A.6.3.RT:4.1 - Ordinary representation move
Produce the useful target first:
- Name the user action the new representation should help: compare, inspect, traverse, calculate, communicate or replay. Identify the user’s familiarity with the notation when that changes what they can do with it.
- Point to the source material. Recover the givens, constraints and partial construction, including the claims, commitments, uncertainty and source references that must survive. Keep unknowns identifiable as unknowns.
- Choose an available scheme and a target representation suited to that action. Identify the formation and interpretation rules needed for this use; a familiar notation can be named without reproducing its grammar.
- Make the smallest target that supports the action. Arrange its parts so they can be used together: for example, keep a shared element recognizable in two groupings, or align a sequence of signs with a temporal reference. Explain any meaning-bearing mark, position or timing whose interpretation is not already clear from the selected conventions. A.6.3.RT.OE develops this construction when the expression’s parts must be prepared for the intended operation.
- Compare target and source. Mark what is preserved and foregrounded; what is rearranged, omitted or harder to recover; and which visible links or interpretations were added by the representation.
- Try the intended operation when a short trial can decide whether the expression is useful. Apply the relevant mathematical, physical or other subject Method. Use the result to judge or repair the expression.
- State the representation and reasoning-medium delta only as far as it changes use or blocks a likely overread.
- Close with admissible use, non-admissible use, and a concrete return trigger and destination.
The first result is the expression and its representation note. If working with the expression establishes a new claim, its construction or argument supplies the source for representing that claim. Do not describe the new conclusion as content preserved from the original givens; sharing an EntityOfConcern does not establish that preservation.
Choose another available scheme when the current one cannot express a needed distinction. If new signs or rules are needed, develop the scheme through notation-design work. The scheme’s description can use A.6.0 for a reusable vocabulary, laws and applicability, and A.6.1 for declared operations when those are needed. Those declarations describe the designed rules. RT uses the selected rules to construct particular expressions.
Use this compact note for ordinary work:
| Representation note entry | Practical question |
|---|---|
| User action | What should the target make easier? |
| Source material | What will the user return to? |
| Content to survive | Which claims, relations, commitments, uncertainty, or pins matter? |
| Target and reason | Which representation is chosen, and why does it help? |
| Preserved/foregrounded | What remains recoverable, and what becomes easier to see? |
| Rearranged/lost/added | What is omitted or weakened, and which apparent relation is not source-given? |
| Use boundary | What may and may not be done with the target? |
| Return | Which condition sends the user back to the source or to a stronger claim’s direct pattern? |