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  <front>
    <journal-meta />
    <article-meta>
      <title-group>
        <article-title>Exploring Feedback Interactions in Online Learning Environments for Secondary Education</article-title>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author">
          <string-name>Cecilia Aguerrebere</string-name>
          <email>caguerrebere@ceibal.edu.uy</email>
          <xref ref-type="aff" rid="aff1">1</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Sof a Garc a Cabeza</string-name>
          <email>sgarcia@ceibal.edu.uy</email>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Gabriela Kaplan</string-name>
          <email>gkaplan@ceibal.edu.uy</email>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Cecilia Marconi</string-name>
          <email>cmarconi@ceibal.edu.uy</email>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Cristobal Cobo</string-name>
          <email>ccobo@ceibal.edu.uy</email>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Monica Bulger</string-name>
          <xref ref-type="aff" rid="aff0">0</xref>
        </contrib>
        <aff id="aff0">
          <label>0</label>
          <institution>Data &amp; Society Research Institute 36 W 20th St</institution>
          ,
          <addr-line>New York, NY 10011</addr-line>
          ,
          <country country="US">United States</country>
        </aff>
        <aff id="aff1">
          <label>1</label>
          <institution>Plan Ceibal</institution>
          ,
          <addr-line>Avenida Italia 6201, 11500 Montevideo</addr-line>
          ,
          <country country="UY">Uruguay</country>
        </aff>
      </contrib-group>
      <abstract>
        <p>For decades, teacher feedback has been found to signi cantly impact student learning. In recent years, research focus has shifted from trying to assess whether feedback is e ective to determining whether and how it can be improved. Because of the complexity of the feedback process, the answer to this question is deeply dependent on several factors, such as the learning environment. The goal of this work is to study the feedback process in an online learning environment, in a secondary education setting of learning English as a second language. Using natural language processing techniques we propose to analyze the teacherstudent interactions to identify the di erent types of feedback observed in this learning context, as well as to gain insights on the most e ective strategies to improve the students' engagement with the learning process. This article presents the preliminary results of this on-going research.</p>
      </abstract>
    </article-meta>
  </front>
  <body>
    <sec id="sec-1">
      <title>-</title>
      <p>
        As the eld of online learning matures, it is now possible to measure key aspects
of successful learning and instruction, and to do so at a large scale. For decades,
teacher feedback has been found to signi cantly impact student learning [Brophy
and Good, 1970, Dwe
        <xref ref-type="bibr" rid="ref7">ck, 2002</xref>
        , Hattie and Timperley, 2007]. In recent years,
research focus has shifted from trying to assess whether feedback is e ective to
determining whether and how it can be improved [Van der K
        <xref ref-type="bibr" rid="ref9">leij et al., 2015</xref>
        ].
Because of the complexity of the feedback process, the answer to this question
is deeply dependent on factors such as context, learning environment, type and
timing of feedback and the task being performed.
      </p>
      <p>
        The goal of this work is to study the feedback process in an online learning
environment, in a secondary education setting of learning English as a second
language (ESL). Online learning adoption has witnessed a staggering increase in
the last decades, and countless online platforms o er second language learning
services. This has motivated several studies on feedback interactions under these
settings, which helped gain insight into the feedback process but also raised new
que
        <xref ref-type="bibr" rid="ref6">stions [Conrad and Dabbagh, 2015</xref>
        , Van der K
        <xref ref-type="bibr" rid="ref9">leij et al., 2015</xref>
        ].
      </p>
      <p>
        The educational setting to be studied is part of an educational program led by
Plan Ceibal3, an ambitious country-wide one-to-one laptop program deployed in
Uruguay. Since 2007, Uruguay has provided Internet access and a laptop to every
child and teacher in K-12 public education (about 85% of the student population
in the country). Unlike any large-scale laptop progra
        <xref ref-type="bibr" rid="ref1">m to date [Ames, 2016</xref>
        ], it
continues to grow and expand its scope. A key part of its success is that the
program evolved from its initial goal of reducing the digital divide to providing
a wide range of educational digital tools and developing educational programs.
