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  <front>
    <journal-meta>
      <journal-title-group>
        <journal-title>L. J. (2020). Empowering learners in the second/foreign language classroom:
Can self-regulated learning strategies-based writing instruction make a difference? Journal of Second
Language Writing</journal-title>
      </journal-title-group>
    </journal-meta>
    <article-meta>
      <article-id pub-id-type="doi">10.1146/annurev-clinpsy</article-id>
      <title-group>
        <article-title>Using Psychological Networks to Reveal the Interplay between Foreign Language Students' Self-Regulated Learning Tactics</article-title>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author">
          <string-name>Mohammed Saqr</string-name>
          <xref ref-type="aff" rid="aff0">0</xref>
          <xref ref-type="aff" rid="aff2">2</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Olga Viberg</string-name>
          <email>oviberg@kth.se</email>
          <xref ref-type="aff" rid="aff0">0</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Ward Peteers</string-name>
          <xref ref-type="aff" rid="aff1">1</xref>
        </contrib>
        <aff id="aff0">
          <label>0</label>
          <institution>KTH Royal Institute of Technology</institution>
          ,
          <addr-line>Lindstedsvägen 3, 10044 Stockholm</addr-line>
          ,
          <country country="SE">Sweden</country>
        </aff>
        <aff id="aff1">
          <label>1</label>
          <institution>Kanda University of International Studies</institution>
          ,
          <addr-line>1-4-1, Wakaba, Mihama-ku Chiba-shi, Chiba-ken</addr-line>
          ,
          <country country="JP">Japan</country>
        </aff>
        <aff id="aff2">
          <label>2</label>
          <institution>University of Eastern Finland</institution>
          ,
          <addr-line>FI-80100 Joensuu</addr-line>
          ,
          <country country="FI">Finland</country>
        </aff>
      </contrib-group>
      <pub-date>
        <year>2020</year>
      </pub-date>
      <volume>11082</volume>
      <fpage>15</fpage>
      <lpage>16</lpage>
      <abstract>
        <p>Students' ability to self-regulate their individual and collaborative learning activities while performing challenging academic writing tasks is instrumental for their academic success. Presently, the majority of such learning activities often occur in computer-supported collaborative learning (CSCL) settings, in which students generate digital learner data. Examining this data may provide valuable insights into their self-regulated learning (SRL) behaviours. Such an understanding is important for educators to provide adequate support. Recent advances in the fields of learning analytics (LA) and SRL offer new ways to analyse such data and understand students' dynamic SRL processes. This study uses a novel psychological network method, i.e., Gaussian Graphical Models, to model the interactions between the students' SRL tactics and how they influence language learning in a CSCL setting for academic writing. The data for this study was generated by first-year foreign language students (n=119) who used a Facebook group as a collaborative space for peer review in an academic writing course. The theoretical lens of strategic self-regulated language learning was applied. The findings show a strong connection between the following tactics: writing text, social bonding and acknowledging. Strong connections between students' reflective activities and their application of feedback, as well as between acculturating, organising and using resources were also identified. Centrality measures showed that acculturating is most strongly connected to all other tactics, followed by acknowledging and social bonding. Expected influence centrality measures showed acculturating and social interactions to be strong influencers. Students' academic performance and their use of tactics showed little correlation.</p>
      </abstract>
      <kwd-group>
        <kwd>eol&gt;Psychological networks</kwd>
        <kwd>Gaussian Graphical Models</kwd>
        <kwd>self-regulated learning</kwd>
        <kwd>foreign language learning</kwd>
        <kwd>computer-supported collaborative learning</kwd>
      </kwd-group>
    </article-meta>
  </front>
  <body>
    <sec id="sec-1">
      <title>1. Introduction</title>
      <p>
        Academic writing is a vital aspect in a student’s learning path as it is one of the major ways
to achieve several academic goals, enhance critical thinking skills, stimulate creativity, and
create awareness, knowledge and skills about the use of academic and professional discourse
[
        <xref ref-type="bibr" rid="ref1">1</xref>
        ]. However, it is a challenging and complex learning activity in which learners’ ability to
self-regulate their learning process is critical for their study success [
        <xref ref-type="bibr" rid="ref2">2</xref>
        ]. The ability to
selfregulate their own learning empowers students to take control of their learning process,
including the choices they make, the strategies they use and the resources they seek out, and
prepares them for lifelong learning [
        <xref ref-type="bibr" rid="ref3">3</xref>
        ]. Even though self-regulation is mostly seen as a task of
the learner, students benefit from receiving support in terms of the development of their
selfregulated learning (SRL) strategies, skills and knowledge. As shown in earlier research, its
principles can be learnt and taught, and, because of this, a learner’s SRL development should
be tracked and assessed [
        <xref ref-type="bibr" rid="ref3">3</xref>
        ]. In doing so, we ensure that educators will be able to provide apt,
adequate and relevant support mechanisms throughout a student’s learning trajectory [
        <xref ref-type="bibr" rid="ref4 ref5">4, 5</xref>
        ].
