Examples and worked examples can improve learning when it makes an important relationship visible and then helps the learner reproduce that relationship independently. Students, parents and teachers searching for examples and worked examples, effective learning strategies, study skills, worked examples, understanding, memory, transfer and exam preparation need more than a collection of tips.
This eduKateSG workbook connects examples and worked examples with retrieval practice, feedback, error correction, comparison, independent practice and transfer across English, Mathematics and Science. The first three paragraphs deliberately cover high-value search language while keeping the article readable and instructional.
The central proposition is capability transfer: support succeeds when the learner can later identify the relevant relationship, make the decision, check it and apply it without the original model. The exercises are original educational material rather than official examination questions or guaranteed outcomes.
Your 50-second route
Choose the chapter closest to the present difficulty. Attempt a small task first. Study the model or explanation, identify what controls the decision, and then solve a changed case without looking back. Check the result, repair the first meaningful error and return later. If the learner already performs accurately in mixed work, reduce support rather than adding unnecessary explanation.
1. What an example makes visible
Begin with one concrete case and ask what the learner should notice. Separate the visible surface features from the relationship that makes the case useful. A good response identifies a condition, structure, meaning or causal link that could guide another problem. If the learner cannot identify it, provide a clear model rather than extending a guessing sequence.
Next, change one consequential feature. Ask what remains invariant and what must change. A near contrast can reveal the boundary of a rule more efficiently than several nearly identical repetitions. Keep early contrasts simple enough that the intended distinction is visible; later mixed work should remove the helpful heading and require method selection.
Finish with independent transfer. Change the context, representation, wording, numbers, audience or purpose while preserving the principle. Record whether the response was independent, cued or modelled. Delayed independent use is stronger evidence than immediate recognition beside the original example.
2. Examples versus definitions
Begin with one concrete case and ask what the learner should notice. Separate the visible surface features from the relationship that makes the case useful. A good response identifies a condition, structure, meaning or causal link that could guide another problem. If the learner cannot identify it, provide a clear model rather than extending a guessing sequence.
Next, change one consequential feature. Ask what remains invariant and what must change. A near contrast can reveal the boundary of a rule more efficiently than several nearly identical repetitions. Keep early contrasts simple enough that the intended distinction is visible; later mixed work should remove the helpful heading and require method selection.
Finish with independent transfer. Change the context, representation, wording, numbers, audience or purpose while preserving the principle. Record whether the response was independent, cued or modelled. Delayed independent use is stronger evidence than immediate recognition beside the original example.
3. Correct examples
Begin with one concrete case and ask what the learner should notice. Separate the visible surface features from the relationship that makes the case useful. A good response identifies a condition, structure, meaning or causal link that could guide another problem. If the learner cannot identify it, provide a clear model rather than extending a guessing sequence.
Next, change one consequential feature. Ask what remains invariant and what must change. A near contrast can reveal the boundary of a rule more efficiently than several nearly identical repetitions. Keep early contrasts simple enough that the intended distinction is visible; later mixed work should remove the helpful heading and require method selection.
Finish with independent transfer. Change the context, representation, wording, numbers, audience or purpose while preserving the principle. Record whether the response was independent, cued or modelled. Delayed independent use is stronger evidence than immediate recognition beside the original example.
4. Non-examples
Begin with one concrete case and ask what the learner should notice. Separate the visible surface features from the relationship that makes the case useful. A good response identifies a condition, structure, meaning or causal link that could guide another problem. If the learner cannot identify it, provide a clear model rather than extending a guessing sequence.
Next, change one consequential feature. Ask what remains invariant and what must change. A near contrast can reveal the boundary of a rule more efficiently than several nearly identical repetitions. Keep early contrasts simple enough that the intended distinction is visible; later mixed work should remove the helpful heading and require method selection.
Finish with independent transfer. Change the context, representation, wording, numbers, audience or purpose while preserving the principle. Record whether the response was independent, cued or modelled. Delayed independent use is stronger evidence than immediate recognition beside the original example.
5. Near examples
Begin with one concrete case and ask what the learner should notice. Separate the visible surface features from the relationship that makes the case useful. A good response identifies a condition, structure, meaning or causal link that could guide another problem. If the learner cannot identify it, provide a clear model rather than extending a guessing sequence.
