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TeLLNet




                         Learning Analytics in a Teachers’
                                 Social Network


                                  Manh Cuong Pham, Yiwei Cao,
                               Zinayida Petrushyna, and Ralf Klamma
                                      RWTH Aachen University
                          Advanced Community Information Systems (ACIS)
                                  last_name@dbis.rwth-aachen.de
Lehrstuhl Informatik 5
(Information Systems)
   Prof. Dr. M. Jarke
 I5-PCPK-0412-1            This work is licensed under a Creative Commons Attribution-ShareAlike 3.0 Unported License.
TeLLNet                 Advanced Community Information
                                 Systems (ACIS)




                                             Responsive
                           Web Engineering                 Community




                                                                           Web Analytics
                                                Open
                                                           Visualization
                                             Community
                                                               and
                                             Information
                                                            Simulation
                                               Systems



                                             Community      Community
                                              Support        Analytics




Lehrstuhl Informatik 5
                                               Requirements
(Information Systems)
   Prof. Dr. M. Jarke
 I5-PCPK-0412-2
                                                Engineering
TeLLNet

                                               Agenda
                          Introduction to social capital
                          Social network analysis for social capital
                          Case study: social capital in eTwinning network
                          Conclusions and future work




Lehrstuhl Informatik 5
(Information Systems)
   Prof. Dr. M. Jarke
 I5-PCPK-0412-3
TeLLNet

                                                       Introduction
                            Human capital vs. social capital [Burt, 1992]
                              – Human capital: the personal ability to perform tasks (e.g. talent, education, etc.)
                              – Social capital: the social environment surrounding individuals
                            Social capital as a property of
                              – Individuals: positions in social network that are more efficient in performing tasks
                                (i.e. local structure)
                              – Groups: structure of members’ network that makes the group functions more
                                efficient (i.e. structure of a sub-network)
                            In our research, we study social capital in teachers’ network
                              – By SNA metrics and a development model
                              – The performance of teachers and projects: recognized by Quality Labels
                              – Network structure of projects and position of teachers: identified via networks
                                created by several communication mechanisms (e.g. message, project
Lehrstuhl Informatik 5
(Information Systems)
                                collaboration, blog)
   Prof. Dr. M. Jarke
 I5-PCPK-0412-4
TeLLNet                                     Social Capital:
                                       Structural Hole vs. Closure
                            Structural holes [Burt, 1992]
                              -   Nodes are positioned at the interface between
                                  groups (gatekeepers, e.g. node B)
                              -   Informational advantages: access to
                                  information from different parts of networks
                              -   Form novel ideas by combining information
                                  from different groups
                              -   Control the communication between groups
                            Closure
                              -   Nodes are embedded in tightly-knit groups (e.g. node A)
                              -   More trust and security within coherent communities
                            Social capital [Coleman, 1990]
                              -   Individuals and groups deriving benefits from social relationships
Lehrstuhl Informatik 5
(Information Systems)         -   Network structural property: either structural hole or closure
   Prof. Dr. M. Jarke
 I5-PCPK-0412-5
TeLLNet                              Identification of Individual
                                             Social Capital
                            Given the network G=(V,E), where V is the set of nodes and E is the
                             set of edges
                            Structural holes: nodes with high betweenness
                                                                   u
                                                                    (i, j )
                                                B(u )
                                                         u i   j   (i, j )
                             where:   u
                                          (i, j ): number of shortest paths between nodes i and j that pass through
                             node u
                                      (i, j ): total number of shortest paths between nodes i and j
                            Closures: nodes with high local clustering coefficient
                                                         v, w      N(u) : (v, w)      E
                                                C(u)
                                                            N(u) N (u ) 1 / 2
Lehrstuhl Informatik 5       where:   N (u ) is the set of neighbors of node u
(Information Systems)
   Prof. Dr. M. Jarke
 I5-PCPK-0412-6
TeLLNet                                 Identification of Group
                                             Social Capital




                                            A community development model [Pham et al., 2011]

