scholarly journals PROFIL METAKOGNISI SISWA SMA DALAM MENYELESAIKAN SOAL CERITA PADA MATERI SISTEM PERSAMAAN LINEAR TIGA VARIABEL DITINJAU DARI KEMAMPUAN MATEMATIKA

2021 ◽  
Vol 5 (1) ◽  
pp. 37
Author(s):  
Anggun Vita Loka ◽  
Rini Setianingsih

Abstrak — Metakognisi dapat membantu siswa untuk meningkatkan keterampilan berpikirnya. Hal ini dikarenakan siswa sadar terhadap proses berpikirnya sendiri dan siswa dapat mengevaluasi hasil dari proses berpikirnya. Sehingga siswa dapat memperkecil kesalahan dalam menyelesaikan suatu masalah serta dapat mengatur rencana yang tepat dalam menyelesaikan suatu masalah. Dengan demikian siswa yang melibatkan metakognisinya dalam menyelesaikan suatu masalah akan jauh lebih baik proses belajarnya. Tujuan penelitian ini untuk mendeskripsikan profil metakognisi siswa SMA dalam menyelesaikan soal cerita pada materi sistem persamaan linear tiga variabel dengan kemampuan matematika tinggi, sedang dan rendah. Penelitian ini adalah penelitian deskriptif kualitatif yang dilaksanakan pada kelas XI SMAN 1 Kota Probolinggo tahun ajaran 2020/2021. Subjek yang dipilih yaitu satu subjek yang masing-masing mewakili kemampuan matematika tinggi, sedang dan rendah. Cara memilih seorang subjek yang mewakili satu kemampuan matematika tinggi, sedang dan rendah yaitu subjek yang memiliki dominan pada kemampuan matematika tersebut. Instrumen penelitian terdiri dari tes kemampuan matematika, tes soal cerita dan pedoman wawancara. Hasil penelitian menunjukkan bahwa subjek dengan kemampuan matematika tinggi dalam memahami soal cerita dapat melaksanakan aktivitas metakognisi merencanakan (planning), memantau (monitoring), dan mengevaluasi (evaluating) pada tahap memahami masalah, membuat rencana pemecahan masalah, melaksanakan rencana pemecahan masalah dan memeriksa kembali hasil yang diperoleh. Subjek dengan kemampuan matematika sedang dan rendah dalam memahami soal cerita dapat melaksanakan aktivitas metakognisi merencanakan (planning), memantau (monitoring), dan mengevaluasi (evaluating) pada tahap memahami masalah, membuat rencana pemecahan masalah, melaksanakan rencana pemecahan masalah namun tidak pada tahap memeriksa kembali hasil yang diperoleh.Kata kunci: Metakognisi, Soal Cerita, Sistem Persamaan Linear Tiga Variabel, Kemampuan Matematika.Abstract — Metacognition can help students improve their thinking skills. This is because students are aware of their own thinking processes and students can evaluate the results of their thinking processes. So that students can minimize errors in solving a problem and can set the right plan in solving a problem. Thus students who involve their metacognition in solving a problem will have a much better learning process. The purpose of this study was to describe the metacognition profile of high school students in solving storyproblems on three-variable linear equation system material with high, medium and low math abilities. This research is a qualitative descriptive study conducted in class XI of SMAN 1 Kota Probolinggo in the academic year 2020/2021. The selected subject is one subject, each of which represents high, medium and low math abilities. How to choose a subject that represents a high, medium and low math ability, that is, a subject that has dominance in that math ability. The research instrument consisted of a math ability test, astory question test and an interview guide. The results showed that subjects with high mathematical skills in understanding story problems could carry out planning, monitoring, and evaluating activities at the stage of understanding the problem, making problem-solving plans, implementing problem-solving plans and reexamining the results. which is obtained. Subjects with moderate and low mathematical skills in understanding story problems can carry out planning, monitoring, and evaluating activities at the stage of understanding the problem, making problem-solving plans, implementing problem-solving plans but not at the re-checking stage. the results obtained.Keywords: Metacognition, Story Questions, Three Variable Linear Equation Systems, Mathematics Ability.

