scholarly journals Profil Berpikir Kritis Siswa Dalam Memecahkan Masalah Matematika Open Ended Ditinjau Dari Gaya Kognitif Field Dependent-Independent

2021 ◽  
Vol 5 (1) ◽  
pp. 19
Author(s):  
Afifah Surya Rufaidah ◽  
Ismail Ismail

Abstrak — Tujuan penelitian ini adalah mendeskripsikan profil berpikir kritis siswa dengan gaya kognitif field dependent-independent dalam memecahkan masalah open ended matematika. Metode yang digunakan adalah deskriptif kualitatif yang akan memberikan gambaran profil berpikir kritis siswa dengan gaya kognitif field dependent-independent dalam memecahkan masalah matematika open ended. Subjek yang digunakan pada penelitian ini adalah 2 siswa kelas IX dengan rincian masing-masing 1 siswa gaya kognitif field dependent (FD) dan field independent (FI). Teknik pengumpulan data dilakukan dengan cara tes gaya kognitif GEFT, tes pemecahan masalah matematika (TPMOE) dan wawancara. Data yang diperoleh dianalisis pada setiap tahap pemecahan masalah berdasarkan kriteria berpikir kritis Jacob dan Sam. Setelah diteliti, hasil menunjukkan profil berpikir dua subjek mengenai pemahaman masalah relatif identik. Kedua subjek melaksanakan indikator klarifikasi, namun subjek FD salah dalam menghubungkan antar bagian saat menyelesaikan menggunakan cara ke II. Kedua subjek memenuhi indikator asesmen dan strategi pada saat langkah menyusun rencana. Subjek FI dan FD memberikan alasan yang masuk akal terkait dengan strategi yang dipakai, memilih informasi yang terkait dengan pemecahan masalah, serta dapat memberikan alasanyang tepat pada setiap langkah. Kedua subjek juga dapat memprediksi hasil dari langkah pengerjaan yang telah dibuat. Saat tahap melaksanakan rencana, kedua subjek menyelesaikan permasalahan sesuai dengan tahap yang telah direncanakan serta bisa membuat konklusi secara tepat. Kedua subjek memeriksa kembali langkah yang telah dilakukan pada langkah memeriksa kembali. Subjek FD kurang teliti saat memahami masalah sehingga berakibat menggunakan cara yang salah pada cara II.Kata Kunci : Berpikir kritis, pemecahan masalah, field dependent-independent.Abstract — The aims of this research is to describe the critical thinking profile of students with field dependent-independent cognitive styles in solving open ended mathematics problems. The method in this research is descriptive qualitative which will produce descriptive data in the form of a description of the critical thinking profile of students with dependent-independent field cognitive style in solving open ended mathematical problems. The subjects were 2 students on 9th grade junior high school with the details of each student is, the first student with field dependent (FD) cognitive style and the second student with fieldindependent (FI). Data collection techniques were carried out by means of the GEFT cognitive style test, mathematical problem solving test (TPMOE) and interviews. Data were analyzed based on Jacob and Sam's critical thinking criteria at each step of Polya's problem solving. The results showed the profile of thinkingof the two subjects at the same stage on understanding the problem. Both subjects carry out clarification indicators, but the subject FD is wrong in connecting between parts when completing using method II. In the steps of devising a plan the two subjects carry out all the assessment indicators and strategies. Both subjects provide logical reasons related to the strategy used, the selection of relevant information, and can provide the right reasons at each step. Both subjects can also predict the results of the steps that have been made. In the steps of carrying out the plan, the two subjects solve the problem in accordance with the steps that have been planned and can make conclusions correctly. In the step of looking back, the two students evaluate the steps that have been taken. The FD subject was not too careful when understanding the problem so that he use the wrong method on the II method.Keywords: critical thinking, problem solving, field dependent-independent

2021 ◽  
Vol 1 (1) ◽  
pp. 51
Author(s):  
Mochamad Jazim ◽  
Dinawati Trapsilasiwi ◽  
Randi Pratama Murtikusuma ◽  
Arifiatun Arifiatun

