Completion Problem Transition
Gate a completion-problem fade by observed student success.
Description
A completion-problem transition can remove one provided step after sufficient observed success.
A completion-problem transition can remove one provided step after sufficient observed success. At zero provided steps, the scaffold cannot be reduced further.1
Gate a completion-problem fade by observed student success.
When to use Completion Problem Transition
Use this tool to gate a completion-problem fade by observed student success.
Prepare the lesson timeline, roster, observations or assessment labels requested. Use consistent units and exact identifiers, then choose comparison criteria appropriate to the activity.
How to use Completion Problem Transition and understand its results
- Prepare the lesson timeline, roster, observations or assessment labels requested. Use consistent units and exact identifiers, then choose comparison criteria appropriate to the activity.
- Enter correctCompletions, attemptedCompletions, minimumSuccessFraction, currentProvidedSteps using the field table and calculation rules, then run the tool.
- Read successFraction, fadeNextStep, nextProvidedSteps. The explanation below defines the units, signs, ordering and any flags or placeholder values.
- If the tool reports an input issue, correct the values and run it again. Apply the stated assumptions when interpreting a successfully returned result.
| Input field | Meaning | Value type; see rules below | Requirement |
|---|---|---|---|
| correctCompletions | Correct completions | number | Required |
| attemptedCompletions | Attempted completions | number | Required |
| minimumSuccessFraction | Minimum success fraction | number | Required |
| currentProvidedSteps | Current provided steps | number | Required |
Enter positive safe-integer attempts, valid correct count, threshold in 0–1 and nonnegative safe-integer scaffold steps. Return success fraction, fade flag and next step count.
fade=(correct/attempted≥minimum) AND currentSteps>0; nextSteps=currentSteps−fade Units, indexing, boundary conditions and exceptional cases are defined in the calculation rules above.
| Output field | Meaning | Value type |
|---|---|---|
| successFraction | Success fraction | number |
| fadeNextStep | Fade next step | boolean |
| nextProvidedSteps | Next provided steps | number |
{
"input": {
"correctCompletions": 8,
"attemptedCompletions": 10,
"minimumSuccessFraction": 0.75,
"currentProvidedSteps": 3
},
"output": {
"successFraction": 0.8,
"fadeNextStep": true,
"nextProvidedSteps": 2
}
}Limitations and assumptions
The gate uses aggregate recent success only. It does not select the removed step or establish readiness for independent problem solving.
Numeric inputs must be finite. Follow the calculation-specific rules for overflow, underflow and exceptional cases. Missing required fields, extra fields, wrong value types and violations of the calculation rules are input errors. A successfully returned false flag is an evaluated outcome; its meaning is explained above.
Alternative or Complementary methods
Use Worked Example Fading: Plan a stepwise fade from fully worked examples to independent solutions. For a complementary task, use Retrieval Practice Gate: Schedule the next retrieval test from observed recall and a mastery gate.
References
-
Completion Problem Transition — tool.io
Similar or alternative tools
- Worked Example Fading
Plan a stepwise fade from fully worked examples to independent solutions.
- Retrieval Practice Gate
Schedule the next retrieval test from observed recall and a mastery gate.