charting the learning tracks

Charting the learning tracksO. Caprotti and Y. Almalki

SOED 2016 Fairfax, April 2016

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quiz__550__Integration for practice - no extra credit

quiz__549__Quiz 1: Recalling Integration

quiz__603__Mathematics Diagnostic Test

quiz__551__Quiz 2: Substitutions

workshop__332__Workshop 1 (2 pgs)

quiz__553__Quiz 3: Improper Integrals I

workshop__332__TimothyBrownWorkshop1workshop__332__Workshop 1, Will McCall

workshop__332__Workshop 1

workshop__332__workshop 1workshop__332__Workshop 1: Integration By Substitution

workshop__332__Workshop 1: Integration by Substitution

workshop__333__Workshop 2 by Amanda Taft

quiz__554__Quiz 4: Improper Integrals II


workshop__333__Workshop#2 Kevin Matheusworkshop__334__Workshop 3

quiz__555__Quiz 5: Integration Practiceworkshop__334__workshop 3

workshop__334__Workshop 3-Christina Dadich

workshop__335__Workshop 4 Amanda Taft

workshop__335__workshop 4


workshop__335__Workshop 4 GHS

workshop__335__TimothyBrownhwk4 quiz__552__Substitutions II for practice - no extra credit

quiz__625__Quick Quiz Areas

quiz__629__Quick Quiz Volumes

workshop__336__Workshop 5 Amanda Taftworkshop__336__Workshop5


workshop__336__Workshop Five--Christina Dadich





workshop__337__Workshop 6: Sequences I


quiz__671__Quiz 7: Geometric sequences and series

workshop__338__27 like a champworkshop__338__Workshop 7workshop__338__workshop 7

workshop__338__Worksop 7



workshop__339__Workshop 8workshop__339__WS8 (Rylan Caskey)

workshop__339__Caroline Walker Workshop 8workshop__340__Workshop 9 Amanda Taft

workshop__340__WS9 (Rylan Caskey)workshop__340__Workshop 9

workshop__340__Woooooorkkkkkshooopp


workshop__342__AmandaTaft Workshop11

workshop__343__AmandaTaftWorkshop12

workshop__343__Workshop12

workshop__343__workshop12workshop__343__WORKSHOP 12workshop__343__Workshop 12workshop__343__Workshop #12


