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  <front>
    <journal-meta />
    <article-meta>
      <title-group>
        <article-title>Epistemic Beliefs and Open Learner Models</article-title>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author">
          <string-name>Matthew D. Johnson</string-name>
          <xref ref-type="aff" rid="aff1">1</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Peter Reimann</string-name>
          <email>p.reimann@mto.de</email>
          <xref ref-type="aff" rid="aff2">2</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Susan Bull</string-name>
          <email>s.bull@bham.ac.uk</email>
          <xref ref-type="aff" rid="aff1">1</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Nobuko Fujita</string-name>
          <xref ref-type="aff" rid="aff0">0</xref>
        </contrib>
        <aff id="aff0">
          <label>0</label>
          <institution>Center for Applied ICT, Copenhagen Business School</institution>
          ,
          <country country="DK">Denmark</country>
        </aff>
        <aff id="aff1">
          <label>1</label>
          <institution>Electronic, Electrical and Computer Engineering, University of Birmingham</institution>
          ,
          <country country="UK">UK</country>
        </aff>
        <aff id="aff2">
          <label>2</label>
          <institution>MTO Psychologische Forschung und Beratung</institution>
          ,
          <country country="DE">Germany</country>
        </aff>
      </contrib-group>
      <abstract>
        <p>Information on epistemic beliefs has the potential to enrich feedback to students and teachers, through open learner modelling (OLM). We outline existing OLM applications with epistemic content and ways in which more holistic aspects of learning and development (epistemic beliefs, values, identity cognition etc.) may extend OLM for 21st Century learning. We propose three steps to extend epistemic network analysis to provide an OLM which contains epistemic beliefs.</p>
      </abstract>
      <kwd-group>
        <kwd>Open Learner Modelling</kwd>
        <kwd>Epistemic Beliefs</kwd>
      </kwd-group>
    </article-meta>
  </front>
  <body>
    <sec id="sec-1">
      <title>1 Introduction</title>
      <p>
        In adaptive learning environments (ALEs), a learner model (LM) represents student
knowledge, allowing for personalisation and adaptation towards learners and their
current needs [
        <xref ref-type="bibr" rid="ref1">1</xref>
        ]. Traditionally the information in the LM may be read only by the
ALE (i.e. it is closed to the learner it represents.) An open learner model (OLM)
allows learner access to the LM’s content in a meaningful way, for example through a
visual representation of its content, during interaction. OLMs may be presented in a
variety of forms from skill meters and coloured nodes (Fig 1, a,b), through to concept
maps (Fig 1, d), animations and domain specific representations (Fig 1, c) [
        <xref ref-type="bibr" rid="ref2">2</xref>
        ]. Learner
responsibility, awareness and independence in learning are benefits of viewing an
OLM, and metacognitive activities such as self-assessment, planning and reflection
may be promoted [
        <xref ref-type="bibr" rid="ref2 ref3 ref4">2,3,4</xref>
        ].
      </p>
      <p>
        Traditionally the content of the LM may range from core competencies
(knowledge, misconceptions etc. [
        <xref ref-type="bibr" rid="ref5">5</xref>
        ]) to measures of affect (e.g. motivation [
        <xref ref-type="bibr" rid="ref3">3</xref>
        ]). Information
less commonly modelled includes epistemic activities such as argument construction
[
        <xref ref-type="bibr" rid="ref6">6</xref>
        ]. Such activities are highly relevant to learning and may potentially enrich the
learning-based feedback OLMs provide. In this paper we look at the suitability of
including epistemic beliefs in OLMs, and consider methods to capture and display
epistemic information in the OLM context and conclude with a method for doing this.
      </p>
    </sec>
    <sec id="sec-2">
      <title>Epistemic Beliefs in the Context of Open Learner Models</title>
      <p>
        Learning is not restricted to mastering concepts, procedures or specific skills, but
includes the “ability to think, act and interact with others in productive ways to solve
complex tasks” [
        <xref ref-type="bibr" rid="ref7">7</xref>
        ]. Epistemic beliefs help address this point and can be considered as
those an individual holds about the nature of knowledge, and ‘knowing information’.
Epistemic beliefs focus on the systematic linking of knowledge and the justification
of understanding using evidence or prior understanding [
        <xref ref-type="bibr" rid="ref8">8</xref>
        ].