      </p>
      <p>
        The central research questions of this work are: What are the most relevant
types of feedback observed in this online learning context? What feedback
characteristics are associated with an increased engagement of the students with the
learning activity? Moreover, we are interested in studying how arti cial
intelligence, more precisely natural language processing (NLP) techniques, can be
used to learn the relevant types of feedback, considering aspects such as: the
task being performed, the feedback comments content, the timing of feedback,
the nature of communication ows and students' task-speci c motivation. By
answering these questions, we hope to contribute to the better understanding of
the e ectiveness of the feedback process in general, and to that of online learning
in particular. Moreover, this research is particularly relevant because it concerns
secondary education settings, which are seldom studied and present a profound
need for further re
        <xref ref-type="bibr" rid="ref6">search [Van der Kleij et al., 2015</xref>
        ]. Furthermore, this research
is timely as more online learning environments that include variable quality of
feedback are being developed and adopted in secondary educational settings.
      </p>
      <p>This article presents the preliminary results of this on-going research. It is
organized as follows. Section 2 summarizes the previous work. Section 3 describes
the learning environment where the study is conducted. Sections 4 and 5
introduce the methodology and preliminary results respectively. Conclusions and
future work are presented in Section 6.
2</p>
    </sec>
    <sec id="sec-2">
      <title>Previous Work</title>
      <p>
        Feedback in educational settings is a highly active research area. Various
metaanaly
        <xref ref-type="bibr" rid="ref6">ses [Van der Kleij et al., 2015</xref>
        ], including the seminal work by Hattie &amp;
Timperley [Hattie and Timperley, 2007], show that feedback can be provided
e ectively, but it is dependent on sever
        <xref ref-type="bibr" rid="ref11">al factors. [Havnes et al., 2012</xref>
        ] found
that feedback is more e ective if it has a direct use (e.g. correct the task). In a
meta-analy
        <xref ref-type="bibr" rid="ref6">sis [Van der Kleij et al., 2015</xref>
        ] on the e ects of feedback in computer
based learning environments, elaborated feedback signi cantly improved higher
order learning outcomes. Di erent feedback classi cations have been proposed
in the literature. [Hattie and Timperley, 2007] classify feedback in terms of task
completion, process, teacher regulation of task, and self. [Shute, 2008] focuses
classi cation on whether the feedback serves to acknowledge the correctness of
3 https://www.ceibal.edu.uy/en/institucional
an answer or provides more elaborated
        <xref ref-type="bibr" rid="ref4">guidance. [Brown et al., 2012</xref>
        ] classify
feedback based on the teachers objectives: to improve learning, to report and
compliance, or to motivate student
        <xref ref-type="bibr" rid="ref6">s. To [Van der Kleij et al., 2015</xref>
        ], expressing
praise for the student did not improve the learning outcomes, but improved the
students' motivation and perseverance. [Van der K
        <xref ref-type="bibr" rid="ref9">leij et al., 2015</xref>
        ] recommend
that future research take into account the precise characteristics of feedback, the
task, the learning context and the learners when assessing feedback e ectiveness,
particularly for secondary education settings.
      </p>
      <p>
        To be e ective, feedback needs to be processed mindfully, especially in online
environments where students can easily ignore written feedba
        <xref ref-type="bibr" rid="ref15">ck [Timmers and
Veldkamp, 2011</xref>
        ]. Regarding feedback timing, a meta-analy
        <xref ref-type="bibr" rid="ref6">sis by [Van der Kleij
et al., 2015</xref>
        ] found that students spent more time reading immediate feedback
and that immediate feedback related to improved learning outcomes.