This study aims to describe and analyze students' mathematical problem solving abilities based on theory of APOS (Action, Peocess, Object, Schema) in terms of Field Dependent and Field Independent Cognitive Style. It is descriptive research with qualitative approach. The research subjects are 34 students in class XI MIPA 1 SMA Nurul Islam Jember, they are grouped on cognitive style, they are 24 students having field independent cognitive style and 10 students having field dependent cognitive style. The method of data collection use a GEFT (Group Embedded Figure Test), test of problem solving abilities, , and interviews. The results of the data analysis of the problem solving ability test and interviews showed that at the action stage, students with the independent field cognitive style (FI) tended to be able to explain the meaning and information on the questions even though they did not write down what they knew. Students with the field dependent cognitive style (FD) tend to be able to write down the information contained in the questions, but have difficulty explaining the meaning of the questions. At the process stage, FI and FD students are able to model and explain the stages well, but FD still has errors in the resulting mathematical model. At the object stage, FI students tend to work on questions freely, while FD students tend to work on questions in detail or are fixated on completely arranged steps, FD students also have difficulty in explaining back the results of their work. At the schema stage, FI and FD students tend to be able to explain how to use the information contained at the object stage to be used at the schema stage. In general, students with a field independent cognitive style in solving mathematical problems tend to be free or not fixated on complete and detailed steps, and have an analytical nature, so they are able to sort out the important information contained in the questions. Students with a field dependent cognitive style in solving math problems tend to be bound or fixated with steps that are arranged in a complete and detailed manner. Keywords: mathematics problem solving, APOS theory, cognitive style


MATHEdunesa ◽  
2020 ◽  
Vol 9 (1) ◽  
pp. 211-220
Author(s):  
NILA NURCAHYANING KUSUMAWARDANI ◽  
RADEN SULAIMAN

Critical thinking is a thinking process in processing information logically starti from understanding, analyzing, evaluating and making precise conclusions. Critical thinking indicators are clarification, assessment, inference, and strategy that referred to Jacob and Sam. Mathematics is designed to improve students' critical thinking in a solving problem. One of the factors that affect students' critical thinking in solving a problem is AQ. This research is descriptive study with qualitative approach. The aim is to describe critical thinking profile of climber, camper, and quitter students in solving mathematical problems. The subjects were three students of VIII grade junior high school who represented each AQ category and had good communication skills. The instrument used was the ARP questionnaire, mathematics problem solving tests, and interview guidelines. The results shows that students’ critical thinking profile in understanding the problem is climber and camper student do all indicators of critical thinking in the clarification phase. Quitter student is only able mentioning known and asked information. In devising a plan, climber student implements all indicators of assessment and strategy phase. Camper student implements all indicators in assessment phase, but do not discuss the possible steps in strategy phase. Quitter student does not do both assessment and strategy phase. In carrying out the plan, climber and camper students do all indicators of inference phase, while quitter student does not. In the step of looking back, only climber student who carries out evaluating steps that have been done. Keywords: Jacob and Sam’s critical thinking, mathematical problem solving, adversity quotient


Author(s):  
Rina Apriyani ◽  
Ibrahim

This study is a qualitative literature review aimed to describe junior high school students’ metacognitive process in mathematical problem solving based on field independent and field dependent cognitive style. The research was done based on these following steps: 1) Data library relevant to variable and in accordance to the data source criteria was collected; 2) the data library was classified according to the grade and the subjects; 3) the data was analyzed. The instruments used in this study were the researchers and interview. The interview was conducted to confirm the classified data. Based e this study, it can be concluded that students using field independent style, competently can employ metacognitive process in planning, monitoring, and evaluating because they can write down the known fact and the question using mathematical symbol, choose the appropriate strategy, and answer the question thoroughly. Students using field dependent style were having difficulties in writing down the known fact and the question using mathematical symbol, choosing an appropriate strategy, and answering the question thoroughly.


2019 ◽  
Vol 3 (3) ◽  
pp. 186
Author(s):  
Rahmawati Patta ◽  
Muhammad Idris Jafar ◽  
Syamsuddin S

This study aims to determine the effect of cognitive style and motivation to learn mathematics on the ability to solve mathematical problems. The research method used is ecso facto research by using the Geft test instrument to measure cognitive style, a learning motivation scale questionnaire and a test of mathematical problem solving abilities. The population in this study was PGSD Bone Campus VI FIP UNM students who programed an introductory course on basic mathematics. The data analysis technique used is Two-Way Anova. The results showed that (a) cognitive style significantly influenced the ability of mathematical problem solving, (b) the motivation to learn mathematics had a significant positive effect on the ability to solve mathematical problems, (c) the cognitive style and mathematics learning motivation together significantly influenced on the ability to solve mathematical problems, (d) there are differences in the ability to solve mathematical problems based on cognitive style and learning motivation where the independent field skills with high mathematical learning motivation results in the ability to solve mathematical problems in the good category. Conclusion cognitive style and motivation to learn mathematics have a significant influence on the ability to solve mathematical problems.