      </p>
      <p>
        In the case of the epistemic activity of argument construction this can be
summarised formally by Toulmin’s [
        <xref ref-type="bibr" rid="ref9">9</xref>
        ] argumentation structure. OLMs such as xOLM [
        <xref ref-type="bibr" rid="ref3">3</xref>
        ]
use this structure to formally reason about student understanding, although these
beliefs belong to the system rather than being the epistemic beliefs of the student. The
OLM presentation is highly visual, presents links between evidence and makes
predictions about student ability. Warrants that justify claims are important to establish
their legitimacy. OLMs such as STyLE-OLM [
        <xref ref-type="bibr" rid="ref5">5</xref>
        ] allow joint construction of the LM,
requiring learners to justify beliefs, and in doing so the OLM may foster reflective
thinking in students, through negotiation. Again, representations are highly visual and
links are forged between beliefs. Relationships modelled are epistemic in nature and
show the systematic linking of low-level information. This is similar in concept
mapping. In Flexi-OLM [
        <xref ref-type="bibr" rid="ref4">4</xref>
        ] learners constructed their own OLM presentations by linking
concepts. Relationships specified included formal relationships, information related to
planning learning, and information to aid future knowledge acquisition. In such
activities, labels on links between information are important for developing epistemological
understanding. These examples show that existing OLMs have the potential to capture
and model epistemic information. Future challenges include scaling up the domain
content, increasing the epistemic information quality, visualising greater volumes of
epistemic beliefs, and inferring epistemic beliefs not explicitly stated by the learner.
      </p>
      <p>Stoeger [10] highlights the potential for creating a LM composed of epistemic
beliefs and proposes a non-computer based learner model, constructed from fixed
questionnaire items (e.g. “The manner in which I learn [maths] will never change”). Using
the model, composed of three principal facets (epistemic inclination, epistemic
acquisition and knowledge characteristics), he demonstrates epistemic beliefs are effective
predictors of ability and more accurate than IQ tests. Extending OLMs to include
these facets provides a starting point for more formally modelling epistemic beliefs.</p>
      <p>
        In the context of 21st Century learning, epistemic beliefs may not be solely about
knowledge and its acquisition, but of wider social/cultural experience, values and
practices [
        <xref ref-type="bibr" rid="ref7">7</xref>
        ] – potentially, a community of practice. For example, epistemic games
encourage learners to use concepts/ procedures in activities to learn what it is to think
and act as a member of a specific profession (e.g., journalist) [
        <xref ref-type="bibr" rid="ref7">7</xref>
        ]. The professional
competence is modelled as an epistemic frame containing inter-related skills,
knowledge, identity conceptions, values and epistemological beliefs [
        <xref ref-type="bibr" rid="ref10">11</xref>
        ]. The
classroom/home setting constitutes itself a community of practice, albeit a
‘nonprofessionally based’ one; arguably OLMs could also model student identity
conceptions, values and epistemic beliefs – by being extended to encompass rich, contextual
‘epistemic frame’ inferences. Epistemic network analysis (ENA) [
        <xref ref-type="bibr" rid="ref10">11</xref>
        ] is used to
model and display epistemic frame information, and the extent to which students
internalise its attributes. Using graphs and network diagrams the model is visualised
(in ways similar to Fig 1e), and changes over time may be discerned. OLMs could be
extended to include ENA-type information, and so give feedback to students and
teachers in real time regarding how they resemble epistemic frames of experienced
members of the community of practice. The LM incorporates process and product
data, and the OLM reveals this information to the student. This makes explicit,
normally tacit metacognitive processes that experts participate in to engage students in
21st century learning. In alignment with the initial aims of OLMs, this may help with
short and long term planning, in addition to being a source to promote reflection. This
extends the benefits of OLMs to permit the acquisition of 21st Century skills (e.g.
collaboration [
        <xref ref-type="bibr" rid="ref6">6</xref>
        ], leadership [
        <xref ref-type="bibr" rid="ref7">7</xref>
        ], critical thinking [
        <xref ref-type="bibr" rid="ref10">11</xref>
        ]), through inspection of
epistemologically based information. These skills, often labelled “soft skills”, are
recognised as key to innovation. They make the process of knowledge building accessible
to all, permitting the development of new ideas that are of value to others in a
community. Students can build knowledge relative to their current level of understanding
through acculturation to the wider social/cultural practices of a community and
experience more meaningful learning.
      </p>
      <p>Thus: existing OLMs have the potential to encompass epistemic information within
current technologies; techniques exist as a starting point for modelling learners’
epistemic beliefs; and through considering the wider context provided by an epistemic
frame, OLMs can be extended to support the acquisition of 21st Century skills.</p>
    </sec>
    <sec id="sec-3">
      <title>3 Realising Epistemic Open Learner Model Content</title>
      <p>
        Epistemic information may typically originate from two sources: process data (people
interaction, whether between learners, a teacher or a non-learner) and product data
(tangible outcomes/artefacts, e.g. from learning activities) [
        <xref ref-type="bibr" rid="ref7">7</xref>
        ]. For OLMs, epistemic
beliefs could explicitly result from educational activities (e.g. writing reflective prose
[
        <xref ref-type="bibr" rid="ref10">11</xref>
        ], concept mapping [
        <xref ref-type="bibr" rid="ref4">4</xref>
        ] or negotiation [
        <xref ref-type="bibr" rid="ref5">5</xref>
        ]), or OLMs may be extended to
encompass other, more informal, sources (e.g. teacher observation, chat logs etc.). It is
important to acknowledge that epistemic information may be latent and affected by other
measurable attributes [
        <xref ref-type="bibr" rid="ref7">7</xref>
        ] as a result of learners systematically linking information
[
        <xref ref-type="bibr" rid="ref10">11</xref>
        ], and that strong relations exist between epistemological facets. Information is
often modelled to a course level of granularity for precisely this reason [
        <xref ref-type="bibr" rid="ref10">11</xref>
        ].
