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Anais do IHC'2001 - Departamento de Informática e Estatística - UFSC

Anais do IHC'2001 - Departamento de Informática e Estatística - UFSC

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238<br />

<strong>Anais</strong> <strong>do</strong> IHC’2001 - IV Workshop sobre Fatores Humanos em Sistemas Computacionais<br />

The interesting fact about Punnet Squares, from Stenning and In<strong>de</strong>r’s perspective, is the<br />

emerging meaning in the representation, that no genetic traits can be in<strong>de</strong>terminate.<br />

Therefore, the Punnet Square <strong>do</strong>es not easily yield itself to a continuous constructive<br />

progression of the concept. The table can only be filled out when and if the principle is<br />

fully known. It cannot be used in the process of learning the principle (where knowledge<br />

goes through successive stages of <strong>de</strong>creasing in<strong>de</strong>terminacy).<br />

These two brief examples from different <strong>do</strong>mains provi<strong>de</strong> us with some interesting insights<br />

regarding DCM and RDCM for interacting with learnware. They draw attention to the fact<br />

that the visual representation of in<strong>de</strong>terminacy requires diagrams or images that can<br />

represent types [Stenning & In<strong>de</strong>r, 1995; Stenning & Oberlan<strong>de</strong>r, 1995]. In<strong>de</strong>terminacy<br />

may be important for different reasons. First, it may be the case that there are cases of<br />

in<strong>de</strong>terminacy in the <strong>do</strong>main of knowledge being learned (see the Euler Circles example).<br />

Second, it may alternatively happen that, although there are no cases of in<strong>de</strong>terminacy in<br />

the <strong>do</strong>main, the gradual construction of knowledge structures may require the<br />

representation of in<strong>de</strong>terminate states in the learners’ conceptualizations (see the Punnet<br />

Square example).<br />

Viewed from this perspective, the evolution from DCM to RDCM interaction with Super<br />

Tangrams © corresponds to a gradual <strong>de</strong>crease of the referential <strong>de</strong>terminacy of visual<br />

representations until a minimal threshold is reached. Visual cases of in<strong>de</strong>terminacy, in ST,<br />

are compensated with internalized concepts that are arguably available in symbolic form<br />

(the pre-linguistic mental formulation of general principles that have been learned from<br />

previous more <strong>de</strong>terminate stages of representation). We can then anticipate that the style<br />

of learning a<strong>do</strong>pted in ST would not be easily reproducible for teaching Logic with Euler<br />

Circles or Genetics with Punnet Squares.<br />

Conclusion<br />

The previous sections give us some interesting elements to respond to the issues posed so<br />

far about the value of DCM and RDCM as distinct interface styles in learnware. Firstly, in<br />

semiotic terms DCM and RDCM can be argued to be more closely related than has been<br />

originally suggested. In fact, the phenomenological categories of secondness (that refers to<br />

establishing relations between two entities) and thirdness (that refers to establishing<br />

relations between at least three entities) can suitably characterize the interface signs used in<br />

Super Tangrams © . The relevance of this argument is that the availability of a theoretical<br />

framework that can a<strong>de</strong>quately account for <strong>de</strong>sign choices based on heuristic gui<strong>de</strong>lines<br />

and experimental observations allows us to explore a number of predictions and<br />

explanations of HCI phenomena in the <strong>do</strong>main of learnware. These predictions are backed<br />

by semiotic theory, and can help us not only probe the spectrum of possible answers to<br />

known questions, but perhaps more importantly to formulate new questions and advance<br />

our knowledge in the field.<br />

To illustrate this point, we can already conjecture about the issues raised in previous<br />

studies with the system.<br />

1. What visual representations [should we] use to facilitate [the] <strong>de</strong>velopment of proper<br />

conceptual mo<strong>de</strong>ls?<br />

Our analysis seems to support the conjecture that we should use those representations (a)<br />

that can be related to the secondness as well as thirdness of their objects, and (b) that can

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