Refactoring studio

Unpack a graph, or elaborate its language.

Grade 12 material is distributed toward A1 without pretending that a shorter wording is the same lesson. Grade 1 material is carried toward B2 without new nodes. The arithmetic is the annotation, not a score to optimize.

The lesson sentences stay in English. CEFR here is a scale for that English, not for the language of this page.

Unpack · Grade 12 toward A1

Elaborate · Grade 1 toward B2

Life science · Grade 1 · Elaborate

Plants and water

Plants are alive, they need water to grow, and without water they can die.

G is fixed

  • Every legal level introduces the same concepts and the same relations. Only the language moves.

D(W)

0.39

16 words

Peak M while reading

4.5

Components

Concepts in text

5

of 5 in G

Relations stated

4

of 4

Grade 1 starting point. Four sentences, four relations, no clause stacking. Moving toward B2 should change the wording, not this graph.

Components stay separate. Meeting the name again reopens the assembly.

D(W) = (2.6 + 1.0 × 3.6) / 16 = 0.39

Sums count concepts introduced in the student text, and relations the text establishes. Probes are excluded. λ weights relations against concepts. It is a setting, not a law.

Active at this sentence

4.5

Peak while reading 4.5 · name alone 6.2 · this sentence is the peak

  • Plants0.4
  • Alive0.5
  • Plants are living0.6
  • Plants need water0.9
  • Water lets a plant grow1.0
  • No water can make a plant die1.1

What the rewrite did

  • Hold

    One proposition in each sentence. This is the encoding we elaborate, not a text we enrich with new facts.

G, the graph being represented

Solid is in this wording. Dashed and faded was shed. Dashed and dark is not in G. Teal outline is assumed.

G, the graph being representedThe living things this lesson is about.PlantsPlants are living things.AliveWhat the plant needs.WaterThe plant gets bigger.GrowthWithout water, the plant can die.Death

Establishes: Plants are living. Click a node to find where it enters.

How D was computed

Concepts introduced

  • Plants0.4
  • Alive0.5
  • Water0.4
  • Growth0.6
  • Death0.7
  • Σ w_v2.6

Relations established

  • Plants are living0.6
  • Plants need water0.9
  • Water lets a plant grow1.0
  • No water can make a plant die1.1
  • Σ w_e3.6

CEFR targets used here

A1
One main proposition per sentence. Very frequent words. Present tense. Name a thing only after the idea is present.
A2
and, but, because, if. Usually one new relation in a sentence. A short comparison is allowed.
B1
A short argument with because, so, or although, or a relative clause. A term may be defined once and then reused.
B2
Subordination and qualification may share a sentence. Academic vocabulary is allowed for nodes already in the graph.