Next, change one consequential feature. Ask what remains invariant and what must change. A near contrast can reveal the boundary of a rule more efficiently than several nearly identical repetitions. Keep early contrasts simple enough that the intended distinction is visible; later mixed work should remove the helpful heading and require method selection.
Finish with independent transfer. Change the context, representation, wording, numbers, audience or purpose while preserving the principle. Record whether the response was independent, cued or modelled. Delayed independent use is stronger evidence than immediate recognition beside the original example.
6. Contrasting cases
Begin with one concrete case and ask what the learner should notice. Separate the visible surface features from the relationship that makes the case useful. A good response identifies a condition, structure, meaning or causal link that could guide another problem. If the learner cannot identify it, provide a clear model rather than extending a guessing sequence.
Next, change one consequential feature. Ask what remains invariant and what must change. A near contrast can reveal the boundary of a rule more efficiently than several nearly identical repetitions. Keep early contrasts simple enough that the intended distinction is visible; later mixed work should remove the helpful heading and require method selection.
Finish with independent transfer. Change the context, representation, wording, numbers, audience or purpose while preserving the principle. Record whether the response was independent, cued or modelled. Delayed independent use is stronger evidence than immediate recognition beside the original example.
7. Worked examples
Begin with one concrete case and ask what the learner should notice. Separate the visible surface features from the relationship that makes the case useful. A good response identifies a condition, structure, meaning or causal link that could guide another problem. If the learner cannot identify it, provide a clear model rather than extending a guessing sequence.
Next, change one consequential feature. Ask what remains invariant and what must change. A near contrast can reveal the boundary of a rule more efficiently than several nearly identical repetitions. Keep early contrasts simple enough that the intended distinction is visible; later mixed work should remove the helpful heading and require method selection.
Finish with independent transfer. Change the context, representation, wording, numbers, audience or purpose while preserving the principle. Record whether the response was independent, cued or modelled. Delayed independent use is stronger evidence than immediate recognition beside the original example.
8. Example-problem pairs
Begin with one concrete case and ask what the learner should notice. Separate the visible surface features from the relationship that makes the case useful. A good response identifies a condition, structure, meaning or causal link that could guide another problem. If the learner cannot identify it, provide a clear model rather than extending a guessing sequence.
Next, change one consequential feature. Ask what remains invariant and what must change. A near contrast can reveal the boundary of a rule more efficiently than several nearly identical repetitions. Keep early contrasts simple enough that the intended distinction is visible; later mixed work should remove the helpful heading and require method selection.
Finish with independent transfer. Change the context, representation, wording, numbers, audience or purpose while preserving the principle. Record whether the response was independent, cued or modelled. Delayed independent use is stronger evidence than immediate recognition beside the original example.
9. Fading support
Begin with one concrete case and ask what the learner should notice. Separate the visible surface features from the relationship that makes the case useful. A good response identifies a condition, structure, meaning or causal link that could guide another problem. If the learner cannot identify it, provide a clear model rather than extending a guessing sequence.
Next, change one consequential feature. Ask what remains invariant and what must change. A near contrast can reveal the boundary of a rule more efficiently than several nearly identical repetitions. Keep early contrasts simple enough that the intended distinction is visible; later mixed work should remove the helpful heading and require method selection.
Finish with independent transfer. Change the context, representation, wording, numbers, audience or purpose while preserving the principle. Record whether the response was independent, cued or modelled. Delayed independent use is stronger evidence than immediate recognition beside the original example.
10. Completion problems
Begin with one concrete case and ask what the learner should notice. Separate the visible surface features from the relationship that makes the case useful. A good response identifies a condition, structure, meaning or causal link that could guide another problem. If the learner cannot identify it, provide a clear model rather than extending a guessing sequence.
Next, change one consequential feature. Ask what remains invariant and what must change. A near contrast can reveal the boundary of a rule more efficiently than several nearly identical repetitions. Keep early contrasts simple enough that the intended distinction is visible; later mixed work should remove the helpful heading and require method selection.
Finish with independent transfer. Change the context, representation, wording, numbers, audience or purpose while preserving the principle. Record whether the response was independent, cued or modelled. Delayed independent use is stronger evidence than immediate recognition beside the original example.