Lehrstuhl Informatik 5
                            In which stage is the members’ network of a given group?
(Information Systems)
   Prof. Dr. M. Jarke
 I5-PCPK-0412-7
                            How does it relate to the performance of the group?
TeLLNet                              Qualify the Stage of Group
                                          Member Network
                            Density: fraction of actual edges in the network
                                               v, w      V : (v, w)        E      , n is the number of nodes
                                         D                       n
                                                             2
                            Global clustering coefficient
                                                      3 number of triangles
                                               D
                                                    number of connected triples

                            Maximum betweenness: highest betweenness of nodes
                            Largest connected component: fraction of nodes in largest connected
                             component
                            For large member networks
Lehrstuhl Informatik 5
                              - Diameter: the longest shortest path between any pair of nodes
(Information Systems)
   Prof. Dr. M. Jarke         - Average shortest path length
 I5-PCPK-0412-8
TeLLNet                                                  Case Study:
                                                      eTwinning Community
                         Data                 #data entries   Description
                         Project              23641           Schools from at least two schools from at least two different European countries create a
                                                              project and use ICT to carry out their work.
                         Contact              769578          Teachers are able to explore other teachers' profiles and add them into their own contact
                                                              list. It is suggested to use forum and other media to contact the other teachers before
                                                              taking them as a contact.
                         Project diary        20963           Blog for project reports
                         Project diary post   49604           Each blog entry in project diary
                         Project diary        7184            Comments added to blog entries in project diary
                         comment
                         My journal           38496           Message posted on teachers' wall which is part of teachers' profile
                         message
                         Teacher              146105          Registered teachers working in European schools and, namely "eTwinner"
                         Quality label        8042            Awarded first to projects. Then the project-involved schools and teachers are awarded
                                                              accordingly. They are assigned by each country or on the European level: National Quality
                                                              Label and European Quality Label
                         Prize                1384            eTwinning Prizes are awarded to schools. They are of European level and are called
                                                              European eTwinning Prizes
                         Institution          91077           Various European schools: pre-school, primary, secondary and upper schools
Lehrstuhl Informatik 5
(Information Systems)
   Prof. Dr. M. Jarke
                                                          Statistics on eTwinning data (as of 11.11.2011)
 I5-PCPK-0412-9
TeLLNet

                                                  eTwinning Network
                         Network         #nodes   #edges    Description
                         Project         37907    804856    Nodes are teachers (eTwinners) and there is a connection (edge) between two
                                         (26%)    (0.11%)   teachers if they collaborated in at least one project. Edges in the network are
                                                            undirected and weighted by the number of projects in which the two teachers
                                                            collaborate.

                         Contact         109321   573602    Nodes are teachers and there is an edge between two teachers if at least one
                                         (75%)    (0.01%)   teacher is in the contact list of the other. Edges are undirected and unweighted.
                         Project diary   3264     3436      Nodes are teachers and there is an edge between two teachers if one teacher has
                                         (2.2%)   (0.06%)   commented on at least one blog post created by the other. Edges are directed and
                                                            weighted by the number of comments.
                         My journal      23919    30048     Nodes are teachers and there is an edge between two teachers if one teacher has
                                         (16%)    (0.01%)   posted or commented on the wall of the other. Edges are directed and weighted by
                                                            the number of messages.

                                                   Teacher networks statistics (as of 11.11.2011)
                             Data is processed, transformed and loaded into Oracle data warehouse
                             Networks are aged for time series analysis
                             Network parameters are computed using Oracle store procedures
Lehrstuhl Informatik 5
(Information Systems)        Projects are considered as groups to study group social capital
   Prof. Dr. M. Jarke
 I5-PCPK-0412-10
TeLLNet                   Properties of Teacher Networks:
                          The Power Law Degree Distribution
                                                                             Project network degree distribution                                                            Contact network degree distribution
                                                                  4                                                                                               6
                                                                                                       Raw data                                                                                          Raw data
                                                                                                                    1.455                                                                                               1.933
                                                                  2                                    y=28.209x                                                  4                                      y=327.630x

                                                                                                                                                                  2

                                Cumulative Frequency




                                                                                                                                Cumulative Frequency
                                                                  0

                                                                                                                                                                  0
                                                                  2
                                                                                                                                                                  2
                                                                  4
                                                                                                                                                                  4
                                                                  6
                                                                                                                                                                  6

                                                                  8                                                                                               8

