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  <front>
    <journal-meta />
    <article-meta>
      <title-group>
        <article-title>Learning Styles and Flipped Classroom: An Experience in Secondary School</article-title>
      </title-group>
      <fpage>0000</fpage>
      <lpage>0001</lpage>
      <abstract>
        <p>Flipped Classroom (FC) has been gaining prominence in recent years and multiple articles have appeared that highlight its ability to increase the academic performance of the students who use it. This research asks how students' academic outcomes vary when using FC compared to traditional class based on their learning style. The sample used to carry out the research were two groups of 3rd level of Secondary Education who took math classes using FC during a quarter. The methodology used has been quantitative, at the beginning of the quarter all students took a questionnaire to determine their learning style (CHAEA questionnaire) and also, before and after each topic, conducted evaluation tests. The results show that students improve their academic performance by using FC compared to the traditional class; however, this improvement is not statistically significant. When we focus on the different learning styles, different results appear depending on the block of mathematical content treated and the active style is the one that gets the best results. The main contribution of this research lies in the study of the correlation between academic results and the learning style of each student.</p>
      </abstract>
      <kwd-group>
        <kwd>Flipped Classroom</kwd>
        <kwd>Mathematics</kwd>
        <kwd>Academic Results</kwd>
        <kwd>Secondary Education</kwd>
        <kwd>Learning Style</kwd>
      </kwd-group>
    </article-meta>
  </front>
  <body>
    <sec id="sec-1">
      <title>1 Introduction</title>
      <p>
        The FC is a pedagogical model that is based on the investment of time and the role
of students and the teacher [
        <xref ref-type="bibr" rid="ref1">1</xref>
        ]. When using the FC the transmission of theoretical
concepts in class is usually replaced by the viewing of online videos at home by the
students [
        <xref ref-type="bibr" rid="ref2">2</xref>
        ]. In this way students have already received the contents and face-to-face
time in class can be used for top-level activities of bloom taxonomy [
        <xref ref-type="bibr" rid="ref3">3</xref>
        ] such as
applying, analyzing, evaluating or creating [
        <xref ref-type="bibr" rid="ref4">4</xref>
        ]. Students go from passive recipients in
the traditional model to having an active participation in the FC [
        <xref ref-type="bibr" rid="ref5">5</xref>
        ]. Moreover, the
teacher goes from being a mere transmitter of knowledge in the traditional class to a
guide and creator of learning scenarios in the FC [
        <xref ref-type="bibr" rid="ref6">6</xref>
        ]. Currently in the international
databases, there are more than 5000 scientific documents on different areas and
Copyright © 2020 for this paper by its authors. Use permitted under Creative Commons
aspects of the FC [
        <xref ref-type="bibr" rid="ref7">7</xref>
        ]. This issue highlights the impact that the FC is currently having
on the world of education and how important it is for its future.
      </p>
      <p>
        On the other hand, learning styles in education is one of the most studied fields, but
there is no universal definition of this concept [
        <xref ref-type="bibr" rid="ref8">8</xref>
        ]. Despite this, there is a consensus
that it refers to each student's way of learning [
        <xref ref-type="bibr" rid="ref9">9</xref>
        ]. Authors such as [
        <xref ref-type="bibr" rid="ref10 ref11 ref12 ref13 ref14 ref15 ref16">10-16</xref>
        ], among
others, have developed different types of learning styles and created instruments to
classify students, but the most used in Spanish is the Honey-Alonso Questionnaire on
Learning Styles (CHAEA) [
        <xref ref-type="bibr" rid="ref17">17</xref>
        ].
      </p>
      <p>
        Students are a source of basic information to assess the quality, relevance and
fairness of their training, as well as the strengths and weaknesses of the learning
process [
        <xref ref-type="bibr" rid="ref18">18</xref>
        ]. This information is nourished by two sources: the learning outcomes and
the assessments of their experiences during their training [
        <xref ref-type="bibr" rid="ref19">19</xref>
        ].
