General Pedagogical Knowledge and Teaching Methods
What the domain tests
General pedagogy asks whether you can choose and sequence teaching methods to fit a learning objective, a group of learners, and the available time. You should be fluent in the main families of method - direct/explicit instruction, guided discovery and inquiry, cooperative learning, discussion, problem-based learning, and modelling/scaffolding - and know when each is appropriate.
Concepts to master
Understand the gradual-release model (I do, we do, you do), the role of clear learning objectives, questioning techniques (wait time, probing, higher-order questions), and the difference between teacher-centred and learner-centred approaches. Know that direct instruction suits foundational skills and novices, while inquiry and discussion suit well-prepared learners exploring complex ideas. Recognize the value of feedback, retrieval practice, and spaced review.
Traps to watch for
- Items implying one method is universally best; the correct answer usually matches method to context.
- Confusing cooperative learning (structured interdependence) with mere group seating.
- Choosing "discovery" for a skill novices cannot yet attempt safely.
- Ignoring the stated objective, class size, or time constraint in the stem.
Rule of thumb
Match the method to the objective and the learner's prior knowledge: novices need explicit modelling and guided practice; more expert learners benefit from inquiry, discussion, and open tasks. Ask, "What does the objective require the learner to do, and what support do they need to do it?"
Worked example
Objective: students will solve two-step equations. Because this is a procedural skill new to most learners, the defensible choice is explicit instruction with worked examples, followed by guided then independent practice - not an open inquiry task, which would leave novices without the needed schema.