Problem-solving

Learn from a Worked Example Without Merely Copying

A worked solution can reveal expert decisions, but copying its lines may hide whether you understand them.

A worked solution can reveal expert decisions, but copying its lines may hide whether you understand them. Use the example to explain why each step is justified, then gradually remove support until you can solve a related problem independently.

Predict and explain

Cover the next step and decide what you would do. Reveal it and compare. Ask which condition permits the move, why the author chose it, and what another valid step might accomplish. Label the role of each line rather than paraphrasing its symbols. For a writing example, identify the function of evidence and explanation. For code, trace the state change produced by each important instruction.

Remove support gradually

After studying a complete example, attempt one with a missing final step, then one with a larger gap. Complete the omitted reasoning before checking. If the gap is too large, return to the exact prerequisite rather than rereading the whole solution without focus. As fluency grows, reduce prompts. The right amount of support depends on prior knowledge; there is no need to rush into an unsupported task you cannot yet meaningfully attempt.

Test independent use

Choose a similar problem with changed surface details and attempt it away from the example. Explain why the method applies before solving. Later try a mixed set so the example’s position does not reveal the strategy. Beginners may need several guided attempts; experienced learners can compare solution styles. A correct independent result is better evidence of usable understanding than a neat copy or a strong feeling of recognition while the model answer remains visible.

Put it into practice

Put it into practice

  1. Study one worked example while predicting each next step.
  2. Complete a partially hidden version.
  3. Solve a fresh problem without the example and explain both your method choice and one step that originally required the most careful checking.
Take this with youWorked examples become learning tools when you explain decisions and progressively demonstrate independent performance.

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