2021 ◽  
Vol 9 (2) ◽  
pp. 233-243
Author(s):  
Lihar Raudina Izzati ◽  
Erlinda Rahma Dewi ◽  
Andika Wisnu

Problem-solving ability is a characteristic of mathematical activities and a major ability in developing mathematical understanding. Mathematical problem-solving ability can be seen from several dimensions, one of which is cognitive style. Cognitive style is a unique way for each individual to acquire, process, store, use the information to respond to tasks or situations, and build knowledge. FD and FI cognitive styles are one type of cognitive style that are categorized by general ways of thinking, solving problems, learning, and dealing with other people so that they have a relationship with problem-solving abilities. The subjects in this study involved 72 students (around the age of 13-14 years), namely 33 students with FD cognitive style and 39 students with FI cognitive style. The problem-solving ability test instrument in this study was a mathematical problem-solving ability test that had been validated by experts and tested for reliability. The cognitive style test instrument is the Group Embedded Figure Test (GEFT) item developed by Witkin. The problem-solving ability of junior high school students with FI cognitive style is better than FD students even though the difference is not much different.


2017 ◽  
Vol 5 (2) ◽  
pp. 1068
Author(s):  
Anik Indrayani ◽  
Endang Susantini ◽  
Wahono Widodo

This research was aimed to describe the effectiveness of learning materials taht developed using problem solving model to facilitate junior high school students’ creative thinking skills on global warming. This research was done because the problem solving model’s learning materials to facilitate students’ creative thinking skill was less available. Learning in schools was tend to emphasize the aspects of knowledge only, whereas creative thinking skill was an important skill possessed in the 21st century. Applying creative thinking skill in problem solving would generate a lot of ideas that were useful in finding solution. The learning materials were developed using 3D model and one group pretest-posttest design was used as the trial design. The subject in this study was learning materials that was implemented on 7th grade students of SMP Negeri 1 Kediri. The results showed that the students' creative thinking skills both in general and each indicator increased. Based on the results and discussion of the study, it can be concluded that the learning materials using problem solving method were effective to facilitate junior high school students’ creative thinking skills on global warming. Penelitian ini bertujuan untuk mendeskripsikan keefektifan perangkat pembelajaran yang dikembangkan dengan model problem solving untuk melatihkan keterampilan berpikir kreatif siswa SMP pada materi pemanasan global. Hal ini dilakukan karena perangkat pembelajaran dengan model problem solving untuk melatihkan keterampilan berpikir kreatif kurang tersedia. Pembelajaran di sekolah cenderung menekankan pada aspek pengetahuan saja, padahal keterampilan berpikir kreatif merupakan skill yang penting dimiliki pada abad 21. Penerapan berpikir kreatif dalam problem solving akan menghasilkan banyak ide yang berguna dalam menemukan penyelesaian masalah. Perangkat pembelajaran dikembangkan menggunakan model 3D dengan rancangan ujicoba penelitian one group pretest-posttest design.  Subyek dalam penelitian ini adalah perangkat pembelajaran model problem solving yang diujicobakan pada 32 siswa SMP Negeri 1 Kediri kelas VII. Hasil penelitian menunjukkan bahwa keterampilan berpikir kreatif siswa baik secara umum maupun tiap indikator meningkat. Berdasarkan hasil penelitian dan diskusi hasil penelitian dapat disimpulkan bahwa perangkat pembelajaran model problem solving efektif untuk melatihkan keterampilan berpikir kreatif siswa SMP pada materi pemanasan global.


Author(s):  
Mirunnisa Mirunnisa ◽  
Zulfa Razi

The ability to think critically in mathematics, especially high-level mathematical critical thinking, is needed by students so that students are able to face changing circumstances or challenges that exist in life that is always developing. Graded response models (GRM) are used in order to display the estimated item parameters and students' abilities. This research is a descriptive study with a qualitative approach. Subjects in this study using SMA Simpang Tiga in terms of their mathematical critical thinking skills. Subjects were taken using a mathematical critical thinking ability test, then processed through Microsoft Excel to obtain a Graded Response Models (GRM) graph.Based on data analysis Students can be categorized as highly skilled, in general students can determine the concept of the problem correctly, are able to formulate problems in solving problems, are able to provide reasons and arguments clearly, but students are less able to evaluate problems in solving problems. Students who are categorized as having moderate ability, students can determine the concept of the problem correctly, are able to formulate problems, but students are less clear in providing reasons and arguments clearly, and are less able to evaluate the problems contained in solving problems. Students who are categorized as low, students are able to determine the concept correctly, but students are less able to formulate problems, and students are unable to provide clear reasons.


