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<article xmlns:xlink="http://www.w3.org/1999/xlink">
  <front>
    <journal-meta>
      <journal-title-group>
        <journal-title>International Congress on Educational and Technology in Sciences, November</journal-title>
      </journal-title-group>
    </journal-meta>
    <article-meta>
      <title-group>
        <article-title>Predictive Model for Assigning Exercises to Students in Spreadsheet Functions Using Artificial Neural Networks</article-title>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author">
          <string-name>Edwar Saire-Peralta</string-name>
          <xref ref-type="aff" rid="aff0">0</xref>
        </contrib>
        <aff id="aff0">
          <label>0</label>
          <institution>Universidad Nacional de San Agustín de Arequipa</institution>
          ,
          <addr-line>Av. Independencia s/n, Arequipa</addr-line>
          ,
          <country country="PE">Perú</country>
        </aff>
      </contrib-group>
      <pub-date>
        <year>2020</year>
      </pub-date>
      <volume>1</volume>
      <fpage>6</fpage>
      <lpage>18</lpage>
      <abstract>
        <p>The objective of the article is the development of a model that allows to predict the exercises that the student can solve, and on the other hand the exercises that the student cannot solve in the course of ®Microsoft Excel basic level with the topics of functions. For the development of the process, artificial neural networks have been used. The model is fed with data such as sex, age, academic grade, parents' level of education, type of school, previous grades of the topics that the student obtains while advancing in the course. The research approach is quantitative, experimental, applied and the population was represented by 85 students. The result shows that the model achieves 72% probability of prediction in the assignment of exercises to students. These exercises could not be solved were provided with an aid for their resolution.</p>
      </abstract>
      <kwd-group>
        <kwd>1 Artificial neural networks</kwd>
        <kwd>Supervised learning</kwd>
        <kwd>Data mining</kwd>
        <kwd>Cross validation</kwd>
      </kwd-group>
    </article-meta>
  </front>
  <body>
    <sec id="sec-1">
      <title>1. Introduction</title>
      <p>
        The teaching-learning process is integral, according to [
        <xref ref-type="bibr" rid="ref1">1</xref>
        ] points out that, if the conditions of the
students are always different, such as the rhythms, ways of learning and starting points of each student,
then, what is learned and what is evaluated cannot be standardized, but must be differentiated according
to the individual characterization. [
        <xref ref-type="bibr" rid="ref2">2</xref>
        ] Indicates that student’s process information according to their
capacity, motivation, environment and the guidance provided by the teacher in their learning. Learning
rhythms are linked to academic performance, which is determined by personal, family, social and
educational factors [
        <xref ref-type="bibr" rid="ref3 ref4">3, 4</xref>
        ]. A learning session in the classroom is represented by several moments, one
of them represents the practice, which mostly aims to have students solve exercises regarding the topic
developed. It has been observed that many students have doubts and certain fears when interacting with
new learning topics; they are students who find it difficult to adapt to the pace of progress and
understanding imposed by the majority of students and even by the teacher. This reality is measurable
through the results of the evaluations. [
        <xref ref-type="bibr" rid="ref5">5</xref>
        ] Propose that the teacher should work at a safe level of demand,
which does not cause discouragement and low grades. According to [
        <xref ref-type="bibr" rid="ref6">6</xref>
        ] indicates that it is a mistake to
use the same contents, rhythms and evaluation to students, this is a problem because it can cause
frustrations and influences the relationship with other students. The situation described is very common
in classrooms, and many researches have used predictions to find the most suitable ways to know the
student based on certain data about them and give help.
      </p>
    </sec>
    <sec id="sec-2">
      <title>2. Related work</title>
      <p>
        [
        <xref ref-type="bibr" rid="ref7">7</xref>
        ]
[
        <xref ref-type="bibr" rid="ref8">8</xref>
        ]
[
        <xref ref-type="bibr" rid="ref9">9</xref>
        ]
      </p>
      <p>Related and pre-research work is characterized by the use of one or more classification algorithms.
Some research uses as input data those traces or interactions that students have with virtual platforms,
others use as inputs those data that are collected through instruments and that are designed at the time.
