Next: Derivational Analogy
Look for a similar solution and copy it to the new situation making
suitable substitutions where appropriate.
If you know about lengths of line segments and a proof that certain lines are
equal (Fig. 29) then we can make similar assertions about angles.
Fig. 29 Transformational Analogy Example
- We know that lines RO = NY and angles AOB = COD
- We have seen that RO + ON = ON + NY - additive rule.
- So we can say that angles AOB + BOC = BOC + COD
- So by a transitive rule line RN = OY
- So similarly angle AOC = BOD
Carbonell (1983) describes a T-space method to transform old solutions
into new ones.
- Whole solutions are viewed as states in a problem space -- the
- T-operators prescribe methods of transforming existing solution
states into new ones.
- Reasoning by analogy becomes a search in T-space -- means-end analysis.