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Analysing Interactions in a Teacher Network Forum: A Sociometric Approach Eliana Santana Lisbôa Clara Pereira Coutinho Minho University Abstract W This article presents the sociometric eb 2.0, or the Social Web, environments. To promote collabora- analysis of the interactions in a forum brings multiple possibilities for tive learning among the social network of a social network created for the pro- the socialisation of individu- members, the researchers and the fessional development of Portuguese- als. This form of socialisation happens community members launched several speaking teachers. The main goal of the in different ways, including through forums. forum, which was titled Stricto Sensu, sharing photos, music, and interactions Like Clark (2006), we believe that was to discuss the educational value of in discussion groups, via the many ap- information is the basic principle that programmes that joined the distance plications available in cyberspace called flows across networks and therefore learning model in Brazil. The empiri- social networks or virtual communities. must be considered its supreme good. cal study focused on the sociometric Some studies have proved that these Thus, social network analysis (SNA) analysis of the social interactions that spaces are mostly informal and, in addi- is set up as a resource, or even a strat- take place in asynchronous online en- tion to socialising, have the potential to egy, that facilitates an explanation of vironments. This approach, according be educational because learning happens the communication flows, enabling an to literature, allows for new means in a social network (Lisbôa & Coutinho, understanding of the relationships made to observe, analyse, and interpret the 2011). The use of social networks is and an identification of any bottlenecks. reality of a new social paradigm. This common in the teaching and learning The identification and understanding of type of analysis tries to understand process as a complement to face-to- these factors may offer possibilities to the relationship established between face teaching, in distance education, or interfere in its dynamics (i.e., proposing the different actors, seeking to verify if even in the professional development of actions for improvement in its organisa- the roles they play in both the access teachers (Pinto, 2009), as these profes- tion and functioning), especially those to information and the construction sionals face the current demands of so- related to the role of the e-moderator in of shared knowledge. The data col- ciety and feel the need to keep up to date the whole process. lected allow the researchers to deduce and continue lifelong learning through In the literature, SNA is widely used that the indicators used in the analy- interaction and knowledge sharing. to analyse interactions in social net- sis are important for understanding In this context, Senge (1990) empha- works for the study of a diversity of and intervening in the dynamics and sises that knowledge is seen as a social different and heterogeneous contexts, functioning of the network to propose construct and that learning organisa- such as political organizations, enter- improvements in its structure and or- tion necessarily involves the search for prises, and marketing and health studies ganisation. In the specific case of the knowledge. Within this social construct, (Eveland & Kleinman, 2013; Pinto & aforementioned discussion forum, individuals are encouraged and feel the Junqueira, 2008; Raeymaeckers, 2013; the results of the sociometric analysis need to continuously develop “their Zelner et al., 2012). Regarding educa- of the perceived interactions were not ability to create the results they truly tional research, a systematic search of surprising, considering that the nature desire, with high standards of reasoning, academic databases, such as Scopus of the topic did not demand deep re- where collective aspiration is set free, and Ebsco, verified that social network flection to contribute to the debate. and people learn continuously in group” analysis was mainly used as a strategy (Keywords: teacher networks, forum (Senge, 1990, p. 11). to analyse the processes of knowledge interactions, sociometric analysis, We created the Teachers in the construction and collaboration in online collaborative learning, e-moderator) Digital Age (PROEDI) social network and distance education (Jablokow & (www.proedi.ning.com) to promote Vercellone-Smith, 2011; Jimoyiannis the professional growth of a group & Angelaina, 2012; MacKellar, 2012; of Portuguese-speaking teachers Rice Doran, Doran, & Mazur, 2011; who sought to share their knowledge Romero-Moreno & Lucena, 2010; Silva and experience in informal learning & Figueira, 2012; Thornton & Leahy, Volume 29 Number 4 | Journal of Digital Learning in Teacher Education | 141 Copyright © 2013, ISTE (International Society for Technology in Education), 800.336.5191 (U.S. & Canada) or 541.302.3777 (Int’l), [email protected], iste.org. All