MyGREBD: Mathematical Model, Units & Reproducible Benchmarks
Role & Domain Intent: GRE-style bilingual study (Original limited-bank practice; not an adaptive official GRE or predicted score.)
Equations, Variables & Dimensional Rules
Original GRE-style bilingual practice, timed sets, vocabulary scheduling and plans.
Local Practice Accuracy (%) = (Correct Responses / Attempted Items) × 100; Spaced Review Interval I_k = I_{k−1} × Ease_Factor (bounded to local browser study calendar)
Declared Units: Practice accuracy in %; response latency in seconds/item; vocabulary review intervals in days; weekly study targets in minutes/week.
Step-by-Step Numerical Verification
Diagnostic Set Walkthrough: Completing a 10-item mixed Verbal (Text Completion / Reading Comprehension) and Quantitative Reasoning drill records per-item timing and bilingual (English/Bangla) error rationales locally in localStorage, scheduling missed GRE vocabulary roots for 1-day, 3-day, and 7-day spaced repetition without generating an official ETS scaled (130–170) score prediction.
| Module | Item Format | Language Support | Scoring Method | Official ETS Affiliation |
|---|---|---|---|---|
| Quantitative Drill | Comparison & Numeric Entry | English + বাংলা rationale | Raw % + Pacing (s/item) | None (Independent) |
| Verbal Reasoning | Text Completion & RC | English + বাংলা rationale | Raw % + Error Tagging | None (Independent) |
| Vocabulary Deck | Spaced Recall Cards | English + বাংলা gloss | Local Mastery Bucket | None (Independent) |
mytoeflbd — Governing Equations & Worked Verification
Canonical Module URL: https://khaniq.co.education/toefl/ · Launch Interactive Runtime ↗
Scope: TOEFL-style practice, local writing and speaking records, objectives and study plans.
Boundary & Limitation: No ETS affiliation, official registration or automated speaking/writing scoring.
Section Pacing Rate = Words_or_Items / Allowed_Minutes; Self-Rubric Score = Σ_{d=1..4} Rubric_Dimension_d / 4 (0–4 scale)
Units & Conventions: Reading/Listening practice accuracy in %; Speaking response timer in seconds (15 s prep / 45 s response); Writing word count and self-check rubric.
Worked Verification Example: Academic Integrated Task Walkthrough: Learners complete an independent reading/listening passage check, record a local 45-second speaking outline or 250-word academic discussion response in the browser, grade it against a transparent 4-point structural checklist (claim, textual evidence, cohesion, grammar), and save their study plan locally without any ETS affiliation or automated AI score prediction.
| Skill Module | Practice Task | Evaluation Mechanism | Official ETS Status |
|---|---|---|---|
| Reading & Listening | Academic Passage & Lecture Check | Immediate Answer Rationale | Independent (Non-ETS) |
| Speaking Workspace | 15s Prep / 45s Timed Prompt Notes | Self-Evaluation Checklist | No Automated Speech Scoring |
| Writing Workspace | Academic Discussion Draft + Word Count | 4-Point Structural Rubric | Local Browser Storage Only |
Validation Status, Scope Exclusions & Disclaimers
- Data Status: Synthetic / precomputed browser demonstration fixtures generated deterministically from the project engine.
- Operational Limitation: Limited original practice bank; no ETS affiliation, adaptive test or score prediction.
- Client-Side Execution: All interactive views, filters, and JSON/CSV exports execute locally in the user's browser with zero external API calls, zero telemetry, and no server-side persistence.
- Author & Principal Investigator: Mohammad Rezwan Khan, PhD (Aalborg University · BESS QA/QC & Power Systems Specialist).