workshop__344__Workshop 13 by Andrew Colangelo

workshop__344__ws13

workshop__344__Ws13

workshop__332__Workshop #1 Emily Hebert

workshop__332__Workshop 1 - Luis Vega

workshop__332__Christopher Hartman Workshop #1


workshop__332__1-4 Workshop 1


workshop__333__Workshop #2

workshop__333__workshop #2workshop__333__Integration Workshop 2


workshop__334__Workshop 3 Emily Hebertworkshop__334__kameron Martinez

workshop__334__Workshop 3: Rylan Caskeyworkshop__334__kevin schaeffer




quiz__626__Integration Practice - no extra credit

quiz__557__Quiz 6: Sequences and Limits of Sequences


workshop__337__Work Shop 6

workshop__337__Workshop 6 problems 1-5


workshop__338__Workshop 7: Sequences 2

workshop__338__Michael Mann

workshop__338__ws 7

workshop__340__Workshop #9workshop__340__Workshop 9: Integral Test

workshop__340__Workshop Nine-Christina Dadich

workshop__341__Workshop 10workshop__341__workshop 10

workshop__341__Workshop 10: Comparison Test





workshop__344__TimBrown Final hwk

workshop__344__Caroline Walker Workshop 13

workshop__344__Workshop Thirteen--Christina Dadich

workshop__344__FINAL WS

workshop__332__John Pacheco - Workshop 1workshop__332__Kameron Martinez WS #1

workshop__333__Workshop 2 problems

workshop__333__Dem answers

workshop__334__WS4

workshop__335__WorkShop 4

workshop__335__Workshop 4 Alex Hollen

workshop__335__Workshop III

workshop__338__Workshop7KathrynFreesmeier

workshop__338__Workshop

workshop__338__workshop7

workshop__338__glhf


workshop__340__Workshop 9 Kathryn

workshop__340__Blah Blah

workshop__340__Workshop 8 Kenneth Carril

workshop__340__Ricardo Castilla_WS9

workshop__341__Workshop 10 Kathrynworkshop__341__10

workshop__332__Workshop 1 - Tyler Harrisworkshop__332__Palmer_Workshop1


workshop__334__Workshop 3 - Tyler Harris

workshop__334__workshop 3 Ben Rooks

workshop__334__Submission




workshop__336__easiest workshop yet

workshop__337__Workshop 6 - Tyler Harrisworkshop__337__WS6

workshop__337__Evans workshop 6workshop__337__Workshop Six--Christina Dadich



workshop__340__Mauriello WS 9

workshop__340__TimothyBrown.WKSP9

workshop__340__Workshop 9 #1-4

workshop__341__Workshop 10 - Tyler Harrisworkshop__341__Tim Brown wrk10

workshop__341__ws 10

workshop__341__Heyo

workshop__341__ws10


workshop__342__Workshopworkshop__342__workshop


workshop__342__workshopssssss

workshop__342__11


workshop__343__Ws


workshop__332__Work Shop 1workshop__332__Workshop 1 written problems

workshop__332__Worshop 1

workshop__332__Casey Rowe Workshop 1

workshop__333__2

workshop__333__Brandon Mauriello Workshop 2

workshop__333__Workshop 2: Integration Techniques I

workshop__334__Workshop 3: Armageddon

workshop__335__workshop 4 sillickworkshop__335__Workshop4

workshop__336__Work shop 5

workshop__336__Work Shop 5workshop__336__wksp5

workshop__336__Sarduy Workshop 5



workshop__338__ws7

workshop__338__WS7


workshop__339__Factsworkshop__339__8

workshop__340__9workshop__340__John Pacheco's Workshop 9workshop__340__Worskshop 9



workshop__341__WS 10

workshop__341__Ws 10

workshop__343__Egads

workshop__344__Final Workshop

workshop__344__The Last One


workshop__332__Workshop 1 Problems

workshop__332__Solutions

workshop__332__Workshop One

workshop__333__Connor Grace WS2

workshop__334__Workshop tres



workshop__336__workshop #5workshop__336__COWA

workshop__338__Hunter Hayden WS 7workshop__338__Return of the Calculus: Last Light


workshop__340__work shop problems


workshop__341__Workshop 10 Antoine Mercidieu


workshop__342__Worksop 11

workshop__342__workshop 11 GHS

workshop__342__W11



workshop__343__Workshop 12 - Tyler O'Ferrell

workshop__344__Last workshop

workshop__344__last workshop

workshop__344__error


workshop__332__Hunter Hayden Workshop 1 Solutions

workshop__332__Late(sorry)

workshop__333__Workshop 2: Hunter Hayden

workshop__333__IrmaLeandre_Workshop2

workshop__334__Workshop3_KevinMatheus

workshop__334__ws 3

workshop__335__Exaltations Valiant Grader

workshop__336__5


workshop__337__WorkShop 6workshop__337__W6


workshop__339__Workshop8workshop__339__Workshop 8 - Tyler O'Ferrell

workshop__340__kevin schaeffer




workshop__344__13workshop__344__Workshop 13 Taylor Series

workshop__332__Workshop 1 (I. Leandre)workshop__332__Evans, Kyle Workshop 1

workshop__332__Ricardo_Castilla-Workshop1


workshop__335__Mauriello Workshop 4

workshop__335__ws4

workshop__335__Luis Vega Workshop 4

workshop__338__Philip Wiezorek

workshop__338__Workshop 7: Tyler O'Ferrell

workshop__339__Ricardo Castilla_Workshop8

workshop__340__w9


workshop__343__Mauriello Workshop 12workshop__343__Workshop Twelve--Christina Dadich

workshop__344__Wkshp13

workshop__332__Workshop 1: Integration by Substitution Melissa Palomaworkshop__332__Workshop1- Integration - Brittaney Pratt

workshop__333__MICHAEL MANNworkshop__333__workshop 2


workshop__336__Workshop 5: Applications of Integration

workshop__337__Workshop Six

workshop__337__Ricardo Castilla Workshop 6

workshop__339__Michael Mann workshop__340__Praise ease

workshop__341__WS10

workshop__341__Workshop 10: The Comparison Test

workshop__342__WKSP 11

workshop__342__Workshop Eleven--Christina Dadich

workshop__344__WS13


workshop__332__Caroline Walker_Section 5_Workshop 1

workshop__332__Workshop 1 calculations

workshop__333__Caroline Walker_Workshop 2

workshop__333__WS #2


workshop__334__#4


workshop__335__Workshop 4: Improper Integrals

workshop__336__ws5workshop__336__Workshop Fiveworkshop__336__Workshop 5 Applications of Integration


workshop__338__WS7 (Rylan Caskey)


