=Paper= {{Paper |id=Vol-3099/paper10 |storemode=property |title=Learning Styles and Flipped Classroom: An Experience in Secondary School |pdfUrl=https://ceur-ws.org/Vol-3099/paper10.pdf |volume=Vol-3099 |authors=Vicent Fornons,Ramon Palau }} ==Learning Styles and Flipped Classroom: An Experience in Secondary School== https://ceur-ws.org/Vol-3099/paper10.pdf
   Learning Styles and Flipped Classroom: An Experience
                   in Secondary School
               Vicent Fornons1[0000-0001-6552-9501], Ramon Palau2[0000-0002-9843-3116]

                          1   Departament d’Educació. Generalitat de Catalunya.
                                           vfonons@xtec.cat
                      2   Departament de Pedagogia. Universitat Rovira i Virgili
                                        ramon.palau@urv.cat



       Abstract. 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.

       Keywords: Flipped Classroom, Mathematics, Academic Results, Secondary
       Education, Learning Style.



1 Introduction

   The FC is a pedagogical model that is based on the investment of time and the role
of students and the teacher [1]. 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 [2]. 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 [3] such as
applying, analyzing, evaluating or creating [4]. Students go from passive recipients in
the traditional model to having an active participation in the FC [5]. 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 [6]. 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
License Attribution 4.0 International (CC BY 4.0).




                                                   1
aspects of the FC [7]. This issue highlights the impact that the FC is currently having
on the world of education and how important it is for its future.
   On the other hand, learning styles in education is one of the most studied fields, but
there is no universal definition of this concept [8]. Despite this, there is a consensus
that it refers to each student's way of learning [9]. Authors such as [10-16], 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) [17].
   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 [18]. This information is nourished by two sources: the learning outcomes and
the assessments of their experiences during their training [19].
   The objective of this research is to analyze the results of students' assessments
based on the learning style.
   This research raises the following hypotheses:
   H1- The academic results of students with active learning style when using the FC
get better results than students who follow the traditional class.
   H2- Students' learning style conditions their academic performance when using FC
compared to traditional class.


2 Theoretical framework

   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 [20]. 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 [21].
   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 [22-29] and [30] among others. On the other hand,
[31] claim that on an algebra issue the academic results were similar in both groups.
   In relation to learning styles, there have been many attempts by researchers to
define them [8]. In the 1940s, researchers focused on cognitive elements or
psychological aspects [32]. 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 [33]. [34] 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 [35]. In the 1990s, [32],
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 [36] he resurfaces interest in the inclusion of the affective, as a
way of indegging to deepen the theory of learning styles. [37] Analyzes different tools




                                            2
and tools to diagnose learning styles and finds only six that analyze cognitive and
affective styles together, among which the CHAEA questionnaire.
   [38] Describes the characteristics of people with predominance in any of the
learning styles, in Table 1 are the main ones.

                    Table 1. Characteristics according to learning style

       Learning style                          Main characteristics
       Active Style          Emphasis on concrete experience. They are students
                             who are fully and unbiasedly involved in new
                             experiences.
       Reflective Style      Emphasis on reflective observation. They are students
                             who like to consider experiences and observe them
                             from different perspectives.

       Theoretical Style     Emphasis on abstract conceptualization. They adapt by
                             integrating observations into logical and complex
                             theories. They approach problems in a vertical.

       Pragmatic Style       Emphasis on active experimentation. Its strong point is
                             the practical application of ideas. They like to act
                             quickly and confidently with those ideas and projects.


   A study conducted by [39] using the CHAEA questionnaire, indicated that learning
styles are not associated with age or gender. On the other hand, [40] found that
learning styles are heterogeneous depending on the university career.


3 Methods

   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.
   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.
   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.




                                             3
   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) [33].
   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.
   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.
   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.
   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.
   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.


4 Results

   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.