rights reserved. Lisbôa & Coutinho 2012). The position a member occupies in a sociogram allows researchers to understand the individual processes of knowledge acquisition (Oshima, Oshima and Matsuzawa, 2012) or even the construction of the so called “social capital” inside the community (Cor- omina, Coenders, Ferligoj & Guia, 2011; Recuero & Zago, 2009; Recuero, 2006; Rice Doran, Doran & Mazur, 2011). However, we did not find reports of the use of SNA to study the processes of e- moderation and shared leadership inside a social network, so we believe our study is a contribution to the state of the art. Considering the above, we formulated a research question to guide the empiri- cal study: How does the SNA analysis clarify the understanding of the dynam- ics of communication inside a social network, particularly those related to the e-moderation process? Can we improve organisation and functioning of a virtual Figure 1. Distributed networks (Baran’s diagram, 1964). community based on the SNA analysis? tween these individuals through various In addition, interconnection contains interactions: “When this happens, we say various forms of interaction and collec- Review of Literature that a connection has been established” tive intelligence that represent the result Defining Social Networks (Franco, 2008b, p. 113). of the collaborative process that is pos- Based on the studies of Castells (2000), In a successful network, information sible in cyberspace, given that everyone Levy (2003), Capra (2002), Barabási must flow in a decentralised manner for can be producer of knowledge. Indeed, (2002), and Franco (2008a), we can members to feel free to participate and be according to Levy (2003), the possibility characterise social networks as a set respected in their cultural diversity. The of interaction within the community is of relationships or connections where environment must be democratic for the related to the same theme, which makes messages flow (nodes). Graphically, we exercise of shared leadership (Dias, 2008). virtual communities a space conducive to can say that these connections can be the spread of cyberculture. Thus, we can represented by edges, and the nodes can Social Networks and the say that virtual communities represent be represented by vertices (Lisbôa & Construction of Knowledge the interest of a certain group of people Coutinho, 2010). Thus, from the existing According to Levy (1998), cyberspace in sharing common information, which connections in relation to the nodes, we represents a new medium in which makes them a location for the most di- can identify whether an organisation can everyone can contribute to its growth and verse artistic and cultural manifestations, be considered a network (see Figure 1). development through the production and promoting approximation and uniting The figure illustrates how people are dissemination of information and knowl- individuals by the most diverse interests linked to each other without the predom- edge. This growth is associated with (Lisbôa & Coutinho, 2011). inant figure of a coordinator. Each node cyberculture, as it is the manifestation is connected to several of its neighbour- of the practices, cultures, and opinions Sociometric Analysis ing nodes, and there are many degrees of several users who attend the virtual In the literature, several techniques have of distribution, as each node has several environments. It is in this context of col- been used in SNA. In the specific case possible routes to send data. If a route or laboration that social networks arise, sup- of the present study, we will focus on neighbouring node is destroyed, another ported by interconnection and collective the sociometric analysis. According to path will be available (Baran, 1964). intelligence. Interconnection is related to Varanda (2000), this analysis has been Therefore, we believe that the nodes and the different forms of interaction avail- considered by a large number of theo- connections are constituent elements able online, and collective intelligence is rists to be the new social paradigm due of the network, in which the nodes are the result of online collaboration, as all to its original way of observing, analys- represented by people and the connec- cybernauts are potential producers of ing, and interpreting reality. Overall, this tions are the relationships established be- knowledge (Harasim, 2012). kind of analysis tries to understand the 142 | Journal of Digital Learning in Teacher Education | Volume 29 Number 4 Copyright © 2013, ISTE (International Society for Technology in Education), 800.336.5191 (U.S. & Canada) or 541.302.3777 (Int’l), [email protected], iste.org. All rights reserved. Analysing Interactions in a Teacher Network Forum relationship between the different actors, of network elements in order to help or virtual community in the past. The seeking to verify if the roles that they researchers understand the behaviour forum titled Stricto Sensu, which is the occupy may influence access to informa- and attitudes of the actors participating focus