      </p>
      <p>
        A majority of research on feedback has occurred in higher edu
        <xref ref-type="bibr" rid="ref8">cation
settings, [Evans, 2013</xref>
        , Van der K
        <xref ref-type="bibr" rid="ref9">leij et al., 2015</xref>
        ], leaving unanswered questions
about its e ectiveness in secondary educational settings, even as its practice
expands. Prior research focuses on categorizing teachers' strategies for providing
feedback in
        <xref ref-type="bibr" rid="ref6">secondary schools [MacDonald, 2015</xref>
        ], student-generated feedback in
K-12 [Harri
        <xref ref-type="bibr" rid="ref6">s et al., 2015</xref>
        ], the e ects of expectancy-incongruent feedback on task
performan
        <xref ref-type="bibr" rid="ref2">ce [Baadte and Kurenbach, 2017</xref>
        ], among other more general
exa
        <xref ref-type="bibr" rid="ref5">mples [Oinas et al., 2017</xref>
        ].
3
      </p>
    </sec>
    <sec id="sec-3">
      <title>Learning Environment</title>
      <p>sun
sun</p>
      <p>The Beatles were
a rock band formed
in Liverpool.</p>
      <p>I love The Beatles.</p>
      <p>My favourite song is Help!</p>
      <p>re ter
Great work!
Do you like The Beatles?</p>
      <p>Which is your favourite song?</p>
      <p>This study will be conducted in the context of one of Plan Ceibal's
educational programs for ESL teaching, the Tutorials for Di erentiated Learning
(TDL). The TDL are a series of resources and exercises for ESL learning, with
varying complexity, created to support secondary school students by proposing
activities tailored to their needs. The TDL are available online, through a
Learning Management System (LMS), and students are encouraged to explore and
complete exercises at their own pace. A remote teacher (RT) provides
individualized feedback to students by posting comments on the LMS. The student-RT
interactions under consideration follow the pattern: 1) the student posts a
comment as a response to an exercise; 2) the RT posts a comment giving feedback
to the student; 3) the conversation may or may not continue between the
student and the RT. All conversations include at least two comments, the student's
comment initiating the conversation and the teacher's reply, and in the best case
scenario they include subsequent interactions. All interactions occur in
discussion forums public to the class within the LMS. Figure 1 illustrates an example
of these interactions.
4</p>
    </sec>
    <sec id="sec-4">
      <title>Methodology</title>
      <p>We propose to use NLP techniques to analyze the student-RT interactions, to
identify the di erent types of feedback observed in this learning context, as well
as to gain insights on the most e ective strategies to improve the students'
engagement with the learning process. For this purpose, each comment is mapped
into a vector of features, composed of numerical and categorical variables,
designed to represent relevant aspects of the feedback interaction. The proposed
features are listed in Table 1. Two types of features can be di erentiated: those
depending on the teacher only (e.g., timeToResp, complexity, asksQuestion) and
those dependent on other factors (e.g., likes, origStResp, threadLength). The
former are of particular interest as they can be used to infer recommendations of
teacher's actions associated with desired results.</p>
      <p>
        The dataset under consideration includes 5073 comments posted by 20
teachers, from interactions with 520 students organized in 41 groups. Each comment
includes: the comment content (text), the timestamp and the number of likes
re
        <xref ref-type="bibr" rid="ref2">ceived, corresponding to the 2017</xref>
        edition of the TDL program.
5
      </p>
    </sec>
    <sec id="sec-5">
      <title>Preliminary Results</title>
      <p>We present here a summary of the results obtained in a preliminary analysis of
the dataset under consideration.
5.1</p>
      <sec id="sec-5-1">
        <title>General dataset description</title>
      </sec>
      <sec id="sec-5-2">
        <title>Principal Component Analysis</title>
        <p>
          Principal component analysis (PCA) for mixed type data [
          <xref ref-type="bibr" rid="ref2">Chavent et al., 2017</xref>
          ] is
used to jointly study the numerical and categorical features. Numerical features
are normalized to have zero mean and unitary standard deviation. Figure 3 shows
the cumulative percentage of variance explained by the eigenvalues. Ten out of
the original 13 components are needed to cover 90% of the samples variance,
indicating that a large dimensionality reduction is not possible. Note that the
feature onlyEmoticon is not considered as none of the comments in the dataset
corresponded to emoticons only.
