Final answer:
Generalization and extrapolation are key abilities for students to demonstrate concept knowledge by applying information to different settings without teacher prompts.
Step-by-step explanation:
Generalization is the ability for students to demonstrate concept knowledge by applying the information to other settings without prompts from the teacher. This involves connecting concepts in different domains to make connections and draw conclusions across different areas of knowledge. For example, in math, students might use the concept of multiplication to solve problems in real-life situations, such as calculating the total cost of items in a shopping list. Extrapolation is another aspect of this ability, which involves extending information or ideas from known situations to new, unfamiliar situations. This requires students to think critically and apply their understanding to new contexts. Overall, the ability to demonstrate concept knowledge by applying information to other settings without prompts from the teacher is a key indicator of a student's understanding of the subject matter.