The document provides guidance for students on how to succeed in mathematics class by arriving prepared with materials, doing homework, asking questions, getting extra help, forming study groups, and participating regularly online. Key practices emphasized include reviewing notes daily, setting aside regular time for homework, and asking lots of questions about anything not understood.

1. De
Ma sig
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Da rren Ku ropatwa 2.0
u B C-SA
.me/dkeira / CCEY-Nge
about ndnSglvThe d
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er 2012
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Enmtb raa o ob
19 Oct
Su se /
g the
,
innipeg
Watchin
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Watching the Sunset / Fernando Silveira / CC BY-NC-SA 2.0

2. <begin>

3. <design>

4. Design: first, let’s get visual ...

5. Robie House

6. gton D C metro station
Washin

7. peace optimism fun
trustworthy ecology enlightenment flamboyant
dependable illness happiness warmth
committed Government-issued energy
stimulant, balance of youthful
Colour exciting red simulation fun
energy exciting
Messages and blue calm
lighthearted
draws attention
and Meanings
timeless authoritative
practical
stability, purity solid
reliability cleanliness
approachability neutrality powerful

9. "Grand Design" Spiral Galaxy M81

11. e si gn
D
Robie House

12. e si gn
D
funct ional
Robie House

13. e si gn
D
funct ional
intentional
Robie House

14. e si gn
D
funct ional
intentional
beautifu
l
Robie House

15. Why should kids care about learning?

16. Why should kids care about mathematics?

17. Why should kids care about mathematics?
job skills, needs of science
and technology
One Of These Buttons Will Get Me Out Of Here / Bart / CC BY-NC 2.0

18. Why should kids care about mathematics?
job skills, needs of science
and technology
essential understanding to
be a responsible citizen
Girly Giggles / Trent McBride / CC BY-NC 2.0
Note: only 48 stars! / David Zeuthen / CC BY-NC-SA 2.0

19. Why should kids care about mathematics?
job skills, needs of science
and technology
essential understanding to
be a responsible citizen
Girly Giggles / Trent McBride / CC BY-NC 2.0
Note: only 48 stars! / David Zeuthen / CC BY-NC-SA 2.0

20. Why should kids care about mathematics?
job skills, needs of science
and technology
essential understanding to
be a responsible citizen
Girly Giggles / Trent McBride / CC BY-NC 2.0
Note: only 48 stars! / David Zeuthen / CC BY-NC-SA 2.0

21. Why should kids care about mathematics?
job skills, needs of science
and technology
curiosity
beauty
essential understanding to
play
be a responsible citizen
and transcendence

22. Why should kids care about mathematics?
curiosity
beauty
essential understanding to
play
be a responsible citizen
and transcendence

23. Why kids should care about learning.
Bubbles / Andrey Zhukov / CC BY-NC 2.0

24. Design: first, let’s get visual ...
... now let me tell you about stories

26. What’s your personal narrative ...

27. What’s your personal narrative ...
in 4 slides?

33. Can “fun” change behaviour for the better?

35. noun
Design

36. Design
verb

37. The Coyote as a designer
Road Runner: Willy Coyote contro Beep-Beep

38. Road Runner: Willy Coyote contro Beep-Beep

39. Tim Hartford on trial and error

41. I think reckless curiosity would
be what the world needs now.
Andrew Bird
Andrew Bird / Guus Krol / CC BY-NC-ND 2.0

42. le ss cur iosity?
ning for reck
e desi gn lear
can w
Play & Learn
learn by flickr user Mark Brannan
http://www.flickr.com/photos/heycoach/1197947341/
Play! by flickr user Matteo Angelino
http://www.flickr.com/photos/angelinux/2775107421/

43. </design>

44. <presentations>

45. Hypnotizing Chickens
a pre-modern presentation

46. Hypnotizing Chickens
a modern presentation

47. Hypnotizing Chickens
a post-modern presentation
Little chicken by flickr user Lovro67
http://www.flickr.com/photos/30978323@N02/3755800512/

49. Why “Hypnotizing Chickens”?

51. “Why would you use
Why?
words on the screen
when they do just fine
in your mouth”
Seth Godin

53. 0 w p m
1 5
Judy Mouth Open by flicker user Jason Nelms
http://www.flickr.com/photos/thejs/35407165/

54. 0 w p m
2 5
wick
rat Lozo
u
er S
ick r us
by fl
/365 /
| 24 393580
ife 303
rn L
ode owick/4
to M z
lied /suratlo
pp os
gy A t
holo om/pho
yc r.c
g Ps k
adin ww.flic
Re //w
:
http

55. .adobe.com

56. Keeping An Eye On Time by flickr user badboy69
http://www.flickr.com/photos/badboy69/2333409688/

58. cc licensed ( BY NC SA ) flickr photo by misterbisson:
http://flickr.com/photos/maisonbisson/201844037/