The literature has been reviewed and the opportunity to make predictions with data that arise from the
teaching-learning process is observed. In Table 1 we can see a summary of works related to the research.</p>
      <p>ICT for education:
adaptive system based
on automatic learning
mechanisms for the</p>
      <p>appropriation of
technologies in high
school students.</p>
      <sec id="sec-2-1">
        <title>Model to predict</title>
        <p>academic performance
based on neural
networks and learning
analytics</p>
      </sec>
      <sec id="sec-2-2">
        <title>Predicting academic performance by applying data mining techniques</title>
      </sec>
      <sec id="sec-2-3">
        <title>Contribution</title>
        <p>A system was built that
enables the initial
recommendations of
educational content
appropriate to the
individual characteristics
of students, administered
according to their
performance and the
characteristics of the
territory.</p>
        <p>A predictive model of
academic performance
was proposed using data
provided by a virtual
interaction system with
students, using learning
analytics through
artificial neural networks,
patterns were found that
were determinant in the
academic performance of
students.</p>
      </sec>
      <sec id="sec-2-4">
        <title>Shows a range of</title>
        <p>predictions to classify
(pass, fail) prospective
students enrolled in a
course.</p>
      </sec>
      <sec id="sec-2-5">
        <title>Data mining techniques were used and results were compared using logistic regression,</title>
      </sec>
      <sec id="sec-2-6">
        <title>Opportunities for</title>
        <p>improvement
The system was
fed with data
collected from
virtual courses,
both from
students and
educators, data
analytics and
automatic learning
to make
predictions and
initial
recommendations,
is limited by the
classroom
courses, since we
do not have the
necessary data.
The data collected
and used to make
the predictions</p>
        <p>are from the
virtual system of
courses they have,
however, there is
still an
opportunity for
improvement if
personal, social
and other data of
interest to the
research are</p>
        <p>included.</p>
      </sec>
      <sec id="sec-2-7">
        <title>To obtain the</title>
        <p>classification, the
data of the
students enrolled
in the General</p>
      </sec>
      <sec id="sec-2-8">
        <title>Statistics course at</title>
      </sec>
      <sec id="sec-2-9">
        <title>UNALM were used; however, the factors or [10]</title>
      </sec>
      <sec id="sec-2-10">
        <title>Development of a</title>
        <p>computerized evaluation
system using neural
networks through R and</p>
      </sec>
      <sec id="sec-2-11">
        <title>Shiny</title>
        <p>decision trees, neural
networks and Bayesian
networks. A prediction
effectiveness of 70% was
achieved.</p>
        <p>Through the use of
artificial neural networks,
an environment of
attention to the needs of
each student was created
with the use of correct
materials through
exercises in their
evaluation. This allows to
reduce the feeling of
dissatisfaction and to
avoid in many cases the
abandonment of the
courses.
predictor variables</p>
        <p>were selected
based on the data
they already had,
without taking
into account,
according to
research, that
there are very
influential
variables in
academic
performance,
which was not
taken into account
in their research.</p>
      </sec>
      <sec id="sec-2-12">
        <title>Data generated by</title>
        <p>the same project
have been used.</p>
        <p>The results
obtained were
different levels of
difficulty for the
students in the</p>
        <p>exercises;
however, there is
still room to
analyze other
determining
factors and to take
into account the
levels reached by
students in the
previous topic,
since this process
is changing.</p>
      </sec>
    </sec>
    <sec id="sec-3">
      <title>3. Problem</title>
      <p>
        Students in educational centers are characterized by being unique, singular and belonging to
heterogeneous groups. In each learning session the teacher tries to improve his work with the students,
especially when developing the practical part, where the teacher usually leaves a set of exercises during
the class, which the whole group must solve in a certain time. [11] indicates that a school model where
teachers teach the same contents, with the same level of complexity and at the same speed, this school
is not attending to the differential needs of the students. It has been observed during the classes that
students, when solving the battery of exercises, need support, tutoring, help in some formulas, in their
application and syntax. The teacher is regularly confronted with two situations: first, when the student
asks the teacher for help or tutoring, time is always pressing, and second, many students need help, but
do not ask for it. Diversity refers to heterogeneous groups of students in the classroom. Students are
unique and different, through their learning styles, ways of thinking and speed of learning within their
limitations [
        <xref ref-type="bibr" rid="ref2">2</xref>
        ].
