150
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Turbocharging Our MOOCs with Mooculus (177081476)

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Turbocharging Our MOOCs with

MOOCulusmassive open online calculus

Tom EvansJim Fowler

mooculus.osu.edu #mooculus

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mooculus.osu.edu #mooculus

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Hybrid IT/Academic Unit

mooculus.osu.edu #mooculus

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Hybrid IT/Academic Unit

Centralized Approach to MOOCs

mooculus.osu.edu #mooculus

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mooculus.osu.edu #mooculus

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Obstacles andLimitations

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mooculus.osu.edu #mooculus

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      h      t      t

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mooculus.osu.edu #mooculus

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DiscoveringOpportunities

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mooculus.osu.edu #mooculus

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http://youtu.be/KB_w1qWoT3I

mooculus.osu.edu #mooculus

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mooculus.osu.edu #mooculus

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!"#$% &'

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87kenrollments

mooculus.osu.edu #mooculus

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21kenrollments

mooculus.osu.edu #mooculus

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mooculus.osu.edu #mooculus

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mooculus.osu.edu #mooculus

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37k subscribed on iTunes U

mooculus.osu.edu #mooculus

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87k in Calculus One

21k in Calculus Two+ 37k on iTunes U

mooculus.osu.edu #mooculus

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87k in Calculus One

21k in Calculus Two+ 37k on iTunes U

145k

mooculus.osu.edu #mooculus

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Why?mooculus.osu.edu #mooculus

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Whyam I inflicting this upon them?!

mooculus.osu.edu #mooculus

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so that they canlearn moremathematics

mooculus.osu.edu #mooculus

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How?mooculus.osu.edu #mooculus

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Howdoes a MOOC help?

mooculus.osu.edu #mooculus

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presence

platformpartnerships

mooculus.osu.edu #mooculus

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presence

platformpartnerships

mooculus.osu.edu #mooculus

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soylent green

is people!mooculus.osu.edu #mooculus

hi

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teaching

soylent green

is people!mooculus.osu.edu #mooculus

hi

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teachinga MOOCsoylent green

is people!mooculus.osu.edu #mooculus

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technology

mooculus.osu.edu #mooculus

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peoplepeople

mooculus.osu.edu #mooculus

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not just content

mooculus.osu.edu #mooculus

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not just content,

community

mooculus.osu.edu #mooculus

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presence

platformpartnerships

mooculus.osu.edu #mooculus

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presenceforum

platformpartnerships

mooculus.osu.edu #mooculus

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mooculus.osu.edu #mooculus

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I write∼

100 posts/week

mooculus.osu.edu #mooculus

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I write∼

100 posts/week∼ 1400 posts in Calculus One

mooculus.osu.edu #mooculus

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I write∼

100 posts/week∼ 1400 posts in Calculus One

539 posts in first month of Calculus Two

mooculus.osu.edu #mooculus

presence

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presenceforum

platformpartnerships

mooculus.osu.edu #mooculus

presence

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presenceforum videos 

platformpartnerships

mooculus.osu.edu #mooculus

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mooculus.osu.edu #mooculus

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Why are the videos

titled with questions?

mooculus.osu.edu #mooculus

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mooculus.osu.edu #mooculus

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automatic video editingwith the autocutter

mooculus.osu.edu #mooculus

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automatic video editingwith the autocutter

https://github.com/kisonecat/autocut

mooculus.osu.edu #mooculus

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mooculus.osu.edu #mooculus

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computer generated

graphicsmooculus.osu.edu #mooculus

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mooculus.osu.edu #mooculus

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composited

3-D objects

mooculus.osu.edu #mooculus

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mooculus.osu.edu #mooculus

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interactions

with graphics

mooculus.osu.edu #mooculus

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mooculus.osu.edu #mooculus

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tactile arguments

with paper

mooculus.osu.edu #mooculus

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mooculus.osu.edu #mooculus

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the viewer canplay along at home

mooculus.osu.edu #mooculus

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mooculus.osu.edu #mooculus

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math is done by

humans

mooculus.osu.edu #mooculus

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calculusseemsinhuman

mooculus.osu.edu #mooculus

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the teaching of 

calculusseemsinhumane

mooculus.osu.edu #mooculus

presence

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presenceforum videos 

platformpartnerships

mooculus.osu.edu #mooculus

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what is the point of 

calculus?