        </p>
        <p>
          Figure 3 shows the correlation circle (correlation of each variable with the
rst two principal components) and the levels map (gives an idea of the pattern of
proximities between the levels of di erent categorical variables) [
          <xref ref-type="bibr" rid="ref2">Chavent et al.,
2017</xref>
          ]. The comment length is negatively correlated to the sentiment variable, as
well as to the total number of comments done by the teacher, suggesting that
teachers who post many comments tend to write shorter ones. These variables
di erentiate the comments in the rst PCA component. The thread length is
negatively correlated with the response time, suggesting that the chances of
engaging the student in a conversation decreases as the teacher takes longer to
respond. Longer conversation threads are associated with more likes, as well as
with higher actionability and complexity although to a lesser degree. The levels
map shows that comments without emoticon, that don't share a link and don't
ask questions are more associated with no response from the student.
        </p>
        <p>A PCA analysis was conducted on teacher-dependent variables only (c.f.
Section 4). Figure 4 shows the rst two principal components of all comments,
where the color in the top gure indicates whether the teacher's comment
received a student's response (green) or not (red), whereas in the bottom gure it
indicates the conversation length. The origStResp and threadLength variables
were not used to build the PCA projection in this case. It can be observed that
the rst two PCA dimensions are not enough to predict the conversations length
or whether the student continued the conversation or not.
The features de ned in Section 4 will be used to characterize the feedback types
observed in the TDL program. Because one of the goals of the program is to
foster the student's integration in the English culture, an interaction
studentRT is considered successful if, among other factors, it gets the student involved in
a conversation. Hence, we would like the proposed features to be informative of
whether a given feedback comment will originate a student response or not, and
even further, to be predictive of the length of the conversation thread. In order to
assess this, the de ned features are used to train a classi er and predict whether
the student will reply to the RT feedback comment or not. If the de ned features
are informative of the probability of a student following the conversation, this
classi er will perform better than chance.</p>
        <p>Experimental setup Three classi cation strategies are considered: decision
trees, random forests and boosting trees. Decision trees are widely used because
they are simple and easy to interpret. However, they are known to be
outperformed by their counterparts which combine several trees: random forests and
boosting trees. The latter increase performance at the cost of reduced
interpretation. Nevertheless, they have variable importance de nitions that shed light
into the most relevant variables for classi cation, thus helping understand the
latent phenomenon.</p>
        <p>The three classi ers are trained to predict whether the student will continue
the conversation or not (i.e., the feature origStResp) using the features that
depend solely on the teacher (timeToResp, sent len, actionability, sentiments,
complexity, specificity, hasLink, hasEmoticon and asksQuestion).</p>
        <p>The dataset is divided into a training and a testing subset, used to train
and evaluate the algorithms respectively. The division is performed by randomly
sampling the teachers, so as to ensure that the samples in the training and testing
datasets are independent.</p>
        <p>Two outliers are identi ed in the dataset: a student who posted 234 comments
in a group with almost no activity (only two other students in his group posted
29 and 12 comments), and a group of 21 students who posted 1494 comments in
total, with a median of 69 comments per student. Hence, we study classi cation
performance using the complete dataset, the dataset removing the outliers, and
also the behavior of the active group alone.</p>
        <p>Results Table 2 summarizes the classi cation performance of the three
evaluated approaches, measured by the area under the ROC curve (AUC), the
true positive rate (TPR) and false positive rate (FPR), in each of the
studied datasets. In all the tested con gurations, the classi ers performance is above
chance (TPR=0.5, FPR=0.5), showing the predictive power of the proposed
features. The AUC results are not reported for the decision trees case because
the implementation under consideration only reported the assigned labels (as
opposed to the probability of belonging to each class required to build the ROC
curve).
