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2, No. 3 March 2023 - (161-170)![]()
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FACTORS INFLUENCING CREATIVE THINKING IN
PROBLEM-SOLVING
Agus Jaenudin
Universitas Sebelas April, Sumedang,
Indonesia
Emails: agusjaenudin@unsap.ac.id
ABSTRACT:
Creativity is one of the essential components of
21st-century education. Someone is said to be creative if they can think
creatively. So creative thinking becomes one of the focuses in mathematics
education. However, some research shows students' creative thinking in solving
problems is still low. Therefore, analyzing what factors affect creative
thinking in solving problems is necessary. The research was conducted on
7th-semester students who have taken transformation geometry courses with
qualitative research methods. The data is retrieved using tests, interviews,
and study documents. The analysis showed that factors that influence creative
thinking in solving problems include learning conducted by the learning model,
teaching materials used, academic ability, and non-cognitive factors such as
students' attitude towards learning and test questions and confidence in their
abilities.
Keywords: Faktor Influencing, creative,
and creative in solving problems
Article History
Received: 10 February
2023
Revised: 10 March 2023
Accepted: 14 March 2023
DOI: xxx
INTRODUCTION
One of
the main components in 21st-century education is creativity (Sternberg,
2006) Sternberg, 2012; (Navarrete,
2013) (Tindowen
et al., 2017) (Kawuryan
et al., 2018) (Suryandari
et al., 2018). Creativity is undoubtedly needed in producing
innovation. Creativity is often interpreted as thinking related to ideas,
imagination, inspiration, intuition, and ingenuity. Torrance (Maharani,
2014) defines creativity as being sensitive to
problems, understanding knowledge gaps or barriers, identifying difficulties,
finding solutions, formulating hypotheses, modifying and testing developed
ideas, and communicating the results. If one can think creatively, then this
creativity will be born. Therefore, the contemporary curriculum emphasizes
developing creative thinking skills for learners (Vale &
Barbosa, 2015) (Sternberg,
2006) (Drigas
& Papoutsi, 2018) (Apriliani
& Suyitno, 2016)m. So creative thinking becomes one of the
focuses of mathematics education.
(Pehkonen,
1997) Creative thinking is a logical and
divergent high-level thinking skill to build new ideas triggered by different
and challenging problems. Logical thinking involves systematic and rational
processes verifying and making valid conclusions (Siswono,
2010). At the same time, divergent thinking is
seen as a mental operation that demands the use of creative thinking abilities,
including smoothness,
flexibility,
originality, and elaboration in mathematics problem-solving and problem-posing (Haylock,
1997) (Silver,
1997).
Creative
thinking is a whole set of cognitive activities individuals use according to
specific objects, problems, and conditions or types of efforts towards
particular events and situations based on individual capacity (Birgili,
2015). This aligns with (Potur
& Barkul, 2009), which defines creative thinking as an
original cognitive ability and problem-solving process that allows individuals
to use their intelligence uniquely and be directed towards an outcome.
According
to (Silver,
1997) and (Mann,
2005), Creative thinking in mathematics
emphasizes fluency, novelty, and flexibility. Furthermore, in solving problems,
students can think creatively if they can show creative thinking
characteristics in their thinking process. Based on Wallas's
theory (Kattou et
al., 2015), the creative thinking process consists
of four stages: preparation stage, incubation stage, illumination, and
verification stage. The locations of creative thinking in detail can be seen in
the table below.
Table1.
Stages of Creative Thinking According to Wallas
|
Stages of Creative Thinking According to Wallas |
Description of Creative Thinking Stages |
|
Preparation |
Able to collect various
information relevant to the given
problem. |
|
Incubation |
Temporarily escapes from the problem and
tries to find inspiration. During the incubation stage, the emerging ideas will be interconnected and arranged in mind without directly working on the problem. |
|
Illumination |
Start to raise an idea or idea that
solves the problem. |
|
verification |
Solutions obtained at the illumination stage need to be
identified, examined, refined or developed
at the verification stage to get conclusions. |
Based on
the above definition, creative thinking in solving problems is an important
thing that needs to be mastered by students. Therefore, prospective students of
mathematics teachers need to have creative thinking skills in solving math
problems. However, some research shows that the ability to think creatively in
solving problems is still lacking. Based on (Maharani
et al., 2017), only 16.67% are complete in creative
thinking in solving problems. Also analyzed creative
thinking in solving problems. The results showed that the highest students were
reasonably clever, not to arrive at a very creative condition. In solving the
problem, of course, searching to determine what factors cause low creative
thinking in solving problems is necessary.
RESEARCH METHODS
This study aims to determine factors affecting students' low creative thinking
in solving math problems. The research was conducted at STKIP Sebelas in April with 7th-semester students who have taken
geometry transformation courses. The method used in this study is qualitative.