                            Table 2. Results of evaluations unit 1

                                            Average pre-       Average
                                                                               Increase
                                             evaluation       evaluation
                                             (pretest 1)      (postest 1)
Active Style        3rd ESO A (Master)          5,03             8,01       +2,98 (+59,24%)
                    3rd ESO B (FC)              4,29             7,94       +3,65 (+85,08%)
Reflective Style    3rd ESO A (Master)          5,31             8,46       +3,15 (+59,32%)
                    3rd ESO B (FC)              5,45             8,13       +2,68 (+49,17%)
Theoretical Style   3rd ESO A (Master)          5,88             8,09       +2,21 (+37,58%)
                    3rd ESO B (FC)              6,11             8,40       +2,29 (+37,47%)




                                              4
Pragmatic Style    3rd ESO A (Master)              4,68            7,95          +3,27 (+69,87%)
                   3rd ESO B (FC)                  4,76            8,01          +3,25 (+68,27%)
TOTAL              3rd ESO A (Master)              5,16            8,10          +2,93 (+56,97 %)
                   3rd ESO B (FC)                  5,09            8,11          +3,02 (+59,33 %)

Table 2 shows the results obtained by students in topic 1 corresponding to that of
fractions belonging to the numbering and calculation block. We can see that the
control group (3rd ESO A) goes from an average of 5.16, in the previous evaluation,
to 8.10, which represents an increase of 2.93 points (+56.97%). On the other hand, the
experimental group (3rd ESO B) in the pretest gets 5.09 and reaches 8.11 in the
postest, which means an increase of 3.02 points (+59.33%). Thus, we can see that the
two groups start from almost the same note and reach it, this is collaborated by the
results obtained with the T-Student test (table 3) for independent samples.


                         Table 3. Results of the T-Student test unit 1

                                                      3rd ESO A             3rd ESO B
                             Pretest     Postest        (Master)               (FC)
                                                     Pretest-Postest      Pretest-Postest
         Active Style         0,301      0,942           <0,001               <0,001
         Reflective Style     0,913      0,776           <0,001               0,002
         Theoretical Style    0,857      0,841            0,011               0,002
         Pragmatic Style      0,940      0,967            0,005               0,003
         TOTAL                0,887      0,983           <0,001               <0,001

   The first two columns in Table 3 correspond to the T-Students test for separate
samples and all their values are p>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.
   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.
   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.
   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<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.




                                               5
                             Table 4. Results of evaluations unit 2

                                            Average pre-       Average
                                                                                   Increase
                                             evaluation       evaluation
                                             (pretest 2)      (postest 2)
                    3rd ESO A (FC)              3,57             7,71        +4,14 (+115,96%)
Active Style
                    3rd ESO B (Master)          2,91              6,5        +3,59 (+123,36%)
                    3rd ESO A (FC)              4,23             8,14         +3,91 (+92,43%)
Reflective Style
                    3rd ESO B (Master)          4,57             6,86         +2,29 (+50,10%)
                    3rd ESO A (FC)              3,56             7,35        +3,79 (+106,46 %)
Theoretical Style
                    3rd ESO B (Master)          4,91             7,34         +2,43 (+49,49%)
                    3rd ESO A (FC)              3,15             6,99         +3,84 (+121,9%)
Pragmatic Style
                    3rd ESO B (Master)          3,54             6,78         +3,24 (+91,52%)
                    3rd ESO A (FC)              3,59             7,55        + 3,96 (+110,30 %)
TOTAL
                    3rd ESO B (Master)          3,91             6,84         +2,92 (+74,93 %)

   Table 4 shows the results obtained by students in topic 2 that corresponded to that
of geometric places belonging to the space and shape block. It can be seen that the
students of the control group (3rd level B) departed with an average of 3.91 in the
pretest and reached 6.84 in the postest, reaching an increase of 2.92 points (74.93 %).
On the other hand, students in the experimental group (3rd level A) went from 3.59 to
7.55 on average with an increase of 3.96 points (110.30%). Thus, in this second topic,
students who used the FC scored an average of 1.04 points (35.37%) more increase
than the students who used the traditional class.