workshop__338__num 4

workshop__339__Connor Grace WS8workshop__340__Caroline Walker Workshop 9

workshop__340__Workshop Nein Nein Nein

workshop__340__ws9workshop__341__Caroline Walker Workshop 10

workshop__341__Ricardo Castilla_WS10


workshop__342__Ws11

workshop__342__wk


workshop__343__It's the most workshopful time of the yearworkshop__343__Workshop 12: Power Series

workshop__344__Workshop 13: Taylor Series

workshop__332__Sebastian A. Bellini Workshop 1

workshop__333__Kameron Martinez ws 2

workshop__334__Connor Grace WS 3

workshop__335__Ricardo_Castilla_Workshop4

workshop__336__The solutionsss


workshop__339__WS 8 Alex Hollen


workshop__340__The answers

workshop__341__Workshop Ten--Christina Dadich

workshop__342__11.11.11

workshop__343__Ws12

workshop__343__ws12

workshop__343__WS12



workshop__332__Workshop #1 - Tyler O'Ferrell

workshop__333__Tyler O'Ferrell - Workshop 2

workshop__334__Workshop #3 - Tyler O'Ferrellworkshop__334__1,3,4

workshop__334__Mauriello workshop 3


workshop__335__WS4

workshop__336__Workshop 5 - Tyler O'Ferrellworkshop__336__kevin schaeffer


workshop__337__Workshop 6: Sequences 1

workshop__337__Workshop Sex

workshop__338__Ricardo Castilla_Workshop 7

workshop__338__WS7 Alex Hollen

workshop__338__Workshop 7: Kimmey Palmer


workshop__340__ws 9


workshop__341__Zein workshop__342__Workshop 11 - Tyler O'Ferrell

workshop__343__workshop





workshop__333__submission

workshop__334__Workshop 3 - Sophia Sobritoworkshop__334__TimothyBrown.workshop3

workshop__335__Workshop 4 Submission

workshop__335__Workshop Four- Christina Dadich

workshop__335__ws 4

workshop__337__Brandon Mauriello Workshop 2


workshop__339__Mauriello workshop 8workshop__339__John Pacheco Workshop 8


workshop__340__WS 9


workshop__342__Ricardo Castilla

workshop__344__Mauriello Workshop 13workshop__344__ws 13



workshop__332__Sarduy_P_WS1

workshop__333__Workshop 2 - Luis Vega

workshop__334__3

workshop__335__Workshop IV


workshop__336__Boop




workshop__343__wrkshup 12

workshop__344__ws

workshop__332__William Smith


workshop__333__Workshop'n

workshop__341__w56


workshop__342__Hunter Hayden WS 11

workshop__343__wk

workshop__332__Philip Wiezorek Workshop 1

workshop__332__Workshop 1 - Lindsay Hoop



workshop__334__WORKSHOP 3

workshop__335__#4


workshop__338__7workshop__338__Joel Marti Workshop 7

workshop__338__Funtiemworkshop__338__kevin schaeffer


workshop__339__Workshop Infinity

workshop__340__Workshop Nine

workshop__341__Workshopworkshop__341__John Pacheco's Workshop 10

workshop__341__1-4

workshop__333__Workshop2-Ricardo Castilla

workshop__334__Workshop 3: Integration Techniques II



workshop__336__AHollen WS 5

workshop__337__5


workshop__332__JSA WS1 Hell

workshop__332__Rafael Mendoza

workshop__333__Workshop 2 Sillick

workshop__333__Zachary Moore Workshop 2

workshop__336__Workshop V


workshop__342__Kameron Martinez


workshop__334__WS3 #swag

workshop__335__hi

workshop__336__Rylan Caskey: WS5

workshop__339__Workshop 8: Introduction to Seriesworkshop__339__Work Shop 8

workshop__342__Workshop 11: Ratio and Root Test

workshop__342__Workshop 11 Ratio and Root

workshop__333__Workshop 2 Integration Techniques

workshop__334__Workshop #3 Integration Techniques II

workshop__337__Workshop 6 Sequences

workshop__337__Worlshop 6

workshop__338__Workshop Seven


workshop__340__Workshop 9 Integral Test

workshop__341__Workshop 10 Comparison Thereom

workshop__343__Workshop 12 Power Series

workshop__343__Bobbakanooshworkshop__343__John Pacheco's Workshop 12

workshop__332__Workshop 1 Zachary Moore

workshop__333__Workshop 2, Sophia Sobritoworkshop__333__kevin schaeffer



workshop__338__Workshop Seven--Christina Dadich



workshop__342__Workshop 11 Antoine Mercidieuworkshop__343__Workshop

workshop__344__Workshop Thirteen

workshop__332__Grant Garavaglia Workshop 1

workshop__332__#1

workshop__338__Michael Scheer answers


workshop__343__workshop #12

workshop__344__Workshop 13 Last One!