Where the data collection is done using written tests, interviews, and document
studies. Reported test results are the primary data source to uncover the
factors that cause students' low creative thinking in solving the problem of
transformation geometry. The written test is a matter of creative thinking in
solving the problem of transformation geometry consisting of 4 questions in the
description. Static reasoning tests were conducted in one class of 24 people.
Researchers did not interview all students who had attended the geometry
transformation course; only nine people were interviewed. Students are selected
for interviews based on test results and activities during learning. Document
studies are conducted on the teaching and implementation of tests. Data
analysis is performed using the Fixed Comparison method. In general, the
process of data analysis includes data reduction, data categorization,
synthesis, ending with working hypotheses.
RESULTS AND
DISCUSSION
Students' creative thinking skills and causal
factors are collected by conducting written
tests, interviews, and documentation studies. However, the first is
a written test of mathematical creative thinking skills in solving the problem of transformation geometry. Written tests are used as early identification
of creative thinking skills in solving transformation geometry problems. Researchers carefully correct student work results as an initial analysis,
then recapitulate by grouping student
answers into correct, incomplete, incorrect, and non-answering. The results of the recapitulation
can be seen
in Table 2.
Table 2. Recapitulation
of Creative Thinking Test Answers
in Solving Transformation Geometry Problems
|
No
Test |
|
|
Answer (person) |
||
|
Problem Indicators |
True |
Incomplete |
Wrong |
No
Answer |
|
|
1 |
Use isometrics to troubleshoot problems |
2 |
6 |
0 |
15 |
|
2 |
Determine the isometric of a
transformation |
0 |
20 |
2 |
1 |
|
3 |
Specify point
mirroring on a
line |
1 |
1 |
21 |
0 |
|
4 |
Specify
points on parallelograms
with directional line
segments |
0 |
10 |
0 |
13 |
Researchers conducted further analysis by analyzing each student's work to determine which stage
students have difficulties. The steps of creative thinking used in this study
are those proposed by Wallas (Kattou,
Christou Pitta, Christou and Pitta, 2016), which consists of four stages:
preparation and incubation, illumination stage, and verification stage. The
student's creative thinking analysis results in solving the problem of
transformation geometry show that students have difficulty at each stage of
creative thinking. In contrast, students have many issues at the location of
the process (Incubation and illumination) and the verification stage.
After analyzing the
students' answers, interviews were also conducted with students about the test
questions, learning, and teaching materials. The interview was born with nine
students, where the student represented a high, medium, and low group that
researchers obtained from academic grades (GPA) the previous semester. Table
4.3 summarises the results of the interview analysis of test questions,
learning, and teaching materials used.
Table 3. Summary of Interview Results
|
Students |
Test Questions |
Learning |
Teaching Materials |
|
R |
·
Do not understand the
problem well, so tend to copy what is described in the
question. ·
When working
on it. I feel
anxious and do not know how to solve it. ·
Some students work but are unsure of the answers they are
working on. ·
The problem is given on the
test, different from
the usual question |
· Students feel that
the learning is not allowing them to express ideas. · Teachers only focus on highly qualified students. |
·
Teaching
materials felt by students back and forth ·
Terms
in some teaching materials are different, making it difficult for them to
understand them |
|
S |
· I
understand the question well, but some
things are still written in sentences. Not in
mathematical form · Know how
to solve problems · Some of the students did not re-examine the
results of the work · The
questions given are not like the usual practice questions, but they know what concepts to use to solve
them |
· The
learning does not allow them to explore
their abilities. · The
learning tends to be centred on lecturers. Students are passive, and lecturers sometimes ask
only a few students to explain the results of the work. |
· Teaching materials are lacking especially pre-quality materials. · The term teaching materials is not the same,
so it is best to use customized teaching materials. |
|
Students |
Test Questions |
Learning |
Teaching Materials |
|
T |
· Students can understand the problem and write
the information according to the mathematical term. · Knowing how to solve it, some ideas come up to finish. · Some students spend
in different ways. · They believe the work
is correct because they double-check
their work before collecting it. |
Students are satisfied
with the learning, but the training questions provided are less challenging for them. |
Different terms sometimes confuse students. |
Figure 1. Interviews with Several Students

In
addition to conducting tests and interviews, studies of documents used in
learning are conducted. Document studies are conducted during the teaching and
implementation of tests. There are still few books on Transformation Geometry
in Indonesian. Each book that researchers analyze uses a different mathematical
term. For example, for "Mirroring" in the book Agile Geometry
Transformation Works (Kurniasih &
Handayani, 2017) using the symbol "R," while in the book
Geometry Transformation (Setyo & Ba’diah,
2021) using the symbol "μ." In addition to the
differences in terms, there are differences in the order of matter. (Setyo & Ba’diah,
2021), Transformation and reverse transformation
composition materials are given before isometry. In understanding the material
composition of change and reverse conversion, students must realize isometric
material first. In addition to the analysis of teaching materials, analysis of
RPS documents is also usually used. RPS, commonly used in the mathematics
education program STKIP eleven April Sumedang learning
method, is still centred on lecturers. So students
are allowed to express their ideas. Besides, the questions given are procedural
ones that do not explore students' concept knowledge. Document analysis is also
conducted on student academic achievement, where some students have less
ability in prerequisite Geometry Transforamasi
courses.
