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Rheticus

Mastery you can inspect.

Rheticus never tells you that you are 83% proficient. It shows which of five states each concept is in, and the attempts that put it there.

The five states.

One mark for each, used everywhere in the app. Shape carries the meaning, so it never depends on colour.

  1. Not encountered

    You have not worked through this concept yet.

    Earned by: Nothing. Every concept starts here.

    Does not count: Having heard of it. Having it on a roadmap. Having a book about it.

  2. Understood with help

    You can follow an explanation or solve a guided example.

    Earned by: Completing a guided explanation and answering its check questions. Hints are allowed.

    Does not count: Reading alone. Watching a video. Asking a question and getting an answer.

  3. Practised

    You have done exercises yourself, and you still need support.

    Earned by: Passing two of your last three practice attempts on the concept. Hints are counted.

    Does not count: One lucky pass. Exercises you only read the solutions to.

  4. Demonstrated

    You can solve an unfamiliar problem, or produce work that is assessed independently.

    Earned by: Passing two of two or three tasks you have never seen, with no hints, at the rubric's independent level.

    Does not count: Repeating an item you have already attempted. Any attempt that used a hint. One lucky pass.

  5. Retained

    You can retrieve the concept and apply it after a delay.

    Earned by: Passing a review at least seven days after you demonstrated it. No hints.

    Does not count: Still feeling confident. Recognising it when you see it.

Six rules the app enforces.

They are plain application logic. No model decides whether you know something.

  • Evidence only

    A state changes because an attempt was recorded and judged. There is no button for marking something as known. You can always move a state down yourself.

  • Exposure is capped

    Reading, watching, importing, highlighting and asking can take a concept to understood with help, and never further.

  • Hints are capped

    An attempt that used a hint cannot demonstrate a concept or show it is retained.

  • Unseen means unseen

    An item counts as new only if you have never attempted it or any of its variants.

  • One step at a time

    A single attempt raises a state by one step at most. The challenge route is the only exception.

  • The challenge route

    If you already know something, take two or three unseen items with no hints. Pass two and the lesson goes straight to demonstrated.

Verified, or provisional.

A model can mark work wrongly. So anything a model judges is shown as provisional until an objective check or you confirm it.

Demonstrated, verified

Demonstrated, provisional

Every marking keeps its rubric, its rationale and the name of the model that made it. A model's confidence is recorded and never turned into a mastery number.

  • An objective check

    Unit tests pass, a numeric answer matches, an answer key agrees

    Verified at once
  • A model

    A proof, an essay argument or an explanation is marked against a rubric

    Provisional
  • You

    You read the rubric and the model answer, then confirm or dispute

    Verifies or overturns

Reviews that space out.

Once a concept is demonstrated, a review is scheduled. Pass it and the next one is further away.

  1. 7 days
  2. 16 days
  3. 35 days
  4. 75 days

After the fourth, each gap is 2.2 times the last, up to a year. A later release adds adaptive scheduling as a setting.

States go down, too.

Knowledge decays, and the record admits it.

WhenThen
A missed review on a retained conceptBack to demonstrated. A relearning review in 2 days.
A second missed review in a rowBack to practised. A practice session is queued.
A missed review on a demonstrated conceptBack to practised.
A practice attempt that falls shortNo change. Any misconception is recorded.
A marking you overturnThe state is recomputed from the evidence that remains.

One concept, twenty-six days.

The chain rule, on a calculus track, as the record would show it.

  1. Day 1

    Understood with help, provisional

    Guided explanation. Two check questions answered, one hint used.

    Marked by a model

  2. Day 1

    Practised

    Three practice problems: pass, not yet, pass. One misconception recorded.

    Numeric check

  3. Day 2

    Practised

    Two problems aimed at the misconception, both passed. Misconception closed.

    Numeric check

  4. Day 3

    Demonstrated

    Two of three unseen problems passed, no hints. Review scheduled for day 10.

    Numeric check

  5. Day 10

    Retained

    Review with a fresh problem, no hints, passed. Next review on day 26.

    Numeric check

  6. Day 26

    Demonstrated

    Review missed. A relearning review is set for day 28.

    Numeric check

What we claim, and what we do not.

Retrieval practice and spaced practice are among the better supported techniques for long-term retention in reviews of educational research. Rheticus is built around both.

We do not claim a measured learning gain from Rheticus itself. The app has not been released, and we have no data. The honest claim is about the system: it keeps the record, and it does not let familiarity pass for ability.

See what you have actually proved.

Free during the early beta, with everything unlocked. Join the beta and the Windows build comes to you first.