Trap/Memory and Learning/No. 1095
Worked-Example Effect
The worked-example effect is the learning advantage novices gain from studying solved problems over solving similar ones unaided. John Sweller and Graham Cooper studied it in algebra in 1985. It is linked to cognitive load and often weakens as skill grows.
- Evidence
- Well established
- Read
- 6 min
- Links
- 11 connections
- Useful when
- Designing products · Learning and memory · Organizations and bureaucracy
01You've seen this when…
- in life
You are learning to calculate loan payments in a spreadsheet. A solved example with notes beside each formula gives you a method to follow for the next loan.
- at work
A new analyst knows the basic database commands but spends an hour trying to combine two tables. A colleague shares a completed query and explains each part. The analyst then tackles a similar request.
- out in the world
An adult education class starts its first algebra worksheet. Several students barely get past the first line. The instructor works through one equation, explains each operation, and gives them a matching problem.
02The idea
A beginner facing an unfamiliar problem has several jobs at once: understand the goal, choose a method, remember the rules and carry out the steps. Even a successful attempt can leave little attention for understanding how the solution fits together.
A worked example supplies the problem and its solution steps. A well-designed one also explains the decisions behind those steps. The learner can trace a successful method before trying to produce one independently.
The worked-example effect is the finding that novices often learn procedures more efficiently this way than through equivalent unaided problem-solving practice. Researchers assess that advantage through training time, errors and performance on later problems. Simply following a page comfortably gives weaker evidence of learning.
The trap is assuming that independent struggle should begin immediately. Early practice can become a long search for any move that works. Examples give beginners a structure they can then practice, explain and gradually use without help.
03Why it happens
- Unfamiliar steps compete for attention. Working memory holds a limited amount of information at once. A novice may need to keep the goal, several possible moves and each intermediate result in mind. Cognitive load theory explains how this demand can interfere with learning.
- Searching takes effort. Beginners often try moves, inspect the result and backtrack. That search can produce an answer while leaving them with a weak account of why the method worked. A worked solution reduces the search required during initial learning.
- Examples reveal a reusable pattern. Seeing the relationship between a problem and its solution helps learners build a mental structure, often called a schema. With practice, several separate decisions become one familiar procedure, freeing attention for harder parts.
- Explaining the steps deepens study. A learner who connects each step to a rule has more to draw on later. Prompts such as explaining why an operation preserves equality encourage the self-explanation effect. Skimming the answer provides much less information about what the learner understands.
04A worked example
Consider an imagined adult-learning class introducing simple equations. Students have learned that both sides must stay equal. The tutor now has to choose how to spend the next twenty minutes: assign a page of equations, or pair explained solutions with problems students attempt themselves.
The tutor starts with 3x + 6 = 24. The solution subtracts 6 from both sides, giving 3x = 18, then divides both sides by 3, giving x = 6. Beside each operation, the tutor explains its purpose: remove the added amount, then isolate one unit of x while preserving equality.
What it looks like The tutor is doing some of the students’ work. Students complete fewer independent problems during the lesson.
What’s actually going on Beginners get to examine the sequence and its reasons together. Their attention can go toward understanding the method. The tutor then assigns 4x + 8 = 36 and asks students to explain their choices. This checks whether they can use the demonstrated pattern with different numbers.
What would have helped A clear solution, a closely matched practice problem, and a later check without the example visible. Completing the demonstrated equation alone would give little evidence that students can handle another one.
05How to spot it
06What to do instead
- Begin with a problem and an explained solution. Choose an example close to the task the learner will attempt next. Show intermediate steps and the reasons for consequential choices. Keep explanations beside the relevant steps so the learner can read them together.
- Ask the learner to account for each move. Pause before revealing a step and ask what should happen next. After revealing it, ask which rule justifies it. Their explanation gives a better diagnostic than a nod of recognition.
- Pair study with a similar attempt. Follow the example with a problem that uses the same underlying method. Change enough details to require the learner to apply it. Discuss errors while the connection between the two problems is still clear.
- Remove support gradually. Start with a complete solution, then leave the final step unfinished. Later, omit more steps until the learner supplies the whole procedure. This form of scaffolding creates a bridge to independent work. Adjust the pace to the learner’s performance.
- Check independent use after a delay. Put the example away and revisit the skill later. Use a problem with different surface details to check learning transfer. Retrieval practice helps reveal what the learner can produce without the solution in view.
07Where it doesn’t help
Examples offer their clearest advantage when learners lack a method and the task has an identifiable procedure. A polished final answer with unexplained jumps can leave a beginner just as confused as a blank page.
As knowledge grows, detailed guidance can become redundant. Experienced learners may spend effort processing instructions they already understand. This boundary connects to the expertise reversal effect: an instructional method that helps novices can lose its advantage or hinder more knowledgeable learners.
Some carefully designed lessons also benefit from an initial attempt before explanation. Research on productive failure examines how that sequence can prepare learners to understand later instruction. Those findings depend on the task and the follow-up teaching; struggle alone has no guaranteed benefit.
Finally, the ease of reading a solution can create processing fluency. Confidence should be checked against performance on a fresh problem.
08Roots
In their 1985 algebra research, John Sweller and Graham Cooper examined what students gained from the familiar classroom routine of solving equations. A student could spend considerable effort finding the next operation. The researchers wanted to know whether that effort helped the student learn a reusable method.
They compared conventional problem-solving practice with instruction that substituted worked solutions for some of that practice. The examples exposed the route through an equation. Their results showed that this approach could make algebra learning more efficient, giving instructional design a reason to reconsider how soon beginners should work unaided.
The finding became an important part of Sweller’s cognitive load theory. Later researchers studied how learners explain examples, how examples should be arranged and how guidance can gradually disappear. The idea traveled into teaching mathematics, programming and other structured skills, alongside a continuing question: how much support does this learner need at this point?
09How solid is this?
Controlled experiments and research reviews support the effect for novice learning, especially in mathematics and other structured procedures. Its size and direction depend on prior knowledge, example design and the later test; transfer to substantially different tasks is less certain.
10Connections
- Often confused with Processing Fluency
- In tension withProductive Failure
- Part ofCognitive Load Theory, Scaffolding, Expertise Reversal Effect
- See also Deliberate Practice, Feynman Technique, Learning Transfer, Testing Effect, Self-Explanation Effect, Working Memory
+ 1 more in the list
11Origin and sources
John Sweller and Graham Cooper described the effect in their 1985 research on learning algebra. It became a central finding in cognitive load theory.
- [1]Sweller, J., & Cooper, G. A. (1985). The use of worked examples as a substitute for problem solving in learning algebra. Cognition and Instruction, 2(1), 59–89.
- [2]Atkinson, R. K., Derry, S. J., Renkl, A., & Wortham, D. (2000). Learning from Examples: Instructional Principles from the Worked Examples Research. Review of Educational Research, 70(2), 181–214.
- [3]Renkl, A., & Atkinson, R. K. (2003). Structuring the Transition From Example Study to Problem Solving in Cognitive Skill Acquisition: A Cognitive Load Perspective. Educational Psychologist, 38(1), 15–22.
- [4]Kalyuga, S., Ayres, P., Chandler, P., & Sweller, J. (2003). The Expertise Reversal Effect. Educational Psychologist, 38(1), 23–31.
- [5]Kapur, M. (2008). Productive failure. Cognition and Instruction, 26(3), 379–424.
Suggest an edit· Updated 2026-10-02