11. Variation
Begin with one concrete case and ask what the learner should notice. Separate the visible surface features from the relationship that makes the case useful. A good response identifies a condition, structure, meaning or causal link that could guide another problem. If the learner cannot identify it, provide a clear model rather than extending a guessing sequence.
Next, change one consequential feature. Ask what remains invariant and what must change. A near contrast can reveal the boundary of a rule more efficiently than several nearly identical repetitions. Keep early contrasts simple enough that the intended distinction is visible; later mixed work should remove the helpful heading and require method selection.
Finish with independent transfer. Change the context, representation, wording, numbers, audience or purpose while preserving the principle. Record whether the response was independent, cued or modelled. Delayed independent use is stronger evidence than immediate recognition beside the original example.
12. Surface features
Begin with one concrete case and ask what the learner should notice. Separate the visible surface features from the relationship that makes the case useful. A good response identifies a condition, structure, meaning or causal link that could guide another problem. If the learner cannot identify it, provide a clear model rather than extending a guessing sequence.
Next, change one consequential feature. Ask what remains invariant and what must change. A near contrast can reveal the boundary of a rule more efficiently than several nearly identical repetitions. Keep early contrasts simple enough that the intended distinction is visible; later mixed work should remove the helpful heading and require method selection.
Finish with independent transfer. Change the context, representation, wording, numbers, audience or purpose while preserving the principle. Record whether the response was independent, cued or modelled. Delayed independent use is stronger evidence than immediate recognition beside the original example.
13. Deep structure
Begin with one concrete case and ask what the learner should notice. Separate the visible surface features from the relationship that makes the case useful. A good response identifies a condition, structure, meaning or causal link that could guide another problem. If the learner cannot identify it, provide a clear model rather than extending a guessing sequence.
Next, change one consequential feature. Ask what remains invariant and what must change. A near contrast can reveal the boundary of a rule more efficiently than several nearly identical repetitions. Keep early contrasts simple enough that the intended distinction is visible; later mixed work should remove the helpful heading and require method selection.
Finish with independent transfer. Change the context, representation, wording, numbers, audience or purpose while preserving the principle. Record whether the response was independent, cued or modelled. Delayed independent use is stronger evidence than immediate recognition beside the original example.
14. Pattern recognition
Begin with one concrete case and ask what the learner should notice. Separate the visible surface features from the relationship that makes the case useful. A good response identifies a condition, structure, meaning or causal link that could guide another problem. If the learner cannot identify it, provide a clear model rather than extending a guessing sequence.
Next, change one consequential feature. Ask what remains invariant and what must change. A near contrast can reveal the boundary of a rule more efficiently than several nearly identical repetitions. Keep early contrasts simple enough that the intended distinction is visible; later mixed work should remove the helpful heading and require method selection.
Finish with independent transfer. Change the context, representation, wording, numbers, audience or purpose while preserving the principle. Record whether the response was independent, cued or modelled. Delayed independent use is stronger evidence than immediate recognition beside the original example.
15. Vocabulary examples
Begin with one concrete case and ask what the learner should notice. Separate the visible surface features from the relationship that makes the case useful. A good response identifies a condition, structure, meaning or causal link that could guide another problem. If the learner cannot identify it, provide a clear model rather than extending a guessing sequence.
Next, change one consequential feature. Ask what remains invariant and what must change. A near contrast can reveal the boundary of a rule more efficiently than several nearly identical repetitions. Keep early contrasts simple enough that the intended distinction is visible; later mixed work should remove the helpful heading and require method selection.
Finish with independent transfer. Change the context, representation, wording, numbers, audience or purpose while preserving the principle. Record whether the response was independent, cued or modelled. Delayed independent use is stronger evidence than immediate recognition beside the original example.
16. Grammar examples
Begin with one concrete case and ask what the learner should notice. Separate the visible surface features from the relationship that makes the case useful. A good response identifies a condition, structure, meaning or causal link that could guide another problem. If the learner cannot identify it, provide a clear model rather than extending a guessing sequence.
Next, change one consequential feature. Ask what remains invariant and what must change. A near contrast can reveal the boundary of a rule more efficiently than several nearly identical repetitions. Keep early contrasts simple enough that the intended distinction is visible; later mixed work should remove the helpful heading and require method selection.