of this article, started from the tion, knowledge, and the construction of in the discussion forum. According to initiative of a participant who wanted to knowledge (Clark, 2006). Wellman (2001), the SNA is a very effec- listen to the group’s opinions on Stricto The SNA aims to characterise the orga- tive method through which to under- Sensu programmes in Brazil and its nizational structure of a social group, rep- stand the organisation and arrangement adherence to b-learning. This proposal resenting visually the existing individual of members in a social network, which was not planned in the programme, nor connections to find out if there is reciproc- in the specific case of our study was the was it directly connected to the training ity in the communication flows (unidi- social network Teachers in the Digital activities mentioned above. rectional or bidirectional), if the group Age (PROEDI). is cohesive, who the members are who The PROEDI was created on the Data Collection and Analysis exercise leadership, and how the group Ning social software tool and has been To collect data, we used a survey with functions as a whole (Newman, 1999). By online since January 2011. Its main a main objective of characterising the building graphical representations of net- objective is to explore new approaches sample. This instrument is associated works, the researcher is able to understand to the training and professional develop- with the Ning social network and serves how they are organised and the types ment of teachers that emerge from the as a criterion to access it. of existing interactions, as well as their context of the paradigm known as Web For the structural analysis of the joints, providing them with the authority 2.0. This online environment has been network, we used direct observation, to propose actions for improvement or used in various contexts, including as an which was reported in literature as the reorganisation of its structure (Kauchakje informal learning environment and as a most adequate technique to study the & Delazari, 2007). According to Scott complement to the activities of formal interactions between the members of (2004), some of the essential characteris- teacher training programmes. a restricted group (Bernard, Kilworth, tics of a network can be analysed through The present study involved a group & Sailer, 1990; Freeman & Michaelson, matrixes. In this design, the graph theory of teachers from the Federal University 1988, 1989; Freeman & Romney, 1987; describes the networks rigorously and of Maranhão (UFMA) and the State Killworth & Bernard, 1976; Lemieux & carefully, describing them through master University of Piauí (UESPI), who were Ouimet, 2008). We used the software data that can be translated into concepts participating in the programme Promot- Ucinet to analyse the indicators (density, and/or theorems and stored and/or related ing the Use of ICT in Undergraduate degree of centrality, index of centrality, in specific computer programs, allowing Courses, which was directed at teachers intermediation, and closeness) and Net- a much easier and objective approach. of public universities whose projects draw to create graphical representations However, for a more detailed and fruitful had been approved by the Foundation of interactions (Borgatti, 2002). network, an analysis of its main indicators for Co-ordination and Improvement of is required, including: (a) network density, Higher Education Personnel (CAPES). Sample (b) degree of centrality, (c) centralization This course focused on offering a Participants in the PROEDI network cre- index, (d) intermediation degree, and (e) theoretical and practical basis to pro- ated the Stricto Sensu forum. Fifty mem- closeness degree. mote integration between the classroom bers (29 females and 21 males) partici- education and distance education pated in this forum. Regarding age, 28% Method system (b-learning) in higher education of the participants were 26–30 years old The present study followed a qualitative institutions (IES) of the federal and state (14 members), 20% were 36–40 years old mainstream line, as its main purpose sphere, and also those that integrate the (10), 16% were 31–35 years old (8), 14% was to analyse the interactions estab- Open University of Brazil (OUB) sys- were 46–50 years old (7), 8% were 51–55 lished between the actors of the network tem. In addition, the programme aimed (4), 6% were 41–45 years old (3), 6% were as well as the behaviour and position of to promote the development of digital 56–60 years old (3), and 1 member did each member (Hirschi, 2009). To this literacy and to develop participants’ not report. With respect to employment, end, we used a number of techniques desire and need to use information and the majority (31 members) were teachers. related to SNA that allowed us to repre- communication technology (ICT) in the As for the social networks used, Face- sent the interactions and relationships teaching and learning process. book (22) took the lead, in addition to between the actors, not only by means