learning at scale: using research to improve learning practices and technology for teaching math

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Learning at Scale Using Research To Improve Learning Practices and Technology for Teaching Math Maria H. Andersen, Ph.D. Chief Troublemaker, Edge of Learning Math Faculty, Westminster

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Page 1: Learning at Scale: Using Research To Improve Learning Practices and Technology for Teaching Math

Learning at ScaleUsing Research To Improve Learning Practices

and Technology for Teaching Math

Maria H. Andersen, Ph.D.Chief Troublemaker, Edge of Learning

Math Faculty, Westminster College

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What have we learned?

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10 Lessons from Learning at Scale

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Stand up if you know what a MOOC is.

Stay standing if you have ever signed up for a MOOC.

Stay standing if you have ever finished a MOOC.

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HarvardX and MITx: Four Years of Open Online CoursesAuthors: I. Chuang, A. HoPublished: 2016Study size: 4.4 million students across 290 MOOCs

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If a MOOC held 100 students …

(Chuang & Ho, 2016)

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(Chuang & Ho, 2016)

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How many times a year do you get a chance to start over?

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1. We need to improve findability.

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Learners are in the maze, and they can’t see

the big picture.

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Many of you have been in a maze like what our students experience.

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Wouldn’t it be nice to have a transporter to get right to where you want to go?

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Why don’t students seem to be able to find information that is clearly printed in the syllabus?

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The impact of findability on student motivation, self-efficacy, and perceptions of online course qualityAuthors: B. Simunich, D. Robins & V. KellyPublished: 2015Study size: n=81, students had to complete 7 tasks, navigating either a

well-constructed course (according to QM) or a “broken” course

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What else can we do to help learners navigate

this maze?

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Help students to build a physical map to anchor memories as they learn.

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7.00x Introduction to Biology: The Secret of Life MITx on EdX Course Report - 2013 SpringAuthors: D. Seaton, J. Reich, S. Nesterko, et al.Published: 2014Study size: 38k signups, 3K certified

(Seaton et al, 2014)

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6.00x Introduction to Computer Science and Programming MITx on edX – 2012 FallAuthors: S. Features, P. Grimson, J. GuttagPublished: 2014Study size: 84.5k signups, 5.7K certified

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14.73x The Challenges of Global Poverty MITx on edX – 2013 SpringAuthors: P. Black, P. WhitePublished: 2014Study size: 40k signups, 4.6K certified

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(Seaton et al, 2014)

Introduction to Biology

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(Features et al, 2014)

Introduction to Computer Science and Programming

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(Black & White, 2014)

The Challenges of Global Poverty

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Examining Engagement: Analysing Learner Subpopulations in MOOCsAuthors: R. Ferguson, D. ClowPublished: 2015Study size: 34k signups, 7k full participants, 4 MOOCs

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(Ferguson & Clow, 2015)

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HarvardX and MITx: Four Years of Open Online CoursesAuthors: I. Chuang, A. HoPublished: 2016Study size: 4.4 million students across 290 MOOCs

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Find Calculus.

(Chuang & Ho, 2016)

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2. Students need to be coerced into more frequent engagement.

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Are you ever surprised by things you can find on the

Internet?Stand up if you know who

the Borg are.Stay standing if you’ve ever done an internet search for a

cat in a Borg costume.

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3. Use an online math

learning system.

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Traditional Course

Online homework (quantity and difficulty adapts to mastery levels of student)

Online homework (all students do same problems)

< <

A hierarchy of online math learning based on principles from learning research

Online homework (adapts to mastery levels of student and learner profile or preferences)

<

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Supports each students’ pace

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Interaction around content

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Frequent accountability

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Immediate feedback

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Learning is not a spectator sport: doing is better than watching for learning from a MOOCAuthors: K. Koedinger, J. Kim, J. Jia, et alPublished: 2015Study size: 27k registrants, 1k completers, “Introduction to Psychology as a Science” delivered through Coursera and OLI platform

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Our digital lives are with us everywhere, our learning should be too.

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Stand up if you teach online or rely heavily on digital learning materials.

Stay standing if you think it’s easy to get students to

participate in these.

Stay standing if you use discussion boards with your students.

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4. Get students to participate in their learning

community.

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1-9-90 Rule

1% creators9% commenters/sharers90% lurkers

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Comments in MOOCs: who is doing the talking and does it help?Authors: B. Swinnerton, S. Hotchkiss & N.P. MorrisPublished: 2017Study size: 25k active learners, 8k commenters, 5k students who completed a pre-course survey (roughly half commenters and half non-commenters)

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Predicting Student Retention in Massive Open Online Courses using Hidden Markov ModelsAuthors: G. BalakrishnanPublished: 2013Study size: 30k enrolled students in “Software as a Service” MOOC

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(Balakrishnan, 2013)

Commenting in discussion boards

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(Balakrishnan, 2013)

Commenting in discussion boards

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(Balakrishnan, 2013)

Lurking in discussion boards

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Use announcements

to showcase great discussion posts.

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5. Use personas to strategize

about interventions.