Finish with independent transfer. Change the context, representation, wording, numbers, audience or purpose while preserving the principle. Record whether the response was independent, cued or modelled. Delayed independent use is stronger evidence than immediate recognition beside the original example.
17. Reading examples
Begin with one concrete case and ask what the learner should notice. Separate the visible surface features from the relationship that makes the case useful. A good response identifies a condition, structure, meaning or causal link that could guide another problem. If the learner cannot identify it, provide a clear model rather than extending a guessing sequence.
Next, change one consequential feature. Ask what remains invariant and what must change. A near contrast can reveal the boundary of a rule more efficiently than several nearly identical repetitions. Keep early contrasts simple enough that the intended distinction is visible; later mixed work should remove the helpful heading and require method selection.
Finish with independent transfer. Change the context, representation, wording, numbers, audience or purpose while preserving the principle. Record whether the response was independent, cued or modelled. Delayed independent use is stronger evidence than immediate recognition beside the original example.
18. Writing examples
Begin with one concrete case and ask what the learner should notice. Separate the visible surface features from the relationship that makes the case useful. A good response identifies a condition, structure, meaning or causal link that could guide another problem. If the learner cannot identify it, provide a clear model rather than extending a guessing sequence.
Next, change one consequential feature. Ask what remains invariant and what must change. A near contrast can reveal the boundary of a rule more efficiently than several nearly identical repetitions. Keep early contrasts simple enough that the intended distinction is visible; later mixed work should remove the helpful heading and require method selection.
Finish with independent transfer. Change the context, representation, wording, numbers, audience or purpose while preserving the principle. Record whether the response was independent, cued or modelled. Delayed independent use is stronger evidence than immediate recognition beside the original example.
19. Mathematics examples
Begin with one concrete case and ask what the learner should notice. Separate the visible surface features from the relationship that makes the case useful. A good response identifies a condition, structure, meaning or causal link that could guide another problem. If the learner cannot identify it, provide a clear model rather than extending a guessing sequence.
Next, change one consequential feature. Ask what remains invariant and what must change. A near contrast can reveal the boundary of a rule more efficiently than several nearly identical repetitions. Keep early contrasts simple enough that the intended distinction is visible; later mixed work should remove the helpful heading and require method selection.
Finish with independent transfer. Change the context, representation, wording, numbers, audience or purpose while preserving the principle. Record whether the response was independent, cued or modelled. Delayed independent use is stronger evidence than immediate recognition beside the original example.
20. Science examples
Begin with one concrete case and ask what the learner should notice. Separate the visible surface features from the relationship that makes the case useful. A good response identifies a condition, structure, meaning or causal link that could guide another problem. If the learner cannot identify it, provide a clear model rather than extending a guessing sequence.
Next, change one consequential feature. Ask what remains invariant and what must change. A near contrast can reveal the boundary of a rule more efficiently than several nearly identical repetitions. Keep early contrasts simple enough that the intended distinction is visible; later mixed work should remove the helpful heading and require method selection.
Finish with independent transfer. Change the context, representation, wording, numbers, audience or purpose while preserving the principle. Record whether the response was independent, cued or modelled. Delayed independent use is stronger evidence than immediate recognition beside the original example.
21. Diagrams and representations
Begin with one concrete case and ask what the learner should notice. Separate the visible surface features from the relationship that makes the case useful. A good response identifies a condition, structure, meaning or causal link that could guide another problem. If the learner cannot identify it, provide a clear model rather than extending a guessing sequence.
Next, change one consequential feature. Ask what remains invariant and what must change. A near contrast can reveal the boundary of a rule more efficiently than several nearly identical repetitions. Keep early contrasts simple enough that the intended distinction is visible; later mixed work should remove the helpful heading and require method selection.
Finish with independent transfer. Change the context, representation, wording, numbers, audience or purpose while preserving the principle. Record whether the response was independent, cued or modelled. Delayed independent use is stronger evidence than immediate recognition beside the original example.
22. Counterexamples
Begin with one concrete case and ask what the learner should notice. Separate the visible surface features from the relationship that makes the case useful. A good response identifies a condition, structure, meaning or causal link that could guide another problem. If the learner cannot identify it, provide a clear model rather than extending a guessing sequence.