                         Table 5. Results of the T-Student test unit 2
                                                      3rd ESO A            3rd ESO B
                              Pretest    Postest          (FC)              (Master)
                                                     Pretest-Postest     Pretest-Postest
         Active Style        0,352       0,217            < 0,001              0,003
         Reflective Style    0,844       0,427             0,029               0,011
         Theoretical Style   0,234       0,996             0,009               0,013
         Pragmatic Style     0,694       0,903             0,011               0,024
         TOTAL               0,549       0,282            < 0,001             < 0,001

    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>0.05 and the differences in
notes between the pretest and postest obtained are statistically significant.
    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.
    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.




                                                 6
                             Table 6. Results of evaluations unit 3

                                            Average pre-       Average
                                                                                   Increase
                                             evaluation       evaluation
                                             (pretest 3)      (postest 3)
                    3rd ESO A (Master)          3,14             5,83          +2,69 (+85,66 %)
Active Style
                    3rd ESO B (FC)              2,27             4,61          +2,34 (+103,08 %)
                    3rd ESO A (Master)          3,95             6,19          +2,24 (+56,70 %)
Reflective Style
                    3rd ESO B (FC)              3,40             5,53          +2,13 (+62,64 %)
                    3rd ESO A (Master)          2,93             6,58          +3,66 (+124,57 %)
Theoretical Style
                    3rd ESO B (FC)              3,59             7,19          +3,60 (+100,27 %)
                    3rd ESO A (Master)          3,34             5,97          +2,63 (+78,74 %)
Pragmatic Style
                    3rd ESO B (FC)              2,79             5,35          +2,56 (+91,75 %)
                    3rd ESO A (Master)          3,30             6,07          +2,77 (+83,93 %)
TOTAL
                    3rd ESO B (FC)              2,97             5,57          +2,60 (+87,54 %)

Table 6 shows the results obtained in topic 3 corresponding to that of polynomials
belonging to the block changes and relationships. Students in the control group (3rd
level A) get an average of 3.30 in the previous evaluation and increase to 6.07 in the
assessment of the subject, reaching an increase of 2.77 points corresponding to
83.93%. In addition, students in the experimental group (3rd level B) go from 2.97 to
5.57 with an increase of 2.60 points by 87.54%. All and that the increase in the two
chaos is very similar the students of the FC group get a higher percentage increase,
3.61% more.
If you look at the results obtained by each type of learning style, those of the active,
reflective and pragmatic type get a higher percentage increase relative to the control
group. These stand out those of the active type that double the results obtained in the
previous evaluation and obtain a 17.42% increase than those of the control group. On
the other hand, the control group gets the greatest increase in its valuations.

                         Table 7. Results of the T-Student test unit 3

                                                     3rd ESO A             3rd ESO B
                              Pretest    Postest       (Master)               (FC)
                                                    Pretest-Postest      Pretest-Postest
         Active Style        0,220      0,245             0,004               < 0,001
         Reflective Style    0,611      0,624             0,023                0,012
         Theoretical Style   0,535      0,688             0,004               < 0,001
         Pragmatic Style     0,589      0,683             0,028               < 0,001
         TOTAL               0,446      0,423            < 0,001              < 0,001

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.

                    Table 8. Results of unit 1 evaluations after four months
                                             Average       Difference with       Difference with




                                                7
                                                          pre-evaluation       final evaluation
                    3rd ESO A (Master)        6,89       +1,86 (+36,97 %)     -1,11 (-13,98 %)
Active Style
                    3rd ESO B (FC)            6,51       +2,21 (+51,74 %)     -1,43 (-18,01 %)
                    3rd ESO A (Master)        6,84       +1,53 (+28,81 %)     -1,63 (-19,14 %)
Reflective Style
                    3rd ESO B (FC)            7,18       +1,73 (+31,74 %)     -0,96 (-11,68 %)
                    3rd ESO A (Master)        7,30       +1,43 (+24,14 %)      -0,79 (-9,76 %)
Theoretical Style
                    3rd ESO B (FC)            8,27       +2,16 (+35,35 %)      -0,13 (-1,54 %)
                    3rd ESO A (Master)        6,84       +2,16 (+46,15 %)     -1,11 (-13,96 %)
Pragmatic Style
                    3rd ESO B (FC)            7,28       +2,52 (+52,94 %)      -0,73 (-9,11 %)
                    3rd ESO A (Master)        6,95       +1,79 (+34,68 %)     -1,15 (-14,19 %)
   TOTAL
                    3rd ESO B (FC)            7,23       +2,14 (+42,04 %)     -0,87 (-10,85 %)

   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.
   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.

