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  <front>
    <journal-meta>
      <journal-title-group>
        <journal-title>September</journal-title>
      </journal-title-group>
    </journal-meta>
    <article-meta>
      <title-group>
        <article-title>Semantically annotated learning paths</article-title>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author">
          <string-name>Charline Unternährer</string-name>
          <xref ref-type="aff" rid="aff0">0</xref>
          <xref ref-type="aff" rid="aff1">1</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Knut Hinkelmann</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>Sandra Schlick</string-name>
          <xref ref-type="aff" rid="aff0">0</xref>
        </contrib>
        <aff id="aff0">
          <label>0</label>
          <institution>FHNW University of Applied Sciences and Arts Northwestern Switzerland</institution>
          ,
          <addr-line>4600 Olten</addr-line>
          ,
          <country country="CH">Switzerland</country>
        </aff>
        <aff id="aff1">
          <label>1</label>
          <institution>Haute école de gestion Arc (HEG)</institution>
          ,
          <addr-line>Neuchatel</addr-line>
          ,
          <country country="CH">Switzerland</country>
        </aff>
        <aff id="aff2">
          <label>2</label>
          <institution>University of Pretoria, Department of Informatics</institution>
          ,
          <addr-line>Pretoria</addr-line>
          ,
          <country country="ZA">South Africa</country>
        </aff>
      </contrib-group>
      <pub-date>
        <year>2023</year>
      </pub-date>
      <volume>1</volume>
      <fpage>3</fpage>
      <lpage>15</lpage>
      <abstract>
        <p>This paper shows an application of semantic lifting in the education domain. We present a metamodel for graphical representation of learning paths. This supports lecturers in the design of courses and learners to navigate through learning object to achieve their learning goals. The graphical models are semantically annotated with an ontology representing the content of the course and the learning objects. This enables reasoning for identifying learning objects dealing with specific topics and courses dealing with prerequisite knowledge. The approach is realized in ADOxx and validated with courses and lectures at a university of applied sciences in Switzerland.</p>
      </abstract>
      <kwd-group>
        <kwd>eol&gt;learning path</kwd>
        <kwd>semantic lifting</kwd>
        <kwd>teaching domain ontology</kwd>
        <kwd>ADOxx</kwd>
        <kwd>metamodel</kwd>
        <kwd>ontology 1</kwd>
      </kwd-group>
    </article-meta>
  </front>
  <body>
    <sec id="sec-1">
      <title>1. Introduction</title>
    </sec>
    <sec id="sec-2">
      <title>2. Literature Review</title>
      <p>
        Learning design is the activity that organizes the course content, like a choreography [
        <xref ref-type="bibr" rid="ref2">2</xref>
        ].
Nabizadeh et al. [
        <xref ref-type="bibr" rid="ref3">3</xref>
        ] propose to define the content of a course in four hierarchical levels (see Figure
1). The first level contains a single element which is the course itself and is composed of several
lessons. Each lesson contains one or more topics. The complexity of the topic determines how
many lessons are needed to cover it completely. Topics cover one and only one concept. Finally,
there are learning objects, which represent the smallest units of content. These learning objects
can be either learning activities or learning material [
        <xref ref-type="bibr" rid="ref1 ref4 ref5">1,4,5</xref>
        ]. The advantage of organizing
educational content into learning objects is to have a highly structured representation of small
content units that are self-contained, flexible, and reusable [
        <xref ref-type="bibr" rid="ref6">6</xref>
        ].
      </p>
      <p>
        When designing a course, Premlatha and Geetha [
        <xref ref-type="bibr" rid="ref6">6</xref>
        ] distinguish two phases, identifying
learning objects and then sequencing them. Al-Yahya et al. [
        <xref ref-type="bibr" rid="ref4">4</xref>
        ] split the first phase into two, which
leads to three steps: first determining the semantics of the learning objects, then representing the
learning object and finally presenting the learning objects in a specific order, which is determined
by the prior knowledge of the learner, the learning goals and the information contained in the
educational material [
        <xref ref-type="bibr" rid="ref7">7</xref>
        ].
      </p>
      <p>
        A learning path is a sequence of activities with designated goals to help students build up their
knowledge or skills in a subject area [
        <xref ref-type="bibr" rid="ref1 ref4">1,4</xref>
        ]. Learning paths can also be visually represented in
different ways and they can be implemented in Learning Management Systems [
        <xref ref-type="bibr" rid="ref8">8</xref>
        ] where learning
objects can be structured according to lessons – similar to the hierarchy of Nabizadeh et al. [
        <xref ref-type="bibr" rid="ref3">3</xref>
        ].
