scholarly journals Profil Berpikir Kritis Mahasiswa PGMI dalam Memecahkan Masalah Matematika Dasar

2018 ◽  
Vol 6 (1) ◽  
pp. 11 ◽  
Author(s):  
Sintha Sih Dewanti

Abstrak Tujuan penelitian ini adalah untuk mendeskripsikan profil berpikir kritis mahasiswa PGMI UIN Sunan Kalijaga Yogyakarta dalam memecahkan masalah matematika dasar. Pemecahan masalah merupakan proses mental tingkat tinggi dan memerlukan proses berpikir yang lebih kompleks termasuk berpikir kritis. Pemecahan masalah juga mempunyai hubungan timbal balik dengan berpikir kritis. Berpikir kritis pada penelitian ini mengacu pada berpikir kritis dengan kriteria FRISCO. Jenis penelitian ini adalah penelitian deskriptif dengan pendekatan kualitatif. Pada penelitian ini diambil 9 subjek penelitian, yaitu 3 subjek pada kemampuan matematika dasar tinggi, sedang, dan rendah. Pengumpulan data dilakukan dengan pemberian soal pemecahan masalah dan wawancara. Ada 5 tipe masalah yang digunakan dalam soal pemecahan masalah yaitu: simple translation problem, complex translation problem, process problem, applied problem, dan puzzle problem. Profil berpikir kritis mahasiswa dalam memecahkan masalah matematika dasar menurut kriteria FRISCO pada setiap langkah pemecahan Polya sebagai berikut: a) Mahasiswa dengan KPM tinggi mengetahui fokus, alasan, situasi dan kejelasan dalam setiap tahap pemecahan masalah juga menjelaskan inferensinya pada setiap tahap pemecahan masalah Polya pada simple translation problem, complex translation problem, dan applied problem, tetapi belum dapat untuk 2 masalah lainnya; b) Mahasiswa dengan KPM sedang, mengetahui fokus, alasan, situasi dan kejelasan dalam setiap tahap pemecahan masalah juga menjelaskan inferensinya pada setiap tahap pemecahan masalah Polya pada simple translation problem dan applied problem tetapi belum dapat untuk 3 masalah lainnya; dan c) Mahasiswa dengan KPM rendah, mengetahui fokus, alasan, inferensi, situasi, klarifikasi dan memeriksa kembali pada setiap langkah pemecahan masalah Polya pada masalah simple translation problem, dan belum dapat pada puzzle problem, sedangkan untuk 3 masalah lainnya mengetahui fokus dan alasan hanya sampai pada langkah melaksanakan strategi, tetapi belum dapat mengetahui inferensinya. Kata kunci: berpikir kritis, pemecahan masalah, kemampuan matematika dasar Abstract The purpose of this research is to describe the critical thinking profile of PGMI UIN Sunan Kalijaga Yogyakarta students in solving basic mathematics problems. Problem solving is a high level mental process and requires a more complex thinking process including critical thinking. Problem solving also has a reciprocal relationship with critical thinking. Critical thinking in this study refers to critical thinking with the FRISCO criteria. The type of this research is descriptive research with qualitative approach. In this study, 9 subjects taken, that is 3 subject to the ability of high-basic mathematic, medium, and low. Data was collected by way of tests and interviews. There are 5 types of problems used in problem solving tests: simple translation problem, complex translation problem, problem process, applied problem, and puzzle problem. The profile of critical thinking of students in solving basic mathematics problems according to FRISCO criteria at each polya solving step as follows: a) Students with high problem solving abilitys know the focus, reason, situation and clarity in every problem solving step also explain the inferences at each stage of solving Polya problem on simple translation problem, complex translation problem, and applied problem, but not yet for 2 other problems; b) Students with medium problem solving abilitys know the focus, reason, situation and clarity in each stage of problem solving also explain the inferences at each stage of polya problem solving on simple translation problem and applied problem but not yet for the other 3 problems; and c) Students with low problem solving abilitys know the focus, reason, inference, situation, clarification and re-examine each step Polya problem solving on the problem of simple translation problem, and not yet in the puzzle problem, while for 3 other problems know the focus and reason only to the step of implementing the strategy, but not yet know the inferences. Keywords: critical thinking, problem solving, basic math ability

Author(s):  
Heinrich Osvaldo Ndahawali ◽  
Sri Hariyani ◽  
Nur Farida

This study aims to describe the critical thinking skills in solving math problems. The approach used in this research is qualitative research with descriptive research type. The research subjects were 32 students. The six interview subjects were divided into three levels of critical thinking, namely 2 high categories, 2 medium categories and 2 low categories. Data collection procedures are tests of critical thinking skills and interviews. Research data analysis refers to indicators of critical thinking, namely: interpreting, analyzing, evaluating and inferring. Student achievement on each indicator includes: 1) Percentage of students' ability to interpret the completion of the test questions by 65.5%; 2) The percentage of students' ability to analyze the completion of the test questions by 39.1%; 3) The percentage of students' ability to evaluate is 66.6%; and 4) Percentage of students' ability to infer by 40%. The ability of students to interpret a problem solving is good. Students have been able to write out what is known and asked in the problem correctly, but there are students who are less thorough and incomplete in writing the unit of distance. The ability of students to analyze problem solving is quite low. Students do not provide information on drawing illustrations. The ability of students in evaluating problem solving is good. Students are able to do the calculations correctly in accordance with the rubric of assessment. The ability of students to reference problem solving is low. Students are not used to writing the final conclusions of the answers obtained.


