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Rubik’s Cube example of an “understanding of science” artefact by epitome and elaboration.

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Presentation on theme: "Rubik’s Cube example of an “understanding of science” artefact by epitome and elaboration."— Presentation transcript:

1 Rubik’s Cube example of an “understanding of science” artefact by epitome and elaboration

2 design plan basic organization: Epitome plus Elaborations where to starthow to proceed

3 Epitome is  minimal  complete  concrete  accessible background  interesting is not  abstract  atypical

4 Elaborations  retain structure of epitome  elaborate on aspects of epitome content  introduce background as necessary facts, notation, jargon  develop experience to support induction to concepts, principles, theories philosophy 101

5 Example – organizing structure 20 cubes to locate correctly Locate cubes Top layer Middle layerBottom layer Edge cubes Corner cubes 1 st 2,34 th etc... epitome

6 appreciation of solving Rubik’s cube 20 cubes to locate correctly  epitome: locate first cube (easy)  19 elaborations: locate next cube (harder and harder)

7 appreciation of solving Rubik’s cube - introduction 20 cubes to locate correctly  3 x 3 x 3 = 27 cubes  1 cube is invisible (in centre)  6 cubes are fixed so, 20 cubes to locate some notation  top, middle bottom layer  edge cube, corner cube  top, bottom, front, back, left, right faces

8 Epitome – locate first cube (1)  locate first cube to top front (red/blue) 1.find cube with top and front colours 2.move cube to bottom front 3.move cube to top front by a.quick move, or b.tricky moves

9 Epitome – locate first cube (1) 1.find edge cube with top and front colours 2.move that cube to bottom front

10 Epitome – locate first cube (2) 3 a if front colour matches, rotate to top

11 Epitome – locate first cube (3) 3 b if front colour does not match, rotate to side, rotate up, rotate to top

12 Epitome is  minimal - easiest cube to locate  complete – extent, alternatives  concrete  accessible – minimal jargon and notation background – some familiarity with Rubik’s cube  interesting – is relevant, poses a problem, shows progress is not  abstract  atypical

13 Elaborations – place other cubes  retain structure of epitome – place a cube  elaborate on aspects of epitome content longer sequences, more alternatives, temporary displacement of located cubes  introduce background as necessary terminology for cube parts, notation for rotations, important rotation sequences  develop experience to support induction to concepts, principles, theories


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