Consider a lesson plan you might use. Which metacognitive skills/abilities are involved as students gain facility/knowledge in this domain?
Here is a lesson plan I might use to teach the fundamental element of art and design: color.
One metacognitive skill used in this lesson plan is self-explanation. By having the students paint their desired color scheme and then label and write about it, they are testing themselves and internalizing what they have learned. Most of the skills used in this lesson plan will be overt strategies because the students will be physically practicing, testing, and utilizing their knowledge. After the lesson is complete, the students could write a summary of the material they studied which would in turn enhance their memorization of the various components of color theory. In the beginning of the lesson, while the teacher is presenting the material, the students could take detailed notes about the presentation. What is most important for the students to comprehend would be highlighted accordingly so that the students could identify the important information.
Think of an activity or lesson component that explicitly teaches one or more metacognitive and one or more problem solving skills.
Writing the specific name of the color scheme on the back of the painting and providing a description would teach the students the metacognitive skill of creating a summary. This would enhance the students learning and memory and help them distinguish between important and unimportant information. A problem solving skill used could be a heuristic. As the students paint their pieces, they would soon come to realize which colors created a specific color scheme and which are successful and which are unsuccessful. Asking students to create a list of potential changes they would make to create a more successful color scheme would enhance this problem solving process.
I found this website: http://cft.vanderbilt.edu/teaching-guides/teaching-activities/problem-solving/ that offered some interesting insight into how to teach problem solving skills.
Below is a bit from the website that I found useful.