Final answer:
The correct answer is 'a) Objective, subjective,' distinguishing the evidence-based methods of the science of teaching from the personal, intuitive aspects of the art of teaching.
Step-by-step explanation:
The science of teaching involves using evidence-based methods and instructional strategies that are systematic, reproducible, and have predictable outcomes. This scientific approach often draws upon psychology, sociology, and other disciplines to develop methods that can be tested and replicated in different settings, ensuring that they are effective across diverse student populations.
In contrast, the art of teaching is characterized by the personal, intuitive, and creative aspects that an educator brings to the classroom. This includes their ability to engage with students, inspire them, and adapt to unique classroom dynamics that cannot be easily quantified. While both aspects are crucial for effective teaching, they represent different considerations in pedagogical practice.