SASHA Learning Brief

Study, explain, try: learning from a worked example

Use a checked solution to examine one important decision, then attempt a closely related problem.

SASHA Learning Brief · Editorial edition 2026-10-08 · Sources and limitations below

Begin with a method you can inspect

A worked example shows a solution and the steps used to reach it. When a method is unfamiliar, that makes a useful starting point: the learner can examine what the solver is doing before attempting a closely related problem. The teaching question is which part of the reasoning the example makes visible.

This brief proposes a small routine: study a checked example, explain one meaningful decision, then try a similar problem. The routine is an original practical adaptation of established research. It is not a tested SASHA intervention, a guarantee of mastery, or a claim about a new product feature.

Study the goal and the steps

The Institute of Education Sciences' 2007 practice guide recommends alternating worked solutions with similar problems learners attempt themselves. Its evidence rating for this recommendation is moderate. The research behind the guidance was concentrated in structured tasks such as mathematics, science and technology; it does not establish equal effects for every subject or setting.

Consider an original algebra example: 3x + 4 = 19. Subtract 4 from both sides to obtain 3x = 15, then divide both sides by 3 to obtain x = 5. First ask what the solver is trying to find. Then follow how each operation keeps the two sides equal. Keep the explanation beside the steps so the learner can connect the action with its reason.

Explain one decision

Choose a point where the method depends on a rule. In the algebra example, ask: why subtract 4 from both sides? A useful explanation connects the operation to preserving equality and isolating the term containing x. If that rule is unfamiliar, model the explanation and check it together rather than expecting the question alone to supply the missing knowledge.

Renkl and colleagues' 1998 randomized experiment involved 56 banking apprentices learning interest calculations. Its public abstract reports benefits from eliciting self-explanations on transfer problems, with prior topic knowledge affecting the pattern. This supports a bounded claim about the tasks studied. It does not establish that a single spoken explanation improves long-term learning in every subject.

Try a closely related problem

After studying the first example, try 4x + 7 = 23. Subtracting 7 from both sides gives 4x = 16; dividing by 4 gives x = 4. Check the reasoning as well as the answer. If a step needs attention, return to that step in the worked example and explain the connection. This exercise is an illustration, not a validated assessment.

Atkinson, Renkl and Merrill's 2003 experiments combined worked examples with progressively omitted steps and prompts about underlying principles. University students and advanced-algebra high-school students worked on probability tasks. The prompts were structured choices with correctness feedback. Findings about transfer within those probability tasks should not be presented as proof of general reasoning gains or a universal benefit from simply asking why.

Adjust how much support remains

The IES guide advises using fewer worked examples and more independent solving as expertise develops. Partially completed examples can help make that transition. The practical decision is what this learner can currently explain and perform, rather than following a fixed rule that every example must disappear after the same number of attempts.

For instance, an educator could leave the first transformation visible and ask the learner to complete the next one. On a later attempt, more of the method could be left to the learner. If the response reveals a gap, restore the relevant explanation. This is a suggested teaching adjustment; the cited studies do not validate this exact sequence for every learner.

Make the next teaching decision visible

Teachers and tutors can choose one checked example, one decision worth explaining, and one related attempt. Families can use the method and materials supplied by the educator rather than introducing a conflicting procedure. A short note can distinguish following a demonstrated step, explaining its purpose and completing a related problem. These observations describe different parts of the work.

When reviewing a learning tool, ask how it presents a worked solution, makes the reasoning inspectable and lets the learner attempt the next step. Use fictional content for the demonstration. A working interface can show what the tool does; separate evidence is needed to establish educational impact. For the next lesson, choose one decision you want the learner to be able to explain.

Sources and further reading

These sources inform the discussion; they do not certify SASHA or establish its effectiveness. Follow each link to inspect the original context.