A teacher is faced with the problem of choosing the appropriate teaching method for the transaction of a course content. Which branch of philosophy will most appropriately describe his or her predicament?

The predicament of choosing an appropriate teaching method is described by epistemology, the branch of philosophy that deals with the nature, sources and methods of knowledge.

Because method concerns how knowledge is acquired and transmitted, it falls squarely within epistemological questions.

Metaphysics studies the ultimate nature of reality and being, answering what is real rather than how to teach it.

Axiology deals with values, splitting into the ethics of conduct and the aesthetics of beauty, not with instructional methods.

Logic is the science of valid reasoning and inference, concerned with correct argument, not with pedagogic choice.

Epistemology, from the Greek episteme, contrasts knowledge with mere belief and asks how we can justify what we claim to know.