”storyline – with mathematics inside or outside?” flotur iceland, 1st and 2nd of october 2004...

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”Storyline – with mathematics inside or outside?” Flotur Iceland, 1st and 2nd of October 2004 Janne Fauskanger

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Page 1: ”Storyline – with mathematics inside or outside?” Flotur Iceland, 1st and 2nd of October 2004 Janne Fauskanger

”Storyline – with mathematics

inside or outside?”

Flotur Iceland, 1st and 2nd of October2004

Janne Fauskanger

Page 2: ”Storyline – with mathematics inside or outside?” Flotur Iceland, 1st and 2nd of October 2004 Janne Fauskanger

Disposition

1. Why this title?2. A short presentation of a model3. Mathematics in building the

storyline context4. The model again – examples5. Storyline unit/questions and

discussion

Page 3: ”Storyline – with mathematics inside or outside?” Flotur Iceland, 1st and 2nd of October 2004 Janne Fauskanger

Why this title?

2 examples:– Mathematics inside– Mathematics outside

Teachers think it is difficult to allow mathematics play a useful part in a storyline

Page 4: ”Storyline – with mathematics inside or outside?” Flotur Iceland, 1st and 2nd of October 2004 Janne Fauskanger

A short presentation of a model

Mathematics

M

M

M

M M

Storyline

Page 5: ”Storyline – with mathematics inside or outside?” Flotur Iceland, 1st and 2nd of October 2004 Janne Fauskanger

Mathematics in building the storylinecontext

Page 6: ”Storyline – with mathematics inside or outside?” Flotur Iceland, 1st and 2nd of October 2004 Janne Fauskanger

Mathematical storylinecontexts

Page 7: ”Storyline – with mathematics inside or outside?” Flotur Iceland, 1st and 2nd of October 2004 Janne Fauskanger

Context details - Christmas

Page 8: ”Storyline – with mathematics inside or outside?” Flotur Iceland, 1st and 2nd of October 2004 Janne Fauskanger

Figur 4: Byens moské og kulturhus

Figur 5: To av studentenes tesselleringer

Page 9: ”Storyline – with mathematics inside or outside?” Flotur Iceland, 1st and 2nd of October 2004 Janne Fauskanger

Challenging context details - Gothic archs

Page 10: ”Storyline – with mathematics inside or outside?” Flotur Iceland, 1st and 2nd of October 2004 Janne Fauskanger

Equilateral arch

http://www.newyorkcarver.com/geometry/arch.htm

Page 11: ”Storyline – with mathematics inside or outside?” Flotur Iceland, 1st and 2nd of October 2004 Janne Fauskanger

The model again – examples

Mathematics as a large part of the storyline

Page 12: ”Storyline – with mathematics inside or outside?” Flotur Iceland, 1st and 2nd of October 2004 Janne Fauskanger

The model again – examples

Mathematics as a small part of the storyline

Mathematics both inside and outside – ”mathematical loops”

Mathematics based on the storyline, but not as a part of the storyline

Other mathematics

Page 13: ”Storyline – with mathematics inside or outside?” Flotur Iceland, 1st and 2nd of October 2004 Janne Fauskanger

Storyline newshttp://www.storyline-scotland.com/news.htmlMathematical contexts Gotic archs:

http://www.newyorkcarver.com/geometry/arch.htm Islamic patterns:

http://www.counton.org/explorer/morphing/07islamictilings.shtml

http://www.freenetpages.co.uk/hp/mdace/geom.htm Brasilia:

http://www.geocities.com/TheTropics/3416/bsb_port.htm