INTERNATIONAL JOURNAL OF SOCIAL SERVICE AND
RESEARCH |
IMPROVING MATHEMATICS LEARNING OUTCOMES USING DISCOVERY
LEARNING IN CLASS XI SOFTWARE ENGINEERING 1 INFOKOM BOGOR VOCATIONAL HIGH
SCHOOL
Putri Riandini
Mathematics and Science Study Program, Faculty of
Postgraduate, Universitas Indraprasta PGRI, South
Jakarta, Indonesia
Email: [email protected]
Abstract
This study aims to determine how to improve
mathematics learning outcomes by using the Discovery Learning model. This
research is Classroom Action Research (CAR). This research was conducted in 2
cycles, namely, cycle 1 and cycle 2. The research was carried out at Vocational
High School INFOKOM Bogor class XI Software Engineering (RPL) 1 with a total of
25 students, consisting of 17 male and 8 female students. In pre-cycle
activities, the average score obtained by students was 59.4, with the number of
students who completed 9 people (36%). In cycle 1 activities, the average value
of students obtained increased to 70.6 with the number of students who
completed increased to 14 people or by 56%. In cycle 2, the average score of
students increased to 90.6, with the number of completed students increasing to
22 (88%). Referring to the results obtained in cycles 1 and 2, it can be
concluded that the Discovery Learning model can improve mathematics learning
outcomes in class XI Software Engineering 1 Vocational High School INFOKOM
Bogor.
Keywords: discovery learning; mathematics; learning outcomes
Received 03 July 2022,
Revised 14 July 2021,
Accepted 22 July 2022
INTRODUCTION
Mathematics
is a compulsory subject that is taught from elementary to the college level as
stated in the Regulation of the Minister of National Education of the Republic
of Indonesia number 22 of 2006 (Depdiknas, 2006). Mathematical
comprehension is the mental foundation for solving math and daily situations (Sari, Gistituati, & Syarifuddin, 2019). Mathematics
subjects need to be given to all students starting from elementary school to
equip students with logical, analytical, systematic, critical, and creative
thinking skills as well as the ability to cooperate. These competencies are
needed so that students can have the ability to obtain, manage, and utilize
information to survive in conditions that are constantly changing, uncertain,
and competitive.
There
are several competencies or abilities that students must learn and master
during the mathematics learning process in the classroom, including thinking
and reasoning mathematically, arguing and communicating mathematically,
modelling, compiling and solving problems, representations, symbols, and using
and utilizing tools and technology (Shadiq, 2007). Moreover,
Numerical knowledge is essential for other mathematical learnings, and the
necessity of mathematical processes for achieving greater performance in daily
life is underlined (Coronata & Alsina, 2014).
Therefore, learning mathematics is necessary to support learning success at a
higher level or in the face of increasingly developing technology.
Although
several competencies or abilities must be mastered by students, in reality,
students still experience difficulties learning mathematics at school. Many
students still have difficulty solving problems to solve given math problems. Moreover,
in Africa many children struggle with numbers and the four fundamental
operations (Maruyama & Kurosaki, 2021).
This has an impact on student learning outcomes are low.
Pre-cycle
student learning outcomes data shows the average value of students is 59.4.
This can be seen from the data on student learning outcomes carried out in
class XI RPL 1 in Mathematics with three-dimensional material. From these data,
it can be seen that there are still many low student scores, which are still
below the KKM (Minimum Completeness
Criteria). The KKM score that should be obtained is 75. However, from the
number of students, as many as 25 people, only 9 students or about 36%, have
the correct score and are above the KKM. The remaining 16 students, about 64%,
are still below the KKM.
Several
factors affect learning outcomes. Factors that influence learning outcomes
include internal factors consisting of physiological aspects (physical, eye,
ear) and psychological aspects (intellective factors: talent, intelligence and
non-intellectual factors: attitudes, interests, needs, motivation), external
factors consisting of the social environment (family, teachers, community, and
friends), and non-social environment (conditions of the home, school, equipment
around, and nature), and learning approach factors (Syah, 2012).
In addition, students' classroom learning will be more engaging and able to
cultivate critical thinking abilities if they are taught how to conduct
research beginning with simple ways to find a conclusion or knowledge base (Fahmi, Setiadi, Elmawati, & Sunardi, 2019).
One
factor that influences learning outcomes is a teacher's role. A teacher plays
an essential role in improving student learning outcomes in the teaching and
learning process. Therefore, a teacher must develop strategies when teaching so
that students do not feel bored and bored, can play an active role in the
learning process, and can create a pleasant classroom atmosphere. If students
are happy with the class atmosphere, it can also impact the material being
taught. Learning strategy is tactic teachers use to achieve learning
objectives, including approaches, methods, and learning techniques (Kusrini, 2015).