      </p>
      <p>The objective of this research is to analyze the results of students' assessments
based on the learning style.</p>
      <p>This research raises the following hypotheses:</p>
      <p>H1- The academic results of students with active learning style when using the FC
get better results than students who follow the traditional class.</p>
      <p>H2- Students' learning style conditions their academic performance when using FC
compared to traditional class.</p>
    </sec>
    <sec id="sec-2">
      <title>2 Theoretical framework</title>
      <p>
        The FC began to become known from 2007, when two teachers Jonathan Bergman
and Aarom Sams professors of chemistry at Woodland Park High School in Colorado,
video-posted Power Point presentations from their classes and published them online,
for students who could not attend class. His surprise was that his videos went viral
and many students began to watch them [
        <xref ref-type="bibr" rid="ref20">20</xref>
        ]. Another milestone that helped
popularize fc was the emergence of the Khan Academy website, founded by Salman
Khan in 2006, where videos of different subjects could be found [
        <xref ref-type="bibr" rid="ref21">21</xref>
        ].
      </p>
      <p>
        Regarding the academic performance, you get from using FC instead of the
traditional class in the ESO math area, most research supports that they increase. An
example of this is the research of [
        <xref ref-type="bibr" rid="ref22 ref23 ref24 ref25 ref26 ref27 ref28 ref29">22-29</xref>
        ] and [
        <xref ref-type="bibr" rid="ref30">30</xref>
        ] among others. On the other hand,
[
        <xref ref-type="bibr" rid="ref31">31</xref>
        ] claim that on an algebra issue the academic results were similar in both groups.
      </p>
      <p>
        In relation to learning styles, there have been many attempts by researchers to
define them [
        <xref ref-type="bibr" rid="ref8">8</xref>
        ]. In the 1940s, researchers focused on cognitive elements or
psychological aspects [
        <xref ref-type="bibr" rid="ref32">32</xref>
        ]. Later there is a third trend that proposes the synthesis of
both approaches that argues that the style of learning is constituted by cognitive style
and learning strategies [
        <xref ref-type="bibr" rid="ref33">33</xref>
        ]. [
        <xref ref-type="bibr" rid="ref34">34</xref>
        ] Indicated that motivation, emotions and sociological
aspects are variables that affect learning styles. In the 1980s with the increase in
research in learning styles, the affective dimension began [
        <xref ref-type="bibr" rid="ref35">35</xref>
        ]. In the 1990s, [
        <xref ref-type="bibr" rid="ref32">32</xref>
        ],
researched the relationship not only of cognitive style with learning strategies but also
with the affective dimension and motivational aspect. From Goleman's so-called
emotional intelligence [
        <xref ref-type="bibr" rid="ref36">36</xref>
        ] he resurfaces interest in the inclusion of the affective, as a
way of indegging to deepen the theory of learning styles. [
        <xref ref-type="bibr" rid="ref37">37</xref>
        ] Analyzes different tools
and tools to diagnose learning styles and finds only six that analyze cognitive and
affective styles together, among which the CHAEA questionnaire.
      </p>
      <p>
        [
        <xref ref-type="bibr" rid="ref38">38</xref>
        ] Describes the characteristics of people with predominance in any of the
learning styles, in Table 1 are the main ones.
      </p>
      <p>
        A study conducted by [
        <xref ref-type="bibr" rid="ref39">39</xref>
        ] using the CHAEA questionnaire, indicated that learning
styles are not associated with age or gender. On the other hand, [
        <xref ref-type="bibr" rid="ref40">40</xref>
        ] found that
learning styles are heterogeneous depending on the university career.
