SummaryAfter giving examples for different relations of analogy among different objects the gist of analogy relations are interpreted as homomorphism and isomorphism . The main purpose of the paper is to give a number of precise definitions for different kinds of analogy . In chapter 7 definitions are proposed for analogy relations between theories and common features of the relations T1 is anologous to T2 and T1 is interpretable in T2 are discussed. Chapter 8 compares analogy and transformation and chapter (...) 9 proves some theorems on analogy. (shrink)

A characterization of the modelling process in science is proposed for science education, based on Mario Bunge’s ideas about the construction of models in science. Galileo’s Dialogues are analysed as a potentially fruitful starting point to implement strategies aimed at modelling in the classroom in the light of that proposal. It is argued that a modelling process for science education can be conceived as the evolution from phenomenological approaches towards more representational ones, emphasizing the role of abstraction and idealization in (...) model construction. The shift of reference of theories—from sensible objects to conceptual objects—and the black-box models construction process, which are both explicitly presented features in Galileo’s Dialogues, are indicated as highly relevant aspects for modelling in science education. (shrink)