mooculus.osu.edu #mooculus

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what is the point of 

calculus?poetry?mooculus.osu.edu #mooculus

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people usually think that

calculus is thepaintbrushmooculus.osu.edu #mooculus

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people usuallyshould think that

calculus is thepaintbrushingmooculus.osu.edu #mooculus

presence

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presenceforum videos 

platformpartnerships

mooculus.osu.edu #mooculus

presence

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presenceforum videos 

platformpartnerships

mooculus.osu.edu #mooculus

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mooculus.osu.edu #mooculus

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MassiveChalkboard

mooculus.osu.edu #mooculus

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Learn by doing,not by watching.

mooculus osu edu #mooculus

presence

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presenceforum videos 

platform

partnershipsmooculus osu edu #mooculus

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mooculus osu edu #mooculus

What is

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What isMOOCulus

massive open online calculus?

mooculus osu edu #mooculus

What is

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What isMOOCulus

massive open online calculus?

Online homework,

mooculus osu edu #mooculus

What is

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What isMOOCulus

massive open online calculus?

Online homework, witha hidden Markov model.mooculus osu edu #mooculus

presencef id

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presenceforum videos 

platform

partnershipsmooculus osu edu #mooculus

presencef id

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presenceforum videos 

platformrandom

partnershipsmooculus osu edu #mooculus

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mooculus osu edu #mooculus

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mooculus osu edu #mooculus

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We’ve built a

computer algebrasystem

in JavaScript.

mooculus osu edu #mooculus

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mooculus osu edu #mooculus

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JavaScript means it

scales upmooculus osu edu #mooculus

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mooculus osu edu #mooculus

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randomproblemsmeans the student

never runs out

mooculus osu edu #mooculus

presenceforum videos

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presenceforum videos 

platformrandom

partnershipsmooculus osu edu #mooculus

presenceforum videos

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presenceforum videos 

platformrandom hints 

partnershipsmooculus osu edu #mooculus

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mooculus osu edu #mooculus

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mooculus osu edu #mooculus

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mooculus osu edu #mooculus

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mooculus osu edu #mooculus

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mooculus osu edu #mooculus

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mooculus osu edu #mooculus

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ooc l s os ed # ooc l s

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Strength: get unstuckWeakness: rely on hints

l d # l

presenceforum videos 

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pplatform

random hints 

partnershipsl d # l

presenceforum videos 

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pplatform

random hints  adaptive 

partnershipsl d # l

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l d # l

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l d # l

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Student understandingis invisible.

l d # l

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Student understandingis invisible.

Hints and answers

are visible.l d # l

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     t      i    m    e

correct

incorrect

hint 1

hint 2correct

correct

HiddenMarkov

Model

72% confidenceof student

understanding

l d # l

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l d # l

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Student works

for mastery

l d # l

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Paper quizzes are all

the same.

l d # l

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Massive,

not mass-produced.

l d # l

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l d # l

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Cheaper?

l d # l

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Cheaper? Better!

presenceforum videos 

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pplatform

random hints adaptive 

partnerships

presenceforum videos 

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pplatform

random hints adaptive 

partnershipsdata

What’s massive?

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mooculus.osu.edu #mooculus

What’s massive?

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Enrollment?

mooculus.osu.edu #mooculus

What’s massive?

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Enrollment? Data!

mooculus.osu.edu #mooculus

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10.3 person–years

2,079,428 correct answers

mooculus.osu.edu #mooculus

We now know priors.

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point plotting 91% correct

trig derivatives 57% correctrelated rates 35% correct

mooculus.osu.edu #mooculus

Correct answers on the first try

        1        5        0        0

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percentage

      s       t      u        d      e      n       t      s

0 20 40 60 80 100

        0

        5        0        0

        1        0        0        0

mooculus.osu.edu #mooculus

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8

   1 .   0

Kaplan Meier Survival Function for Exercise 3Max Tries for KM = 153, Students = 2,174

Pct Success: (A) 1st 4 = 12.2%, (B) Total = 80%

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0 50 100 150

   0 .   0

   0 .   2

   0 .   4

   0 .   6

   0 .