      </p>
      <p>
        OLM based epistemic information, originating in the classroom or home, has
practical benefits for students, teachers and parents alike. Independent from technology,
teachers and parents can use the information to scaffold students’ learning and further
21st Century skills that mainstream classroom technologies do not necessarily
promote. Teachers and parents may draw on their own personal experience to support
students in developing aspects of these skills, using the epistemic OLM information.
Furthermore, teachers’ feedback to students often draws on in-depth knowledge of
local circumstances and general context [
        <xref ref-type="bibr" rid="ref11">13</xref>
        ]. Epistemic OLM information could
specify the context in which to interpret core abilities (knowledge, misconceptions
etc.) and visualise pedagogically-based information. This may allow the prediction of
future behaviour, its evolution over time and inter-student relationships or belief
networks that exist; these are useful tools for designing educational interaction.
      </p>
      <p>Our research project makes advances in three steps to realise the vision that OLMs
for 21st Century learning may include more holistic aspects of learning and
development. These include epistemic beliefs, values, and identity cognitions, in addition to
'classic' KSAs (knowledge, skills and aptitudes).</p>
      <p>
        The first step is towards automating ENA [
        <xref ref-type="bibr" rid="ref10">11</xref>
        ], which has so far been realised by
employing human coders. The construction of the basic data table, required to analyse
inter-frame development, will be automated by graph-theoretical means: the list of
time slices together with the frequencies of frame elements. In our approach we will
apply natural language processing techniques to extract concepts, relationships and
sentiments, and will use machine learning techniques to build classifiers (e.g. Support
Vector Machines). These techniques rely heavily on corpus data that is obtained when
human ‘raters’ perform content analysis in order to code student-produced materials
(mainly students’ writing documents) in terms of the epistemic frame dimensions.
This content analysis (valuable in its own right to answer research questions) will then
yield the data required to train the automatic classification method.
      </p>
      <p>In the second step we will automate the analysis of the adjacency matrices that can
be built from the basic data table. This will require respective software to be written
and/or to reuse existing implementations of graph algorithms, such as the ones used
for social network analysis.</p>
      <p>Our third step will visualise the information contained in adjacency matrices as
well as plotting graph theoretical parameters (such as centrality, density, etc.) over
time. In addition to writing the respective software, this requires research into the
graphical interface provided to the users. As stated above, existing OLM presentations
containing epistemic information are highly visual (links between information,
coloured nodes etc.) and network diagrams/graphs are appropriate methods for
representing epistemic information, with an emphasis on clarity. This is our starting point for
visualisation, and the OLM may be extended to include more emerging techniques
(e.g. tag clouds, timelines or sparklines [12]), which also allow collaborative activity
content to be represented.</p>
      <p>In summary: appropriate information sources exist to build on the capabilities of
OLMs highlighted in Section 2, and extend epistemic information in alignment with
current student and teacher practices; secondly, we have highlighted that epistemic
OLM information may have the potential to support human-based scaffolding of
students’ 21st Century skill development; finally, we have outlined three steps towards
an OLM for 21st Century learning that can include more holistic aspects of learning
development.</p>
    </sec>
    <sec id="sec-4">
      <title>4 Summary</title>
      <p>Existing OLMs include activities that are appropriate to formally model epistemic
beliefs. By capturing aspects of process (people interaction) and product (learning
artefact) data, epistemic OLM information may be modelled and presented in a highly
visual manner. This has the potential to extend the state-of-the art to allow OLMs to
support students, teachers and parents in their respective roles, and to further students’
development of epistemic practices and 21st Century skills (e.g. collaboration, critical
thinking). In our work, we will extend approaches developed in former OLM research
to model and visualise epistemic activities and beliefs, and we will extend ENA in
three steps so that it can be applied to the assessment of school-relevant 21st century
learning.</p>
      <p>Acknowledgments. This project is supported by the European Community (EC)
under the Information Society Technologies (IST) priority of the 7th Framework
Programme for R&amp;D under contract number 258114 NEXT-TELL. This document does
not represent the opinion of the EC, and the EC is not responsible for any use that
might be made of its content.</p>
    </sec>
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