of With these goals in mind, the in- PROEDI. Concerning the participation graphic representation, but also through structor presented the PROEDI social in virtual communities, an overwhelming some indicators that provided inputs network, requested the adherence of all majority (35) indicated that they had not to explain the network’s functioning teachers, and familiarised them with participated in any virtual community. (Hirschi, 2009). an environment focused on the train- Furthermore, 28 members reported a In general terms, the SNA aims to ing of teachers, as most of them had basic knowledge in ICT training, 11 re- describe and represent the interactions not participated in this kind of network ported an average knowledge, 6 claimed Volume 29 Number 4 | Journal of Digital Learning in Teacher Education | 143 Copyright © 2013, ISTE (International Society for Technology in Education), 800.336.5191 (U.S. & Canada) or 541.302.3777 (Int’l), [email protected], iste.org. All rights reserved. Lisbôa & Coutinho to possess no knowledge, 4 claimed to have advanced knowledge in ICT, and 1 person did not report. Results In this section, we present the results of the sociometric analysis of the perceived interactions in the discussion forum Stricto Sensu according to the set of indicators previously mentioned. Density Most theorists who discuss the subject consider the analysis of the frequency of the interactions as one of the most basic features within a sociometric analysis. Fifty members participated in this network, which presented 115 links. To provide a better visualisation of the generated discussions on the theme of discussion forum, Figure 2 presents the graph of interactions. Figure 2. Analysis of interactions. Each point of the sociogram rep- resents a member of the network. The Ouimet (2008), we calculate the number works conversely: It is the number of lines that have no arrow at the end of possible relationships by multiplying interactions that the actor has with other represent a unidirectional relationship, the total number of nodes (NTN) by the members (Clark, 2006; Velázquez & meaning that the member received an total number of nodes minus 1 (NTN- Aguilar, 2005). invitation to participate in the discus- 1), as follows: RP = NTN x (NTN -1). The Ucinet presents the actors organ- sion but did not interact (see A11 or We calculated that, in theory, the net- ised by their level of centrality through A13). When the lines have arrows at work could have 2,450 possible relations the following columns: (a) outDegree the extremities, this member received (RP = 50 x [50-1] = 50 x 49 = 2450). (output degree), (b) InDegree (input de- and sent messages (A49–A43). There is However, it was only possible to envision gree), (c) NrmOutDeg (standard output no loose node in this sociogram, as all 115 relationships. Therefore, the density degree), and (d) NrmInDeg (standard members connected at least once with is the ratio of the number of existing input degree). The last two columns the e-moderator (A03). relations and the possible relations: D = show the percentage representation of A global glance at the sociogram RE/RP x 100 (i.e., D = [115/2450] x 100 their degrees. Accordingly, Table 1 il- immediately reveals that there was little = 4.69%). Based on this result, we can lustrates that the actor A01 has a higher interaction between the members. The say that the ties are mostly considered level of centrality reflected in an input great majority are not loose nodes (i.e., weak, as the relationships observed are degree of 48 (this number means that A07, A09, A43) because the actor A01 dispersed, without any closeness, and potentially A01 was available to 48 of maintains contact with them and is they do not converge to achieve a greater the other members of the community), responsible for establishing and shar- engagement of the group (Granovetter, which corresponds to a standard input ing information. A larger interaction 1973; Wellman, 1997). degree of 97.9%. This was followed by volume can be identified on the left side A03, who had an input degree of 5 and of the graph, where the nodes A03 and Degree of Centrality a standard input degree of 10.2%. Less A01 preserve the cohesion and connec- The degree centrality on a network is an significant, the actor A02 possessed an tion within the group. indicator that measures the number of input degree of 4 and a standard input According to the graph, it is evident direct links that each actor or member degree of 8.16%. On The nodes A11 and that the network is not very dense. has within the network. Depending on A13 do not have input degrees, as none However, to calculate the density of the the direction of flow, it can be classi- of the members established communica- network, we need to know the number fied as a degree of input or output. The tion with these actors. of possible relationships, with refer- degree of input can be defined as the ence to the number of participants in sum of the interactions that the other Centralization Index this forum (50), which we have