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Isomorphism:
Program, Structure, and Process
-- a catalog

Essays & Worksheets on
Evaluating Similarities & Identities (Isomorphisms)

Edward G. Rozycki, Ed.D.

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edited 8/22/14

 

The essays and worksheets below have been developing in response to both student and website visitor inquiries as to how to judge the nature and extent of program isomorphism, i.e. similarity and identity in program structure. (A related question was how to judge the goodness of a theory.)

I have tried to reference common interactions with notions related to isomorphism, e.g. map, template, pattern, poetic structure, rhythm, etc., and to use as informal a language as possible. (These essays and exercises are not intended for mathematically experienced readers.)

The development of this set of essays is in process. Live links indicate finished (at least for the time being) documents.

 

ESSAYS (some with exercises)

Beyond Scope and Sequence: evaluating curriculum (in progress)

Creative Isomorphism: Constructing Metaphors to Expand Our Understanding (in progress)

Evaluating Theories - how theory works

In What Way Are Language Translations Isomorphic? (in progress)

Isormorphism Everywhere? Imagination, Likeness, and Identity (part A)

Isormorphism Made Recognizable -- identifying shared structures of thought

Examples Demonstrated from the Document Isormorphism Made Recognizable

Recognition-Equivalence Classes (r/e-classes) -- the structure of natural language categories

Replicating or Disguising a Program (in progress)

Policy Isomorphisms (in progress)

Theory and Program: Isomorphic Structures -- Using, Rather Than Merely Alluding To, Theory

Answers to Questions and Problems Found on Theory and Program: Isomorphic Structure

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