          Table 9. Results of the T-Student test unit 1 (pre-evaluation - 4 months)
                                                      3rd ESO A          3rd ESO B
                             Pretest    Postest         (Master)            (FC)
                                                     Pretest-Postest   Pretest-Postest
        Active Style         0,301       0,623             0,004             0,003
        Reflective Style     0,913       0,730             0,021             0,036
        Theoretical Style    0,857       0,386             0,026             0,029
        Pragmatic Style      0,940       0,653             0,030             0,005
        TOTAL                0,887       0,523            < 0,001           < 0,001

When performing the T-Students test for separate samples and related samples (table
9) we get the same results as in the previous topics.

            Table 10. Results of the T-Student test unit 1 (Evaluation - 4 months)

                                                      3rd ESO A          3rd ESO B
                             Pretest    Postest         (Master)            (FC)
                                                     Pretest-Postest   Pretest-Postest
        Active Style         0,942       0,623             0,016             0,123
        Reflective Style     0,776       0,730             0,005             0,319
        Theoretical Style    0,841       0,386             0,266             0,864




                                              8
        Pragmatic Style      0,967      0,653           0,060             0,418
        TOTAL                0,983      0,523          < 0,001            0,036

Table 10 shows that the improvements obtained by students of a theoretical and
pragmatic type, both in the case of the control and experimental group, are randomly
attributable, are not statistically significant. The same is true of those of the active and
reflective type of the experimental group.


5 Discussion

   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 [22-30].
   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 [31]. 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.


6 Conclusion

   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.
   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.
   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.




                                             9
   The second hypothesis was that students' learning style conditions their academic
performance when using FC compared to traditional class.
   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.
   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.
   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.
   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.


References

1. Berenguer Albaladejo, C.: Acerca de la utilidad del aula invertida o flipped classroom. XIV
   Jornadas de Redes de Investigación En Docencia Universitaria. Universidad de Alicante,
   1466–1480. (2016).Retrieved from http://rua.ua.es/dspace/handle/10045/59358
2. Talbert, R.: Flipped Learning: Aguide for higher education faculty. Sterling, Virginia:
   Stylus Publishing. (2017).
3. Bloom, B. S., Englehart, M. D., Furst, E. J., & Krathwohl, D. R.: Taxonomy of education
   objectives: Cognitive domain. New York: McGraw-Hill. (1956).
4. Santiago, R., & Bergmann, J.: Aprender al revés. Barcelona: Ediciones Paidós. (2018).
   Retrieved       from        https://www.researchgate.net/profile/Raul_Campion/publication/
   327040344_Aprender_al_reves_Flipped_Classroom_30_y_Metodologias_activas_en_el_au
   la/links/5bd0266aa6fdcc204a036718/Aprender-al-reves-Flipped-Classroom-30-y-
   Metodologias-activas-en-el- aula.pdf
5. Prieto, A.: Profesor 3.0: Flipped classroom ¿Cuáles son sus ventajas? ¿Cuál es su origen y
   su evolución posterior? ¿Por qué no es una moda más? ¿Por qué mejora el aprendizaje?
   ¿Por qué deberías leer sobre este modelo en este verano? .(2017). Retrieved July 15, 2020,
   from profesor3punto0.blogspot.com/2016/07/flipped-classroom-cuales-son-sus_7.html




