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1177-threshold-concepts-and-transformational-learning

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DAVID PERKINSFOREWORDEntrance…<strong>and</strong> entrance. Am I repeating myself? Not if you listen really hard. Thefirst ‘entrance’ has the accent on the initial syllable <strong>and</strong> the second on the ultimate –EN-trance <strong>and</strong> en-TRANCE. Such pairs are called heteronyms, same spelling,different pronunciation. Both words trace their ancestry back to the Latin transire,to go across, albeit by quite different routes. And both words apply quite well tothe notion of <strong>threshold</strong> <strong>concepts</strong>, launched through seminal articles by Ray L<strong>and</strong>,Jan Meyer <strong>and</strong> their colleagues a few years ago <strong>and</strong> explored <strong>and</strong> extended here, aswell as in two previous volumes (L<strong>and</strong> et al 2005, L<strong>and</strong>, Meyer <strong>and</strong> Smith 2008,Meyer <strong>and</strong> L<strong>and</strong> 2003, 2005, 2006, 2009, Meyer, L<strong>and</strong> <strong>and</strong> Davies, 2008).Meaning 1: EN-trance. When learners acquire a <strong>threshold</strong> concept, they enterinto a new realm of underst<strong>and</strong>ing. Quick examples include the <strong>concepts</strong> of ‘limit’in mathematics, ‘gravity’ in physics, ‘depreciation’ in accounting, <strong>and</strong> ‘deconstruction’in literature. Innumerable other instances populate the chapters of this volume.Many of these transformative ideas are not <strong>concepts</strong> in any strict sense but variedways of thinking <strong>and</strong> practicing with a <strong>threshold</strong>-like nature, all of them affordingentrance in one sense or another.Meaning 2: en-TRANCE. This volume <strong>and</strong> its predecessors give ample evidencethat <strong>threshold</strong> <strong>concepts</strong> entrance -- they entrance scholars <strong>and</strong> teachers concernedwith the nature <strong>and</strong> challenges of <strong>learning</strong> in the disciplines. Discourse around<strong>threshold</strong> <strong>concepts</strong> has proven to offer something of a common language, provokereflection on the structure of disciplinary knowledge, <strong>and</strong> inspire investigations oflearners’ typical hangups <strong>and</strong> ways to help. Indeed, it’s been my pleasure to add tothis conversation from time to time on the theme of troublesome knowledge, thecharacteristic ways in which <strong>learning</strong> poses challenges (e.g. tacit knowledge,conceptually difficult knowledge, ritual knowledge) <strong>and</strong> the value of constructing"theories of difficulty" for the disciplines that chart where the cracks <strong>and</strong> chasms of<strong>learning</strong> lie <strong>and</strong> suggest ways of bridging them.So why the entrancement? What is it that so many educators have found alluringabout <strong>threshold</strong> <strong>concepts</strong>? One answer touched on in the upcoming introductionwas suggested by Glynis Cousin (2007) a couple of years ago – <strong>threshold</strong> <strong>concepts</strong>invite instructors to examine their disciplines rather than looking directly at theirteaching practice, both a more comfortable <strong>and</strong> a more interesting journey formany.Another related reason seems to be the very fecundity of <strong>threshold</strong> <strong>concepts</strong>, theevolutionary proclivity of the idea toward adventurous <strong>and</strong> fruitful mutation. As anoccasional participant in these conversations, I am always struck by howproductively imprecise the notion is.xliii

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