59. If you can’t explain it simply, you
don’t understand it well enough.

60. Times New Roman 96 pt
Times New Roman 48 pt
Times New Roman 30 pt
Times New Roman 14 pt

61. Can you read this?
Can you read this?

62. Helvetica 96 pt
Times New Roman 96 pt

65. Bonnie Bassler teaches biology

67. Bonnie Bassler @ TED
#slides 5

68. Bonnie Bassler @ TED
#slides 5
uses a “black slide” (so really 6 slides)

69. Bonnie Bassler @ TED
#slides 5
uses a “black slide” (so really 6 slides)
time taken 1min 37 sec

70. Bonnie Bassler @ TED
Simplifies complex ideas

71. Bonnie Bassler @ TED
Simplifies complex ideas
Unexpected bacteria vrs human

72. Bonnie Bassler @ TED
Simplifies complex ideas
Unexpected bacteria vrs human
Credible (Dr. Bassler)

73. Bonnie Bassler @ TED
Simplifies complex ideas
Unexpected bacteria vrs human
Credible (Dr. Bassler)
Concrete (bacteria)

74. Bonnie Bassler @ TED
Simplifies complex ideas
Unexpected bacteria vrs human
Credible (Dr. Bassler)
Concrete (bacteria)
Emotional (passion & laughter)

75. Bonnie Bassler @ TED
Simplifies complex ideas
Unexpected bacteria vrs human
Credible (Dr. Bassler)
Concrete (bacteria)
Emotional (passion & laughter)
Story (wanna know what she says next?)

76. Simple
Unexpected
Credible
Concrete
Emotional
Stories
s

77. If you can’t explain it simply, you
don’t understand it well enough.

78. Eric Berlow: How Complexity Leads to Simplicity

80. </presentations>

81. <teaching>

82. A Pedagogical Framework
x
=

83. Three (practices and) principles

84. Three (practices and) principles

86. Students’ Errors and Misconceptions
(Principle 1) Based on Previous Learning
Students come to the classroom with conceptions of numbers grounded in
their whole-number learning that lead them astray in the world of rational
numbers; e.g. multiplying always makes numbers bigger.
x =
Teachers must engage students’ preconceptions

87. Understanding requires factual knowledge
and conceptual frameworks
The Knowledge Network:
(Principle 2) New Concepts and New Applications

88. 3
4

89. 0.75
3/4
3:4
3
4
$0.75
75%

90. 0.75
3/4
3:4
3
4
$0.75
75%

91. 0.75
3/4
3:4
3
4
$0.75
75%

92. 0.75
3/4
3:4
3
4
$0.75
75%

93. 0.75
3/4
3:4
3
4
$0.75
75%

94. kn owl edge isn’t s
in our head
een us
’s b etw
it
David Weinberger
Everything is Miscellaneous

95. Principle 3
Learning is facilitated through the
use of metacognitive strategies ...
A metacognitive approach
enables student self-monitoring

96. eror analysis

97. Find the error ...

98. community

99. community

102. A Pedagogical Framework
x
=

103. Short Term Assignments

104. the
flickr®
assignment
89

106. What is descriptive language, and why is it important to
your writing? (Brooksie's Symbolic)

107. WHAT I'M READING NOW / Chris / CC BY-NC-SA 2.0

108. Analogy is the motor
of the car of thought.
untitled / null0 / CC BY 2.0

109. analogy:thinking :: motor:car
untitled / null0 / CC BY 2.0

110. What does Pi sound like?

112. Long Term Assignments

113. ever ything
T tea ching
is NO he project.
d Lea rning they start t
Proje c t Base now b efore
need to k
they Horse and cart / Christian Guthier / CC BY-NC-SA

114. the
developing expert voices
project
98

115. DEVious

116. Watch and Learn: DEVious

117. Teasers ...

120. THE STORY OF
H.

137. <design challenge 1>

138. What’s your personal narrative ...

139. What’s your personal narrative ...
in 4 slides?

145. </design challenge 1>

146. <design challenge 2>

147. my first class
"All learning pivots on who we think we are, and
who we see ourselves as capable of becoming."
Frank Smith

148. Hi

149. The Escalator ...
escalator
What does this have to do with school?

150. The Escalator ...
escalator
What does this have to do with school?

151. Learn to do what
mathematicians do.
Magic is true! by flickr user photographer padawan

152. "All learning pivots on who we think we are, and who
we see ourselves as capable of becoming."
Frank Smith

153. Critical Path to Success!!
A student who wants to
succeed in this course will:
•!Always be on time for class.
time

154. Pewter Letters Numbers

155. Pewter Letters Numbers

156. Pewter Letters Numbers

157. Pewter Letters Numbers

158. 2
Pewter Letters Numbers

159. 6
Pewter Letters Numbers

160. MY CREDIT
I know I have lost by flickr user Monkey Magic

161. Critical Path to Success!!
A student who wants to succeed in this course will:
• Alway arrive to class prepared to work with all materials needed.
graphing calculator