In
mathematics, each concept is related to another concept, and one concept is a
prerequisite for another concept. Therefore, students should be given more
opportunities to learn and explore their learning concepts independently. For
this reason, a learning model is needed that can motivate students to explore
the concept. One learning model that emphasizes this concept is Discovery
Learning.
Discovery
Learning is one of the models in teaching cognitive theory by prioritizing the
teacher's role in creating learning situations that involve students learning
actively and independently. Discovery Learning is learning to find and find
yourself. In this teaching and learning system, the teacher presents lesson
materials that are not final (Widodo, Surabaya, Kampus, & Surabaya, 2015). However, students
can seek and find their own using a problem-solving approach. Discovery
learning or discovery learning models is also defined as learning to understand
concepts, meanings, and relationships, through an intuitive process to conclude
(Mulyana, 2016). Discovery occurs
when individuals are involved, especially in using their mental processes to
find some concepts and principles. Discovery is made through observation,
classification, measurement, prediction, determination and inference.
Bruner
stated that discovery learning is a teaching model that emphasizes the
importance of helping students understand a discipline's structure and key
ideas, the need for active student involvement in learning, and authentic
learning comes through discovery (Nurdyansyah & Fahyuni, 2016). According to
Bruner, the goal of Discovery Learning is that teachers should allow their
students to become problem solvers, scientists, historians, or mathematicians (Ozdem-Yilmaz & Bilican, 2020). Moreover, through
these activities, students will master it, apply it, and find things that are
useful for themselves (Kemendikbud, 2014).
Based on the opinions of the experts above, it can be concluded that Discovery
Learning is a learning model that emphasizes students to be actively involved
in finding a concept independently, where the teacher is only a facilitator,
motivator and mentor.
The
research was conducted to improve student learning outcomes based on the
problems in learning mathematics in class XI RPL 1 INFOKOM Bogor Vocational School.
Therefore, the researcher compiled a study entitled "Improving Mathematics
Learning Outcomes by Using Discovery Learning in class XI RPL 1 INFOKOM Bogor Vocational School.
METHOD
The type of research carried out is Classroom
Action Research (CAR) (Sugiyono, 2013). Classroom Action
Research (CAR) is research conducted by teachers in their classrooms through
self-reflection to improve their performance so that student learning outcomes
increase (Wardani & Wihardit, 2018).
The research was conducted at INFOKOM Bogor
Vocational School, Sindang Barang
Loji Village, West Bogor. The subjects of the Classroom Action Research that
the researcher conducted were students of class XI RPL 1 with a total of 25
students, consisting of 17 male and 8 female students.
The research was carried out in two cycles,
namely, cycle 1 and cycle 2. However, before that, pre-cycle activities were
carried out. Each cycle has 4 stages, namely 1) Planning Phase; 2) Implementation
Phase; 3). Observation Phase, and 4) Reflection Stage. In this study,
researchers used a written test as a post-test to collect data on student
learning outcomes in class XI learning mathematics. In observing the learning
process, researchers used observation sheets.
Student
learning outcomes were obtained from each lesson's final test (post-test). The
data obtained were analyzed by using the percentage
of the number of students divided by the data of children who were completed
and not yet completed. The percentage calculation uses the formula:
RESULTS
AND DISCUSSION
A. Results
Pre-cycle
activities are carried out at the beginning of learning with Three
Dimensional material. A score of 75 is the KKM value (Minimum Completeness Criteria) determined by the Mathematics subject teacher at school. So
if the value is above 75, it is considered complete, and if it is below 75, it
is considered incomplete.
Table 1
Mathematics Post Test Values in Pre-Cycle
No |
Indicators |
Pre-Cycle |
1 |
Lowest
Score |
20 |
2 |
Highest
Score |
100 |
3 |
Average
Score |
59.4 |
4 |
Students who completed |
9
people (36%) |
5 |
Students who did not complete |
16
people (64%) |
The data in Table 1 shows that from a total of 25 students, only 9
scored above the KKM or around 36%. Therefore, improvement is needed. The
results of the improvement in learning mathematics obtained using Discovery Learning include:
1. Results of Learning Improvements in
Cycle 1
The results
of improving learning in cycle 1 using Discovery
Learning have increased. This can be seen in the table of post-test
values for cycle 1 in table 2.
Table 2
Mathematics Post Test Scores in Cycle 1
No |
Indicator |
Cycle 1 |
1 |
Lowest score |
30 |
2 |
Highest score |
100 |
3 |
Average score |
70.6 |
4 |
Students who completed |
14 people (56%) |
5 |
Students who did not finish |
11 people (44%) |
The data in table 2 shows that the number of students who
completed was 14 people, or a percentage was 56%. Students who had not finished
were 14 people or 44%. Compared to the pre-cycle activities that have been
carried out, the actions of cycle 1 have increased, although only slightly.