Next, change one consequential feature. Ask what remains invariant and what must change. A near contrast can reveal the boundary of a rule more efficiently than several nearly identical repetitions. Keep early contrasts simple enough that the intended distinction is visible; later mixed work should remove the helpful heading and require method selection.
Finish with independent transfer. Change the context, representation, wording, numbers, audience or purpose while preserving the principle. Record whether the response was independent, cued or modelled. Delayed independent use is stronger evidence than immediate recognition beside the original example.
23. Misleading examples
Begin with one concrete case and ask what the learner should notice. Separate the visible surface features from the relationship that makes the case useful. A good response identifies a condition, structure, meaning or causal link that could guide another problem. If the learner cannot identify it, provide a clear model rather than extending a guessing sequence.
Next, change one consequential feature. Ask what remains invariant and what must change. A near contrast can reveal the boundary of a rule more efficiently than several nearly identical repetitions. Keep early contrasts simple enough that the intended distinction is visible; later mixed work should remove the helpful heading and require method selection.
Finish with independent transfer. Change the context, representation, wording, numbers, audience or purpose while preserving the principle. Record whether the response was independent, cued or modelled. Delayed independent use is stronger evidence than immediate recognition beside the original example.
24. Misconception repair
Begin with one concrete case and ask what the learner should notice. Separate the visible surface features from the relationship that makes the case useful. A good response identifies a condition, structure, meaning or causal link that could guide another problem. If the learner cannot identify it, provide a clear model rather than extending a guessing sequence.
Next, change one consequential feature. Ask what remains invariant and what must change. A near contrast can reveal the boundary of a rule more efficiently than several nearly identical repetitions. Keep early contrasts simple enough that the intended distinction is visible; later mixed work should remove the helpful heading and require method selection.
Finish with independent transfer. Change the context, representation, wording, numbers, audience or purpose while preserving the principle. Record whether the response was independent, cued or modelled. Delayed independent use is stronger evidence than immediate recognition beside the original example.
25. Feedback after examples
Begin with one concrete case and ask what the learner should notice. Separate the visible surface features from the relationship that makes the case useful. A good response identifies a condition, structure, meaning or causal link that could guide another problem. If the learner cannot identify it, provide a clear model rather than extending a guessing sequence.
Next, change one consequential feature. Ask what remains invariant and what must change. A near contrast can reveal the boundary of a rule more efficiently than several nearly identical repetitions. Keep early contrasts simple enough that the intended distinction is visible; later mixed work should remove the helpful heading and require method selection.
Finish with independent transfer. Change the context, representation, wording, numbers, audience or purpose while preserving the principle. Record whether the response was independent, cued or modelled. Delayed independent use is stronger evidence than immediate recognition beside the original example.
26. Retrieval after examples
Begin with one concrete case and ask what the learner should notice. Separate the visible surface features from the relationship that makes the case useful. A good response identifies a condition, structure, meaning or causal link that could guide another problem. If the learner cannot identify it, provide a clear model rather than extending a guessing sequence.
Next, change one consequential feature. Ask what remains invariant and what must change. A near contrast can reveal the boundary of a rule more efficiently than several nearly identical repetitions. Keep early contrasts simple enough that the intended distinction is visible; later mixed work should remove the helpful heading and require method selection.
Finish with independent transfer. Change the context, representation, wording, numbers, audience or purpose while preserving the principle. Record whether the response was independent, cued or modelled. Delayed independent use is stronger evidence than immediate recognition beside the original example.
27. Spacing examples
Begin with one concrete case and ask what the learner should notice. Separate the visible surface features from the relationship that makes the case useful. A good response identifies a condition, structure, meaning or causal link that could guide another problem. If the learner cannot identify it, provide a clear model rather than extending a guessing sequence.
Next, change one consequential feature. Ask what remains invariant and what must change. A near contrast can reveal the boundary of a rule more efficiently than several nearly identical repetitions. Keep early contrasts simple enough that the intended distinction is visible; later mixed work should remove the helpful heading and require method selection.
Finish with independent transfer. Change the context, representation, wording, numbers, audience or purpose while preserving the principle. Record whether the response was independent, cued or modelled. Delayed independent use is stronger evidence than immediate recognition beside the original example.