Decision trees: Despite performing better than chance, the variance of the
decision trees obtained for di erent realizations of the training set is very large. In
the case of the complete dataset the asksQuestion and timeToResp variables
are the most important ones, whereas when removing outliers other variables
also turn up as relevant (see Figure 5). Performance highly improves for the
active group evaluation.</p>
        <p>Random forests: Perform much better than decision trees. The timeToResp and
asksQuestion features are always among the most relevant features.</p>
        <p>Boosting trees: Is the most stable of all tested alternatives, always with similar
performance and most important variables, among which we nd timeToResp,
specificity, and sentiments.
6</p>
      </sec>
    </sec>
    <sec id="sec-6">
      <title>Conclusions and Future Work</title>
      <p>In this article, we presented the main ideas and preliminary results of an
ongoing work to study feedback interactions in an online learning environment
for secondary education. Despite exploratory, the rst results already show the
power of the proposed features to represent relevant aspects of the educational
program, such as the probability of engaging the student in the conversation.
This particular point is essential, as getting the student to continue the
discussion with the RT encourages him to practise further. Classical machine learning
classi ers show very good performance for student's response prediction with
the de ned features. The most relevant features vary with the approach, but the
time the teacher takes to respond and whether he asks a question to the student
are important variables for all methods. Longer response times are associated
with no response from the student, thus ending the conversation with just one
interaction. On the other hand, an important factor to increase the probability
of engaging the student in the conversation is asking a question.</p>
      <p>As future work, we will continue the exploration of the association of the
de ned features with students' behavioral aspects that are relevant for the TDL
program. In addition to the students' response rate already analyzed, possible
options could be the frequency of the students interaction with the TDL material
(i.e., sporadic versus frequent) and the diversity of material consulted (i.e., how
many di erent topics were consulted by the student). We hope this analysis will
shed light into the given feedback process and guide the characterization of the
di erent existing feedback interactions.</p>
    </sec>
  </body>
  <back>
    <ref-list>
      <ref id="ref1">
        <mixed-citation>
          <string-name>
            <given-names>M. G.</given-names>
            <surname>Ames</surname>
          </string-name>
          .
          <article-title>Learning consumption: Media, literacy, and the legacy of one laptop per child</article-title>
          .
          <source>The Inform. Soc.</source>
          ,
          <volume>32</volume>
          (
          <issue>2</issue>
          ):
          <volume>85</volume>
          {
          <fpage>97</fpage>
          ,
          <year>2016</year>
          .
        </mixed-citation>
      </ref>
      <ref id="ref2">
        <mixed-citation>
          <string-name>
            <given-names>C.</given-names>
            <surname>Baadte</surname>
          </string-name>
          and
          <string-name>
            <given-names>F.</given-names>
            <surname>Kurenbach</surname>
          </string-name>
          .
          <article-title>The e ects of expectancy-incongruent feedback and self-a rmation on task performance of secondary school students</article-title>
          .
          <source>Eur. J. Psychol</source>
          . Educ.,
          <volume>32</volume>
          (
          <issue>1</issue>
          ):
          <volume>113</volume>
          {
          <fpage>131</fpage>
          ,
          <year>2017</year>
          .
        </mixed-citation>
      </ref>
      <ref id="ref3">
        <mixed-citation>
          <string-name>
            <given-names>J. E.</given-names>
            <surname>Brophy</surname>
          </string-name>
          and
          <string-name>
            <given-names>T. L.</given-names>
            <surname>Good</surname>
          </string-name>
          .
          <article-title>Teachers' communication of di erential expectations for children's classroom performance: Some behavioral data</article-title>
          .
          <source>J. Educ. Psychol</source>
          .,
          <volume>61</volume>
          (
          <issue>5</issue>
          ):
          <fpage>365</fpage>
          ,
          <year>1970</year>
          .
        </mixed-citation>
      </ref>
      <ref id="ref4">
        <mixed-citation>
          <string-name>
            <surname>G. T. Brown</surname>
            ,
            <given-names>L. R.</given-names>
          </string-name>
          <string-name>
            <surname>Harris</surname>
            , and
            <given-names>J.</given-names>
          </string-name>
          <string-name>
            <surname>Harnett</surname>
          </string-name>
          .