Figure 1. Student Learning Outcomes of Pre-Cycle - Cycle 1
To improve
the results of pre-cycle activities, improvements were made in cycle 1
activities, namely by using Discovery
Learning. Moreover, it can be seen that after the first cycle of
activities, the number of students who scored above the KKM increased to 14
people or 56%. This means that there is an increase in the number of students
who complete as many as 5 people or an increase of 20% from pre-cycle
activities to cycle 1 activities. There are several
successes and failures contained in the first cycle of action, including:
a)
Some students have started to
discuss in their respective groups actively.
b)
There are still students who do not
want to be involved in the discussion and rely on their group mates. This is
because the student still does not understand the concept of three-dimensional
material.
To follow up on the shortcomings in cycle 1, improvements are
made, including:
a)
They were using learning media,
namely teaching aids in the form of a cube frame, so that students get an idea
about determining the distance between points and the distance from the point
to the line from the frame. The cube.
b)
Stimulate students' thinking power
by involving them in making cube frames and determining the distance between
points and the distance from points to lines in three-dimensional material, and
processing them.
2. Results of Learning Improvements in
Cycle 2
Cycle 2
was carried out to follow up on student learning outcomes in cycle 1 actions
that were less than optimal. Based on the results of the test in the second
cycle of action carried out, it was found that the number of students who
completed was 22 people or the percentage was 88%, and students who had not
completed as many as 3 people or (12%) of the total number of students. The
data are listed in Table 3.
Table 3
Mathematics Post Test Scores in Cycle 2
No |
Indicators |
Cycle 2 |
1 |
Lowest Score |
50 |
2 |
Highest Score |
100 |
3 |
Average Score |
90.6 |
4 |
Students who completed |
22 people (88%) |
5 |
Students who did not complete |
3 people (12 %) |
The results of improving learning in cycle 2 using the Discovery Learning and learning
media, namely teaching aids in the form of a cube frame, have increased from the
action of cycle 1.
Figure 2. Student Learning Outcomes Cycle 1 � Cycle 2
The graph above shows that the number of students who completed
cycle 2 increased. From the beginning of cycle 1, the number of students who
completed as many as 14 people, or 56%, increased to 22 people, or the
percentage was 88%. The number of students who completed from cycle 1 to cycle
2 increased by 8 people or 32% of the number of students in the class. So from the pre-cycle activities to the improvement of cycle
2, there was an increase in the number of students who completed, namely 13
students or 52%. This shows that learning mathematics with Three
Dimensional material using Discovery
Learning and coupled with teaching aids in the form of a cube frame can
be successful or effective. As seen in graph 4.3 below.
Figure 3. Student Learning Outcomes Pre-Cycle - Cycle 1 - Cycle 2
The success in the action of
cycle 2, among others:
1. Increased student learning outcomes. Students take an active role
in their group discussions. This is due to Discovery Learning, which allows students to communicate and be
invited to discuss when they cannot do the given questions.
2. Student motivation also increases, supported by the use of
teaching aids that make students understand more about the concept of building
space because students independently apply the problems
they get into the framework of the cube they make.
B. DISCUSSION
The average value obtained by class XI RPL 1 shows
that the improvement results from cycle 1 using the Discovery Learning increased from 59.4 in pre-cycle activities
to 70.6. This is because, during the learning process in pre-cycle activities,
students have not shown any motivation and learning activities. This is because
the researcher's method is still unable to make students active in learning.
The absence of group discussions caused students to be confused with working on
the problems given by the teacher because there were no friends to discuss.
Students are busy working on their respective questions, which impacts student
learning outcomes and shows a low average score.
The
increase in the average value that occurs from pre-cycle activities to cycle 1
is 11.2. In the learning process in cycle 1, student activities have begun to
be seen. Students are involved in the group discussion process. The learning
model used by researchers is one of the reasons for increasing student activity
and motivation. By using Discovery
Learning, students become more active in solving a problem in the
discussion process. However, the results obtained are still not optimal because
the average value of cycle 1 is still below the KKM. Therefore, the researcher
continued the action of cycle 2 activities.