      </p>
    </sec>
    <sec id="sec-4">
      <title>4. Proposal</title>
      <p>To address the stated problem, a model has been implemented that allows predicting the assignment
of exercises to students on an individualized basis, providing textual help in the exercises that the
student cannot solve. In the proposal, a predictive model based on artificial neural networks will be
implemented. This algorithm has a set of interconnected elements, where its processing capacity is
stored in weight units, this thanks to the adaptation and learning of a set of patterns [12]. The proposed
Model has as input the personal and social factors and the academic performance qualifications of the
students, which will allow us to classify the students with data mining. With mining we can obtain
models that allow discovering patterns and trends regarding student information [13]. The outline of
the proposal is shown in Figure 1.</p>
      <sec id="sec-4-1">
        <title>Data source : Inputs</title>
      </sec>
      <sec id="sec-4-2">
        <title>Questionnary data</title>
      </sec>
      <sec id="sec-4-3">
        <title>Evaluation data</title>
      </sec>
      <sec id="sec-4-4">
        <title>Construction of the model</title>
      </sec>
      <sec id="sec-4-5">
        <title>Classification algorithms</title>
      </sec>
      <sec id="sec-4-6">
        <title>Artificial neural networks</title>
      </sec>
      <sec id="sec-4-7">
        <title>Predictive model : Output</title>
      </sec>
      <sec id="sec-4-8">
        <title>Exercises without help (can solve)</title>
      </sec>
      <sec id="sec-4-9">
        <title>Exercises with help (cannot solve)</title>
        <p>The students who participated in the research took the ®Microsoft Excel basic level course. The
topics that were developed in the course are mathematical operators, mathematical functions, and
statistical functions, among others. There is no filter to enroll students, anyone can take it. We work
with heterogeneous groups. In total we worked with 85 students as the population, which also represents
the sample.
4.2.</p>
      </sec>
    </sec>
    <sec id="sec-5">
      <title>Questionnaire data</title>
      <p>An instrument based on the survey technique was constructed. For the elaboration of the
questionnaire instrument, the literature on those factors that influence students in the handling of
function subjects was reviewed, in addition to adding other factors contextualized to the problem being
addressed. Academic achievement, being multicausal, according to [14] can be grouped into social,
personal and institutional determinants. Table 2 shows the factors taken into account for the
questionnaire.</p>
      <p>The instrument was validated with a psychologist in Education and a professional in Educational
Sciences, the reliability of the instrument was calculated, applying cronbach's alpha, where the result
was 0.733, which represents a value of good in reliability. With the validity and reliability obtained, the
questionnaire was applied to 85 students who took the course.
4.3.</p>
    </sec>
    <sec id="sec-6">
      <title>Evaluation data</title>
      <p>The data collection regarding evaluation represents data from 58 students. The evaluation grades is
an indicator that determines the academic performance of students, as stated by [15], where it indicates
that academic performance is the level of knowledge that a student has which is reflected in a numerical
value, where it measures the result of the teaching and learning process in which the student is the main
actor. For each of the 8 topics of the course, exercises were prepared. For each topic, 10 types of
exercises were designed. A total of 80 types of exercises were prepared.</p>
    </sec>
    <sec id="sec-7">
      <title>5. Application of the Methodology</title>
      <p>To develop the proposal, the KDD (Knowledge Discovery in Databases) data mining process was
followed, as described in [16]. The KDD process is a rare process that allows obtaining information
from the data, which is present in a hidden way, initially anonymous and very useful for users or
companies [17].
5.1.</p>
    </sec>
    <sec id="sec-8">
      <title>Integration and Collection Phase</title>
      <p>The data sources were merged. The first data source was obtained by applying the questionnaire and
the second data source was formed by the evaluation data collection (it was recorded for each topic and
type of exercise whether the student could or could not solve the exercise). In the Figure 2, we can see
the evaluations recorded. The value of 1 indicates that a student was able to solve one type of exercise
and a value of 0 indicates that the student was not able to solve that type of exercise. As mentioned for
each topic, 10 types of exercises were designed with labels from letter A to J.</p>
    </sec>
    <sec id="sec-9">
      <title>Selection, cleaning and transformation phase</title>
      <p>The selection phase involved the use of all the data from the questionnaire with the totality of the
records collected. The cleaning phase was applied to the assessments with students who did not have
assessment scores. Finally, in the transformation phase all the questionnaire data were replaced by
numerical codes in order to process the data. The only field calculated was grade with a value from 0
to 20. The two data sources were integrated and linked. Finally, the data were normalized, since there
were blunt values, for better processing quality.