Author(s):  
Ferry Kurnia Putra ◽  
Hobri Hobri ◽  
Susi Setiawani

This research aims to describe about the profile of climber students’ self efficacy to the problem solving skills of high level mathematics problems. It is including form of descriptive research with qualitative approach. The research subjects are 13 climber students in class XI MIPA 8 of SMA Negeri 1 Jember, were tested by Adversity Response Profile (ARP) questionnaire. The method of data collection use a test of problem solving skills of high level mathematics problems, adversity response profile (ARP) questionnaire and interviews. The results of this research showed that the climber students are tend to have high  self efficacy and  able to by every Polya’s stages.


2012 ◽  
Vol 19 (3) ◽  
pp. 136-138

Wonderful opportunities to engage students in enjoying the beauty and products of the season, autumn celebrations are also ripe with themes for various mathematics problems and activities: pumpkins, hay rides, apples, scarecrows, and the changing colors of the leaves. To promote problem solving and critical thinking, the October problems are situated in the context of an elementary school's fall festival.


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):  
Ali Sadikin ◽  
Kamid Kamid ◽  
Bambang Hariyadi

The purpose of this reseach is to derseribe the phlegmatics types of students’ critical thinking in biology problem solving. The descrieptive qualitative is applied in this research. Data collecting process is done by doing interview which is based on question sheets of biology. The subjects of the phlegmatics type of students. According to Polya, critical thinking process in problem solving steps and in thinking process characteristic that consists of step (1) the identification of problem, (2) exploring interpretation and connection, (3) priorirating alternatives, (4) strategies used to resolve the problems. The research result shows that phlegmatics types of students are likely to possess critical talents. They are able to solve the problem in critical ways. Critical thinking process is seen in every step except in recheck step. They directly use planning in problem solving.


Numeracy ◽  
2020 ◽  
Vol 7 (2) ◽  
Author(s):  
Orin Asdarina ◽  
Masriyah Ridha

The purpose of this study was to determine students’ mathematical reasoning abilities in solving PISA equivalent geometry content problems at the class VIII of SMP Negeri Unggul Tunas Nusa and these factors can influence students’ mathematical reasoning abilities in solving equivalent questions of PISA geometry content grade VIII of SMP Negeri Unggul Tunas Nusa. The research design used in this study was descriptive research. The subjects in this study were 30 students from grade VIII- SMP Negeri Unggul Tunas Nusa.  Data collection was obtained through the distributing of tests and interviews. From the results of the data analysis, it was concluded that the mathematical reasoning students’ ability in Solving on geometry content problems in grade VIII of SMP Negeri Unggul Tunas Nusa was in the very low category. The ability of students’ on mathematical reasoning at the indicator I was 21.56%, indicator II was 33.49%, indicator III was 16.11%, and indicator IV was 15.56%. The cause of the obstacles faced by students in solving geometry content material problems is that students were not accustomed to solving  non-routine questions, a little bit complicated, and require a high level of problem solving as the questions given to students were equivalent to PISA problems, the ability of students to mastery of the material is limited and cannot suitable to the concepts that have been studied with the problem being worked on. Abstrak Tujuan dari penelitian ini adalah untuk mengetahui kemampuan penalaran matematis siswa dalam menyelesaikan soal setara PISA konten geometri di kelas VIII SMP Negeri Unggul Tunas Nusa dan faktor-faktor yang mempengaruhi kemampuan penalaran matematis siswa dalam menyelesaikan soal setara PISA konten geometri kelas VIII SMP Negeri Unggul Tunas Nusa. Rancangan penelitian yang digunakan dalam penelitian ini merupakan penelitian deskriptif. Subjek dalam penelitian ini adalah 30 siswa dari kelas VIII-Nusa SMP Negeri Unggul Tunas Nusa. Pengumpulan data diperoleh melalui pemberian tes dan wawancara. Dari hasil analisis data, diperoleh kesimpulan bahwa kemampuan penalaran matematis siswa dalam mengerjakan soal konten geometri kelas VIII Nusa SMP Negeri Unggul Tunas Nusa berada dalam kategori sangat rendah. Kemampuan penalaran matematis siswa pada indikator I sebesar 21,56%, pada indikator II sebesar 33,49%, pada indikator III sebesar 16,11%, dan indikator IV sebesar 15,56%. Penyebab dari  kendala yang dihadapi siswa dalam menyelesaikan soal materi konten geometri adalah siswa tidak terbiasa menyelesaikan  soal-soal nonrutin, sedikit rumit, serta memerlukan tingkat pemecahan masalah yang tinggi seperti soal yang diberikan kepada siswa adalah soal setara PISA, kemampuan siswa dalam menguasai materi yang terbatas dan siswa tidak mampu mengaitkan konsep yang telah lama dipelajari dengan soal yang sedang dikerjakan. Kata Kunci : Kemampuan Penalaran Matematis, PISA