162. Critical Path to Success!!
A student who wants to succeed in this course will:
• Alway arrive to class prepared to work with all materials needed.
3-ring binder
loose leaf
paper
notebook
or duotang
graphing calculator

163. Critical Path to Success!!
A student who wants to succeed in this course will:
• Alway arrive to class prepared to work with all materials needed.
3-ring binder
loose leaf
paper
notebook
or duotang
12 pencils
graphing calculator

164. Critical Path to Success!!
A student who wants to succeed in this course will:
• Alway arrive to class prepared to work with all materials needed.
3-ring binder
loose leaf
paper
notebook
or duotang
12 pencils
graphing calculator

165. Critical Path to Success!!
A student who wants to succeed in this course will:
• Alway arrive to class prepared to work with all materials needed.
3-ring binder
loose leaf
paper
notebook
or duotang
12 pencils
geometry set
graphing calculator

166. Critical Path to Success!!
A student who wants to
succeed in this course will:
• Always attempt ALL their
homework assignments.

167. Critical Path to Success!!
A student who wants to succeed in
this course will:
• Review their class notes
every night before going to bed.

168. The Curve of Forgetting ...
... describes how we retain or get rid of information
that we take in. It's based on a one-hour lecture.
more about Learning and Remembering

169. The Curve of Forgetting ...
... describes how we retain or get rid of information
that we take in. It's based on a one-hour lecture.
more about Learning and Remembering

170. The Curve of Forgetting ...
... describes how we retain or get rid of information
that we take in. It's based on a one-hour lecture.
more about Learning and Remembering

171. The Curve of Forgetting ...
... describes how we retain or get rid of information
that we take in. It's based on a one-hour lecture.
more about Learning and Remembering

172. Critical Path to Success!!
A student who wants to
succeed in this course will:
• Always ask LOTS of
questions about anything
they don't understand.

173. Critical Path to Success!!
A student who wants to
succeed in this course will:
• Always gets extra help from the teacher
when they feel they are falling behind.

174. Critical Path to Success!!
A student who wants to succeed in this course will:
• Find one or two people
to be their study partners
and form a study group.

175. Critical Path to Success!!
A student who wants to succeed
in this course will:
Consistently
set a regular
time of day to
do homework
assignments.

176. Critical Path to Success!!
A student who wants to succeed in this course will:
• Participate regulary on the course blog.
http://pc40sw09.blogspot.com

177. How to Create a Google Account
http://tinyurl.com/6f7aae

178. How to Sign Up For Blogger
http://tinyurl.com/6x83hs

179. "All learning pivots on who we think we are, and
who we see ourselves as capable of becoming."
Frank Smith

180. Homework
email Mr. Kuropatwa:
dkuropatwa@gmail.com
get a account
sign up at .com

181. Homework
Riddle me this ...
Why are there
360° in a circle?
The Riddler Fans Art

182. Have a nice day!

183. ... and don't forget
your homework.

184. Photo Credits
Graphing
http://flickr.com/photos/mewzii/149555960/
3-ring binders
http://farm2.static.flickr.com/1311/1292315430_285d142fbe_m.jpg
Sharpener
http://flickr.com/photos/big-e-mr-g/192174638/
Studying
http://flickr.com/photos/jamilsoni/90538195/
Aqua wins by a point
http://flickr.com/photos/jahdakinebrah/92200688/
Studying. As you should probably be doing right now.
http://flickr.com/photos/weshph/462633863/
Ross Homework
http://flickr.com/photos/laffy4k/418602591/
workstation
http://flickr.com/photos/striatic/241843728/
genius
http://flickr.com/photos/thearchigeek/223751752/
Smiley Face
http://flickr.com/photos/greyarea/1473/
Reviewing Notes
http://flickr.com/photos/knott/66465528/
email logo
http://flickr.com/photos/surfstyle/354581855/
Questions
http://flickr.com/photos/oberazzi/318947873/
Telephone Keypad
http://flickr.com/photos/cgc/5259321/
envelope
http://flickr.com/photos/bip/420177741/

185. </design challenge 2>

186. <design challenge 3>

188. i r
f a
e o
ad
m
e is most of a trees’ mass is
tre from the carbon it breathes
A
cc licensed ( BY NC SD ) flickr photo by dkuropatwa:
http://flickr.com/photos/dkuropatwa/2923120259/

189. </design challenge 3>

190. noun
Design

191. Design
verb

192. Now go design
something.

193. C O N TA C T
Darren Kuropatwa
twitter: @dkuropatwa
about.me/dkuropatwa
<end>
2.0
C-SA
C BY-N
ei ra / C
o Silv
r nand
t / Fe
Sunse
hing the
Watc
Watching the Sunset / Fernando Silveira / CC BY-NC-SA 2.0