5.3.</p>
    </sec>
    <sec id="sec-10">
      <title>Data mining phase</title>
      <p>The data mining technique applied to the proposed project is classification. The collected data were
separated, where 92% were assigned for training and 8% for model validation. The Artificial Neural
Networks algorithm with supervised learning Backpropagation was used. This supervised learning
algorithm is based on the repetition of the adjustment of the synaptic weights in the network, with the
aim of minimizing the difference in error between the expected and observed results, achieving the most
optimal [18]. To obtain the predictive model we used the free tool based on artificial Neural Networks,
which is called "Simbrain". In Figure 3 shows the network topology for the first subject.</p>
      <p>Layer 1 represents the input layer (15 attributes of the questionnaire), layer 2 refers to the hidden
layer with 20 neurons and finally layer 3 refers to the output layer with 10 answers. To train the model
for the second topic (mathematical functions), the topology must now have 16 inputs, which represents
the 15 student questionnaire data and the grade obtained for the academic performance of the previous
topic (first topic) and so on will increase the inputs for the other topics. There are numerous researches
such as those of [19, 20, and 21] have found evidence that the previous performance of their academic
performance could condition future results. Table 3 shows results for the first 5 topics.</p>
    </sec>
    <sec id="sec-11">
      <title>5.4. Evaluation and Interpretation</title>
      <p>Cross-validation was performed with 8% of the records that were initially separated. The results are
show in Table 4 for the first item. Recall that the value 1 represents that the student can solve the
exercise and the value 0 represents that the student cannot solve the exercise. The prediction on the set
of 5 students had a reliability of 72%.</p>
      <p>At the end of the evaluation, teachers as well as students were satisfied with the results, since an
assertiveness of 72% was achieved. The strength of the model is to identify those types of exercises
where students show difficulty, and it is in this space where the student will be supported.</p>
    </sec>
    <sec id="sec-12">
      <title>6. Application and testing</title>
      <p>Based on the predictive model obtained, its effectiveness was tested by selecting experimental
groups (group of students new to the course), to which the predictive model was applied for the first
two topics. In addition, control groups were selected (groups of students new to the course) where the
first two topics were also developed, but applying the traditional model. A total of 3 experimental
groups and 3 control groups were used for testing. In Table 5 we can see the averages obtained by the
experimental and control groups, where the average increase was from 13.4 to 17.2.
13.4</p>
      <p>To give more reliability support to the obtained predictive model, the averages of the current results
of the predictive model were compared with the averages of students from previous years and months
(historical data of averages of 3 months of the previous year) and it was seen that the proposed model
also improves the averages from 13.3 to 16.4.</p>
    </sec>
    <sec id="sec-13">
      <title>7. Discussion and conclusions</title>
      <p>It is reflected and indicated that, in order to obtain efficient predictive models, it is necessary to work
not only with a greater amount of data, but also that these data must be of quality, must be selected by
experts in this discipline, data that other researches support. Many times institutions already have data
in their virtual systems [22, 23], but we must also measure the quantity of these data against the quality.
It has been shown that the proposed model can be successfully used to predict the types of exercises
that a student can solve and the types of exercises where he/she shows difficulties. The model was
exposed to a cross-validation, which had a prediction close to 72% with respect to the expected results.
An increase in their average from 13.49 to 17.29 in their evaluations was observed. This research not
only validated the model with 8% of the students, but also tested the model with new groups of students
in the institution. This model can be improved by working with more students and more that are related
to academic performance, since the learning would be more solid, in addition to adding the
characteristic that the exercises should be assigned gradually, i.e., classify the exercises by levels such
as basic, intermediate and advanced.
8. References
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[12] K. Gurney. An introduction to neural networks, London, UK: UCL Press, 1997.
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study and tutorial”, Computers and Education, 51(1), 368-384, 2008. doi:
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[14] G. M. Garbanzo Vargas, “Factores asociados al rendimiento académico en estudiantes
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