Author(s):  
Moh Syukron Maftuh ◽  
Nur Fathonah ◽  
Ina Nur Roihah

The purpose of this study was to describe the critical thinking process of junior high school students with choleric personalities in solving mathematical problems. This research is a descriptive study with a qualitative approach. The subjects in this study were two students of MTs Hasanuddin Sidoarjo class VIII who had choleric personalities obtained from the results of personality tests. The research stages used by the researchers consisted of three stages, namely the preparation stage, the implementation stage, and the analysis stage. The data collection technique in this research is the technique of giving the Mathematical Problem Solving Test (TPMM) and interviews later to obtain valid and credible data, researchers use source triangulation. Based on the results of data analysis, it can be concluded that the choleric subject in solving mathematical problems shows the criteria for critical thinking: focus, reason, inference, situation, clarity, overview at the stage of understanding the problem. At the stage of making a plan for the completion of the choleric subject, it fulfills the criteria for critical thinking, focus, reason, inference, situation, clarity, overview. Likewise, at the stage of implementing the completion plan, the choleric subject meets the criteria for critical thinking, focus, reason, inference, situation, clarity, overview. Meanwhile, at the stage of re-examining the completion plan, the choleric subject only met the criteria for critical thinking, focus, reason, inference, situation, clarity, did not meet the criteria for critical thinking overview. Keywords: Critical Thinking, Mathematical Problem Solving, Choleric Personality


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.


2019 ◽  
Author(s):  
YL Sukestiyarno and Mellawaty .

This research is a descriptive qualitative research which aims to describe the mathematical literacy skills of the material of cubes and beams of class VIII A students at MTsN 2 Indramayu that it be seen in terms of cognitive styles of dependent fields and independent fields. Data will be whereas to describe the ability of mathematical literacy using observation; interview test; documentation. Data from this study were analyzed using Miles and Huberman (2007) data analysis which consisted of data reduction,datapresentation,andconclusiondrawing.Theresultsofthisstudyindicate that students in the Field Dependent cognitive style use the concept and the steps of the test work are still not appropriate. While students in Field Independent cognitive style use the right concepts and work steps. The advice given is that the teacher should provide balanced proportions in giving individual and group assignments to students (more conical).


MaPan ◽  
2021 ◽  
Vol 9 (2) ◽  
pp. 280
Author(s):  
Ahmad Aas Syamsuadi ◽  
A. Aspar ◽  
Andi Alim Syahri

This study aims to describe and determine students' abilities to solve mathematical problems that focus on visual and auditory learning styles. Subjects are eighth-grade students from junior high school in Bulukumba district. This research is descriptive qualitative, which seeks to determine and describe the mathematical problem solving ability in terms of student learning styles. Data is collected using questionnaires, tests, and interviews. The use of questionnaires describes visual learning styles and auditory learning styles. Two numbers of the test determine mathematics problem solving ability in Polya's step, and interviews confirm mathematics problem solving ability. The data analysis techniques are reduction, presentation, and verification. Based on the results, the first subject with a visual learning style can fulfill all the indicators of Polya's steps, but another one is just three indicators. The first subject with an auditory learning style can meet all Polya's steps, but the other can fulfill three indicators.


Jurnal Elemen ◽  
2020 ◽  
Vol 6 (2) ◽  
pp. 183-198
Author(s):  
Hobri Hobri ◽  
◽  
Dianita Tussolikha ◽  
Ervin Oktavianingtyas ◽  
◽  
...  