28. Interleaving
Begin with one concrete case and ask what the learner should notice. Separate the visible surface features from the relationship that makes the case useful. A good response identifies a condition, structure, meaning or causal link that could guide another problem. If the learner cannot identify it, provide a clear model rather than extending a guessing sequence.
Next, change one consequential feature. Ask what remains invariant and what must change. A near contrast can reveal the boundary of a rule more efficiently than several nearly identical repetitions. Keep early contrasts simple enough that the intended distinction is visible; later mixed work should remove the helpful heading and require method selection.
Finish with independent transfer. Change the context, representation, wording, numbers, audience or purpose while preserving the principle. Record whether the response was independent, cued or modelled. Delayed independent use is stronger evidence than immediate recognition beside the original example.
29. Transfer to new contexts
Begin with one concrete case and ask what the learner should notice. Separate the visible surface features from the relationship that makes the case useful. A good response identifies a condition, structure, meaning or causal link that could guide another problem. If the learner cannot identify it, provide a clear model rather than extending a guessing sequence.
Next, change one consequential feature. Ask what remains invariant and what must change. A near contrast can reveal the boundary of a rule more efficiently than several nearly identical repetitions. Keep early contrasts simple enough that the intended distinction is visible; later mixed work should remove the helpful heading and require method selection.
Finish with independent transfer. Change the context, representation, wording, numbers, audience or purpose while preserving the principle. Record whether the response was independent, cued or modelled. Delayed independent use is stronger evidence than immediate recognition beside the original example.
30. Student-generated examples
Begin with one concrete case and ask what the learner should notice. Separate the visible surface features from the relationship that makes the case useful. A good response identifies a condition, structure, meaning or causal link that could guide another problem. If the learner cannot identify it, provide a clear model rather than extending a guessing sequence.
Next, change one consequential feature. Ask what remains invariant and what must change. A near contrast can reveal the boundary of a rule more efficiently than several nearly identical repetitions. Keep early contrasts simple enough that the intended distinction is visible; later mixed work should remove the helpful heading and require method selection.
Finish with independent transfer. Change the context, representation, wording, numbers, audience or purpose while preserving the principle. Record whether the response was independent, cued or modelled. Delayed independent use is stronger evidence than immediate recognition beside the original example.
31. Teacher-selected examples
Begin with one concrete case and ask what the learner should notice. Separate the visible surface features from the relationship that makes the case useful. A good response identifies a condition, structure, meaning or causal link that could guide another problem. If the learner cannot identify it, provide a clear model rather than extending a guessing sequence.
Next, change one consequential feature. Ask what remains invariant and what must change. A near contrast can reveal the boundary of a rule more efficiently than several nearly identical repetitions. Keep early contrasts simple enough that the intended distinction is visible; later mixed work should remove the helpful heading and require method selection.
Finish with independent transfer. Change the context, representation, wording, numbers, audience or purpose while preserving the principle. Record whether the response was independent, cued or modelled. Delayed independent use is stronger evidence than immediate recognition beside the original example.
32. Parent use at home
Begin with one concrete case and ask what the learner should notice. Separate the visible surface features from the relationship that makes the case useful. A good response identifies a condition, structure, meaning or causal link that could guide another problem. If the learner cannot identify it, provide a clear model rather than extending a guessing sequence.
Next, change one consequential feature. Ask what remains invariant and what must change. A near contrast can reveal the boundary of a rule more efficiently than several nearly identical repetitions. Keep early contrasts simple enough that the intended distinction is visible; later mixed work should remove the helpful heading and require method selection.
Finish with independent transfer. Change the context, representation, wording, numbers, audience or purpose while preserving the principle. Record whether the response was independent, cued or modelled. Delayed independent use is stronger evidence than immediate recognition beside the original example.
33. AI-generated examples
Begin with one concrete case and ask what the learner should notice. Separate the visible surface features from the relationship that makes the case useful. A good response identifies a condition, structure, meaning or causal link that could guide another problem. If the learner cannot identify it, provide a clear model rather than extending a guessing sequence.
Next, change one consequential feature. Ask what remains invariant and what must change. A near contrast can reveal the boundary of a rule more efficiently than several nearly identical repetitions. Keep early contrasts simple enough that the intended distinction is visible; later mixed work should remove the helpful heading and require method selection.