                                                                  10                                                                                              10
                                                                       0          2          4             6                8                                          0       2        4            6          8               10
                                                                                           Degree                                                                                           Degree


                                                                           Project diary network degree distribution                                                       My journal network degree distribution
                                                                  6                                                                                               6
                                                                                                       Raw data                                                                                           Raw data
                                                                                                                    1.625                                                                                               1.750
                                                                  4                                    y=14.904x                                                  4                                       y=38.875x
                                           Cumulative Frequency




                                                                                                                                           Cumulative Frequency
                                                                  2                                                                                               2


                                                                  0                                                                                               0


                                                                  2                                                                                               2


                                                                  4                                                                                               4


                                                                  6                                                                                               6


                                                                  8                                                                                               8
                                                                       0     1        2      3         4        5           6                                          0   1       2        3    4          5       6           7
                                                                                           Degree                                                                                           Degree
Lehrstuhl Informatik 5
(Information Systems)
   Prof. Dr. M. Jarke
                         Degree distribution of eTwinning networks follow the power law with the formula y                                                                                                                           ax
 I5-PCPK-0412-11
TeLLNet

                                                Social Capital of Teachers
                                       (a) Quality labels and number of projects/posts/contacts/wall posts                       (b) Quality labels and degree
                                           1                                                                 1
                                                     Project diary                                                          Project diary
                                        0.9                                                                0.9              Contact
                                                     Contact
                                        0.8          Project                                               0.8              Project
                                                     My journal                                                             My journal
                                        0.7                                                                0.7

                                        0.6                                                                         0.6
                            Frequency




                                                                                                          Degree
                                        0.5                                                                         0.5

                                        0.4                                                                         0.4

                                        0.3                                                                         0.3

                                        0.2                                                                         0.2

                                        0.1                                                                         0.1

                                          0                                                                           0
                                           0      10       20    30      40       50        60    70                   0   10      20    30      40       50        60         70
                                                            Number of quality labels                                                Number of quality labels


                                                       (c) Quality labels and betweenness                                       (d) Quality labels and clustering
                                         1                                                                           1
                                                   Project diary                                                                                               Project diary
                                        0.9        Contact                                                          0.9                                        Contact
                                                   Project                                                                                                     Project
                                        0.8                                                                         0.8                                        My journal
                                                   My journal
                                        0.7                                                                         0.7
                         Betweenness




                                        0.6                                                                         0.6




                                                                                                       Clustering
                                        0.5                                                                         0.5

                                        0.4                                                                         0.4

                                        0.3                                                                         0.3

                                        0.2                                                                         0.2

                                        0.1                                                                         0.1

                                         0                                                                           0
                                          0       10      20    30      40        50        60    70                  0    10     20    30      40       50         60         70
Lehrstuhl Informatik 5                                     Number of quality labels                                                Number of quality labels
(Information Systems)
   Prof. Dr. M. Jarke
 I5-PCPK-0412-12
                                                 Structural hole as a form of social capital in eTwinning networks
TeLLNet                                                                                     Projects Achievement and
                                                                                             Non-structural Properties
                                                                                            Quality label of projects and their properties                                                                      Quality label of projects and their properties
                                                                            1                                                                                                                     0.9
                                                                                          Country                                                                                                               Teacher
                                                                           0.9            Language                                                                                                0.8           Institution
                             Fraction of received quality label projects




                                                                                                                                                    Fraction of received quality label projects
                                                                                          Subject
                                                                           0.8
                                                                                                                                                                                                  0.7
                                                                           0.7
                                                                                                                                                                                                  0.6
                                                                           0.6
                                                                                                                                                                                                  0.5
                                                                           0.5
                                                                                                                                                                                                  0.4
                                                                           0.4
                                                                                                                                                                                                  0.3
                                                                           0.3
                                                                                                                                                                                                  0.2
                                                                           0.2

                                                                           0.1                                                                                                                    0.1

                                                                            0                                                                                                                      0
                                                                                 0      5       10      15      20       25     30      35     40                                                      0   10      20       30     40      50        60     70   80
                                                                                     Number of countries involved, languages used and subjects                                                                  Number of teachers and institution involved