workshop__344__The unluckiest workshop

workshop__333__-----------Cow

workshop__333__Evans Workshop 2

workshop__333__workshoppin

workshop__333__Ventrella Workshop 2

workshop__335__Hello Clarice Workshop 1workshop__335__Workshop 4 - Kimmey Palmer

workshop__337__Malik Ivey

workshop__338__Hashtag Twerk Team

workshop__338__Workshop 7!

workshop__338__Workshop 7 John Pacheco

workshop__342__Wu Tang Clan ain't nothin to bump with

workshop__344__Ya momma

workshop__332__Ben Rooks Workshop1

workshop__332__Workshop 1 - Sophia Sobrito


workshop__334__Workshop3_Ricardo Castilla


workshop__340__meow?

workshop__342__wksp 11


workshop__332__Kenneth Carril Workshop 1



workshop__336__Hunter Hayden WS5 Submission

workshop__336__Kameron Martinez wkshp 5

workshop__339__Workshop 8 - Jorgensen

workshop__341__wrkshp 10

workshop__332__Workshop 1 Problems 1-4

workshop__334__Workshop 3. Problems 1-4

workshop__336__Workshop5 by Andrew Colangelo

workshop__338__sorry about the mess

workshop__332__Workshop 1 Solutions

workshop__336__worshop 5workshop__336__Workshop 5 Sillick

workshop__339__Workshop Eight: Christina Dadich

workshop__339__stefan ollestad


workshop__332__Submission 1


workshop__335__Rylan Caskey Workshop 4

workshop__337__WS 6workshop__337__ws 6

workshop__338__W7



workshop__332__WS1

workshop__333__Workshop 2 Submission

workshop__335__Workshop 4 submission

workshop__335__Workshop Four

workshop__339__WS 8

workshop__337__ws6



workshop__332__Workshop 1--Integration by Substitution. Christina Dadich

workshop__334__shopIII

workshop__336__Workshop 5 (Justin Morales)

workshop__333__Workshop 2 problems 1,2,3,5

workshop__334__Workshop 3 Answers

workshop__336__Workshop 5 Kenneth Carril



workshop__340__Hunter Hayden WS9


workshop__332__Workshop 1 Shawn Stone



workshop__343__work shippy shop 12workshop__343__WS 12

workshop__333__John Pacheco's Workshop 2

workshop__334__Workshop Three


workshop__342__Workshop 11 Ratio and Root Tests

workshop__343__workshop 12 by Andrew Colangelo

workshop__334__workshop 3: Integration techniques II


workshop__337__dwawd

workshop__337__WS 6 Hunter Hayden

workshop__332__Ventrella Workshop 1


workshop__344__Workshop Last

workshop__333__Kenneth Carril Workshop 2


workshop__332__Alex Hollen Workshop 1workshop__332__Workshop 1 submit



workshop__342__Workshop 11: Ratio and Root Tests

workshop__332__workshop 1 Lindsey Robertsworkshop__332__Workshop 1 (p1-p4)

workshop__334__WorkShop3Solutions

workshop__335__kameron Martinez

workshop__339__Kenneth Carril Workshop 8workshop__339__w8

workshop__343__12

workshop__332__Workshop 1 GAlvarez

workshop__332__Workshop 1: Rylan Caskey

workshop__334__WS3

workshop__335__WORKSHOP 4

workshop__337__6

workshop__342__workshop 10+1

workshop__344__last workshop!!!!!!!!!!!!

workshop__333__WS II

workshop__334__ws3workshop__335__MISSION SUCCESS



workshop__341__ws

workshop__343__ws

workshop__338__WorkShop 7

workshop__344__John Pacheco's Workshop 13

workshop__333__Workshop Two

workshop__334__Zachary Moore Workshop 3

workshop__339__TimothyBrownhwk8

workshop__339__All solutions

workshop__339__Worshop 8

workshop__342__workshop #11




workshop__334__Tyndall WS 3

workshop__334__Hunter Hayden: Workshop 3


workshop__344__RicardoCastilla_WS13

workshop__334__Workshop III

workshop__336__John Pacheco's Workshop 5workshop__336__Adios

workshop__341__w10

workshop__333__lindsey roberts ws 2

workshop__333__Viktor Dominguez

workshop__344__12



workshop__338__Tim_Brown_HWK7

workshop__341__Workshop 10 "Comparison Test"



workshop__343__12 workshopers workshopping


workshop__337__hwk6

workshop__341__HereDeyAree

workshop__335__Hunter Hayden W4 Submission

workshop__341__Hunter Hayden WS10

workshop__343__theJourney


workshop__341__10workshop

Riemann graphs

2

Course 230 chain

Based on how students complete graded activities, we can compute the course Markov Chain which shows clearly how most student follow the course sequentially.

