Choose a teaching method by what students need to do next. Use explanation and worked examples to introduce a process, guided practice to reveal misunderstandings, discussion to compare reasoning, and independent questions to check whether students can apply it. No single method is best for every topic or learner.
A practical choice guide
| Method | Useful when | Check before moving on |
|---|---|---|
| Explicit explanation with a worked example | Students are meeting a process for the first time. | Can they explain why a step is needed? |
| Guided practice | They know the idea but need help applying it. | Can they complete the next step without a hint? |
| Think, discuss, explain | Different approaches or misconceptions are worth comparing. | Does each learner commit to an answer before discussion? |
| Independent retrieval or practice | You need evidence of what learners can recall or use themselves. | Can they solve a fresh task without copying? |
The US Institute of Education Sciences recommends practices including spacing learning and alternating worked solutions with problem solving in its instruction and study guide. Treat these as principles to adapt, not a promise that one timetable will improve every class’s marks.
Worked example: teaching linear equations
The following is an original illustrative lesson, not a measured intervention. Start with 2x + 3 = 11. Explain that subtracting 3 from both sides preserves equality, giving 2x = 8; dividing both sides by 2 gives x = 4. Check by substituting 4 into the original equation.
Next, show 3x + 4 = 19 with the first step missing. Ask students to write that step independently before discussing it with a partner. Ask one pair to explain why subtracting 4 is appropriate. Give 5x + 2 = 22 as an independent check. Its solution is x = 4, but the reasoning must still be shown; the repeated answer alone is not evidence of understanding.
Make discussion accountable
Give learners a precise prompt: “Which step preserves equality, and why?” is easier to evaluate than “Discuss equations.” Ask everyone to write an initial response. Invite competing explanations respectfully, then close with a clear resolution. A confident speaker should not become the only evidence you collect about the class.
Adapt for a large or mixed-readiness batch
- Keep the target objective shared, but offer prerequisite support where needed.
- Use a brief written response so quieter learners are represented.
- Prepare an extension that asks for explanation or transfer, not simply more items.
- Check visual readability and language demands before interpreting silence as confusion.
- Use temporary support groups based on current evidence rather than permanent ability labels.
Plan the check alongside the explanation
Use the lesson-plan template to specify an objective, worked example and independent check. The assessment guide explains how checks serve different purposes. If you prepare draft questions with the AI test generator workflow, solve and review them before class. AI-generated variety is not a substitute for a deliberate teaching sequence.