                                             10
 6. Tourón, J., & Santiago, R.: El modelo Flipped Learning y el desarrollo del talento en la
    escuela. Revista de Educacion, (368), 33–65. (2015). https://doi.org/10.4438/1988-592X-
    RE-2015-368-288
 7. Strelan, P., Osborn, A., & Palmer, E.: The flipped classroom: A meta-analysis of effects on
    student performance across disciplines and education levels. Educational Research Review,
    30, 100314. (2020). https://doi.org/10.1016/j.edurev.2020.100314
 8. Hernández, J.: Análisis psicométrico del Cuestionario de Estilos de Aprendizaje Honey
    Alonso        (CHAEA),         (Septiembre),      0–58.     (2010).     Retrieved      from
    https://www.researchgate.net/publication/270578555_Analisis_psicometrico_del_Cuestion
    ario_de_Estilos_de_Aprendizaje_Honey_Alonso_CHAEA
 9. Coto, M.: Descubrimiento del estilo de aprendizaje dominante de estudiantes de la carrera
    de tecnología en análisis de sistemas. Revista Educación, 44(1), 193–202. (2020).
    https://doi.org/https://doi.org/10.15517/revedu.v44i1.38571
10. Felder, R., & Silverman, L.: Estilos de aprendizaje y enseñanza In Engineering Education.
    Engineering Education, 78(7), 674–681. (1988).
11. Gardner, H.: Frames of mind. The theory of multiple intelligences. New York: Basic books.
    (1983).
12. Guild, P., & Garger, S.: Marching to Different Drummers. Virginia: ASCD-Association for
    Supervision and Curriculum Development. (1998).
13. Honey, P.: Improve your people skills. Buckingham: Institute of Personel Management.
    (1988).
14. Hunt, D.: Student Learning styles: diagnosis and prescribing program. Virginia: Reston.
    (1978).
15. Kolb, D.: The Learning Style Inventory: Technical Manual. Boston: McBer. (1976).
16. Lozano, A.: Estilos de Aprendizaje y Enseñanza. Un panorama de la estilística educativa.
    México: Trillas. (2000).
17. Gutiérrez, M., & García, J.: Estudio comparativo de los estilos de aprendizaje del alumnado
    que inicia sus estudios universitarios en diversas facultades de Venezuela, México y
    España. Journal of Learning Styles, 4(7). (2011).                         Retrieved from
    http://learningstyles.uvu.edu/index.php/jls/article/view/50
18. Gorghiu, G., Anghel, G. A., & Ion, R.-M.: Students’ Perception Related to a Responsible
    Research and Innovation Demarche. Procedia - Social and Behavioral Sciences,
    180(November 2014), 600–605. (2015). https://doi.org/10.1016/j.sbspro.2015.02.166
19. Salas Perea, R., & Salas Mainegra, A.: La educación en el trabajo y el individuo como
    principal recurso para el aprendizaje. Edumecentro, 6(1), 1–13. (2014).
20. Bergmann, J., & Sams, A.: Flip your classroom: Reach every student in every class every
    day. Washington, D.C.: International Society for Technology in Education. (2012).
21. Parslow, G. R.: Multimedia in Biochemistry and Molecular Biology Education
    Commentary : Critical Thinking. Biochemistry and molecular biology education, 33(5),
    371. (2005). https://doi.org/10.1002/bmb20642
22. Belmonte, J. L., Cabrera, A. F., Núñez, J. A. L., & Sánchez, S. P.: Formative transcendence
    of flipped learning in mathematics students of secondary education. Mathematics, 7(1226),
    1–14. (2019). https://doi.org/10.3390/MATH7121226
23. Chen, S. C., Yang, S. J. H., & Hsiao, C. C.: Exploring student perceptions, learning
    outcome and gender differences in a flipped mathematics course. British Journal of
    Educational Technology, 47(6), 1096–1112. (2015). https://doi.org/10.1111/bjet.12278
24. Esperanza, P., Fabian, K., & Toto, C.: Flipped Classroom Model: Effects on Performance,
    Attitudes and Perceptions in High School Algebra. DM Review, 9891, 85–97. (2016).
    https://doi.org/10.1007/978-3-319-45153-4_7
25. Hung, C. Y., Sun, J. C. Y., & Liu, J. Y.: Effects of flipped classrooms integrated with
    MOOCs and game-based learning on the learning motivation and outcomes of students




