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Research in Engineering Education Symposium 2011 - rees2009

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Universidad Politécnica de Madrid (UPM) Pág<strong>in</strong>a 51 de 957<br />

Analytical tools <strong>in</strong> eng<strong>in</strong>eer<strong>in</strong>g education research: The “learn<strong>in</strong>g a<br />

complex concept” model, threshold concepts and key concepts <strong>in</strong><br />

understand<strong>in</strong>g and design<strong>in</strong>g for student learn<strong>in</strong>g.<br />

Jonte Bernhard<br />

jonte.bernhard@liu.se<br />

L<strong>in</strong>köp<strong>in</strong>g University<br />

Norrköp<strong>in</strong>g, Sweden<br />

Anna-Kar<strong>in</strong> Carstensen<br />

anna-kar<strong>in</strong>.carstensen@jth.hj.se<br />

Jönköp<strong>in</strong>g University<br />

Jönköp<strong>in</strong>g, Sweden<br />

Margarita Holmberg<br />

margarita.holmberg@gmail.com<br />

Instituto Politécnico Nacional<br />

México City, Mexico<br />

Abstract: For a long time, most research relat<strong>in</strong>g to science and eng<strong>in</strong>eer<strong>in</strong>g<br />

education has exam<strong>in</strong>ed “misconceptions” about “s<strong>in</strong>gle concepts”, despite the<br />

fact that one common objective <strong>in</strong> many subjects is “to learn relationships”. In<br />

this paper we <strong>in</strong>troduce the notion of “a complex concept”, i.e. the idea of<br />

describ<strong>in</strong>g knowledge as a complex, a holistic unit, consist<strong>in</strong>g of <strong>in</strong>terdependent<br />

and <strong>in</strong>terrelated “s<strong>in</strong>gle concepts”. We describe how this conception could be<br />

used to identify both problems associated with learn<strong>in</strong>g as well potentials for<br />

learn<strong>in</strong>g. We will also relate the notion of a complex concept to the notion of<br />

threshold and key concepts.<br />

Introduction<br />

In recent years there has been <strong>in</strong>creas<strong>in</strong>g research <strong>in</strong>to the critical factors associated with<br />

learn<strong>in</strong>g with<strong>in</strong> eng<strong>in</strong>eer<strong>in</strong>g education; <strong>in</strong>deed, the eng<strong>in</strong>eer<strong>in</strong>g education research (EER)<br />

field has started to mature (cf. Baillie & Bernhard, 2009; Borrego & Bernhard, <strong>2011</strong>).<br />

With<strong>in</strong> EER there has been little explicit discussion of the issue of methodology (cf. Case &<br />

Light, <strong>2011</strong>). Any such discussion should be closely <strong>in</strong>tertw<strong>in</strong>ed with theoretical<br />

perspectives and the selected epistemology. As succ<strong>in</strong>ctly stated by Marton and Pang<br />

(2008, p. 543), we must start with the questions why? and what? (e.g. Borrego & Bernhard,<br />

<strong>2011</strong>; Melez<strong>in</strong>ek, 1977) and “first of all, [ask] what k<strong>in</strong>d of capability do we want<br />

[students] to nurture?” In both eng<strong>in</strong>eer<strong>in</strong>g and physics education, a common objective is<br />

that students should learn to use theories and models <strong>in</strong> order to understand the<br />

relationship between theories and models, and objects and events, and to develop holistic,<br />

conceptual knowledge. Eng<strong>in</strong>eer<strong>in</strong>g students are expected to use, or learn to use, symbolic<br />

and physical tools (such as concepts, theories, models, representations, <strong>in</strong>scriptions,<br />

mathematics, <strong>in</strong>struments and devices) <strong>in</strong> order both to understand the phenomena be<strong>in</strong>g<br />

studied, and to develop the skills and abilities to use the tools themselves to solve real-<br />

Proceed<strong>in</strong>gs of <strong>Research</strong> <strong>in</strong> Eng<strong>in</strong>eer<strong>in</strong>g <strong>Education</strong> <strong>Symposium</strong> <strong>2011</strong><br />

Madrid, 4 th - 7 th October <strong>2011</strong>

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