      </p>
      <p>
        Lately, significant attention has been paid to how online collaborative learning spaces can
enable and foster language learners’ autonomy development, their self-regulation in learning
and such skills as writing and speaking in second and foreign language learning [
        <xref ref-type="bibr" rid="ref6 ref7">6, 7</xref>
        ]. Yet, a
paucity of research that has been performed to understand language learners’ SRL behaviour
remains in computer-assisted learning settings such as learning management systems or social
networking sites (SNS) [
        <xref ref-type="bibr" rid="ref8">8</xref>
        ]. While recent studies have increasingly started to measure language
students’ SRL behaviours through the analysis of student-generated (log) data [
        <xref ref-type="bibr" rid="ref9">9</xref>
        ], there are
still many studies that solely rely on self-report instruments to analyse and assess SRL [10].
      </p>
      <p>
        In recent years, the context of computer-supported collaborative learning (CSCL) has
allowed students to generate a range of new types of digital (log) data, the careful analysis of
which can offer researchers and practitioners new valuable insights into foreign language
students’ SRL processes. This approach would in addition reduce the need for subjective
assessment methods (e.g., surveys and think-alouds) [
        <xref ref-type="bibr" rid="ref5">5</xref>
        ] to measure and understand students’
SRL processes. A shift has emerged to measure students’ SRL behaviour with learning
analytics (LA) methods, including multimodal data from learning management systems or
other online platforms such as SNSs. Among the methods used to track learners’ SRL
processes, scholars have applied frequency analysis (e.g., [11], network analysis [
        <xref ref-type="bibr" rid="ref4">4</xref>
        ], and
process mining techniques (e.g., [12]).
      </p>
      <p>This exploratory study aims to further contribute to this emerging trend by focusing on the
application of a (to the educational research field) novel psychological network method of
Gaussian Graphical Models (GGMs; an undirected network of partial correlation coefficients)
to study foreign language students’ SRL activities / tactics in the setting of an academic writing
course. SRL tactics refer to the specific, applied ways in which a strategy (e.g., planning or
time management) is being employed to meet a goal in a specific learning situation [13].</p>
      <p>Networks are used across similar studies to represent different entities (referred to as nodes),
and the relationships between them (referred to as edges). The nodes can represent various
structures or elements (e.g., humans, cities, countries, or concepts), while edges can be
friendships, roads or influence. Psychological networks are a special type of networks where
the nodes are variables and the edges represent correlations or a level of dependence between
nodes [14, 15]. Psychological networks have been increasingly adopted in psychology and
behavioural research to model the interactions and relationships between constructs including
behaviour, emotions and mental phenomena (e.g., [16, 17]). The approach stems from the
conceptualisation of human behaviour as a complex system with multiple elements that interact
and influence each other. This is also the case for education where, for example, learners' goal
setting activities often relate to their task management and engagement in the learning process,
and both can be linked to their self-reflection activities which, in turn, influence the process.