                                              11
      from different backgrounds. Interactive Learning Environments, 27(8), 1028–1046. (2018).
      https://doi.org/10.1080/10494820.2018.1481103
26.   Kumar, K., Chang, C., & Chang, C.: International Forum of Educational Technology &
      Society The Impact of the Flipped Classroom on Mathematics Concept Learning in High
      School. Educational Technology & Society, 19(3), 134–142. (2015).
27.   Ni, M., Kwok, L., Zhen, L., Xie, Y., Long, H., Zheng, X., & Li, W.: Preface. Lecture Notes
      in Computer Science (Including Subseries Lecture Notes in Artificial Intelligence and
      Lecture Notes in Bioinformatics), 9167, 243–254. (2015). https://doi.org/10.1007/978-3-
      319-20621-9
28.   Song, Y., & Kapur, M.: How to Flip the Classroom – “ Productive Failure or Traditional
      Flipped Classroom ” Pedagogical Design ? Journal of Educational Technology & Society,
      20(1), 292–305. (2017). Retrieved from https://www.jstor.org/stable/jeductechsoci
      .20.1.292?seq=1
29.   Stroh, H. R., & Sink, C. A.: Applying APA’s Learner-Centered Principles to School-Based
      Group Counseling. Professional School Counseling, 6(1), 71–78. (2002). Retrieved from
      http://search.ebscohost.com/login.aspx?direct=true&db=eric&AN=EJ655213&site= ehost-
      live
30.   Wei, X., Cheng, I. L., Chen, N. S., Yang, X., Liu, Y., Dong, Y., Kinshuk.: Effect of the
      flipped classroom on the mathematics performance of middle school students. Educational
      Technology Research and Development. (2020). https://doi.org/10.1007/s11423-020-
      09752-x
31.   Kirvan, R., Rakes, C. R., & Zamora, R.: Flipping an Algebra Classroom: Analyzing,
      Modeling, and Solving Systems of Linear Equations. Computers in the Schools, 32(3–4),
      201–223. (2015). https://doi.org/10.1080/07380569.2015.1093902
32.   Rayner, S., & Riding, R. J.: Towards a categorizations of cognitive styles and learning.
      Educational Psychology 17. (1997).
33.   Alonso, C., Gallego, D., & Honey, P.: Los estilos de aprendizaje. Procedimientos de
      diagnóstico y mejora. Annals of Physics, 54(2). (1997). Retrieved from
      http://www.mendeley.com/research/no-title-avail/
34.   Dunn, R., & Dunn, K.: Teaching students thought their individual learning styles: A
      practical approach. Englewood Cliffs: Prentice Hall. (1978).
35.   Hervás, R. M., & Hernández, F.: Diferentes formas de enseñar y aprender: estilos y
      enfoques de aprendizaje y su aplicación en contextos educativos. (2004). Retrieved from
      http://mural.uv.es/salmama/03_52_25_Abstract_rosa_hervas.pdf
36.   Goleman, D.: Working with emotional intelligence. New York: Bantam books. (1998).
      Retrieved from http://www.resumido.com
37.   Gallego, D.: Diagnosticar los Estilos de Aprendizaje. In Conferencia del I Congreso
      Internacional de Estilos de Aprendizaje. Madrid. (2004). Retrieved from
      http://scholar.google.com/scholar?hl=en&btnG=Search&q=intitle:Diagnosticar+los+Estilos
      +de+Aprendizaje#1
38.   Alonso, C. M., Gallego, D. J., & Honey, P.: Los estilos de aprendizaje. Bilbao: Mensajero.
39.   Padierna-Luna, J. Oseguera-Rodríguez, L. J. y Gudiño- Hernández, N. (2009). Factores
      socio académicos, estilo de CHAEA aprendizaje, nivel intelectual y su relación con el
      rendimiento académico previo de médicos internos de pregrado. Educación Médica. 12(2),
      91-102. (1997).
40.   Castillo, M. V; Bracamonte, E. A; De La Rosa, F; Sandoval, C. R. y Morales, J. E.:
      Relación entre el estilo de aprendizaje de los estudiantes de primer ingreso a la Facultad de
      Ingeniería y su rendimiento en el curso Matemática Básica 1. Revista social. Recuperado el
      19         de        julio        de        2010.       (2009).        Retrieved         from
      http://digi.usac.edu.gt/bvirtual/revista2009/resumenes/educacion/Estilos%20de%20Aprendi
      zaje.pdf. Cohen,




                                                 12