He said he believed Anderson was known to the front office.
Three people were killed following a shooting at a San Bernardino elementary school, officials said.
Smith's mother, Irma Sykes, said her daughter had been friends with Anderson for about four years before they got married. He reportedly shot her while she was in a classroom "full of special needs kids" before turning the gun on himself, according to ABC7 reporter Elex Michaelson.
Marissa, who had a small amount of blood on her sweatshirt as she talked to The Associated Press, says she hid under the table as soon as she saw the gunman.
His eldest son had just gotten on a bus, he said.
The couple, Syed Rizwan Farook and Tashfeen Malik, were killed by police during a shootout. Officials said they could be there for several hours as police interview them.
"I'm glad my daughter is fine", Angelique Youmans, 31, said as she hugged her 10-year-old daughter. That makes a happy marriage'.
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The shooting comes as San Bernardino has seen a major increase in violence.
He added: "There are two wounded, possible students". One 8-year-old boy died from his wounds. "We believe the two children were the unfortunate recipients of injuries by being in the proximity to the female at the time of the incident", he said. The suspect has been identified as her estranged husband, Cedric Anderson, 53, reports ABC7 and NBC4. A 9-year-old classmate who was not publicly identified was admitted to a hospital, where he was said to be in stable condition.
Police said the teacher was Anderson's wife, Karen Smith.
It's not clear what Smith was teaching at the time of the shooting, but these programs focus on helping children develop social skills and self-control in a less intensive setting so that the child can fulfill his or her academic potential, according to wiseGEEK.
The Los Angeles School Police includes 250 sworn police officers, school safety officers and other specialized units for LAUSD campuses, Zipperman said.
This item has been corrected to show the woman's name is Karen Elaine Smith, not Elaine Smith.
Students at North Park Elementary School - which has around 500 students between kindergarten and sixth grade - were transported to a nearby campus, where they were "being well cared for, having snacks, playing games and watching a Disney movie", the police department tweeted.