Trees and rounds
Two trees map what you know and what you can do, idea by idea. Marked rounds find the gaps, and a score only shows once a marked answer stands behind it.
At a glance
- Where
- Trees, and rounds in Sessions
- Who helps
- ExaminerTutor
- Two trees
- Knowledge (ideas) and Skills (skills and microskills)
- Maps
- Node map, mind map, tree, heat map, board
- Labels
- Works without AIUses AIComing later
Two trees for every subject
One tree holds what you know, idea by idea. The other holds what you can do, skill by skill. Both grow from your syllabus.
- What you know. The knowledge tree holds every idea a question can hinge on: units, topics, dot points and, where the material allows, deeper. Each idea has a KnowScore from 1 to 5.
- What you can do. The skill tree holds skills and the one-line steps under them, called microskills, shared across topics. Each has a SkillScore from 1 to 5.
- Not yet assessed. Until a marked answer touches an idea or a skill, it says so. Every score says how many reads stand behind it, and a roll-up says how much of it is assessed.
Trees grow from any curriculum: add your syllabus.
Methods · two trees
Sam’s exampleWhat you know KnowScore
- Differentiation
- Product ruleStrong 4.53 reads
- Chain ruleOK 3.54 reads
- Stationary pointsWeak 2.52 reads
- Logarithms
- Log lawsWeak 32 reads
- Change of baseNot yet assessed
What you can do SkillScore
- Differentiating
- Chain rule: inner derivativeWeak 23 reads
- Setting f′(x) = 0OK 3.52 reads
- Setting out
- Stating a domainStrong 43 reads
| Word | What it means |
|---|---|
| Not yet assessed | No marked question has touched it yet. It never counts as a low score. |
| Weak | 3 or below: a gap, and the next thing to teach. |
| OK | 3.5: close, not yet at the bar. |
| Strong | 4 or more: at the mastery bar. |
Rounds find your gaps
A round is a marked set of questions. The marking tells knowing an idea from doing its steps, and the result starts with the root causes, each with one fix.
After marking, the result page leads with the root causes, each with one pen-level fix. Then come where the marks went, your microskills, and every question, which you can open to see the worked answer and why marks were lost. The Tutor is off during a round.
Diagnostic round · Methods
Sam’s example| Question | Idea | Marks |
|---|---|---|
| Q1 | Product rule | 3 of 3 |
| Q2 | Chain rule | 2 of 4 |
| Q3 | Stationary points | 1 of 4 |
| Q4 | Chain rule | 2 of 4 |
- Chain rule: knows the idea
- KnowScore OK 3.5
- Chain rule: does the steps
- SkillScore Weak 2
The inside’s derivative goes missing (Q2, Q4). Fix: write it on its own line before you multiply.
| Round | What it is |
|---|---|
| Diagnostic round | 20 to 40 minutes, one to three questions on every topic, to find where you start. It isn’t a grade. |
| Targeted round | Aims at the ideas you’ve just been taught, the ones held for another look and the ones not yet assessed, with your weak microskills over-represented. |
| Full-length round | A whole paper under time. Two in a row at 90% or more are one of the four mastery checks. |
| Re-check | A day or more later, on your weakest ideas, to show the learning stayed. |
| Quick check | A short set on one topic: a starting point, not a grade. |
Works without AIUses AIIn every round, choice and number answers are marked by code, and typed working is marked by AI.
Five maps of the same tree
See a subject as a node map, a mind map, a tree, a heat map or a board. Open any idea to see why it has its score, the results behind it, and Teach me this or Drill this.
Works without AIThe maps draw scores that code has calculated, so they work without AI.
Heat map · Methods · What you know
Sam’s exampleDifferentiation
- Product ruleStrong 4.5
- Chain ruleOK 3.5
- Stationary pointsWeak 2.5
- Rates of changeStrong 4
Logarithms
- Log lawsWeak 3
- Change of baseNot yet assessed
- Exponential equationsOK 3.5
Integration
- AntiderivativesNot yet assessed
- Area under a curveNot yet assessed
| Map | Good for |
|---|---|
| Node map | The whole subject as circles joined by lines, coloured by score. Zoom, drag, and open a circle to practise it. |
| Mind map | Boxes that open into their branches, with what you know and what you can do side by side. |
| Tree | A table of ideas or skills with their level, weight, evidence and when each was last seen. Filter, group and search. |
| Heat map | Every idea in a topic as one square, coloured by its band, with its score on it. |
| Board | Ideas or skills as cards, each with Teach and Drill. |
Code calculates, the AI describes
The AI never writes a score. It describes the working in words, and code turns the words into points by one rule you can read.
| Who | What it does | Label |
|---|---|---|
| The Examiner | Reads your typed working and describes it in words: how you recognised the problem, how cleanly each skill was done, and what kind of error it was. | Uses AI |
| Code | Turns those words into points and works out the score: new score = 0.6 × the attempt + 0.4 × the old score, to the nearest half. The first result stands as it is. One result of 2 or less on an idea at 4 or more is held and checked again, not believed. | Works without AI |
| With the AI off | Choice and number answers are still marked by code. They move the KnowScore only, capped at 4. Skills read “Not yet assessed” until some working has been marked, and nothing pretends otherwise. | Works without AI |
| Self-marking | Tick what went wrong when AI marking isn’t there. It will count for less, and say “self-marked”. | Coming later |
How it works with the cast
- Examiner
Builds and marks your rounds and keeps the score for each idea and skill. It describes your working; code calculates the score.
Works without AIUses AI - Tutor
Teaches the gaps a round finds, one at a time, hardest-hitting first.
Uses AI - Librarian
Reads a syllabus you add into the units, topics and points a tree grows from. Looking one up for you is still to come.
Uses AIComing later
Read next
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