A Fractal Valued Random Iteration Algorithm and Fractal Hierarchy
A Fractal-based Decision Engine for Teaching & Learning
description
Transcript of A Fractal-based Decision Engine for Teaching & Learning
![Page 1: A Fractal-based Decision Engine for Teaching & Learning](https://reader034.fdocuments.in/reader034/viewer/2022042718/56815fdc550346895dcee1f0/html5/thumbnails/1.jpg)
A Fractal-based Decision Engine for Teaching & Learning
David Kokorowski, PhDVP Product Management
Pearson
EDI2014
![Page 2: A Fractal-based Decision Engine for Teaching & Learning](https://reader034.fdocuments.in/reader034/viewer/2022042718/56815fdc550346895dcee1f0/html5/thumbnails/2.jpg)
![Page 3: A Fractal-based Decision Engine for Teaching & Learning](https://reader034.fdocuments.in/reader034/viewer/2022042718/56815fdc550346895dcee1f0/html5/thumbnails/3.jpg)
![Page 4: A Fractal-based Decision Engine for Teaching & Learning](https://reader034.fdocuments.in/reader034/viewer/2022042718/56815fdc550346895dcee1f0/html5/thumbnails/4.jpg)
![Page 5: A Fractal-based Decision Engine for Teaching & Learning](https://reader034.fdocuments.in/reader034/viewer/2022042718/56815fdc550346895dcee1f0/html5/thumbnails/5.jpg)
The Two Sigma Problem
![Page 6: A Fractal-based Decision Engine for Teaching & Learning](https://reader034.fdocuments.in/reader034/viewer/2022042718/56815fdc550346895dcee1f0/html5/thumbnails/6.jpg)
Answer-Specific Feedback
![Page 7: A Fractal-based Decision Engine for Teaching & Learning](https://reader034.fdocuments.in/reader034/viewer/2022042718/56815fdc550346895dcee1f0/html5/thumbnails/7.jpg)
Socratic Hints
![Page 8: A Fractal-based Decision Engine for Teaching & Learning](https://reader034.fdocuments.in/reader034/viewer/2022042718/56815fdc550346895dcee1f0/html5/thumbnails/8.jpg)
Auto-scored Answertypes
![Page 9: A Fractal-based Decision Engine for Teaching & Learning](https://reader034.fdocuments.in/reader034/viewer/2022042718/56815fdc550346895dcee1f0/html5/thumbnails/9.jpg)
Diagnostic Analytics
![Page 10: A Fractal-based Decision Engine for Teaching & Learning](https://reader034.fdocuments.in/reader034/viewer/2022042718/56815fdc550346895dcee1f0/html5/thumbnails/10.jpg)
Net Score = # steps to the right – # steps to the left
✗ - Incorrect answer is a step to the left
✓ - Correct answer is a step to the right
A Simple Model of Student Behavior
![Page 11: A Fractal-based Decision Engine for Teaching & Learning](https://reader034.fdocuments.in/reader034/viewer/2022042718/56815fdc550346895dcee1f0/html5/thumbnails/11.jpg)
A student not showingrandom walk behavior
A student showingrandom walk behavior
simulated
Fractal Dimension = 1.94 Fractal Dimension = 1.60
Distinguishing Response Patterns
![Page 12: A Fractal-based Decision Engine for Teaching & Learning](https://reader034.fdocuments.in/reader034/viewer/2022042718/56815fdc550346895dcee1f0/html5/thumbnails/12.jpg)
Distinguishing Response Patterns
Fractal Dimension1 2
Less irregularity in the response patterni.e., Persistent behavior
(an increase in net score at one instance is more likely to be followed by an
increase at a future instance)
High irregularity in the response pattern
i.e., Anti-Persistent behavior (an increase in net score at one
instance is more likely to be followed by a decrease at a future instance)
Straight line Plane
![Page 13: A Fractal-based Decision Engine for Teaching & Learning](https://reader034.fdocuments.in/reader034/viewer/2022042718/56815fdc550346895dcee1f0/html5/thumbnails/13.jpg)
A student with fractal dimension 1.32Random Walk
![Page 14: A Fractal-based Decision Engine for Teaching & Learning](https://reader034.fdocuments.in/reader034/viewer/2022042718/56815fdc550346895dcee1f0/html5/thumbnails/14.jpg)
A student with fractal dimension 1.81Random Walk
![Page 15: A Fractal-based Decision Engine for Teaching & Learning](https://reader034.fdocuments.in/reader034/viewer/2022042718/56815fdc550346895dcee1f0/html5/thumbnails/15.jpg)
A student with fractal dimension 1.60Random Walk
![Page 16: A Fractal-based Decision Engine for Teaching & Learning](https://reader034.fdocuments.in/reader034/viewer/2022042718/56815fdc550346895dcee1f0/html5/thumbnails/16.jpg)
Both students have the same net score
A Tale of Two Students
![Page 17: A Fractal-based Decision Engine for Teaching & Learning](https://reader034.fdocuments.in/reader034/viewer/2022042718/56815fdc550346895dcee1f0/html5/thumbnails/17.jpg)
Short runs of smoothness followed by short runs of irregularity.