already members establish with a particular The centralization index is the indicator called nodes. According to Lemieux and actor. However, the degree of output that defines whether an actor is the cen- 144 | Journal of Digital Learning in Teacher Education | Volume 29 Number 4 Copyright © 2013, ISTE (International Society for Technology in Education), 800.336.5191 (U.S. & Canada) or 541.302.3777 (Int’l), [email protected], iste.org. All rights reserved. Analysing Interactions in a Teacher Network Forum Table 1. Degree of Centrality tral element of a network—if, apart from ID OutDegree InDegree NrmOutDegree NrmInDegree stopping the flow of communication, A01 47.000 48.000 95.918 97.959 the actor is also the communication A03 14.000 5.000 28.571 10.204 point between the other members of the A32 2.000 1.000 4.082 2.041 network (Velázquez & Aguilar, 2005). In A49 2.000 2.000 4.082 4.082 general, we noticed that the network is A25 2.000 2.000 4.082 4.082 highly centralised, as the data displayed by the software confirm that the network A46 2.000 2.000 4.082 4.082 in its entirety has an output centralisa- A02 1.000 4.000 2.041 8.163 tion degree (Outdegree) of 95.026% and A08 1.000 1.000 2.041 2.041 an input centralisation degree (Indegree) A04 1.000 1.000 2.041 2.041 of 97.151%. A11 1.000 0.000 2.041 0.000 A06 1.000 1.000 2.041 2.041 Intermediation Degree A10 1.000 1.000 2.041 2.041 The intermediation degree is an indica- A14 1.000 1.000 2.041 2.041 tor that allows the researcher to identify A15 1.000 1.000 2.041 2.041 the position that the actors have in the A16 1.000 2.000 2.041 4.082 network. To theorists such as Varanda A17 1.000 1.000 2.041 2.041 (2000); Flap, Bulder, and Volker (1998); A18 1.000 1.000 2.041 2.041 and Velázquez and Aguilar (2005), A19 1.000 1.000 2.041 2.041 among others, the higher the interme- A20 1.000 2.000 2.041 4.082 diation degree, the greater the likeli- A09 1.000 1.000 2.041 2.041 hood that the individuals have access A22 1.000 2.000 2.041 4.082 to information and, consequently, have A23 1.000 1.000 2.041 2.041 more control of communication com- pared to members who have a periph- A12 1.000 1.000 2.041 2.041 eral, marginal participation, or even A13 1.000 0.000 2.041 0.000 compared to those who are isolated A26 1.000 1.000 2.041 2.041 (loose nodes). A27 1.000 1.000 2.041 2.041 From the data, we recognised that A28 1.000 1.000 2.041 2.041 the actor A01 has the greatest degree of A29 1.000 3.000 2.041 6.122 intermediation with 2204.5, which ex- A05 1.000 2.000 2.041 4.082 presses the number of peers with which A31 1.000 1.000 2.041 2.041 the actor can connect. This represents A07 1.000 1.000 2.041 2.041 a total percentage of 93.72% (degree A33 1.000 1.000 2.041 2.041 of normalised intermediation). Next, A34 1.000 1.000 2.041 2.041 A03 has a degree of normalised inter- A35 1.000 1.000 2.041 2.041 mediation of 2.7%, and finally the node A36 1.000 1.000 2.041 2.041 A02 represents the others who have no A37 1.000 1.000 2.041 2.041 degree of intermediation. A38 1.000 2.000 2.041 4.082 A39 1.000 2.000 2.041 4.082 Closeness Degree A40 1.000 1.000 2.041 2.041 The closeness degree is the “capacity of a node to connect to all the actors of a A41 1.000 1.000 2.041 2.041 network” (Velázquez & Aguilar, 2005, p. A42 1.000 1.000 2.041 2.041 24). It is the indicator that specifies the A43 1.000 2.000 2.041 4.082 closeness degrees of an author in rela- A44 1.000 1.000 2.041 2.041 tion to others on the network. Accord- A45 1.000 1.000 2.041 2.041 ing to Fidalgo and Freitas (2011), “the A21 1.000 2.000 2.041 4.082 geodesic distance—that is, the shortest A47 1.000 1.000 2.041 2.041 route—between pairs of actors is one of A48 1.000 1.000 2.041 2.041 the most widely used measures of close- A24 1.000 1.000 2.041 2.041 ness” (p. 1396). When we observe a net- A50 1.000 1.000 2.041 2.041 work and verify that a given node has a higher closeness degree, this means that Volume 29 Number 4 | Journal of Digital Learning in Teacher Education | 145 Copyright © 2013, ISTE (International Society for Technology in Education), 800.336.5191 (U.S. & Canada) or 541.302.3777 (Int’l), [email protected], iste.org. All rights reserved. Lisbôa & Coutinho Table 2. Intermediation Degree group of teachers on the PROEDI social and customise their formative courses ID Betweeness nBetweeness network and to analyse the type of rela- while increasing their digital literacy. A01 2204.500 93.729 tionships that were established as well On the other hand, lessons learned A03 64.500 2.742 as ascertain who the leaders were inside from our study show that SNA is a A02 0.000 0.000 the community. In the specific case of powerful tool to inform social network this forum, which was launched to listen leaders/administrators, as it functions it exceeds the rest in its ability to con- to the members’ opinion about a specific as a kind of a mirror that reflects the nect to other actors in the network. In distance education program in Brazil, organization of the whole community. the sociogram, those are the nodes that the data we obtained were not