3

green track: sequential, nothing missed

blue track: skipped one

red track: skipped two (more than two in yellow)

Student participation map

START 2..08

2..14 2..15

3..19 4..23

6..34 7..38

8..40 9..43

12..57 13..60

123

16 4

1

1

2

2

2

2

11..5210..48

2876

0

35

70

105

140

2..08 2..14 2..15 3..19 4..23 6..34 7..38 8..40 9..43 10..48 11..52 12..57 13..60 END

16

2612111

463

12332

69

172

99121511911

6477

6677

90818478829095105123

as soon as skipping is feasible, skipping appears

WS8 in detail

5

A 3D surface model can already be constructed

Resources clicked

6

roughly a 3 color scheme: blues for lookback green for in-session yellows for lookahead

Sequences states

00_pa32900_re4799 02_pa333 02_pa335 02_wo9314 03_wo931904_qu9841 05_qu9324 07_re4802 09_re4803 10_wo9348 11_ur1302 11_wo9352 12_wo9357 13_wo9360 14_re4812

00_re4798 00_re4799 02_pa333 02_pa335 02_wo9314 02_wo9315 03_qu9318 09_re4803 10_re4805 11_wo9352 12_wo9357 13_wo9360 14_re5047

00_re4798 02_wo9315 03_qu9318 04_qu9841 05_qu9324 05_re5049 14_re5047

Students on different tracks to WS8 never consulted:

Sequences to WS8

8

What can we say about lookbacks?

Gabadinho, A., Ritschard, G., Müller, N.S. & Studer, M. (2011), Analyzing and visualizing state sequences in R with TraMineR, Journal of Statistical Software. Vol. 40(4), pp. 1-37.

Diligent students

Looking locally does not really tell us how diligent a student is over the whole course.

We only know that the red track will detract at least 2 points and the blue track will detract 1.

9

Tracks of diligence per target

10

0

35

70

105

140

2..08 2..14 2..15 3..19 4..23 6..34 7..38 8..40 9..43 10..48 11..52 12..57 13..60 END

32

32

3232

32

32

32

3232

32

323232

32

21

17

2020

16

20

20

1920

18

202021

2120

10

171514

20

18

161915

191918

2016

1112119

14

12

12

121112

1414

16 5

2424

4

4

43355

5

8

54255

3

84

5555

8

8

132452545657

7

4

22121212421

4

1

1111

1

1

1111

2

1212

2

112

4

4

16

1 2 3 4 56 7 8 9 1011 12 13 14

Diligence and gapsThe means of the loopback degrees for each student, in each target activity are generally lower for diligent students:

they show less gaps in their retention.

11

More generally, study which activities require the most recall

Chronograms for paths to W8

13

The percentage of students in a certain state at a certain time

Students are starting to look ahead

Chronograms by freq on WS7-WS8

14

Chronograms by freq on WS4,WS6-WS7

15

Vision

Charting the tracks of the students, traced according to some property, on a Riemann surface so that we can help them navigate in their learning flow.

16

Digital student health check

17

order position

2 4 6 8 10 12 14 16 18 20

forum

page

quiz

resource

url

workshop

●

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Student 2034

order position

2 4 6 8 10 12 14 16 18 20

forum

page

quiz

resource

url

workshop

●

●

● ●

●

●

●

●

●

●

●

● ●

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Student 2036

order position

6 7 8 9 11 13 15 17 19 21

forum

page

quiz

resource

url

workshop

●

●

●

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●

●

● ● ●

●

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Student 2037

order position

9 10 11 12 13 14 15 16 17 18

forum

page

quiz

resource

url

workshop

● ● ●

● ●

● ●

Student 2039

order position

5 6 7 8 9 11 13 15 17 19 21

forum

page

quiz

resource

url

workshop

●

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Student 2040

order position

6 7 8 9 11 13 15 17 19 21

forum

page

quiz

resource

url

workshop

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Student 2041

charting the learning tracks

Education