                                                            Number of countries and languages used somehow correlate to the quality
                                                            Number of teachers and institutions: effect on small projects (less than 30 members)
Lehrstuhl Informatik 5
(Information Systems)                                       Subject has no effect
   Prof. Dr. M. Jarke
 I5-PCPK-0412-13
TeLLNet                               Projects Achievement and
                                         Structural Properties
                                                                                                    Quality label of projects and their members network parameters
                                                                                        0.5
                                                                                                                                                 Density
                                                                                                                                                 Clustering coefficient
                                                                                                                                                 Maximum betweenness
                                                                                       0.45
                                                                                                                                                 Largest component




                                         Fraction of received quality label projects
                                                                                        0.4



                                                                                       0.35



                                                                                        0.3



                                                                                       0.25



                                                                                        0.2




                                                                                              0   0.1    0.2     0.3     0.4     0.5   0.6       0.7     0.8    0.9       1
                                                                                                                         Network parameters



                            Project member networks: created using the previous project collaboration and wall
                             messaging, reflect the early communication of project members
                            High quality projects prefer the Bonding stage: consists of seperated densely connected
                             groups
Lehrstuhl Informatik 5
(Information Systems)
   Prof. Dr. M. Jarke       Form of social capital: structural hole
 I5-PCPK-0412-14
TeLLNet

                                  Conclusions and Future Work
                            Social capital in eTwinning Network
                              – Both teachers and projects follow structural hole
                              – The informational diversity is the key success factor
                            Applications: recommendation tools
                              – Help teachers find projects, contacts, etc.
                              – Help project organizers find, select and invite project partners
                            Future works
                              – Tracking the development pattern of teacher networks
                              – Tracking the development pattern of teachers for competence management
                              – Developing tools
                                   – Recommendation tools
                                   – Dynamic visualization of local and global teacher networks as well as network parameters


Lehrstuhl Informatik 5
(Information Systems)
   Prof. Dr. M. Jarke
 I5-PCPK-0412-15