          <article-title>Teacher beliefs about feedback within an assessment for learning environment: Endorsement of improved learning over student well-being</article-title>
          .
          <source>Teach. and Teach</source>
          . Educ.,
          <volume>28</volume>
          (
          <issue>7</issue>
          ):
          <volume>968</volume>
          {
          <fpage>978</fpage>
          ,
          <year>2012</year>
          .
        </mixed-citation>
      </ref>
      <ref id="ref5">
        <mixed-citation>
          <string-name>
            <given-names>M.</given-names>
            <surname>Chavent</surname>
          </string-name>
          ,
          <string-name>
            <given-names>V.</given-names>
            <surname>Kuentz-Simonet</surname>
          </string-name>
          ,
          <string-name>
            <given-names>A.</given-names>
            <surname>Labenne</surname>
          </string-name>
          , and
          <string-name>
            <given-names>J.</given-names>
            <surname>Saracco</surname>
          </string-name>
          .
          <article-title>Multivariate analysis of mixed data: The r package pcamixdata</article-title>
          .
          <year>2017</year>
          .
        </mixed-citation>
      </ref>
      <ref id="ref6">
        <mixed-citation>
          <string-name>
            <given-names>S. S.</given-names>
            <surname>Conrad</surname>
          </string-name>
          and
          <string-name>
            <given-names>N.</given-names>
            <surname>Dabbagh</surname>
          </string-name>
          .
          <article-title>Examining the factors that in uence how instructors provide feedback in online learning environments</article-title>
          .
          <source>International Journal of Online Pedagogy and Course Design</source>
          ,
          <volume>5</volume>
          (
          <issue>4</issue>
          ):
          <volume>47</volume>
          {
          <fpage>66</fpage>
          ,
          <year>2015</year>
          .
        </mixed-citation>
      </ref>
      <ref id="ref7">
        <mixed-citation>
          <string-name>
            <given-names>C. S.</given-names>
            <surname>Dweck</surname>
          </string-name>
          .
          <article-title>Messages that motivate: How praise molds students' beliefs, motivation, and performance (in surprising ways</article-title>
          ).
          <year>2002</year>
          .
        </mixed-citation>
      </ref>
      <ref id="ref8">
        <mixed-citation>
          <string-name>
            <given-names>C.</given-names>
            <surname>Evans</surname>
          </string-name>
          .
          <article-title>Making sense of assessment feedback in higher education</article-title>
          .
          <source>Rev. Educ. Res.</source>
          ,
          <volume>83</volume>
          (
          <issue>1</issue>
          ):
          <volume>70</volume>
          {
          <fpage>120</fpage>
          ,
          <year>2013</year>
          .
        </mixed-citation>
      </ref>
      <ref id="ref9">
        <mixed-citation>
          <string-name>
            <given-names>L. R.</given-names>
            <surname>Harris</surname>
          </string-name>
          , G. T. Brown, and
          <string-name>
            <given-names>J. A.</given-names>
            <surname>Harnett</surname>
          </string-name>
          .
          <article-title>Analysis of new zealand primary and secondary student peer-and self-assessment comments: Applying hattie and timperleys feedback model</article-title>
          .
          <source>Assessment in Education: Principles, Policy &amp; Practice</source>
          ,
          <volume>22</volume>
          (
          <issue>2</issue>
          ):
          <volume>265</volume>
          {
          <fpage>281</fpage>
          ,
          <year>2015</year>
          .
        </mixed-citation>
      </ref>
      <ref id="ref10">
        <mixed-citation>
          <string-name>
            <given-names>J.</given-names>
            <surname>Hattie</surname>
          </string-name>
          and
          <string-name>
            <given-names>H.</given-names>
            <surname>Timperley</surname>
          </string-name>
          .
          <article-title>The power of feedback</article-title>
          .
          <source>Rev. Educ. Res.</source>
          ,
          <volume>77</volume>
          (
          <issue>1</issue>
          ):
          <volume>81</volume>
          {
          <fpage>112</fpage>
          ,
          <year>2007</year>
          .