2020 ◽  
Vol 8 (1) ◽  
pp. 138-149
Author(s):  
Jerald C. Moneva ◽  
Rey G. Miralles ◽  
James Z. Rosell

Problem solving attitude is one of the most important aspect of the students in handling problems that they encountered. Meanwhile, critical thinking ability is also an important skill of the students in dealing and analyzing the problems and to it appropriately. The study used descriptive correlation design to determine the relationship between problem solving attitude and critical thinking ability of the students. The study has 240 respondents from the different strands (ABM, HUMSS, GAS, TVL and STEM) in certain senior high school: Mandaue City, Cebu, Philippines. The tool used in this study in getting the information and data collection is rating scale questionnaire. All the data are analyzed using weighted mean and chi-square to show the result. The result shows that the problem solving attitude is significantly associated to the critical thinking ability of the students. Students who have high level of problem solving attitude will become successful ones someday, because they don’t get affected in their problems instead, they solved it right away with their critical thinking. Students' critical thinking ability is very useful in solving and analyzing their problems.


2020 ◽  
Vol 6 (12) ◽  
pp. 3001-3006
Author(s):  
Samsul Hadi ◽  
◽  
Alpi Zaidah ◽  

Problem-solving of High Order Thinking Skill (HOTS) problems Mathematics is a part of the mathematics learning process that requires high-level adversity quotient (AQ) for students. This study aims to analyze the AQ level of students in solving mathematics HOTS problems. This research uses a case study-based qualitative approach. Research participants consisted of 47 students of class XI at an MA in East Lombok, NTB, in the even semester of the 2020-2021 academic year. The research sample was determined by purposive sampling. The instrument used was a diagnostic test consisting of descriptive questions and multiple-choice, AQ questionnaire, and interview guidelines. The results showed that: 1) the AQ level of the students was in the medium category in solving HOTS mathematics questions, 2) there was no relationship between the level of mathematics problem-solving ability and the AQ level of students in solving the HOTS mathematics problems, 3) the students quickly gave up in solving HOTS mathematics questions, and 4) Students have difficulty in the aspects of language, concepts, and strategies in solving HOTS Mathematics problems.


2020 ◽  
Vol 5 (5) ◽  
pp. 706
Author(s):  
Rizki Virtaria Rahman ◽  
I Nengah Parta ◽  
Hery Susanto

<p><strong>Abstract:</strong> The purpose of this article is to describe the thinking process of junior high school students in solving mathematical problems. The thought process that will be disclosed in this study includes receiving, processing, storing, and calling information. In this research, it refers to problem solving according to Polya. This type of research is descriptive research and uses a qualitative approach. The subjects chosen consisted of one person from class VIII. The conclusion of this study is that the subject understands the problem by receiving information from repeatedly reading the problem so that it correctly mentions the thing that is known and asked. The subject makes a completion plan by linking the selected formulas. In completing the subject using the plan he has made by linking the known, asked, and the formula he has chosen. The subject also rechecked the problem solving stage.</p><strong>Abstrak:</strong><em> </em>Tujuan dari artikel ini adalah mendeskripsikan proses berpikir siswa SMP dalam memecahkan masalah matematika. Proses berpikir yang akan diungkapkan penelitian ini mencakup penerimaan, pengolahan, penyimpanan, dan pemanggilan suatu informasi. Dalam penelitian ini merujuk kepada pemecahan masalah menurut Polya. Jenis penelitian ini adalah penelitian deskriptif dan menggunakan pendekatan kualitatif. Subjek yang dipilih berjumlah satu orang dari kelas VIII. Kesimpulan penelitian ini adalah subjek memahami masalah dengan menerima informasi dari membaca berulang kali soal sehingga dengan benar menyebutkan hal yang diketahui dan ditanyakan. Subjek membuat rencana penyelesaian dengan mengaitkan rumus-rumus yang dipilih. Dalam melakukan penyelesaian subjek menggunakan rencana yang telah ia buat dengan mengaitkan yang diketahui, ditanyakan, dan rumus yang telah ia pilih. Subjek juga melakukan pengecekan ulang pada tahap penyelesaian masalah.


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