Fractals are geometric figures where each part mirrors the statistical character of the whole, useful in modeling natural structures and phenomena like snowflakes and crystal growth. They are generated through mathematical sets with feedback loops, illustrating complex systems and chaotic behavior. The document also emphasizes the importance of vulnerability in learning and professional development within educational environments.

2. frac·tal
/ˈfraktəl/
noun
!
1. a curve or geometric figure, each part of which has the same
statistical character as the whole. Fractals are useful in modeling
structures (such as eroded coastlines or snowflakes) in which
similar patterns recur at progressively smaller scales, and in
describing partly random or chaotic phenomena such as crystal
growth, fluid turbulence, and galaxy formation.
Fractal

3. Image by Elaine Normandy CC-BY-NC-SA

4. Fractals are based on mathematical sets.
Slide by Michelle Pacansky-BrockImage by Elaine Normandy CC-BY-NC-SA

5. Image by Fernando Matias CC-BY-NC-NDImage by Norman CC-BY
…also a natural phenomenon.
Slide by Michelle Pacansky-BrockImage by light2shine CC-BY-NC-ND

6. Image by Fernando Matias CC-BY-NC-NDImage by Norman CC-BY

7. Image by Doc Searls CC-BY

8. Mathematical fractals are generated by
applying a feedback loop to a system.
Z = Z2 + C
Slide by Michelle Pacansky-Brock

9. Slide by Michelle Pacansky-Brock

10. Slide by Michelle Pacansky-Brock

11. Slide by Michelle Pacansky-Brock

12. Slide by Michelle Pacansky-Brock

13. Slide by Michelle Pacansky-BrockSlide by Michelle Pacansky-Brock

14. Slide by Michelle Pacansky-Brock

15. Slide by Michelle Pacansky-Brock

16. Slide by Michelle Pacansky-Brock

18. image by Michelle Pacansky-Brock CC-BY

19. learning
differences
image by JD Hancock CC-BY

20. photo by KevinLau CC-BY-NC-ND

21. photo by Jo Christian Oterhals CC-BY-NC-ND

22. Image by Serumpun Bambu CC-BY-NC

23. Image by Matthieu Mingasson CC-BY

24. Image by Gustavo Devito CC-BY

25. PhotobyDanWinkler
Used with permission fromVoiceThread.
Slide by Michelle Pacansky-Brock

27. CC-BY Michelle Pacansky-Brock
learning environments
must be inclusive
Slide by Michelle Pacansky-Brock

28. Image by Idolecture CC-BY-NC-SA
It’s up to me to sustain my
professional transformation.
Slide by Michelle Pacansky-Brock

29. photo by Kodomut CC-BY
jump!
Slide by Michelle Pacansky-Brock

30. Slide by Michelle Pacansky-Brock

31. I will make order
from chaos
by staying true
to myself.
(Eeoyang, 2009.)
Slide by Michelle Pacansky-Brock

32. MPBReflections.blogspot.com

33. TeachingWithoutWalls.com

37. Visualization of LinkedIn network created at: http://inmaps.linkedinlabs.com/ Slide by Michelle Pacansky-Brock

40. by Dr. Seuss All Rights Reserved
I want to go back.
I know I should not.

41. Realizations…
I’m making a difference
Slide by Michelle Pacansky-Brock

42. Photo%by%Giulio%Menna%0%Crea3ve%Commons%A8ribu3on0NonCommercial0ShareAlike%License%%h8p://www.flickr.com/photos/35694389@N02% Created%with%Haiku%Deck%

43. Photo%by%Design%By%Zouny%1%Crea5ve%Commons%A9ribu5on%License%%h9p://www.flickr.com/photos/47440581@N07% Created%with%Haiku%Deck%

44. Slide by Michelle Pacansky-Brock
IRRELEVANCE

45. IRRELEVANCE
Authentic living
brings us to our passion.
Slide by Michelle Pacansky-Brock

46. LEARNING OUT LOUD
Changing St*dents’ Mindsets About Voice Comments
How are my teaching changes
affecting student experiences?

47. 0
7.5
15
22.5
30
1 2 3 4 5
Week 4 Survey (after 3 VTs, 1 req’d voice/video commenting).
Sp 14 Fa 13 Sp 13 Fa 12
n=90
How nervous were you when you left your
first voice/video comment?
Slide by Michelle Pacansky-Brock
very nervous not nervous

48. 0
7.5
15
22.5
30
1 2 3 4 5
Now when you comment in voice/video, how
nervous are you?
Week 4 Survey (after 3 VTs, 1 req’d voice/video commenting).
very nervous not nervous
Sp 14 Fa 13 Sp 13 Fa 12
n=90
Slide by Michelle Pacansky-Brock

49. n=49 Fall 2013, Spring 2013, Fall 2012
Learning Out Loud Student Survey % Strongly Agreed/Agreed
If you had completed an online class before this
one, was this the first time you have been required
to participate in voice?
84%
Communicating with online voice/video is an
important 21st century skill. 85%
I noticed an improvement in my ability to speak
more clearly in the voice/video comments. 73%
The voice activities made me feel like I was part
of a group. 92%
Slide by Michelle Pacansky-Brock

50. photo by Chris Mattia All Rights Reserved
Finding happiness means
connecting with like-minded people.

51. Slide by Michelle Pacansky-Brock
And organizations that
value your ideas.

52. The Center.
Social Learning for Higher Ed
v
v
Center graphic by
Jim Bumgardner
CC-BY-NC-SA
Slide by Michelle Pacansky-Brock

53. Slide by Michelle Pacansky-Brock
Social professional development
is experiential learning for educators.

54. photo by Kodomut CC-BY Slide by Michelle Pacansky-Brock
How can we learn to value
vulnerability as essential to life?

55. Slide by Michelle Pacansky-Brock
Vulnerability
must become
our feedback loop.

56. – B R E N E B R O W N
!
“Vulnerability sounds like truth and
feels like courage. Truth and courage
aren't always comfortable, but
they're never weakness.”
Slide by Michelle Pacansky-Brock

57. – B R E N E B R O W N
!
“Vulnerability is the
birthplace of innovation,
creativity and change.”
Slide by Michelle Pacansky-Brock

58. This mindset
will not
change our
future.
Slide by Michelle Pacansky-Brock

59. “In a world where value
is shifting rapidly
from things to knowledge,
knowledge workers
are the new means of production.
And it follows that
the social network
is the new production line.”
-Ginni Rometty, CEO of IBM
Slide by Michelle Pacansky-Brock