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Putting things in perspective Adrian Oldknow [email protected] 9 th December 2004
18
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Page 1: Putting things in perspective Adrian Oldknow a_oldknow@compuserve.com 9 th December 2004.

Putting things in perspective

Adrian Oldknow

[email protected]

9th December 2004

Page 2: Putting things in perspective Adrian Oldknow a_oldknow@compuserve.com 9 th December 2004.

Where’s this bridge?

Page 3: Putting things in perspective Adrian Oldknow a_oldknow@compuserve.com 9 th December 2004.

Get the point?

Page 4: Putting things in perspective Adrian Oldknow a_oldknow@compuserve.com 9 th December 2004.

Been there, done that – got the photograph

Page 5: Putting things in perspective Adrian Oldknow a_oldknow@compuserve.com 9 th December 2004.

Is it a circle?

Page 6: Putting things in perspective Adrian Oldknow a_oldknow@compuserve.com 9 th December 2004.

Is this a circle?

Page 7: Putting things in perspective Adrian Oldknow a_oldknow@compuserve.com 9 th December 2004.

It all depends where you stand

Page 8: Putting things in perspective Adrian Oldknow a_oldknow@compuserve.com 9 th December 2004.

A cone-slicing machine

Page 9: Putting things in perspective Adrian Oldknow a_oldknow@compuserve.com 9 th December 2004.

How to draw an ellipse?

Page 10: Putting things in perspective Adrian Oldknow a_oldknow@compuserve.com 9 th December 2004.

Just need a little light to see by

Page 11: Putting things in perspective Adrian Oldknow a_oldknow@compuserve.com 9 th December 2004.

Cabri II Plus knows it’s a hyperbola

Page 12: Putting things in perspective Adrian Oldknow a_oldknow@compuserve.com 9 th December 2004.

Cabri 3D draws a 5 point conic

Page 13: Putting things in perspective Adrian Oldknow a_oldknow@compuserve.com 9 th December 2004.

Ellipse as a locus

Page 14: Putting things in perspective Adrian Oldknow a_oldknow@compuserve.com 9 th December 2004.

5-point ellipse with focus F, near point P and far point Q.

Page 15: Putting things in perspective Adrian Oldknow a_oldknow@compuserve.com 9 th December 2004.

Worth it? Planets or electrons?

Page 16: Putting things in perspective Adrian Oldknow a_oldknow@compuserve.com 9 th December 2004.

Geometry 11-19

• The RS/JMC report

• The curriculum - no conics anywhere!

• Circles at KS3, KS4, AS, A2

• Locus at KS3/4 in Ma3

• OK to do parabola, ellipse, hyperbola

• But not statutory

• Even though they’re all around

Page 17: Putting things in perspective Adrian Oldknow a_oldknow@compuserve.com 9 th December 2004.

From the RS/JMC report

• Recommendation 8: We recommend that the geometry curriculum be developed to give greater emphasis to work in 3-dimensions and to make better use of Information and Communication Technology (ICT).

Page 18: Putting things in perspective Adrian Oldknow a_oldknow@compuserve.com 9 th December 2004.

So perspective could be another linking theme, and bring in Art, too.

• Resources: ICT, models, books, videos..

• Technical know-how:– Subjects – school/LEA– Cabri 3D – Adrian + developers– ICT tools – school/LEA/Adrian