HCD.6:5.6 - Two Pathways and an Observation that Changes the Model
Continue the fictional Coordinator-N24 case in HCD.4:5.5. The domain criterion is to count distinct work requests, multiply by the supplied 18 minutes per request and qualify the result as active processing effort. Ordinary source tables and a calculator remain available. A teacher may help during learning; during the later observation no teacher or AI supplies the unit choice. N24’s calculation with a supplied unit is already supported, so neither route reteaches multiplication.
The practitioner has two plausible development Methods: comparison of contrasting cases followed by explanation and practice, or supported whole-task completion followed by explanation of its consequences. Both are hypotheses for this learner, with different routes to making unit selection available.
| Pathway candidate | Learning tasks and intended change | Help, observation and complete local burden |
|---|---|---|
| A — contrast before the whole attempt | Compare two 80-record tables: one represents 80 distinct requests and the other 60. Explain why the same visible record count can mean 24 or 18 hours. Then select the unit and produce the estimate on another whole task. The proposed change is from following the record label to using the relation between records and work requests. | Ten minutes of contrast, fifteen of whole-task practice, ten of feedback and correction, twenty for four fresh observations, five for a return: 60 learner minutes. The teacher’s full participation plus twenty preparation minutes costs 80 teacher minutes. |
| B — supported whole performance before explanation | Begin with a partly completed allocation in which grouping by request key is demonstrated. N24 completes the estimate, compares it with the raw-record estimate, explains the consequence, then performs another whole case as grouping help is removed. The proposed change uses available calculation to make the need for selection apparent in a completed result. | Fifteen minutes of worked completion, twenty of whole-task practice, fifteen of correction, twenty for the same fresh observations and ten for return: 80 learner minutes. Full teacher participation plus thirty preparation minutes costs 110 teacher minutes. |
Both fit the stipulated ninety learner minutes and 120 teacher minutes. N24 and the responsible teacher choose A within that authorized practice allocation: existing calculation makes its smaller preparation and practice burden credible, and there is no current evidence that B’s additional guided completion is needed. The shared preference is to obtain independent unit selection while preserving calculation and the effort-only boundary, then prefer lower burden. Expected learning effectiveness remains uncertain; A is a reversible choice, not a demonstrated winner. B remains a supported alternative if the contrast cannot be understood or acted upon from the learner’s present preparation. A learner unable to complete the operation even with the unit supplied would need a different entry and comparison.
In the constructed history, A’s learning and correction tasks are completed. N24 can explain the relation in the paired tables. The four fresh observation tasks then vary service context and salient heading separately. The record identities and duplicate groups are new, including where totals repeat. Each has the request keys and record details needed to distinguish duplicates; each asks for active processing effort. Request rate, delay and queue clearance are outside the question. The teacher observes the first unit choice and calculation and gives no correction until all four first attempts are recorded. In all four recorded responses, N24 explicitly labels the reported quantity as active processing effort and makes no claim about response time or clearing the queue; this preserves the separate scope criterion even when the chosen count is wrong.
| Fresh task | Stipulated data and correct result | N24’s constructed first response |
|---|---|---|
| Familiar ticket service, salient “records” heading | 80 records, 60 distinct requests: 18 hours | Counts 80 and reports 24 hours. |
| New equipment-service context, salient “requests” heading | 72 records, 50 distinct requests: 15 hours | Uses request keys, counts 50 and reports 15 hours. |
| Equipment service, salient “records” heading | 70 records, 60 distinct requests: 18 hours | Counts 70 and reports 21 hours. |
| Ticket service, salient “requests” heading | 48 records, 40 distinct requests: 12 hours | Uses request keys, counts 40 and reports 12 hours. |
Calculation is correct for each chosen number. Independent selection varies with the salient label in both contexts. Model M0’s single familiar-before-unfamiliar ordering cannot adequately describe this profile: N24 shows the intended selection in an unfamiliar context while still missing it in a familiar one. The evidence does not identify a causal label effect or establish population-wide independence; order, case differences and the small sample remain limits. For this local decision, it warrants replacing one familiarity-based position with descriptions that retain the cue condition.
Model M1 therefore distinguishes selection when a compatible cue highlights the unit from selection that withstands a misleading record cue, while retaining calculation and whole-result qualification separately. It drops the assumption that a successful new-context response entails reliable selection in familiar formats. The new transition hypothesis is that comparing incompatible labels with request identities, followed by a learner-generated unit check, may make selection less cue-bound. A fresh task with a misleading heading can weaken that hypothesis. An invalid or ambiguous request table would instead return for task repair.
This changes the remaining pathway. The teacher proposes a twenty-minute addition for cue contrast, correction and a fresh first response; five preparation minutes and fifteen contact minutes take twenty teacher minutes, with the remaining five learner minutes used for an independent attempt. The resulting 80 learner minutes and 100 teacher minutes remain within the original allocation. The practitioner preserves the supported arithmetic and target; simply moving to a harder domain or repeating arithmetic would not address the observed difference. If the new attempt still follows the misleading cue, return to the interpretation and learning mechanism; do not force a higher label. HCD.14 owns that bounded revision.
The three accounts now differ visibly:
- Model: M1’s condition-qualified descriptions and revised relation, including an untested cue-resistance transition.
- Selected pathway: A, revised to include the proposed twenty-minute cue-focused opportunity instead of an assumed next harder stage.
- Trajectory so far: initial independent miss, helped grouping and correction; then A’s learning attempts, explanation and four recorded fresh responses. Sixty minutes of the selected allocation have occurred. The new twenty-minute opportunity has not yet occurred.
The case shows model and plan revision without claiming that the revision itself changed N24. The new-context responses are local evidence; broader transfer, delayed retention and causal programme effectiveness remain separate questions.