for elementary school students reported the longtime teacher allegedly had been improperly touching her for 18 months, according to court documents. Vigna had taught at Cloverly Elementary School for 24 years, and also helped run an after-school computer club and the school’s student safety patrol.

“I remain deeply troubled by the allegations regarding Mr. Vigna,” Cloverly principal Melissa Brunson said in a letter sent to parents on Thursday. “The behavior that he is accused of is reprehensible and does not conform to the values of MCPS [Montgomery County Public Schools].”

She said the school will host a community meeting at 7 p.m. Monday, with school and police representatives present.