The eduWEAVER modeling environment [
        <xref ref-type="bibr" rid="ref9">9</xref>
        ] has a similar structure with an additional module
level between course and lesson and it does not distinguish between various topics of a lesson.
      </p>
      <p>
        The topics for the lessons and learning objects can be represented in the metadata of the
learning objects like SCORM [
        <xref ref-type="bibr" rid="ref10">10</xref>
        ] and LOM [
        <xref ref-type="bibr" rid="ref11">11</xref>
        ], which are specialized for education material of
the more general-purpose Dublin Core. While these standards specify metadata elements,
encoding schemes are needed to describe the content of the learning objects. Ontologies can be
the specification of the content [
        <xref ref-type="bibr" rid="ref12">12</xref>
        ].
      </p>
      <p>In this research we combined the use of ontologies for content description with graphical
modeling of learning path. It thus extends modeling of learning scenarios as done in eduWEAVER
with a logic-based representation of the topic of a lesson. This allows more expressive reasoning
and querying than metadata description like SCORM or LOM.</p>
    </sec>
    <sec id="sec-3">
      <title>3. Research Method</title>
      <p>
        We apply design science research strategy [
        <xref ref-type="bibr" rid="ref13 ref14">13,14</xref>
        ] following the process of Vaishnavi and
Kuechler [15] to develop an artifact consisting of a metamodel for the learning path and its
connection to a content ontology.
      </p>
      <p>In the problem awareness phase, a course “Introduction to Programming” from Haute école
de gestion Arc (HEG), which is taught by one of the authors, was analyzed and interviews with
five teachers from HEG were conducted to better understand the challenges around the
construction of the courses.</p>
      <p>In the suggestion phase, the metamodel elements for the learning paths and the concepts for
the learning objects were identified. This specification was represented using UML Class
Diagrams. In the development phase, the focus was on the metamodel for the learning and the
upper level of the content ontology. A solution was developed, how the two worlds of graphical
modeling and ontology representation can be connected using semantic lifting [16].</p>
      <p>Finally, the solution was evaluated by applying it to two courses, both in the domain of
programming. In addition, a discussion is held with the course teacher to validate the models and
gather feedback on their relevance and usefulness.</p>
    </sec>
    <sec id="sec-4">
      <title>4. Challenges and Requirements for Learning Path Modeling</title>
      <p>
        In the first phase of the projects, we analyzed the structure of the course “Introduction to
Programming” from Haute école de gestion Arc (HEG), which is taught by one of the authors. Then
we did interviews with five lecturers on how they prepare for a course and how they structure
their courses. It turned out that all lecturers first structure their courses using spreadsheets. They
determine the course topics and learning objects before representing them in the Learning
Management System. The content of the Excel sheet corresponds to a simplified learning path and
is the result of the first phase of course development according to [
        <xref ref-type="bibr" rid="ref1 ref4">1,4</xref>
        ]. Based on their experience
with representing the learning path in Excel, the interviewees' requirements and challenges for
modeling learning paths could be derived. These cover the modeling views, the modeling
elements and the relations for the learning paths. These have been implemented in the
metamodel (see Section 5).
      </p>
      <p>We identified additional challenges that lecturers face when designing a learning path. These
are related to the knowledge of the students and the content of the courses. Lecturers want to
know what students already know in order to decide, what topics must be covered in the course.
When students recognize a knowledge gap, they want to know, in which courses and lectures
these topics are covered. From this analysis, the following questions are derived that should be
answered with the solution:
• Which course covers which topics?
• Which exercises cover which topics?
• Which module(s) is/are prerequisite(s) for another?
• Which topic(s) is/are a prerequisite(s) for a module?</p>
      <p>This shows the demand for a representation of the topic, which allows for reasoning – as it is
possible with an ontology.</p>
    </sec>
    <sec id="sec-5">
      <title>5. Metamodels for Learning Paths and Domain Ontology</title>
      <p>The artifact consists of a metamodel for the graphical representation of the learning path, a
metamodel for an ontology to represent the content and the connection between learning path
and domain ontology. These are covered in the next three subsections.</p>
      <sec id="sec-5-1">
        <title>5.1. A Metamodel for Learning Paths</title>
        <p>
          The metamodel for the learning paths was implemented in ADOxx2. It consists of several model
types representing different views on the courses. Figure 2 show the metamodel classes and
relations that are represented in the ADOxx metamodel:
• The study program view (green box) shows the curriculum, in which the course is
embedded.
