In a careful and thoughtful way, often when learning or practicing something.
Studiedly can make people think of someone working hard and paying close attention.
Examples:
She studiedly practiced the piano every day.
He studiedly read the book, trying to understand every word.
The boy studiedly worked on his drawing, making sure every line was just right.
The cat studiedly watched the bird, waiting for the right moment to pounce.
The scientist studiedly examined the tiny bug under the microscope, looking for something amazing.
The students studiedly listened to the teacher, trying to remember everything she said.