The student's parents will pay half of the first-year cost, which is $12,000.
The academic scholarship will pay an additional $500, leaving the student with a remaining cost of $24,000 - $12,000 - $500 = $11,500 for the first year.
If the student wants to pay off the remaining $11,500 by the end of 12 months, they will need to save an average of $958.33 per month.
Therefore, the minimum amount that the student will need to save every month is approximately $958.33.