Such interactions cannot be studied individually, but need to be combined in a robust holistic
model that maps the various elements of the process. Therefore, in this study, we argue that the
application of psychological networks can be a valuable approach that would broaden our
understanding of these dynamic interactions in learners’ SRL development. In contrast to the
commonly used network models (e.g., social network analysis), psychological networks offer
rigorous probabilistic network models that account for spurious correlations and conditional
independence. Psychological networks have a large battery of confirmatory statistics to verify
the estimated networks and offer a hypothesis generation model that helps advance our
understanding of the (learning) process [16, 18].</p>
      <p>In summary, this study aims to test the application of GGM methods to uncover the
dynamics of foreign language students’ SRL tactics when collaborating online with their peers
on academic writing tasks. The following research questions have been formulated:
1. What information can be obtained from analysing foreign language students’ SRL
tactics in their academic writing process using Gaussian Graphical Models?
2. How does academic achievement relate to students’ approaches to self-regulated
language learning?</p>
    </sec>
    <sec id="sec-2">
      <title>2. Background 2.1. Self-regulation and academic writing</title>
      <p>Academic writing in the target language is a complex and challenging process in which
learners of second and foreign languages need to grow accustomed to a wide range of linguistic
rules, interactional goals and socio-cultural contexts [19]. In order to do so successfully,
learners can benefit from applying self-regulated learning strategies in their writing practice.
Self-regulation in writing refers to “self-initiated thoughts, feelings and actions that writers use
to attain various literary goals, including their writing skills as well as enhancing the quality of
the text they create” [20, p.76]. Research has shown that learners who received SRL
strategybased writing instruction were able to use a wider range of SRL strategies and reported
increased levels of performance and linguistic self-efficacy [21, 22].</p>
      <p>
        At present, a considerable number of academic writing instruction, including related tasks
and learning activities, often occur in CSCL settings [
        <xref ref-type="bibr" rid="ref15">33</xref>
        ]. It is in this context that the present
study aims to use GGM methods to explore foreign language learners’ use of SRL tactics based
on the log data they have generated.
2.2.
      </p>
    </sec>
    <sec id="sec-3">
      <title>Network representation</title>
      <p>
        Networks offer a rich framework for the analysis of different phenomena and therefore, have
been used extensively over the years to understand learners’ behaviour in education [23]. Social
network analysis (SNA) has, for example, been used to study interactions between students
and teachers, interactions between students and learning materials, and co-enrolment in similar
subjects [24, 25]. Network representations in learners’ networks can be considered rather
straightforward: the nodes represent learners and the edges among them are the connections
they make by verbal interactions or connections on online platforms [26]. Epistemic network
analysis (ENA) is another network representation that has recently gained popularity to
represent the interactions between different phenomena and in particular, the utterances in
students' interactions (e.g., [
        <xref ref-type="bibr" rid="ref10">27, 28</xref>
        ]). The nodes in ENA are usually the phenomena under
study, for example coded utterances, and the relationships between them (edges) are
cotemporal representations of the codes in the same conversation. Process mining is another type
of network representation that has been used to study students’ SRL strategies (e.g., [11] and
tactics [
        <xref ref-type="bibr" rid="ref4">4</xref>
        ]. As such, the wealth and flexibility of networks as a framework has contributed
substantially to our understanding of the multifaceted aspects of learning and teaching activities
and processes.
      </p>
    </sec>
    <sec id="sec-4">
      <title>Gaussian Graphical Models</title>
      <p>A psychological network approach is another method to represent the relationships among
variables (coded interactions in our case), where the nodes represent the coded interactions and
the edges represent the association between the variables. The associations are measured by
partial correlation. A positive partial correlation between variables means that there is an
association between the two variables after controlling for all other variables in the network,
similar to regression models. Controlling for other variables gives a robust estimate of the
association and limits the problem of spurious correlations due to confounders. For example,
in a bivariate correlation, a researcher reports a positive association between coffee
consumption and academic achievement, which may be due to unmeasured study time, while
in psychological networks, adding coffee to the network model will show the association
between study time and achievement, and not exclusively the influence of the coffee.
