Why a wrong answer needs a second pass
A learner misses a negative sign in algebra, gets the next question right, and moves on. The correction feels complete, but the original error has not been rehearsed. In one-to-one tutoring, that gap matters because a single miscue often marks a fragile step, not a random slip. Duffspin treats the wrong answer as the starting point for a short, deliberate review cycle rather than a moment to apologise for and forget.
Cause: most corrections stop at the right answer
The usual fix is to show the correct method and ask whether the learner understands. Many learners say yes because the explanation is fresh and the tutor is nearby. The underlying confusion remains untested. The duffspin routine changes the sequence: the learner must first reproduce the faulty reasoning, then name the exact point where it breaks, and finally solve a near-transfer item without prompts. That extra step exposes whether the correction has become usable knowledge.
Solution: run duffspin as a four-step cycle
- Freeze the original answer. Keep the learner’s first response visible. Ask them to read it aloud and mark the line where they would now pause.
- Name the break point. Require a precise phrase, such as I dropped the negative sign when I expanded the bracket, not I made a silly mistake.
- Spin to a near-transfer item. Give one similar question with a small change, such as a different coefficient or a swapped sign. The learner solves it while narrating the check.
- Log the repair. Record the error type and the successful check in one sentence. This log becomes the first item for the next session’s warm-up.
The cycle should take about five minutes. Shorter cycles work for arithmetic slips; longer ones suit multi-step proofs or essay structure. The key constraint is that the learner, not the tutor, supplies the diagnosis and the corrected explanation.
What to record after the cycle
A useful duffspin note has three fields: the original error, the trigger the learner missed, and the transfer question that confirmed the repair. For example: expanded bracket with negative sign; trigger was distributing to both terms; transfer item with minus outside bracket solved correctly. This note is more useful than a page of corrected working because it tells the next tutor exactly which check to revisit.
Common pitfalls
- Turning duffspin into a lecture. If the tutor explains the fix first, the learner rehearses listening, not repairing.
- Using an identical question. A carbon-copy item can be solved by memorised steps; a near-transfer item tests the underlying rule.
- Skipping the log. Without a one-line record, the same error returns next week under a different question.
Used consistently, duffspin adds a small but high-value layer to tutoring: it converts a wrong answer into a checked, documented repair that the learner can repeat.