surpris- Through the analysis of the visual socio- are closer to the center of the network ing, considering that the nature of the gram as well as the numerical indicators, (see Figure 2). subject did not require deep reflection to one can gather useful data in order to Table 2 (p. 146) shows two types of contribute to the debate. implement strategies that allow informa- closeness (incloseness and outcloseness), However, it is clear that the actors tion to flow horizontally inside the com- which refer to the input closeness degree who present a greater centralization munity, allowing the group to become and the output closeness degree. In addi- index and hold more information also more and more cohesive. tion, it illustrates the deviation degree of have the opportunity to receive more input and output of each member of the information and therefore are the most Acknowledgments network (infarness and outfarness). In popular and influential in the network. This work is funded by Portuguese Foundation for Science and Technology under the doctoral grant our analysis, we will take only the close- In the forum we analysed, these ac- SFRH/BD/60677/2009. ness degree and the deviation degree as tors were the creators of the discussion references. Thus, we can see that A01 has forum and the e-moderator. Author Notes a greater closeness degree with a value On the other hand, we see that the Eliana Santana Lisbôa has a master’s in educational of 98.000, followed by node A03 with network is highly centralised, as es- technology and is a doctoral student at the Universi- a value of 52.688. In a more extreme sentially two actors hold the largest ty of Minho, Braga, Portugal. She develops research position, the actors A11 and A13 have a number of possibilities to interact with in the field of virtual social networking, with special emphasis in the professional development of teachers lower closeness degree, assuming a value others. This is apparent in the graph, in educational technology. She has published widely of 2.000. which shows that the two actors who in national and international educational journals Supported by the literature on the participate most frequently have an and conference proceedings as well as two book subject, (Borgatti, Everett, & Freeman, important function: to keep any element chapters. Please address correspondence regarding 2002), it is apparent that the actors from being a loose node (i.e., a person this article to Eliana Santana Lisboa, Institute of Education, University of Minho, 4710-057 Braga, A01 and A03 have a greater power of who does not maintain communication Portugal. E-mail: [email protected] influence when imposing their opinions with any element of the network). How- and interfering directly over the other ever, even though they were not active Clara Pereira Coutinho is an assistant professor at the Institute of Education, Minho University, Braga, elements. In contrast, nodes A11 and members in this discussion forum, those Portugal. She teaches educational technology and A13 have the lowest closeness degree members had a peripheral participation, research methods in master’s and doctoral education and therefore have the greatest deviation which, according to Wenger (1988), programs and has wide experience in the design of degree. This means that, in theory, these enables learning. We believe that mere teacher education programs as well as in the evalua- actors are more autonomous regarding participation and reading some con- tion of the impact of integrating information commu- nication technology in basic and secondary schools. their choices and behaviours (Freeman, tributions on the discussion forums Her previous experience also includes research in the 1978). provide opportunities to learn. How- areas of Web 2.0 educational uses and affordances as ever, in the current context in which we well as participation in several projects on e-learning, Conclusions live, where collaborative learning is a multimedia technologies, and digital storytelling. The study proves that the SNA is an effec- subject much in vogue, there was a lack She has published widely in prestigious national and international journals and conference proceedings. tive methodology with which to analyse of member engagement and participa- Please address correspondence regarding this article the existing interactions between people tion and, consequently, contribution to to Clara Pereira Coutinho, Instituto de Educação, within a specific group, particularly social the growth of the group. As Ally (2004, Universidade do Minho, 4710-057 Braga, Portugal. networks and virtual communities. p.24) remarked, it is necessary for each E-mail: [email protected] The data allowed us to deduce that member to be “able to interact within References the indicators we used in our analysis their context to customize information Ally, M. (2004). Foundations of educational theory are of great value in understanding and construct their own meaning.” We for online learning. In T. 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