Psychological networks are commonly reported as regularised networks by applying a
shrinkage parameter that drops small and insignificant edges from the model and prevents
overfitting. This is particularly important, since correlating many variables together may result
in ‘noisy’ trivial correlations. Furthermore, psychological networks offer several confirmatory
tests to verify the significance of edges or centrality measures.</p>
      <p>
        Psychological networks models have witnessed rapid growth, improvements and
refinements of the methods, interpretation, verification and rigour [16]. Such advancement has
led to an increased adoption in many fields, including exploratory analysis, modelling
psychological phenomena, studying human behaviour, modelling the interplay between
different attitudes, and the understanding of human personality and emotions. In the field of
psychology, which has also been studying individuals’ self-regulation process for decades
(e.g., [
        <xref ref-type="bibr" rid="ref11 ref12">29, 30</xref>
        ]), psychological networks have contributed to the understanding of, among
others, the complexity of mental disorders, i.e. modelling how symptoms of a mental disorder
are interdependent. In line with the related research efforts undertaken in other fields, the
application of psychological networks in the educational field would aid researchers to broaden
their understanding of the conditional associations between different variables within learners’
development of SRL activities / tactics, and the application of them in dynamic online systems.
      </p>
    </sec>
    <sec id="sec-5">
      <title>3. Methodology</title>
      <p>This study makes use of a dataset generated by a group of first-year foreign language majors
of English (n=119) as they collaborated with their peers on a Facebook group, integrated in an
academic writing course at the University of Antwerp (Belgium), and which served as an online
collaborative space for peer review. Learners exchanged written work and brainstormed about
the different rules and principles they had to adhere to, as well as the form and argumentation
of their writing, and the goals, perspectives and organisation of the course. During the 12
faceto-face contact hours for the course, learners were introduced to the foundations of academic
writing and had to hand in three 300-word essays over the course of the semester. While
students were introduced to the basics of peer review, there was no explicit self-regulated
learning strategy-based instruction or training. Students generated 2594 posts and comments
on the Facebook group over a period of three months.</p>
      <p>
        Coding: Based on the Strategic Self-Regulation (S2R) model [13], including the taxonomy
of cognitive, affective and sociocultural-interactive activities in learning, and using the
principles of digital conversation analysis [
        <xref ref-type="bibr" rid="ref13">31</xref>
        ], an exhaustive list of core (learning) activities
in the conversation threads was compiled. A team of four coders part of the research group
responsible for the course at the University of Antwerp coded and checked the transcripts, after
which both coding errors and inter-rater reliability were discussed. Disputed codes were
amended until a consensus was reached. The final code book includes the topics and the SRL
tactics students addressed. The topics and tactics have been subdivided using Oxford’s [13]
task-based model, including the strategic forethought phase of self-regulation (i.e., planning,
in which students plan the next steps in their writing or learning trajectory, acculturating, or
students sharing stories, tips and tricks about the academic, cultural, social, psychological and
linguistic challenges they face, and organising, or managing goals, objectives and
requirements), the strategic performance phase (including writing text, where students discuss
the vocabulary, jargon, grammar and structure of their essays, writing arguments, or discussing
reasoning and logic of their text, using resources, where they assess the resources available to
them, social bonding, where they talk about hobbies, free time and leisure, acknowledging,
where they react to the input from others, and discussing and applying feedback, where they
work with the feedback from tutors and peers), or the strategic reflection and evaluation phase
(including reflecting on the course, the tasks and the collaboration with others).
