A female primary school teacher who propositioned a 10-year-old boy for sex and had his name tattooed on her chest has avoided jail.

Mother of eight Diane Brimble from Hamilton in Victoria's west, pleaded guilty to one charge of engaging in an indecent act with a child.

The court heard the 47-year-old propositioned the boy for sex when he was at her home to play with her children.

The boy, who suffered Asperger syndrome, rejected her advances saying he was not old enough.

The court heard Brimble told the boy: "You are when you're at my house."

Brimble had his name with an infinity symbol tattooed on her chest, and wrote letters to him declaring her undying love.

The judge read part of one of the letters in court.

"I miss you more than words can say. I can't write how much I miss you because there just aren't enough words," Brimble's letter to the boy said.

"I love you more than you will ever know. There will never be anyone else in my heart."

In sentencing, Judge Mark Taft said it beggared belief that a mature-aged woman would write such a letter to her student.

"I am at a complete loss to understand why you engaged in such utterly inappropriate conduct which must dismay every parent," he said.

"While this is not a case of sexual penetration or of fondling the genitals of a child, your propositioning of a 10-year-old child demands significantly greater punishment and denunciation than the nominal punishment advocated by your counsel."

He sentenced Brimble to a two-year community corrections order.

She will be a registered sex offender for eight years.

Boy believed Brimble had cast a spell on him

The court had previously heard from the boy's mother who told the court Brimble turned her son into a "sexual commodity".

She said they had to move from their community and the boy was placed on antipsychotic medication.

She said it also impacted on his siblings.

"They drew pictures of rainbows and unicorns. He drew black pictures of knives and death," she said, reading her victim impact statement to the court.

The boy's father said his son would not look at his parents as he believed Brimble had cast a spell on him which allowed her to see and hear everything he did.