Learning Progress Tracker
Track your learning progress, estimate completion time, and calculate your retention score based on study habits and spaced repetition principles.
Formulas Used
1. Completion Percentage
P = (Units Completed ÷ Total Units) × 100
2. Planned Days to Completion
Units per Day = Daily Study Time ÷ Avg Time per Unit
Days to Complete = Remaining Units ÷ Units per Day
3. Actual Study Velocity
Velocity = Units Completed ÷ Days Studied
4. Realistic Days to Completion
Realistic Days = Remaining Units ÷ Actual Velocity
5. Retention Score — Ebbinghaus Forgetting Curve
R(t) = e−t / S where t = days since last review, S = stability factor
Stability Factor S = 1 + (Review Sessions per Week × 0.5)
Retention Score = Quiz Score × R(t)
6. Learning Efficiency Index (LEI)
LEI = (Completion % × Retention Score) ÷ 100
Combines how far through the course you are with how well you are retaining the material.
Assumptions & References
- The forgetting curve follows Ebbinghaus (1885): memory retention decays exponentially over time without review.
- Stability factor increases with spaced repetition review sessions, modelling the spacing effect (Cepeda et al., 2006).
- Daily study time and average unit time are assumed consistent; real-world variation will affect estimates.
- Quiz score is treated as a proxy for initial encoding strength before decay is applied.
- LEI of ≥ 70 is considered excellent; 40–69 is adequate; below 40 suggests intervention is needed.
- Projected total course time = Total Units × Avg Time per Unit (does not include review time).
- References: Ebbinghaus, H. (1885). Über das Gedächtnis; Cepeda et al. (2006). Psychological Bulletin, 132(3), 354–380.