3
      </p>
    </sec>
    <sec id="sec-3">
      <title>Methods</title>
      <p>A quantitative approach has been used in this research. The scope of the research is
correlational, in claiming to know the relationship between the learning style of the
students and their academic performance when using the FC.</p>
      <p>The participants in this research have been two groups of 3rd Compulsory
Secondary Education (ESO) of the Ermengol IV Institute of the town of Bellcaire
d'Urgell in Spain. The class A of 3rd level of secondary school A had 19 students and
the class B with 18 students, of which 62% were girls and 38% were boys. The
components of the classes did not vary throughout the research, and were already
created at the start and were homogeneous. Students used FC throughout the first
trimester of the course in math classes.</p>
      <p>The instruments used have been a questionnaire and evaluation tests. On the one
hand, the Honey-Alonso Learning Styles Questionnaire (CHAEA) consisting of 80
questions (20 items for each of the four learning styles) to which it responds
dichotomy way by expressing whether you agree or disagree. The maximum score in
each style (Active, Reflective, Theoretical and Pragmatic) is 20. At the start of the
quarter, all students took the CHAEA questionnaire to determine their learning style.</p>
      <p>
        In 1988 Honey and Mumford created the LSQ (Learning Styles Questionnaire),
detecting four learning styles: Active, Reflective, Theoretical and Pragmatic. This
four styles were took it by CHAEA (Honey-Alonso Questionnaire on Learning
Styles) [
        <xref ref-type="bibr" rid="ref33">33</xref>
        ].
      </p>
      <p>On the other hand, the evaluation tests consisted of ten questions related to the
knowledge acquired by students on the subject to be addressed at one point each. A
pre-evaluation (Pretest) and a final evaluation (Postest) were performed on each topic.
The evidence contained the same questions only varied the figures contained in the
advertised ones. Also after 4 months of carrying out the final evaluation of item 1
they were again asked to perform the same test, to see how their knowledge of topic 1
had varied over time. In this case we had a pretest, pre-evaluation and two postest,
final evaluation and evaluation after 4 months.</p>
      <p>Three topics were made from different blocks of the math subject. Item 1:
Fractions, belonging to the numbering and calculation block; topic 2: Geometric
places, block space and shapes and theme 3: Polynomials, block changes and
relationships.</p>
      <p>In topic 1 the students of 3rd ESO A used the master class and those of 3rd ESO B
the FC methodology. In the next topic, they changed and the students of 3rd ESO A
were the ones who used the FC and the 3rd ESO B master class.</p>
      <p>Before each class, students of FC group had to watch at home a video of a
maximum of 10 minutes, made by the teacher and with content of the subject. The
videos were available in Moodle and were posted on the Edpuzzle page, which
allowed the videos to contain questions and not be advanced.</p>
      <p>Once in class they had to ask questions and doubts that had arisen from the video
seen at home. After students were placed in groups of four (the members changed in
each new topic) and carried out activities related to the contents seen at home. After
every activity, a volunteer exhibited his solution on the board and the teacher
corrected it and commented for all students.</p>
    </sec>
    <sec id="sec-4">
      <title>4 Results</title>
      <p>Below are the academic results obtained by students according to their learning
style. To achieve this, students have previously been divided among the four styles
from their responses to the CHAEA questionnaire. All 37 students answered the
questionnaires, of which 62% were girls and 38% were boys.</p>
      <p>Increase
+2,98 (+59,24%)
+3,65 (+85,08%)
+3,15 (+59,32%)
+2,68 (+49,17%)
+2,21 (+37,58%)
+2,29 (+37,47%)
TOTAL
4,68
4,76
5,16
5,09
7,95
8,01
8,10
8,11
+3,27 (+69,87%)
+3,25 (+68,27%)
+2,93 (+56,97 %)
+3,02 (+59,33 %)</p>
      <p>The first two columns in Table 3 correspond to the T-Students test for separate
samples and all their values are p&gt;0.05, so the results of the two groups do not differ
either in the pretest or postest. This implies that, by not differing in prestest, they are
comparable groups. However, not differing in postest means that the differences in
results obtained by experimental or control groups are not statistically significant.