Finish with independent transfer. Change the context, representation, wording, numbers, audience or purpose while preserving the principle. Record whether the response was independent, cued or modelled. Delayed independent use is stronger evidence than immediate recognition beside the original example.
34. Checking generated examples
Begin with one concrete case and ask what the learner should notice. Separate the visible surface features from the relationship that makes the case useful. A good response identifies a condition, structure, meaning or causal link that could guide another problem. If the learner cannot identify it, provide a clear model rather than extending a guessing sequence.
Next, change one consequential feature. Ask what remains invariant and what must change. A near contrast can reveal the boundary of a rule more efficiently than several nearly identical repetitions. Keep early contrasts simple enough that the intended distinction is visible; later mixed work should remove the helpful heading and require method selection.
Finish with independent transfer. Change the context, representation, wording, numbers, audience or purpose while preserving the principle. Record whether the response was independent, cued or modelled. Delayed independent use is stronger evidence than immediate recognition beside the original example.
35. Seven-day example cycle
Begin with one concrete case and ask what the learner should notice. Separate the visible surface features from the relationship that makes the case useful. A good response identifies a condition, structure, meaning or causal link that could guide another problem. If the learner cannot identify it, provide a clear model rather than extending a guessing sequence.
Next, change one consequential feature. Ask what remains invariant and what must change. A near contrast can reveal the boundary of a rule more efficiently than several nearly identical repetitions. Keep early contrasts simple enough that the intended distinction is visible; later mixed work should remove the helpful heading and require method selection.
Finish with independent transfer. Change the context, representation, wording, numbers, audience or purpose while preserving the principle. Record whether the response was independent, cued or modelled. Delayed independent use is stronger evidence than immediate recognition beside the original example.
36. Twenty-minute practice
Begin with one concrete case and ask what the learner should notice. Separate the visible surface features from the relationship that makes the case useful. A good response identifies a condition, structure, meaning or causal link that could guide another problem. If the learner cannot identify it, provide a clear model rather than extending a guessing sequence.
Next, change one consequential feature. Ask what remains invariant and what must change. A near contrast can reveal the boundary of a rule more efficiently than several nearly identical repetitions. Keep early contrasts simple enough that the intended distinction is visible; later mixed work should remove the helpful heading and require method selection.
Finish with independent transfer. Change the context, representation, wording, numbers, audience or purpose while preserving the principle. Record whether the response was independent, cued or modelled. Delayed independent use is stronger evidence than immediate recognition beside the original example.
37. Mixed transfer assessment
Begin with one concrete case and ask what the learner should notice. Separate the visible surface features from the relationship that makes the case useful. A good response identifies a condition, structure, meaning or causal link that could guide another problem. If the learner cannot identify it, provide a clear model rather than extending a guessing sequence.
Next, change one consequential feature. Ask what remains invariant and what must change. A near contrast can reveal the boundary of a rule more efficiently than several nearly identical repetitions. Keep early contrasts simple enough that the intended distinction is visible; later mixed work should remove the helpful heading and require method selection.
Finish with independent transfer. Change the context, representation, wording, numbers, audience or purpose while preserving the principle. Record whether the response was independent, cued or modelled. Delayed independent use is stronger evidence than immediate recognition beside the original example.
38. Teaching guide
Begin with one concrete case and ask what the learner should notice. Separate the visible surface features from the relationship that makes the case useful. A good response identifies a condition, structure, meaning or causal link that could guide another problem. If the learner cannot identify it, provide a clear model rather than extending a guessing sequence.
Next, change one consequential feature. Ask what remains invariant and what must change. A near contrast can reveal the boundary of a rule more efficiently than several nearly identical repetitions. Keep early contrasts simple enough that the intended distinction is visible; later mixed work should remove the helpful heading and require method selection.
Finish with independent transfer. Change the context, representation, wording, numbers, audience or purpose while preserving the principle. Record whether the response was independent, cued or modelled. Delayed independent use is stronger evidence than immediate recognition beside the original example.
Continue through eduKateSG
Continue through How Self-Explanation Improves Mathematics, How Comparing Examples Improves English, How Feedback Improves Learning, and the How X Works Hub.
Final checkpoint: identify the relationship, inspect its boundary, reproduce it in a changed case, check the result and return later without the model. The purpose of support is to make itself progressively less necessary.