The
learning process in cycle 2 had shown a significant increase in results by
obtaining an average student score of 90.6. There was an increase in the
average value of 20% from the activity of cycle 1 to cycle 2. If it was
calculated from the activity of pre-cycle to the action of cycle 2, it was
obtained that the increase in the average value was 31.2. The average value
obtained in the improvement of cycle 2 has exceeded the KKM value, so it can be
said that the indicators of success in the action of cycle 2 have been
achieved. This is due to the Discovery
Learning model and the use of learning media as teaching aids that make
students more active in discussion, independent, and critical thinking in the
learning process and also understand concepts in spatial or three-dimensional
structures. The following average values of pre-cycle, cycle 1
and cycle 2 are depicted in the graph below:
Figure 4. The average score of pre-cycle students - cycle 1
- cycle 2
However,
from 100% of the number of students who are expected to complete all of them,
there are 12 % or three students whose grades have not been completed or whose
grades are still below the KKM. After the researchers paid attention, several
factors caused the three students not to be able to work on the questions
given. Some of these factors include: being lazy to read, often staying up late
so that when they are at school, they are sleepy and cannot concentrate on
receiving subject matter, and also rarely going to school, so they often miss
lessons, which confuses when given questions. Therefore, there need to be
further improvements.
CONCLUSION
(1) Discovery Learning, applied to Mathematics with Three Dimensional material, can improve students'
mathematics learning outcomes, (2) By using Discovery Learning, students become
more active and critical by arguing with each other and being active in
learning (3) Student learning outcomes in learning Mathematics increase.
Judging from the results of the tests carried out by students after the
learning activities were completed, the average score in cycle 1 was 70.6,
increasing to 90.6 in cycle 2, with the percentage of students' completeness
from 56% in cycle 1 to 88% in cycle 2 activities, and (4) The use of teaching
aids helps students to be more active, creative, and independent in solving
problems in the learning process. Students become better at understanding the
concept of the third dimension because they prove themselves solving the
problems given.
Coronata, C., & Alsina, �.
(2014). Evaluation of the mathematical processes in the practices of teaching
and learning in childhood education. Procedia-Social and Behavioral Sciences,
141, 1320�1323. Scopus
Depdiknas. (2006). Peraturan Menteri Pendidikan
Nasional Republik Indonesia nomor 22 tahun 2006. Google Scholar
Fahmi, F., Setiadi, I., Elmawati, D., & Sunardi, S.
(2019). Discovery learning method for training critical thinking skills of
students. European Journal of Education Studies. Google Scholar
Kemendikbud. (2014). Kementerian Pendidikan dan
Kebudayaan. 2014. Modul Materi Pelatihan Implementasi Kurikulum 2013 Mata
Pelajaran Matematika SMP/MTs. Jakarta : Kemendikbud.
Kusrini,� et al.
(2015). Strategi Pembelajaran Matematika. Tangerang Selatan: Universitas
Terbuka.
Maruyama, T., & Kurosaki, T. (2021). Do remedial
activities using math workbooks improve student learning? Empirical evidence
from scaled-up interventions in Niger. World Development, 148,
105659. Scopus
Mulyana, A. (2016). Model pembelajaran Discovery
Learning. Retrieved from
https://ainamulyana.blogspot.com/2016/06/model-pembelajaran-discovery-learning.html
Nurdyansyah, N., & Fahyuni, E. F. (2016). Inovasi
model pembelajaran sesuai kurikulum 2013. Nizamia Learning Center. Google Scholar
Ozdem-Yilmaz, Y., & Bilican, K. (2020). Discovery
Learning�Jerome Bruner. In Science Education in Theory and Practice (pp.
177�190). Springer. Google Scholar
Sari, G., Gistituati, N., & Syarifuddin, H. (2019).
The effect of guided discovery learning method toward students� ability in
understanding math concept. International Journal of Educational Dynamics,
1(2), 54�60. Google Scholar
Shadiq, F. (2007). Apa dan mengapa matematika begitu
penting. Departemen Pendidikan Nasional Direktorat Jenderal Peningkatan Mutu
Pendidik Dan Tenaga Kependidikan Pusat Pengembangan Dan Pemberdayaan Pendidik
Dan Tenaga Kependidikan (PPPPTK) Matematika, 1�10. Google
Scholar
Sugiyono, D. (2013). Metode penelitian pendidikan
pendekatan kuantitatif, kualitatif dan R&D. Google
Scholar
Syah, M. (2012). Psikologi Belajar. Jakarta:
Raja Grafindo Persada.
Wardani, I., & Wihardit, K. (2018). Materi
penelitian tindakan kelas. Jakarta: Universitas Terbuka. Google Scholar
Widodo, G., Surabaya, U. N., Kampus, J., &
Surabaya, K. (2015). Pengembangan Dan Implementasi Perangkat Pembelajaran
Berbasis Proyek. Innovation of Vocational Technology Education, 11(1),
41�56. https://doi.org/10.17509/invotec.v11i1.4837. Google Scholar
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