Answer:
Allowing children to participate in activity will promote future success in adulthood (Butler, 2006)
Step-by-step explanation:
Paraphrasing is the term used to exhibit meaning of a text using different words, usually using simpler terms. A text is paraphrased to avoid plagiarism.
The correct way to paraphrase any text is to cite the source of paraphrasing.
In the given case, the correct pharaphrasing statement is 'Allowing children to participate in activity will promote future success in adulthood (Butler, 2006)'
This paraphrase conveys the same meaning as in the statement stated in the question by using different and simpler words.