Cognitive Scaffold

Preparing your thinking workspace

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MENTAL MODEL · M11431

Equivalent Transformation Method

Equivalent Transformation Method
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Updated 2026-08-22

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INTRODUCTION

English translation pending.

CORE DEFINITION

Developed by Ichikawa Kumihisa as the equivalent transformation theory of creative thinking, this method abstracts the essential function of a problem into an equivalent model and then borrows the solution structure found in another domain. The core proposition is that a problem and its equivalent form share the same solution, so solving the easier form solves the original. The key qualification is that the equivalence must hold at the level of essential function rather than surface appearance, since analogies drawn from superficial resemblance produce conclusions that do not transfer back.

SCAFFOLDING EFFECT

psychology

Reduce cognitive load

- Function abstraction: strip the problem down to its essential input-output relation before looking for analogues. - Cross-domain search: look for another field whose structure matches that abstraction. - Mapping back: translate the borrowed solution into your original terms and verify it holds.

anchor

Anchor fast decisions

Difficulty is often a property of representation rather than of the underlying problem. When two situations share the same functional structure, any valid solution to one is valid for the other. Reframing therefore gives access to solutions that other fields have already tested and refined, converting a novel problem into a familiar one.

MINIMUM ACTION

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Source support: Explicit

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    zh.wikipedia.orghttps://zh.wikipedia.org/wiki/%E7%AD%89%E4%BB%B7%E5%8F%98%E6%8D%A2%E7%90%86%E8%AE%BAZH · Explicit
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