115 research outputs found

    Theoretical models of the role of visualisation in learning formal reasoning

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    Although there is empirical evidence that visualisation tools can help students to learn formal subjects such as logic, and although particular strategies and conceptual difficulties have been identified, it has so far proved difficult to provide a general model of learning in this context that accounts for these findings in a systematic way. In this paper, four attempts at explaining the relative difficulty of formal concepts and the role of visualisation in this learning process are presented. These explanations draw on several existing theories, including Vygotsky's Zone of Proximal Development, Green's Cognitive Dimensions, the Popper-Campbell model of conjectural learning, and cognitive complexity. The paper concludes with a comparison of the utility and applicability of the different models. It is also accompanied by a reflexive commentary[0] (linked to this paper as a hypertext) that examines the ways in which theory has been used within these arguments, and which attempts to relate these uses to the wider context of learning technology research

    Learning from interactions with software: a Popperian analysis

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    This paper introduces a method of analysing learning situations, based on the work of Karl Popper, and applies it to some examples of software-based teaching innovations. The basis of Popperian analysis is identification of processes of discontinuous trial-and-improvement of 'strategic theories' (students' conjectured constructions of some sort of reality) under the selection pressures provided by 'concerns' (problems of special interest to the student). It requires us to examine the mechanisms by which teachers' target problems become students' concerns; the mechanisms by which students improve upon their existing strategic theories in the direction of target theories; and the encouragement given to the raising of new problems. The examples considered include a CD-ROM on natural selection, a CD-ROM on the work of Homer, a tool for supporting the learning of formal reasoning, a negotiation simulation, and SimCity
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