Why does Stanley lie about camp green lake when he writes to his mother?

Stanley lies to his mother about Camp Green Lake to protect her from the harsh realities of his situation. He wants to shield her from the truth about the camp's brutal conditions and the challenging experiences he faces there, believing that a more positive portrayal will ease her worries. Additionally, he may feel ashamed or embarrassed about being in a juvenile detention camp, which leads him to create a more favorable narrative. Overall, his lies reflect a desire to maintain a sense of normalcy and connection with his mother.