        </mixed-citation>
      </ref>
      <ref id="ref11">
        <mixed-citation>
          <string-name>
            <given-names>A.</given-names>
            <surname>Havnes</surname>
          </string-name>
          ,
          <string-name>
            <given-names>K.</given-names>
            <surname>Smith</surname>
          </string-name>
          ,
          <string-name>
            <given-names>O.</given-names>
            <surname>Dysthe</surname>
          </string-name>
          , and
          <string-name>
            <given-names>K.</given-names>
            <surname>Ludvigsen</surname>
          </string-name>
          .
          <article-title>Formative assessment and feedback: Making learning visible</article-title>
          .
          <source>Stud</source>
          . Educ. Eval.,
          <volume>38</volume>
          (
          <issue>1</issue>
          ):
          <volume>21</volume>
          {
          <fpage>27</fpage>
          ,
          <year>2012</year>
          .
        </mixed-citation>
      </ref>
      <ref id="ref12">
        <mixed-citation>
          <string-name>
            <surname>V. A. MacDonald.</surname>
          </string-name>
          <article-title>The application of feedback in secondary school classrooms: Teaching and learning in applied level mathematics</article-title>
          .
          <source>PhD thesis</source>
          , University of Toronto (Canada),
          <year>2015</year>
          .
        </mixed-citation>
      </ref>
      <ref id="ref13">
        <mixed-citation>
          <string-name>
            <given-names>S.</given-names>
            <surname>Oinas</surname>
          </string-name>
          ,
          <string-name>
            <given-names>M.-P.</given-names>
            <surname>Vainikainen</surname>
          </string-name>
          , and
          <string-name>
            <given-names>R.</given-names>
            <surname>Hotulainen</surname>
          </string-name>
          .
          <article-title>Technology-enhanced feedback for pupils and parents in nnish basic education</article-title>
          .
          <source>Computers &amp; Education</source>
          ,
          <volume>108</volume>
          :
          <fpage>59</fpage>
          {
          <fpage>70</fpage>
          ,
          <year>2017</year>
          .
        </mixed-citation>
      </ref>
      <ref id="ref14">
        <mixed-citation>
          <string-name>
            <surname>V. J. Shute.</surname>
          </string-name>
          <article-title>Focus on formative feedback</article-title>
          .
          <source>Rev. Educ. Res.</source>
          ,
          <volume>78</volume>
          (
          <issue>1</issue>
          ):
          <volume>153</volume>
          {
          <fpage>189</fpage>
          ,
          <year>2008</year>
          .
        </mixed-citation>
      </ref>
      <ref id="ref15">
        <mixed-citation>
          <string-name>
            <given-names>C.</given-names>
            <surname>Timmers</surname>
          </string-name>
          and
          <string-name>
            <given-names>B.</given-names>
            <surname>Veldkamp</surname>
          </string-name>
          .
          <article-title>Attention paid to feedback provided by a computer-based assessment for learning on information literacy</article-title>
          .
          <source>Computers &amp; Education</source>
          ,
          <volume>56</volume>
          (
          <issue>3</issue>
          ):
          <volume>923</volume>
          {
          <fpage>930</fpage>
          ,
          <year>2011</year>
          .
        </mixed-citation>
      </ref>
      <ref id="ref16">
        <mixed-citation>
          <string-name>
            <surname>F. M. Van der Kleij</surname>
            , R. C. Feskens, and
            <given-names>T. J.</given-names>
          </string-name>
          <string-name>
            <surname>Eggen</surname>
          </string-name>
          .
          <article-title>E ects of feedback in a computer-based learning environment on students learning outcomes: A metaanalysis</article-title>
          .
          <source>Rev. Educ. Res.</source>
          ,
          <volume>85</volume>
          (
          <issue>4</issue>
          ):
          <volume>475</volume>
          {
          <fpage>511</fpage>
          ,
          <year>2015</year>
          .
        </mixed-citation>
      </ref>
    </ref-list>
  </back>
</article>