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Acis nlc2012

  • 1. TeLLNet Learning Analytics in a Teachers’ Social Network Manh Cuong Pham, Yiwei Cao, Zinayida Petrushyna, and Ralf Klamma RWTH Aachen University Advanced Community Information Systems (ACIS) last_name@dbis.rwth-aachen.de Lehrstuhl Informatik 5 (Information Systems) Prof. Dr. M. Jarke I5-PCPK-0412-1 This work is licensed under a Creative Commons Attribution-ShareAlike 3.0 Unported License.
  • 2. TeLLNet Advanced Community Information Systems (ACIS) Responsive Web Engineering Community Web Analytics Open Visualization Community and Information Simulation Systems Community Community Support Analytics Lehrstuhl Informatik 5 Requirements (Information Systems) Prof. Dr. M. Jarke I5-PCPK-0412-2 Engineering
  • 3. TeLLNet Agenda  Introduction to social capital  Social network analysis for social capital  Case study: social capital in eTwinning network  Conclusions and future work Lehrstuhl Informatik 5 (Information Systems) Prof. Dr. M. Jarke I5-PCPK-0412-3
  • 4. TeLLNet Introduction  Human capital vs. social capital [Burt, 1992] – Human capital: the personal ability to perform tasks (e.g. talent, education, etc.) – Social capital: the social environment surrounding individuals  Social capital as a property of – Individuals: positions in social network that are more efficient in performing tasks (i.e. local structure) – Groups: structure of members’ network that makes the group functions more efficient (i.e. structure of a sub-network)  In our research, we study social capital in teachers’ network – By SNA metrics and a development model – The performance of teachers and projects: recognized by Quality Labels – Network structure of projects and position of teachers: identified via networks created by several communication mechanisms (e.g. message, project Lehrstuhl Informatik 5 (Information Systems) collaboration, blog) Prof. Dr. M. Jarke I5-PCPK-0412-4
  • 5. TeLLNet Social Capital: Structural Hole vs. Closure  Structural holes [Burt, 1992] - Nodes are positioned at the interface between groups (gatekeepers, e.g. node B) - Informational advantages: access to information from different parts of networks - Form novel ideas by combining information from different groups - Control the communication between groups  Closure - Nodes are embedded in tightly-knit groups (e.g. node A) - More trust and security within coherent communities  Social capital [Coleman, 1990] - Individuals and groups deriving benefits from social relationships Lehrstuhl Informatik 5 (Information Systems) - Network structural property: either structural hole or closure Prof. Dr. M. Jarke I5-PCPK-0412-5
  • 6. TeLLNet Identification of Individual Social Capital  Given the network G=(V,E), where V is the set of nodes and E is the set of edges  Structural holes: nodes with high betweenness u (i, j ) B(u ) u i j (i, j ) where: u (i, j ): number of shortest paths between nodes i and j that pass through node u (i, j ): total number of shortest paths between nodes i and j  Closures: nodes with high local clustering coefficient v, w N(u) : (v, w) E C(u) N(u) N (u ) 1 / 2 Lehrstuhl Informatik 5 where: N (u ) is the set of neighbors of node u (Information Systems) Prof. Dr. M. Jarke I5-PCPK-0412-6
  • 7. TeLLNet Identification of Group Social Capital A community development model [Pham et al., 2011] Lehrstuhl Informatik 5  In which stage is the members’ network of a given group? (Information Systems) Prof. Dr. M. Jarke I5-PCPK-0412-7  How does it relate to the performance of the group?
  • 8. TeLLNet Qualify the Stage of Group Member Network  Density: fraction of actual edges in the network v, w V : (v, w) E , n is the number of nodes D n 2  Global clustering coefficient 3 number of triangles D number of connected triples  Maximum betweenness: highest betweenness of nodes  Largest connected component: fraction of nodes in largest connected component  For large member networks Lehrstuhl Informatik 5 - Diameter: the longest shortest path between any pair of nodes (Information Systems) Prof. Dr. M. Jarke - Average shortest path length I5-PCPK-0412-8
  • 9. TeLLNet Case Study: eTwinning Community Data #data entries Description Project 23641 Schools from at least two schools from at least two different European countries create a project and use ICT to carry out their work. Contact 769578 Teachers are able to explore other teachers' profiles and add them into their own contact list. It is suggested to use forum and other media to contact the other teachers before taking them as a contact. Project diary 20963 Blog for project reports Project diary post 49604 Each blog entry in project diary Project diary 7184 Comments added to blog entries in project diary comment My journal 38496 Message posted on teachers' wall which is part of teachers' profile message Teacher 146105 Registered teachers working in European schools and, namely "eTwinner" Quality label 8042 Awarded first to projects. Then the project-involved schools and teachers are awarded accordingly. They are assigned by each country or on the European level: National Quality Label and European Quality Label Prize 1384 eTwinning Prizes are awarded to schools. They are of European level and are called European eTwinning Prizes Institution 91077 Various European schools: pre-school, primary, secondary and upper schools Lehrstuhl Informatik 5 (Information Systems) Prof. Dr. M. Jarke Statistics on eTwinning data (as of 11.11.2011) I5-PCPK-0412-9