Based
on the analysis done on the test results, interviews, and document studies
conducted, broadly speaking, the factors that cause low creative thinking of
students in solving the problem of geometry transformation are learning factors
and student factors. This study's results are in line with those (Hendriana &
Fadhillah, 2019) (Qadri, Ikhsan, and Yusrizal (2019) mentioned that the lack of creative
thinking in mathematics learning is due to the learning model used by teachers.
The learning factor in question is that the teaching does not provide students
with opportunities to express the ideas they get at the time of learning. In
addition to the learning model used, teaching materials are also factors that
cause low creative thinking of students in solving the problem of
transformation geometry. In contrast, the student factors in question are
cognitive and non-cognitive. Cognitive factors here are related to students'
academic abilities, especially in materials related to transformational
geometry. Non-cognitive factors are student anxiety when learning mathematics
and completing test questions and students' confidence in their abilities.
The
results showed that one of the factors that cause low learning is that the
teaching does not allow students to express ideas. As stated (by Rusilowati &
Wahyudi, 2020), creativity is growing because of opportunities to
provide opportunities to students. Some studies show that learning that
supports student creativity positively influences creative thinking (Mann, 2005) (Tabach &
Friedlander, 2013) (Walia, 2012). Therefore, a learning environment is needed that
provides opportunities for students to develop ideas that can support the
growth of creative thinking students in solving the problem of geometry
transformation. As suggested by (Kozlowski et al.,
2019), the teacher's approach to a learning environment
that fosters the affective nature of students could foster creative thinking in
mathematics. Therefore, developing a learning model allowing students to
express their ideas is necessary.
In
addition to the learning model, the teaching materials used have a role in
students' low creative thinking in solving the problem of transformational geometry.
Suitable teaching materials should be used by students independently, thus
providing many opportunities for students to learn them. Besides, the teaching
materials used should present problems that solve them do not use the usual
algorithms/procedures to train students when asked to solve problems in
different forms. As stated (Hidayat &
Prabawanto, 2018), it does not happen that when required to think
creatively in solving problems, the solution still uses the usual
procedures/algorithms. Therefore, it is necessary to develop teaching materials
in mathematics learning, especially transformation geometry materials. As
stated (by Siniguian 2017), teaching materials are one solution to overcome
learners' difficulties in solving mathematical problems. Of course, the
teaching materials developed must contain strategies that can help students
solve problems (Fitriyah et al.,
2018).
Academic
ability is the next factor that causes students' low creative thinking in
solving transformational geometry. This is following research conducted by (Samsiyah &
Rudyanto, 2015) (Maharani et al.,
2017) (Sari et al., 2017) (Puspitasari et al.,
2018) and (Yayuk & As’ ari,
2020) stated that students with low abilities showed that
they had difficulty in understanding problems, in contrast to high-ability
learners who could solve problems. Learning conducted should facilitate all
students with low, medium, and high academic abilities.
Other
factors that cause students' lack of creative thinking in solving
transformation geometry problems are non-cognitive factors such as students'
attitudes towards learning and test questions and students' belief in their
abilities. The results of (Semeraro et al.,
2020) show that non-cognitive factors (mathematical
anxiety and self-esteem) influence the results of mathematics learning.
Therefore, developing a learning strategy that provides opportunities for
students to develop their cognitive abilities and knowledge that pays attention
to learners' non-cognitive aspects is necessary.
CONCLUSION
Based
on the analysis done on the test results, interviews, and document studies
conducted, broadly speaking, the factors that cause low creative thinking of
students in solving the problem of geometry transformation are learning factors
and student factors. The learning factor in question is that the learning done
does not provide students with opportunities to express the ideas they get at
the time of knowledge. In addition to the learning model used, teaching
materials are also factors that cause low creative thinking of students in
solving the problem of transformation geometry. In contrast, the student
factors in question are cognitive and non-cognitive. Cognitive factors here are
related to students' academic abilities, especially in materials related to
transformational geometry. Non-cognitive factors are student anxiety when
learning mathematics and completing test questions and students' confidence in
their abilities.
From
the discussion and conclusion above, students' creative thinking in solving the
problem of transformation geometry is influenced by learning models, teaching
materials, academic ability, and non-cognitive factors. Thus, a learning model
and tools are needed to support students' creative thinking. The author
suggests that in helping creative thinking, students need to develop a learning
model that involves the provision of problems and, at the same time, the
discovery of solutions and the use of learning modules as learning media.
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Agus Jaenudin (2023) |
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First publication right: Asian Journal of Engineering, Social and Health (AJESH) |
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