Two learners with the same number of correct answers. One was tutored (many hints). One worked independently. See how scaffold-conditioned measurement tells them apart.
Tutored Learner
Frequent hints and worked examples from a tutor
Tempered
28.1%
Flat (ignores scaffolds)
99.8%
| # | Context | Result | Tempered | Flat |
|---|---|---|---|---|
| 1 | After hint | ✓ | 50.3 | 70.8 |
| 2 | After hint | ✓ | 65.6 | 91.6 |
| 3 | Unaided | ✗ | 20.9 | 57.7 |
| 4 | After hint | ✓ | 33.2 | 86.0 |
| 5 | After worked example | ✓ | 40.2 | 96.5 |
| 6 | After hint | ✓ | 55.8 | 99.2 |
| 7 | Unaided | ✗ | 14.9 | 93.9 |
| 8 | After hint | ✓ | 24.8 | 98.6 |
| 9 | Unaided | ✓ | 57.9 | 99.7 |
| 10 | After hint | ✓ | 72.1 | 99.9 |
| 11 | Unaided | ✗ | 26.4 | 99.4 |
| 12 | After hint | ✓ | 40.3 | 99.9 |
| 13 | UnaidedP | ✓ | 73.8 | 100.0 |
| 14 | Unaided | ✗ | 28.1 | 99.8 |
Independent Learner
All unaided — no tutor, no hints, no scaffolding
Tempered
99.7%
Flat (ignores scaffolds)
99.8%
| # | Context | Result | Tempered | Flat |
|---|---|---|---|---|
| 1 | Unaided | ✓ | 69.2 | 70.8 |
| 2 | Unaided | ✗ | 23.8 | 23.2 |
| 3 | Unaided | ✓ | 56.5 | 57.7 |
| 4 | Unaided | ✓ | 84.5 | 86.0 |
| 5 | Unaided | ✗ | 43.0 | 43.4 |
| 6 | Unaided | ✓ | 75.9 | 77.5 |
| 7 | Unaided | ✓ | 92.9 | 93.9 |
| 8 | Unaided | ✗ | 64.5 | 66.0 |
| 9 | Unaided | ✓ | 88.4 | 89.7 |
| 10 | UnaidedP | ✓ | 96.9 | 97.5 |
| 11 | Unaided | ✗ | 81.5 | 83.1 |
| 12 | Unaided | ✓ | 94.8 | 95.7 |
| 13 | UnaidedP | ✓ | 98.7 | 99.0 |
| 14 | UnaidedP | ✓ | 99.7 | 99.8 |
Without scaffold conditioning (red bars)
Both learners end up at similar proficiency because the flat model counts every correct answer equally. The tutored learner looks just as strong as the independent one. You can’t tell the tutor was doing the heavy lifting.
With scaffold conditioning (black bars)
The tutored learner’s proficiency climbs slower because hint-assisted answers carry less weight. The independent learner climbs faster on unaided evidence. The gap is the measurement of transfer — what the student can do alone.
Plain language. No internal vocabulary. No numeric weights.
Tutored Learner’s Family
In Math, your child has answered 14 questions so far. Of those, 2 were answered correctly on their own, and 8 were answered correctly with some help. They are currently at the 'getting started' level. Next step: Keep practicing — more correct answers on their own will show your understanding.Independent Learner’s Family
In Math, your child has answered 14 questions so far. Of those, 10 were answered correctly on their own, and 0 were answered correctly with some help. They are currently at the 'Ready for new challenges' level. Next step: Come back over the next few sessions to show this knowledge sticks.