      </p>
      <p>
        Analysis: The frequency of each code contributed by each student was calculated. The R
package Huge was used to apply Gaussianisation (applying a smoothing invertible
transformation to transform the distribution as close to Gaussian as possible) for all variables
to conform with the assumption of normality. We constructed a GGM, i.e. an undirected
network in which continuous variables (elements of SRL in our case) are represented by nodes,
and the strength of partial correlations between the variables is represented by the edges. An
edge between two nodes indicates conditional dependence after controlling for all other nodes
in the network, while the absence of an edge indicates that the two nodes are conditionally
independent after controlling for all other nodes. In particular, a regularised partial correlation
network was estimated using the R! Bootnet package (https://www.r-project.org). LASSO
shrinkage [
        <xref ref-type="bibr" rid="ref14">32, 16</xref>
        ] was applied to all edges, so that the edges with minimal values would be
discarded as well to account for multiple comparison problems (as there is a risk of obtaining
false positive nodes by chance or by overfitting). Such technique has been shown to provide
accurate models with reasonable specificity and sensitivity. The shrinkage was performed
using an Extended Bayesian Information Criterion (EBIC). The package MGM was used to
capture to what extent the value of a node can be predicted by its connections in the network.
The root mean squared error (RMSE) and the proportion of explained variance (R2) are also
reported for each node. The strength and expected influence centrality were calculated using
the bootnet package for all networks. Network stability was computed using a non-parametric
bootstrap method and case dropping procedure for centrality measures. Node accuracy and
stability of centralities were taken into account when reporting on and interpreting the results.
We generated two networks, a network with the grades included to control for the influence of
academic performance on the used SRL tactics, we refer to it as the Grade_network and a
network with only the SRL tactics used to examine the structure of the self-regulated language
learning network, which we refer to as SRL_network.
      </p>
    </sec>
    <sec id="sec-6">
      <title>4. Findings</title>
      <p>The descriptive statistics of the coded interactions show that acknowledging, writing text
and writing arguments are the most frequently employed tactics. Large standard deviations (sd)
show the wide variety in the use of SRL tactics as well as their frequencies (see Table 1).</p>
    </sec>
    <sec id="sec-7">
      <title>The structure of the self-regulation network</title>
      <p>The psychological network of self-regulating behaviour shows that there is a strong
correlation between writing text and social bonding as well as between acknowledging and
social bonding, while there is only a weak correlation between acknowledging and writing text
(Figure 1). By using the principles of the psychological network, this means there is a strong
conditional dependence between writing text and social bonding, and between social bonding
and acknowledging after taking into consideration all other variables in the network. We have
also identified a strong conditional dependence between writing arguments and reflecting,
between writing arguments and acculturating, between organising and acculturating, between
organising and acculturating, and between reflecting and applying feedback. A moderate
correlation was found between writing arguments and using resources, as well as between
using resources and acculturating. Other notable results include observations such as the fact
that applying feedback is only weakly connected to all other relevant tactics, except for
reflecting, and that planning does not seem to have strong connections whatsoever.</p>
      <p>In Figure 1, we can observe the formation of three groups of strongly dependent and,
therefore, connected behaviours: 1. a social group, comprised of social bonding and
acknowledging, supplemented, in part, with writing text 2. a reflective group, comprised of
applying feedback and reflection, and 3. a managing group, comprised of acculturating,
organising and using resources, as well as writing arguments. The pie rings around each node
show how much the node’s connections explain its value. The value of the nodes acculturating,
social bonding and acknowledging, for instance, can be largely explained by their connections.