Responses Submitted
start of course mid-course
onset
Long runs of smoothness followed by long runs of irregularity, then a tipping point (onset).
Responses Submitted
alert
start of course mid-course
The Struggling Student can be Identified
![Page 18: A Fractal-based Decision Engine for Teaching & Learning](https://reader034.fdocuments.in/reader034/viewer/2022042718/56815fdc550346895dcee1f0/html5/thumbnails/18.jpg)
Towards Predictive Analytics
![Page 19: A Fractal-based Decision Engine for Teaching & Learning](https://reader034.fdocuments.in/reader034/viewer/2022042718/56815fdc550346895dcee1f0/html5/thumbnails/19.jpg)
Low Alerts
Medium Alerts
High Alerts
88% A’s and B’s
77% B’s & C’s
73%C’s & D’s
<2% D+ or lower
<10% D+ or lower
~40% D+ or lower
Spring 2013 Pilot — 1300 students
![Page 20: A Fractal-based Decision Engine for Teaching & Learning](https://reader034.fdocuments.in/reader034/viewer/2022042718/56815fdc550346895dcee1f0/html5/thumbnails/20.jpg)
Despite high homework scores (86-95%), students that were identified as high alert, most often got a final course grade of C.
➔Algorithm identifies what was a previously invisible population of at-risk students.
Alerts identify previously invisibleat-risk students
![Page 21: A Fractal-based Decision Engine for Teaching & Learning](https://reader034.fdocuments.in/reader034/viewer/2022042718/56815fdc550346895dcee1f0/html5/thumbnails/21.jpg)
73% of instructors agreed alerts were accurate
Instructors intervened with students whose grades were average, but who had high alert levels — expanding office hours & reviews; adding Adaptive Follow-up assignments
Students reported being motivated by the EA notification to attend office hours and reviews
Fall 2013 Pilot - 1500 students, 8 schools
![Page 22: A Fractal-based Decision Engine for Teaching & Learning](https://reader034.fdocuments.in/reader034/viewer/2022042718/56815fdc550346895dcee1f0/html5/thumbnails/22.jpg)
A Fractal Based Decision Engine for Intervention
Patent Awarded: January 2014
Inventors:Dr. William GalenDr. Rasil Warnakulasooriya
![Page 23: A Fractal-based Decision Engine for Teaching & Learning](https://reader034.fdocuments.in/reader034/viewer/2022042718/56815fdc550346895dcee1f0/html5/thumbnails/23.jpg)
Towards a Two Sigma Solution
![Page 24: A Fractal-based Decision Engine for Teaching & Learning](https://reader034.fdocuments.in/reader034/viewer/2022042718/56815fdc550346895dcee1f0/html5/thumbnails/24.jpg)
![Page 25: A Fractal-based Decision Engine for Teaching & Learning](https://reader034.fdocuments.in/reader034/viewer/2022042718/56815fdc550346895dcee1f0/html5/thumbnails/25.jpg)
![Page 26: A Fractal-based Decision Engine for Teaching & Learning](https://reader034.fdocuments.in/reader034/viewer/2022042718/56815fdc550346895dcee1f0/html5/thumbnails/26.jpg)
![Page 27: A Fractal-based Decision Engine for Teaching & Learning](https://reader034.fdocuments.in/reader034/viewer/2022042718/56815fdc550346895dcee1f0/html5/thumbnails/27.jpg)
27
Next Steps[Or just skip to the next slide…]
![Page 28: A Fractal-based Decision Engine for Teaching & Learning](https://reader034.fdocuments.in/reader034/viewer/2022042718/56815fdc550346895dcee1f0/html5/thumbnails/28.jpg)
![Page 29: A Fractal-based Decision Engine for Teaching & Learning](https://reader034.fdocuments.in/reader034/viewer/2022042718/56815fdc550346895dcee1f0/html5/thumbnails/29.jpg)