  • 10. TeLLNet eTwinning Network Network #nodes #edges Description Project 37907 804856 Nodes are teachers (eTwinners) and there is a connection (edge) between two (26%) (0.11%) teachers if they collaborated in at least one project. Edges in the network are undirected and weighted by the number of projects in which the two teachers collaborate. Contact 109321 573602 Nodes are teachers and there is an edge between two teachers if at least one (75%) (0.01%) teacher is in the contact list of the other. Edges are undirected and unweighted. Project diary 3264 3436 Nodes are teachers and there is an edge between two teachers if one teacher has (2.2%) (0.06%) commented on at least one blog post created by the other. Edges are directed and weighted by the number of comments. My journal 23919 30048 Nodes are teachers and there is an edge between two teachers if one teacher has (16%) (0.01%) posted or commented on the wall of the other. Edges are directed and weighted by the number of messages. Teacher networks statistics (as of 11.11.2011)  Data is processed, transformed and loaded into Oracle data warehouse  Networks are aged for time series analysis  Network parameters are computed using Oracle store procedures Lehrstuhl Informatik 5 (Information Systems)  Projects are considered as groups to study group social capital Prof. Dr. M. Jarke I5-PCPK-0412-10
  • 11. TeLLNet Properties of Teacher Networks: The Power Law Degree Distribution Project network degree distribution Contact network degree distribution 4 6 Raw data Raw data 1.455 1.933 2 y=28.209x 4 y=327.630x 2 Cumulative Frequency Cumulative Frequency 0 0 2 2 4 4 6 6 8 8 10 10 0 2 4 6 8 0 2 4 6 8 10 Degree Degree Project diary network degree distribution My journal network degree distribution 6 6 Raw data Raw data 1.625 1.750 4 y=14.904x 4 y=38.875x Cumulative Frequency Cumulative Frequency 2 2 0 0 2 2 4 4 6 6 8 8 0 1 2 3 4 5 6 0 1 2 3 4 5 6 7 Degree Degree Lehrstuhl Informatik 5 (Information Systems) Prof. Dr. M. Jarke Degree distribution of eTwinning networks follow the power law with the formula y ax I5-PCPK-0412-11
  • 12. TeLLNet Social Capital of Teachers (a) Quality labels and number of projects/posts/contacts/wall posts (b) Quality labels and degree 1 1 Project diary Project diary 0.9 0.9 Contact Contact 0.8 Project 0.8 Project My journal My journal 0.7 0.7 0.6 0.6 Frequency Degree 0.5 0.5 0.4 0.4 0.3 0.3 0.2 0.2 0.1 0.1 0 0 0 10 20 30 40 50 60 70 0 10 20 30 40 50 60 70 Number of quality labels Number of quality labels (c) Quality labels and betweenness (d) Quality labels and clustering 1 1 Project diary Project diary 0.9 Contact 0.9 Contact Project Project 0.8 0.8 My journal My journal 0.7 0.7 Betweenness 0.6 0.6 Clustering 0.5 0.5 0.4 0.4 0.3 0.3 0.2 0.2 0.1 0.1 0 0 0 10 20 30 40 50 60 70 0 10 20 30 40 50 60 70 Lehrstuhl Informatik 5 Number of quality labels Number of quality labels (Information Systems) Prof. Dr. M. Jarke I5-PCPK-0412-12 Structural hole as a form of social capital in eTwinning networks
  • 13. TeLLNet Projects Achievement and Non-structural Properties Quality label of projects and their properties Quality label of projects and their properties 1 0.9 Country Teacher 0.9 Language 0.8 Institution Fraction of received quality label projects Fraction of received quality label projects Subject 0.8 0.7 0.7 0.6 0.6 0.5 0.5 0.4 0.4 0.3 0.3 0.2 0.2 0.1 0.1 0 0 0 5 10 15 20 25 30 35 40 0 10 20 30 40 50 60 70 80 Number of countries involved, languages used and subjects Number of teachers and institution involved  Number of countries and languages used somehow correlate to the quality  Number of teachers and institutions: effect on small projects (less than 30 members) Lehrstuhl Informatik 5 (Information Systems)  Subject has no effect Prof. Dr. M. Jarke I5-PCPK-0412-13
  • 14. TeLLNet Projects Achievement and Structural Properties Quality label of projects and their members network parameters 0.5 Density Clustering coefficient Maximum betweenness 0.45 Largest component Fraction of received quality label projects 0.4 0.35 0.3 0.25 0.2 0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1 Network parameters  Project member networks: created using the previous project collaboration and wall messaging, reflect the early communication of project members  High quality projects prefer the Bonding stage: consists of seperated densely connected groups Lehrstuhl Informatik 5 (Information Systems) Prof. Dr. M. Jarke  Form of social capital: structural hole I5-PCPK-0412-14
  • 15. TeLLNet Conclusions and Future Work  Social capital in eTwinning Network – Both teachers and projects follow structural hole – The informational diversity is the key success factor  Applications: recommendation tools – Help teachers find projects, contacts, etc. – Help project organizers find, select and invite project partners  Future works – Tracking the development pattern of teacher networks – Tracking the development pattern of teachers for competence management – Developing tools – Recommendation tools – Dynamic visualization of local and global teacher networks as well as network parameters Lehrstuhl Informatik 5 (Information Systems) Prof. Dr. M. Jarke I5-PCPK-0412-15