2017 ◽  
Vol 2 (2) ◽  
pp. 42 ◽  
Author(s):  
Nani Ratnaningsih

<p>This research implements Problem Based Learning and Discovery Learning model  to analysis the increase of mathematical creative thinking skills, mistakes in the process of mathematical creative thinking, and self-efficacy of high school students  in Tasikmalaya.  The research  method  used is descriptive,  data collection  techniques  through  creative thinking ability tests and questionnaires mathematics self-efficacy. The instruments were previously assessed by experts in mathematics education. Based on the data analysis, it is concluded that the mathematical creative thinking abilities of students through Problem Based Learning is increasing compared to the mathematical creative thinking abilities of students through Discovery Learning. Mistakes students of mathematical creative thinking processes in Problem Based Learning, generally on flexibility and originality indicators. While at Discovery Learning, mistakes students of mathematical creative thinking processes is generally on sensitivity, flexibility and originality indicators. Flexibility is solving the problem with a variety of different ways, but the result is the same, and originality is to solve the problem in its own way does not use a standard formula. Sensitivity is the ability to detect problems. Self-efficacy of students in Problem Based Learning and Discovery Learning are both at high qualifications.</p>


2017 ◽  
Vol 6 (1) ◽  
pp. 37 ◽  
Author(s):  
Julita Julita

This study is aimed to examine the quality of quantum learning imfluence toward the enhancement of mathematical problem solving ability of Senior High School students, both viewed entirely and based on mathematical initial ability (MIA) category.  In particular, this study is aimed to examine enhancement difference of students’ mathematical problem solving ability in a whole and in each level of mathematical initial ability (high, medium and low) between students who receive quantum learning and students who receive conventional learning. This study use experimental quasi with pretests-posttest control group design.  Population of this study are Senior High School students in Bogor City. Data is obtained through problem solving ability test and mathematical initial ability data. The result of study showed that students who receive quantum learning have enhancement of mathematical problem solving ability which is higher than students who receive conventional learning. There is no difference enhancement of mathematical problem solving ability both entirely and in each level of mathematical initial ability, except for students with high level of initial mathematical ability


MATHEdunesa ◽  
2020 ◽  
Vol 9 (2) ◽  
pp. 402-411
Author(s):  
Safirah Viki Amalina ◽  
Rooselyna Ekawati

Problem solving is one of several important abilities a student must have. Problem solving is a planned process that mustbe done in order to get a certain solution of a problem that is not obtained immediately. One type of problem studentsmust solve is an open-ended problem. Open-ended problem solving for every student is certainly different from oneanother. The level of mathematical ability of students is one of the factors that influence these differences. This type ofresearch is a qualitative descriptive with the purpose to describe the profile of open-ended problem solving based onPolya’s steps viewed from mathematical ability level of junior high school students. Three students from grade VII arethe subjects in this research (one student having high mathematical ability, one student having moderate mathematicalability, and one student having low mathematical ability). This research uses instruments mathematical ability test, openended problem solving test, and interview guidelines. The results showed there were differences in the open-endedproblem solving profile on students with high, moderate, and low mathematical ability. Student with high mathematicalability can carry out all the steps of Polya’s problem solving. Student with moderate mathematical ability are able to carryout the step of understanding the problem, devising a plan, carrying out the plan, however there are indicators that are notfulfilled at looking back’s step they are using the other way to solve the problem and make conclusion. Student with lowmathematical ability can not show the adequacy of the data at understanding the problem’s step and can not carry out thesteps of devising a plan, carrying out the plan and looking back.