Still, it is true that those who used FC get a bigger increase.</p>
      <p>If you look at the results obtained by the students in each of the different types of
learning (table 2), we can see that the active students are the ones who get the most
increase when using the FC. They start on average 4.29 and reach 7.94 increasing by
3.65 points (85.08%), while the control group is on average 5.03 and reaches 8.01, an
increase of 2.98 points (59.24%). The active type group when using the FC achieves
an increment of 0.67, on average, higher than the control group.</p>
      <p>In theoretical and pragmatic students the difference in results between the control
and experimental group is very small, does not exceed 1%; in these cases, the use of
the FC has given the same result as the traditional class. Finally, in reflexive types it
has been the control group that has obtained the best results, 0.47 points of higher
average in the increase than the experimental group.</p>
      <p>The last two columns in Table 3 show the results of the T-Students test for related
samples. In all cases the results have been p&lt;0.05, this implies that the difference in
notes between the pretest and postest obtained are not the result of chance, they are
statistically significant. Therefore, the improvement of the notes is due to the use of
the FC and of the traditional class, in each case.
Active Style</p>
      <p>All and this difference of more than one point, the results of the T-Students test
(table 5) tell us that the differences in results obtained are not statistically significant.
As in topic 1 the T-Students in the pretest and postest is p&gt;0.05 and the differences in
notes between the pretest and postest obtained are statistically significant.</p>
      <p>In Table 3 we can see that the active, theoretical and pragmatic types, which used
the FC, double the average obtained in the previous evaluation. Moreover, in the case
of the reflective type they get 1.62 points more increase from the control group, that
is, their grade improves by 42.33% compared to what increases that of the control
group.</p>
      <p>Thus, in the topic of geometric places belonging to the space and shape block, all
styles except the asset surpass the control group, highlighting the reflective style
students who get the most increase from the control group.
Active Style
When performing the T-Students test for separate samples and related samples (table
7) we get the same results as in the previous topics. That is, the valuations of the
control and experimental group do not differ between them in both prestest and
postest and the difference in notes between the pretest and postest obtained by each
group are statistically significant.
Reflective Style
Theoretical Style
Pragmatic Style</p>
      <p>TOTAL
6,89
6,51
6,84
7,18
7,30
8,27
6,84
7,28
6,95
7,23</p>
      <p>pre-evaluation
+1,86 (+36,97 %)
+2,21 (+51,74 %)
+1,53 (+28,81 %)
+1,73 (+31,74 %)
+1,43 (+24,14 %)
+2,16 (+35,35 %)
+2,16 (+46,15 %)
+2,52 (+52,94 %)
+1,79 (+34,68 %)
+2,14 (+42,04 %)
final evaluation
-1,11 (-13,98 %)
-1,43 (-18,01 %)
-1,63 (-19,14 %)
-0,96 (-11,68 %)
-0,79 (-9,76 %)
-0,13 (-1,54 %)
-1,11 (-13,96 %)
-0,73 (-9,11 %)
-1,15 (-14,19 %)
-0,87 (-10,85 %)</p>
      <p>Table 8 shows the results of the evaluation of item 1 made after 4 months of final
evaluation. Students who used FC in topic 1 (3rd level A) with respect to the previous
assessment have increased by 2.14 points (42.04%) and in contrast those of the
control group by 1.79 (34.68%), obtaining a 7.36% increase in the experimental
group. In relation to the final evaluation, the students in the control group decreased
by 1.15 points (14.19%) and the DSs lost an average of 0.87 points (10.85%), 3.34%
less loss. Thus, we can say that the assessments of the knowledge of the students who
used the FC in topic 1 after 4 months are better than those of the control group.</p>
      <p>The results obtained by FC students are better than those obtained by the control
group, when compared with results of the previous evaluation. Highlighting those of
an active type with an increase of 14.77% more than that obtained by the control
group. In relation to the final evaluation, all styles in the sense of the asset have a
smaller difference in the FC than in the traditional class. The most significant is the
case of the theoretical type that only decreases by 0.13 points (1.54 %) what was
achieved in the final evaluation.
When performing the T-Students test for separate samples and related samples (table
9) we get the same results as in the previous topics.