The provision of jumping tasks (JT) is an effort to improve students' problem-solving abilities. Descriptive qualitative research was conducted to describe and analyze students' ability to solve mathematical problems, both in the field-dependent cognitive style (FD) and independent field (FI). JT is a high-level question, C4-C6, in Bloom's taxonomy on the Three Variable Linear Equation System topic. The subjects in this study were students of class X MIPA 1 of SMA Negeri 4 Jember with 30 students consisting of 5 FD students and 25 FI students. The data collection method uses tests (JT questions) and interviews. The results showed the differences in FD and FI subjects' ability in the stages of carrying out the plan of completion and re-checking, i.e., the FI subject had better solving ability than the FD subject in the stage of planning the completion and re-checking. In contrast, at the other Polya stages, there were no differences.


2020 ◽  
Vol 3 (1) ◽  
pp. 21
Author(s):  
Wanda Ika Narianti ◽  
Masriyah Masriyah

Abstrak — Kemampuan berpikir kritis adalah kecakapan memecahkan masalah yang dilakukan seseorang secara sistematis dan reflektif dalam mengolah informasi yang diperoleh ketika dihadapkan pada suatu masalah. Melalui berpikir kritis, siswa dapat mengambil keputusan secara tepat untuk memecahkan masalah tersebut. Akan tetapi dalam pembelajaran matematika, kemampuan berpikir kritis kurang mendapat perhatian karena seringkali siswa mendapatkan soal yang dalam proses mengerjakannya menggunakan prosedur rutin. Selain itu, juga perlu memperhatikan gaya kognitif siswa karena setiap siswa memiliki karateristik yang berbeda dalam waktu yang diperlukan untuk menjawab soal dan kesalahan jawaban yang dihasilkan. Penelitian ini merupakan penelitian deskriptif kualitatif, yang bertujuan untuk mendeskripsikan kemampuan berpikir kritis siswa SMP yang bergaya kognitif reflektif, impulsif, fast accurate, dan slow inaccurate dalam memecahkan masalah matematika. Subjek dalam penelitian ini adalah siswa SMP kelas VIII yang bergaya kognitif reflektif, impulsif, fast accurate, dan slow inaccurate masing-masing sebanyak 1 siswa. Teknik pengumpulan data dalam penelitian ini menggunakan tes gaya kognitif MFFT (matching familiar figure test), tes kemampuan matematika, tes pemecahan masalah matematika, dan wawancara. Teknik analisis data berdasarkan indikator kemampuan berpikir kritis yang meliputi klarifikasi, asesmen, inferensi, dan strategi pada setiap langkah pemecahan masalah. Hasil penelitian menunjukkan bahwa, siswa bergaya kognitif reflektif mampu melakukan klarifikasi, asesmen, dan inferensi. Siswa bergaya kognitif impulsif mampu melakukan strategi. Siswa bergaya kognitif fast accurate tidak mampu melakukan klarifikasi, asesmen, inferensi, dan strategi. Siswa bergaya kognitif slow inaccurate mampu melakukan asesmen.Kata kunci: Kemampuan Berpikir Kritis, Memecahkan Masalah, Gaya Kognitif Abstract — Critical thinking abilities is the ability to solve problems by someone systematically and reflectively in processing information obtained when faced with a problem. Through critical thinking, students can make appropriate decisions to solve these problems. However, in learning mathematics, critical thinking abilities receive less attention because students often get questions that in solved by using routine procedures. In addition to paying attention the critical thinking abilities, it is also necessary to pay attention to students' cognitive styles because each student has different characteristics in the time needed to answer questions and the resulting answer errors. This research is a qualitative descriptive study, which aims to describe the critical thinking abilities of junior high school students who have reflective, impulsive, fast accurate, and slow inaccurate cognitive styles in solving mathematical problems. The subjects in this study were eighth-grade junior high school students who had reflective, impulsive, fast accurate, and slow inaccurate cognitive styles of 1 student each. Data collection techniques in this study used the MFFT cognitive style test (matching familiar figure test), mathematics ability test, mathematical problems solving test and interviews. Data analysis techniques are based on indicators of critical thinking abilities that include clarification, assessment, inference, and strategy at each step of problems solving. The results showed that reflective cognitive style students were able to clarification, assessment, and inference. Impulsive cognitive style students can do the strategy. Fast accurate cognitive style students are not able to clarification, assessment, inference, and strategy. Slow inaccurate cognitive style students can do assessment.Keywords: Critical Thinking Abilities, Problem Solving, Cognitive Style


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