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Learning with Multiple Representations (Advances in Learning by M.W. van Someren, P. Reimann, H.P.A. Boshuizen, T. de Jong

By M.W. van Someren, P. Reimann, H.P.A. Boshuizen, T. de Jong

The publication is written within the framework of a ecu collaborative examine programme, studying in people and Machines, funded by way of the ecu technological know-how beginning. The book's objective is to gather papers on studying declarative wisdom and challenge fixing talents that contain a number of representations reminiscent of verbal, graphical and mathematical representations, wisdom at diversified degrees of abstraction (e.g. qualitative and quantitative, particular situations or basic models). one of many pursuits of the examine programme is to illustrate current and to begin new collaboration among academic sciences, psychology and computer studying. the 1st goal of this publication is to provide an summary of the cutting-edge of the subject of studying related to diversified representations within the type of evaluation chapters. The ebook covers methods to this subject from diversified views: academic, cognitive modelling and computing device studying. It comprises either theoretical analyses and stories in software contexts. the second one target of the ebook is to give present examine on those subject matters and to articulate examine concerns for destiny examine. this can be performed within the type of a set of study papers and reflective chapters.

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In TeEl a sequence of four models is offered. In this sequence different perspectives on the model are offered, and even a system switch is made: the first two levels handle pressure distribution in a pipe, whereas the latter levels handle voltage and current distribution over a wire. The underlying model of these systems is the same. Learners see the same output representation for all model progressions: two arrays of sliders representing the pressure and velocity, or voltage and current, at various positions.

Ainsworth et al. describe two empirical studies of technology-based learning with multiple representations. The domain considered is number sense; an increasingly important aspect of mathematics education. It can be defined as a "sound understanding of the meaning of a number and of relationships between numbers, a good understanding of the relative magnitudes of numbers and awareness of numbers used in everyday life" (National Council of Teachers of Mathematics, 1989). Two aspects of mathematical understanding linked to number sense are the role of approximate solutions (computational estimation) and considering multiple ways to solve problems.

G. selective, ordered or quantitative variables), which it is essential to understand when processing a graph. In addition, these elements of the graphic sign system show that parsing information from a graph is a non-linear process that could not, for example, be talked about linearly over a phone line. Fourthly, a single graph can be processed and, thus, understood in multiple ways depending on the reader's level of expertise in the domain the graph represents and on the questions the reader has targeted to the retrieval of information from a graph (see Bertin, 1981, 1983).

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