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Using Data Mining to Differentiate Instruction in College AlgebraAuthors: R. ManspeakerPublished: 2011Study size: 524 students in College Algebra using digital homework,

over 2 semesters

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(Manspeaker, 2011)

Overachievers (OA)

Characteristics What do they struggle with?• see mathematics as useful • do not see how the class

specifically applies to their lives• high grades in math

• non-standard problems• problems not found on

homework or worked in class

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Underachievers (UA)

Characteristics What do they struggle with?• Intelligent and well-

prepared• Bored and frustrated with

the course• Do reasonably well on the

first exam

• Procedural and non-standard problems• Get low scores in most

aspects of the course• High risk for dropping out

(Manspeaker, 2011)

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“Employees” (E)

Characteristics What do they struggle with?• Feel the class is a menial job

for which they get “paid” with a passing grade• Dislike math• Learn through memorizing• Excel at procedural

problems

• Problems involving creative thinking or independent thought• Attendance (starts strong,

then drops)

(Manspeaker, 2011)

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(Manspeaker, 2011)

Rote Memorizers (RM)

Characteristics What do they struggle with?• Rely on memorizing to get

through math• Negative views of math

which will get worse over time• Poorest scores

• Emporium-style courses• Everything

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Sisyphean Strivers (SS)

Characteristics What do they struggle with?• Excellent Attendance• Do well on written

homework• Have high understanding of

math if interviewed• Do very poorly on exams

• Non-standard questions• Application problems• Exams• Online homework

(Manspeaker, 2011)

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Stand up if students drop your classes.

Stay standing if the digital systems you use make it easy to see which

students you should intervene with.

Stay standing if you have strategies in place to try to

intervene before disengagement.

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6. Anticipate and catch students as they fall off the path to success.

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Community Insights: Emerging Benchmarks & Student Success Trends from across the CivitasAuthors: Civitas LearningPublished: 2016Study size: 2 million learners, 55 colleges

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LMS activity in the first 14 days

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LMS activity in the first 14 days

Persistence: 92%

(or more)

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Persistence: 76%

LMS activity in the first 14 days

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Persistence: 47%

LMS activity in the first 14 days

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Using Bayesian Learning to Classify College Algebra Students by Understanding in Real-TimeAuthors: A. CousinoPublished: 2013Study size: 505 students over 2 semesters

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(Cousino, 2013)

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Examining Engagement: Analysing Learner Subpopulations in MOOCsAuthors: R. Ferguson, D. ClowPublished: 2015Study size: 34k signups, 7k full participants, 4 MOOCs

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(Ferguson & Clow, 2015)

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Samplers Visit, but only briefly (commented in some courses)Strong Starters Complete the first week, but then dropout

Returners Made it through 2 weeks, but then dropout

Midway Dropouts Dropped out around assessment 3 or 4

Nearly There’s Made it through ¾ of the course, then dropped

Late Completers Completed course, but submitted things late

Keen Completers Completed course, mostly on time (>80%)

(Ferguson & Clow, 2015)

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(Graph generated from data in Ferguson & Clow, 2015)

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Deconstructing Disengagement: Analyzing Learner Subpopulations in Massive Open Online CoursesAuthors: R. Kizilcec, C. Piech, E. SchneiderPublished: 2013Study size: 94k active learners in 3 computer science MOOCs

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7. Courses need a catch-up option.

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Why don’t we offer 1-2 week

”slipped schedule” courses?

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This might mean the

courses have to be offered on 12-week schedules.

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8. Tweak instructional videos.

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How Video Production Affects Student Engagement: An Empirical Study of MOOC VideosAuthors: P. Guo, J. Kim, R. RubinPublished: 2014Study size: 6.9 million video watching sessions across four

courses on the edX MOOC platform

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46% 33%

(Guo et al, 2014)

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(Guo et al, 2014)

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(Guo et al, 2014)

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Planned vs. Chopped

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9. Don’t aim for perfect. Let students get stuck a little more.

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Your click decides your fate : Inferring Information Processing and Attrition Behavior from MOOC Video Clickstream Interactions

Authors: T. Sinha, P. Jermann, N. Li et al.Published: 2014Study size: 66k enrolled, 36.5k interacted with videos, there were 48

video lectures (producing 10 Gb of JSON data) from “Functional Programming in Scala” run on Coursera

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10 GB of JSON video click dataPlay (Pl) Pause (Pa) SeekFw (Sf)SeekBw (Sb)

ScrollFw (SSf)ScrollBw (SSb)RatechangeFast (Rf)RatechangeSlow (Rs)

PlPaSbPl RfPaPlPa(rewatch) (fast watching)

SSbSbPaPl(clear concept)

(Sinha et al., 2014)

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(Sinha et al., 2014)

Information Processing Index (IPI)

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(Sinha et al., 2014)

If students’ rewatching behavior changes from low to high IPI, they are 33% less likely to drop out.

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Why do we lose students before graduation?

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Community Insights: Emerging Benchmarks & Student Success Trends from across the CivitasAuthors: Civitas LearningPublished: 2016Study size: 4 million learners (this part was conducted looking at 2

years of data), 55 colleges

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(Civitas, 2016)

Academic Performance is not the Primary Risk to Departure

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10. Make sure your courses are have opportunities for curiosity,

challenge, and creativity.

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Let’s see what you remember…

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1. Improve findability.

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2. Coerce students into more frequent engagement.

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3. Use an online math

system.

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4. Get students to participate in their learning community.

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5. Use personas to strategize

about interventions.

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6. Anticipate and catch

students as they fall off the path to success.

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7. Courses need a catch-up option.

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8. Tweak Instructional

Videos.

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9. Let students get stuck a little more.

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10. Make sure your courses are have opportunities for curiosity,

challenge, and creativity.

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Cool. You remember

everything. My work here is done.

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