• The semester program view (blue box) allows to present the structure of a single course. It
corresponds to the top three levels of Nabizadeh’s course hierarchy [
          <xref ref-type="bibr" rid="ref3">3</xref>
          ] (see Figure 1).
• The learning path view (yellow box) allows to represent the structure of the learning
objects, i.e. the learning activities and the learning materials used in these activities.
2 https://www.adoxx.org
        </p>
        <p>Figure 4 Example of a learning path for a single lecture.</p>
      </sec>
      <sec id="sec-5-2">
        <title>5.2. Connection the Domain Ontology with the Learning Path Modeling</title>
        <p>For connecting the learning paths and the domain ontology we applied semantic lifting [16,17].
The modeling and the ontology are managed in two separate environments: the learning path
models are created in ADOxx and the ontology is created with Protégé3. Figure 5 shows the
architecture, which is adapted from [18] where it is applied for Business Process as a Service
(BPaaS).</p>
        <p>The ontology contains knowledge about the teaching domain. The top-level structure of a
teaching domain ontology and the object properties were derived from the topic map of the
course “Introduction to Programming” and the findings of the semi-structured interviews.</p>
        <p>As can be seen in the class hierarchy in Figure 6, the ontology also contains knowledge about
the learning path. This is necessary to allow reasoning about which topics are taught in which
courses and thus to satisfy the requirements and challenges identified in the problem analysis
(see Section 4). Ensuring that the classes in the ontology are consistent with the corresponding
definitions of the modeling element in the modeling environment is called semantic alignment.
(a) Class Hierarchy
(b) Object Property Hierarchy
Figure 6 Top-level domain ontology and properties
3 https://protege.stanford.edu/</p>
        <p>The semantic annotation realizes the connection of the models with the ontology about the
teaching domain. All the information in the learning path that needs to be queried has a
corresponding class in the domain ontology For semantic annotation, a web service is activated
from the modeling environment, which queries the ontology according to the given context. The
result is transmitted to ADOxx, which converts it so that the user can select the desired element
via a selection box. The primary use for the semantic annotation is via the topic modeling element,
which has an attribute that refers to an instance of the Topic concept in the domain ontology. The
modeling element for learning activity has an attribute activity type, which can have as value
instances of the subclasses of Practice.</p>
        <p>The transformation and mapping is the third kind of interface between modeling environment
and ontology. ADOxx offers an XML export function. Using an XSLT stylesheet, the XSLT processor
produces a turtle file in which class instances and relationships between these instances are
generated. This file can then be imported into the ontology, which is then populated with new
data ready for querying.</p>
      </sec>
      <sec id="sec-5-3">
        <title>5.3. Reasoning</title>
        <p>After the data of the models are exported and mapped to the classes defined in the ontology, it is
possible to do reasoning and ask queries about the models. Figure 7 shows some queries that
allow to answer the questions derived from the problem analysis (see Section 4).</p>
        <p>In this section we showed how the combination of learning paths and topic ontologies not only
enables teachers to model their learning path with a nice graphical representation and students
to navigate learning paths, but also to be able to take advantage of this modeling by automated
reasoning.</p>
      </sec>
    </sec>
    <sec id="sec-6">
      <title>6. Evaluation</title>
      <p>The evaluation was done in two parts. First, the courses “Introduction to Programming” and
”Advanced Data Structures” were represented in the modeling environment and the ontology for
the teaching domain was represented in Protégé. Figure 8 shows the ontology and the instances
for the first course after mapping the modeling elements of the first course to the classes of the
ontology, with just the subclass-of and instance-of and composition relationships being
visualized. Some sample queries are run to show that the representation and the reasoning is
correct and appropriate.</p>
    </sec>
    <sec id="sec-7">
      <title>7. Conclusion</title>
      <p>
        The learning process can be modelled as a learning path guided by learning objectives [
        <xref ref-type="bibr" rid="ref1">1</xref>
        ]. Using
ADOxx for modeling the learning paths allows us to link learning material to the learning objects.
Thus, the learning path can be used by the students as an interface to the content stored in a
learning management system.
      </p>
      <p>In this research, we enhance the modeling by using an ontology as an encoding scheme to
represent the subject metadata for learning objects. Semantic lifting allows us to connect the
ontology to the models of the learning paths enabling reasoning to support lecturers in the
creation of a course and to support students in using finding appropriate learning objects.</p>
      <p>A disadvantage of the semantic lifting approach is the separation of the modeling environment
and ontologies in two separate environments. Using ontology-based modeling – as implemented
in the Agile and Ontology-Aided Modeling Environment AOAME [19] – could overcome this
drawback, but it does not yet have the opportunity to link external sources to the learning
modeling objects.
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