Police arrest man, left, with Amanda Carter's murder.

Police arrest man, left, with Amanda Carter’s murder.

Police have charged a 64-year-old man with the murder of a maths teacher three years ago.

The man was arrested on Saturday morning at a home in Bonnells Bay and taken to Wyong Police Station.

Central coast teacher Amanda Carter was found dead by her youngest daughter in a bedroom of her Ivory Crescent home, at Woongarrah, on a Sunday morning in May 2010.

Erin Carter, daughter of murdered NSW Central Coast teacher Amanda Carter.

Erin Carter, daughter of murdered NSW Central Coast teacher Amanda Carter.

The 46-year-old mother of three had been involved in a relationship with a man that ended about four to six weeks before her murder, according to neighbours. At the time of her death, police would not say if they spoke to the ex-boyfriend or any of his associates.

Officers treated the death as suspicious but ruled out a bungled robbery or home invasion as nothing had been taken from the home.

Neighbour Wendy Beament reported hearing a loud thud coming from Ms Carter’s home the night before she was found dead.

Mrs Beament told Fairfax Media on Saturday she was happy to hear of the police arrest.

“People that I’ve spoken to are happy that they’ve finally caught someone,” she said.

“I just hope this is closure for the kids.”

The 64-year-old man was expected to appear at Gosford Bail Court on Sunday.