MATHEdunesa ◽  
2020 ◽  
Vol 9 (1) ◽  
pp. 155-161
Author(s):  
Anam Brammanto Satriyo Pamuji ◽  
Pradnyo Wijayanti

The purpose of this study is to describe the intuition characteristics of junior high school students in solving mathematical problems viewed from mathematical abilities. This research based on qualitative descriptive study. The subjects of this study were taken from Lab School UNESA  Junior High School, which consisted of three students from class VIII A, namely one student with high, moderate,  and low mathematical ability. The method that used to collect data consists of the mathematical ability test,  problem solving test and so of the interview method. Data analysis uses the intuitive characteristic indicators at each stage of the problem solving. The conclusion of this study indicate that student with high mathematical ability at the stage of understanding the problem using affirmatory intuition with the characteristics of extrapolativeness, intrinsic certainty and perseverance, at the stage of making plans using anticipatory intuition with the characteristics of global ideas, and at the stage of carrying out plans and checking again not using intuition. Student with moderate mathematical ability at the stage of understanding the problem using affirmatory intuition with the characteristics of extrapolativeness, intrinsic certainty and perseverance, at the stage of making plans using anticipatory intuition with the characteristics of global ideas, and at the stage of carrying out plans and checking again not using intuition. Student with low mathematical ability at the stage of understanding the problem using affirmatory intuition with the characteristics of perseverance and coerciveness, at the stage of making plans using anticipatory intuition with the characteristics of global ideas, and at the stage of carrying out plans and checking again not using intuition. Keywords: Intuition, Problem solving , Mathematics ability


2018 ◽  
Vol 7 (2) ◽  
pp. 273-284
Author(s):  
Vina Budiarti ◽  
Lestariningsih Lestariningsih

AbstrakTujuan dari penelitian ini adalah mendiskripsikan profil penyelesaian soal persamaan trigonometri siswa SMA kelas XI ditinjau dari kemampuan matematika. Jenis penelitian ini adalah jenis penelitian kualitatif. Penelitian ini dilaksanakan di SMA Negeri 1 Wonoayu. Subjek penelitian ini adalah 3 siswa kelas XI, yaitu: 1 siswa berkemampuan matematika tinggi, 1 siswa berkemampuan matematika sedang, dan 1 siswa berkemampuan matematika rendah. Instrumen pendukung yang digunakan dalam penelitian terdiri dari: 1. Tes kemampuan matematika untuk pemilihan subjek; 2. Tes menyelesaikan soal; 3. Wawancara yang diajukan pada masing-masing kategori siswa untuk mengetahui keabsahan dari jawaban yang telah dikerjakan. Hasil penelitian menunjukkan bahwa: profil penyelesaian soal persamaan trigonometri siswa SMA kelas XI di SMA Negeri 1 Wonoayu ditinjau dari kemampuan matematikanya, siswa yang memiliki kemampuan matematika tinggi mampu menyelesaikan soal dengan memenuhi semua indikator secara keseluruhan, siswa yang memiliki kemampuan matematika sedang belum mampu menyelesaikan soal dengan memenuhi semua indikator secara keseluruhan (siswa berkemampuan matematika sedang mampu memenuhi 5 indikator saja), siswa yang memiliki kemampuan matematika rendah tidak mampu menyelesaikan soal dengan memenuhi semua indikator secara keseluruhan. AbstractThe purpose of this study was to describe the profile of problem solving in trigonometry equations of high school students of class XI based  mathematics ability. This type of  research is qualitative research. This research was conducted at SMA Negeri 1 Wonoayu. The subjects of this study are 3 students of class XI, namely: student with high mathematics ability, student with moderate mathematics ability, and student with low mathematics ability. The main instrument is the researchers and the supporting instruments used in the study consist of: 1. Mathematics ability test; 2. solving problem test; 3. Interview guideline. The results showed that profile of problem solving trigonometry equations of high school students of class XI in SMA Negeri 1 Wonoayu viewed from the mathematical ability, student who has high mathematics ability to solve the problem by fulfilling all the indicators as a whole, students who has moderate mathematics ability is not yet able to solve the problem by meeting all indicators overall (math-capable students are able to meet only 5 indicators), student who has low mathematics ability is not able to solve the problem by meeting all indicators overall.


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