Most other tactics can be moderately explained by their connections while planning showed
very low predictability in this regard.</p>
      <p>Unlike traditional social networks, the absence of edges in psychological networks signify
conditional independence. In the present data set, there are some tactics which act
independently. Organising, for example, is independent from writing arguments, which is,
more or less, to be expected. More surprising is the fact that planning is independent from
applying feedback, social bonding, using resources and writing arguments. Similarly, writing
text is independent from reflecting, using resources and writing arguments. The centrality
measures (Table 2) offer another window into the interconnectivity of the different tactics in
the self-regulated learning network. Acculturating and acknowledging were the most strongly
connected tactics, followed by social bonding and reflecting. We see that acculturating,
acknowledging and social bonding were the elements with the most expected influence on all
other tactics.</p>
      <p>node</p>
      <p>Strength Expected Influence
node</p>
      <p>
        These results indicate, most notably, that students in our sample chose to discuss
formspecific elements of their writing process separately from the content and argumentation of
their essays. It can also be observed that making plans about which steps to take next does not
naturally find its way into peer discussions here, which might indicate the need for
SRLspecific training in similar CSCL settings in the future [13]. Social bonding seems to form a
bridge between several key tactics in the present sample as it relates to both product-oriented
tactics (such as writing text) and process-oriented tactics (such as organising) (cf. [
        <xref ref-type="bibr" rid="ref7">7</xref>
        ]). Similar
observations can be made for acculturating as this tactic spans between product-oriented tactics
(such as writing arguments and using resources) and process-oriented tactics (such as
organising and reflecting). These observations provide empirical evidence of the importance
of social, informal engagement, on the one hand, and academic acculturation on the other, in
the development of SRL strategies in CSCL settings [
        <xref ref-type="bibr" rid="ref15">33</xref>
        ]. Based on centrality measures,
encouraging such social behaviour may, in turn, boost interaction and collaboration in these
online contexts.
4.2. Does academic achievement influence the structure of self-regulation
network?
      </p>
      <p>The addition of students’ grades as a variable in the network allowed us to estimate the
association between different SRL tactics after controlling for students’ academic performance
(Figure 2). This approach enabled us to investigate if the use of SRL tactics is dependent on
academic performance or not.</p>
      <p>The structure of the Grade_network was fairly similar to the SRL_network where academic
performance was not a variable, with some striking similarities (Table 3). First, we see strong
connections between writing text and social bonding, and social bonding and acknowledging
again. We also see similar trends for acculturating, using resources, organising, reflecting and
applying feedback. Grades were only weakly correlated with writing text, organising and very
weakly with planning and applying feedback. In other words, we can observe that a student’s
grade can hardly be explained by its connections to other variables. The centrality measures of
strength and expected influence are also similar to the self-regulation network. These
similarities indicate that students who score high marks in our sample may have similar
approaches to language learning compared to students with lower marks, yet that they might
apply tactics to a different degree. In other words, most students practice writing text, social
bonding and acknowledging in their collaboration, but might do so more or less frequently,
which might influence their academic success in the end.</p>
      <p>Table 3
Variables and corresponding explained variance for Grade_network and SRL_network</p>
      <p>Variable</p>
    </sec>
    <sec id="sec-8">
      <title>5. Conclusion: The added value of GGM</title>
      <p>In accordance with the first research question, GGM has allowed us to model the complex
interactions and dependencies among different SRL tactics using a robust estimation method
which only takes into account relationships after controlling for all other variables in the
network. This means that every visible link in the network is both significant, independent of
collinearity with other variables and represents a substantial dependence or association
between the nodes (in our case SRL tactics). GGM has also allowed us to verify the network
model using simulation and bootstrapping. Furthermore, the conservative estimation approach
(i.e., regularisation) helps discard insignificant relationships and prevents overfitting, making
the graphs easier to read and interpret. The absence of edges in a GGM helps one understand
the lack of dependence among nodes, which in other methods, cannot be accounted for.
Additionally, the paths between nodes that a GMM can generate, help us understand the
structure of a network and help generate a hypothesis about the structure of the studied
phenomena.</p>
      <p>Answering the second research question, we were able to observe that students’ academic
achievement does not immediately or inherently relate to students’ approaches to self-regulated
language learning in our sample. Other factors such as frequency of use and time spent on
learning might be more influential in this regard, but this should be the subject of further
research.</p>
    </sec>
    <sec id="sec-9">
      <title>6. References</title>
    </sec>
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