Final answer:
Competence generally refers to the ability to perform a task effectively, while capacity is the amount something can contain or a person's legal ability to enter contracts. Factors controlling these include legal guidelines, personal abilities, and physical dimensions in educational contexts.
Step-by-step explanation:
When discussing competence and capacity, these terms broadly refer to an individual's or entity's ability to perform a task effectively or to hold a certain amount of something, respectively. In a legal context, competence can mean an individual's ability to stand trial or make legal decisions, while capacity refers to the legal ability of a person to enter into binding contracts. The factors that control competence and capacity tend to be legal guidelines, individual abilities, and situational contexts. For example, an adult typically has the legal capacity to sign a contract, whereas a minor usually does not.
In other contexts, such as the Measures of Capacity referenced, capacity refers to the volume something can contain, which is quantifiable and can be controlled by physical size or dimension. Competence in this educational context could relate to a student's ability to understand and work with units of measure. Factors controlling this may include educational tools and instructions, mental acuity, and the learning environment.