Pragmatic Style
TOTAL</p>
    </sec>
    <sec id="sec-5">
      <title>5 Discussion</title>
      <p>
        The results show that students using the FC have a greater increase in the
evaluation, of prestest with respect to postest, than those using the traditional
methodology. These results in the evaluation are consistent with those obtained in
different researches of the FC and the mathematics carried out by [
        <xref ref-type="bibr" rid="ref22 ref23 ref24 ref25 ref26 ref27 ref28 ref29 ref30">22-30</xref>
        ].
      </p>
      <p>
        On the other hand, we find that the results show that these differences in the
academic performance of the students who used the FC or the traditional
methodology are not statistically significant. Therefore, we cannot categorically
affirm that they are the result of the use of FC, all and appear in the different topics
and in the two groups. It should be noted that the control group and the experimental
group has been changing in each topic, and in all cases, the experimental group has
obtained better academic results. These results can also be found in other researches
such as that conducted by [
        <xref ref-type="bibr" rid="ref31">31</xref>
        ]. Another reason for this fact could be based on [50]
because there are no statistically significant differences in academic outcomes
between FC and unvested, if two classes use active methodologies.
      </p>
    </sec>
    <sec id="sec-6">
      <title>6 Conclusion</title>
      <p>Two hypotheses had been raised in this research, the first saying that the academic
results of students with active learning style when using the FC get better results than
students who follow the traditional class.</p>
      <p>Indeed, the results have shown that in the different topics of mathematics the
students who have used the FC have obtained better results in the postest and a greater
increase from the pretest than the students who used the traditional class. In addition,
the ones that have been the most active learning style students. In item 2 (Geometric
Places) is where this difference was greatest, the control group averaged 6.84 and the
experimental group by 7.55, which means a difference of 0.77 points on average
(10.38% increase). Also in this topic 2 the increase experienced by the experimental
group between the prestest and postets was +3.96 points (+100.30 %) +2.92 points
(+74.93%) that the students of the control group obtained on average, thus improving
by 25.37% more.</p>
      <p>It was also found that the use of the FC provides greater assimilation of long-term
content. Since in the postest of topic 1 performed 4 months after finishing topic 1,
students who used FC obtained a higher average grade and a greater increase from the
first test pretest than the students in the control group as shown in the results.</p>
      <p>The second hypothesis was that students' learning style conditions their academic
performance when using FC compared to traditional class.</p>
      <p>As seen in the results, students' academic performance has varied according to their
learning style. In topic 1 (Fractions) the postest results were very similar, but not so
the increase experienced between the pretest and the postest. Active students using the
FC achieved a 25.84% increase than those in the master class. In contrast, in the item
2, (Geometric Places) students who used reflexive type FC scored an average of
18.65% more score than those in the control group, and a 42.33% increase between
pretest and postest. In topic 3 (polynomials) again active-style FC students are the
ones who achieved the best results, obtaining 26.46% more average postest score than
those of the master class of the same style. Finally, in the postest of topic 1, conducted
4 months later, the FC students of theoretical style were the ones who made the most
difference from those of the traditional class with an increase of 13.28% more.</p>
      <p>We can see that active-style students are the ones who, when using the FC,
improve their academic performance more than those who use the master class. In
addition, that those of theoretical style when using the FC are the ones that best retain
knowledge over time.</p>
      <p>The results obtained in this research will allow teachers to have an approximate
idea of which type of students get the best academic performance when using FC.
Helping to make the decision to use the FC, with a certain group of students, in the
event that you are considering it. For example, if an active learning style
predominates in your class, you will get better academic performance when using FC
than if reflective-style students predominate.</p>
      <p>The research has limitations related to the sample size; the class of 3rd level A had
19 students and the 3rd level B 18 students. In addition, the time students have been
using the FC has been reduced, one quarter. That is why it would be interesting to
replicate research with more students and for longer. A post-test was also planned
after 4 months under topics 2 and 3, but the 2020 pandemic situation prevented it.</p>
    </sec>
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