   8

Nth Try

   S   (  x   )   S

  u  r  v   i  v  a   l   F  u  n  c   t   i  o  n

mooculus.osu.edu #mooculus

8

   1 .   0

Kaplan Meier Survival Function for Exercise 4Max Tries for KM = 182, Students = 2,217

Pct Success: (A) 1st 4 = 4.87%, (B) Total = 52%

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0 50 100 150

   0 .   0

   0 .   2

   0 .   4

   0 .   6

   0 .

   8

Nth Try

   S   (  x   )   S

  u  r  v   i  v  a   l   F  u  n  c   t   i  o  n

mooculus.osu.edu #mooculus

Just-in-time tutoring

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mooculus.osu.edu #mooculus

Just-in-time tutoring

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On a certain problem,95% who answer correctlydo so in 140 seconds.

mooculus.osu.edu #mooculus

Just-in-time tutoring

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On a certain problem,95% who answer correctlydo so in 140 seconds.

Intervene then.mooculus.osu.edu #mooculus

presenceforum videos 

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platformrandom hints adaptive 

partnershipsdata

mooculus.osu.edu #mooculus

presenceforum videos 

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platformrandom hints adaptive 

partnershipsdata research

mooculus.osu.edu #mooculus

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publish your

research

mooculus.osu.edu #mooculus

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publish your

teaching

publish your

research

mooculus.osu.edu #mooculus

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publish your

teaching

publish your

research

“Fixed form” makes discussion possible

mooculus.osu.edu #mooculus

NSF TUES GrantInteractive

T b k

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TextbooksJoint between Fowler, Snapp, Clemens

mooculus.osu.edu #mooculus

NSF TUES GrantInteractive

T b k

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TextbooksJoint between Fowler, Snapp, Clemens

Open source platform for

interactive textbooks.mooculus.osu.edu #mooculus

presenceforum videos 

f

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platformrandom hints adaptive 

partnershipsdata research

mooculus.osu.edu #mooculus

presenceforum videos 

l f

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platformrandom hints adaptive 

partnershipsdata research git 

mooculus.osu.edu #mooculus

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mooculus.osu.edu #mooculus

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mooculus.osu.edu #mooculus

Versionll d

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controlledrepository

mooculus.osu.edu #mooculus

Versionll d

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controlledrepository

https://github.com/ASCTech/mooculus

mooculus.osu.edu #mooculus

Figure 2.1: Given a function f  (x ), if one can “zoom

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in” on f  (x ) sufficiently so that  f  (x ) seems to be a 

straight line, then that line is the tangent line to

 f  (x ) at the point determined by  x .

at two points. The slope of any secant line that passes through the points (x, f  (x ))

and (x + h, f  (x + h )) is given by 

∆y 

∆x =

 f  (x + h ) − f  (x )

(x + h ) − x =

 f  (x + h ) −  f  (x )

h ,

see Figure 2.2. This leads to the limit definition of the derivative :

Definition of the Derivative The derivative of  f  (x ) is the function

dx  f  (x ) = lim

h →0

 f  (x + h ) −  f  (x )

h .

If this limit does not exist for a given value of x , then f  (x ) is not diff erentiable

at  x .

x  x + h 

 f  (x )

 f  (x + h )

Figure 2.2: Tangent lines can be found as the limit 

of secant lines. The slope of the tangent line is givenmooculus.osu.edu #mooculus

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Anyone

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History of changes

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Studentsmake edits

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xMOOC

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merges withcMOOC

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merges withcMOOC

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xMOOC

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merges withcMOOC

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platformrandom hints adaptive 

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presenceforum videos 

l tf

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Thank YouTom Evans: @taevansJim Fowler: @kisonecat http://kisonecat.com/

except where otherwise noted on photographs,

licensed for reuse under a Creative Commons BY-NC-SA License

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