scholarly journals Pemecahan Masalah dalam Menyelesaikan Soal Jumping Task ditinjau dari Gaya Kognitif

Jurnal Elemen ◽  
2020 ◽  
Vol 6 (2) ◽  
pp. 183-198
Author(s):  
Hobri Hobri ◽  
◽  
Dianita Tussolikha ◽  
Ervin Oktavianingtyas ◽  
◽  
...  
Keyword(s):  
Qualitative Research ◽  
Problem Solving ◽  
Equation System ◽  
The Other ◽  
Collection Method ◽  
Independent Field ◽  
Linear Equation System ◽  
Field Dependent ◽  
Mathematical Problems ◽  
High Level

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.

scholarly journals PROFIL TAKSONOMI PENGETAHUAN SISWA SMP DALAMPEMECAHAN MASALAH SOAL CERITA SISTEM PERSAMAAN LINEAR DUA VARIABEL DITINJAU DARI GAYA KOGNITIF

2018 ◽  
Vol 1 (2) ◽  
pp. 103
Author(s):  
Rahmawati Patta
Keyword(s):  
Qualitative Research ◽  
Linear Equation ◽  
Cognitive Style ◽  
Equation System ◽  
Subject Field ◽  
Story Problem ◽  
Field Independent ◽  
Linear Equation System ◽  
Field Dependent ◽  
Main Instrument

The Study aimed at discovering (1) the profile of  knowledge taxonomy of student in solving story problem of linear equation system of two variables based on cognitive style, (2) the comparison of knowledge taxonomy of student in solving story problem of linear equation system of two variables based on cognitive style.The Study is a qualitative research. The instrument of the study was the researcher himself as the main instrument guided by tasks in solving story problem of linear equation system of two variables and a valid, reliable guided interview. Data were collected by conducting task based interview. The subjects of the study were two grade VIII students of SMPN 5 Marioriwawo in Soppeng district consisted of one student who categorized as field independent named as SFI (subject field independent) and one student who categorized as field dependent named as SFD (subject field dependent). 

scholarly journals Perbandingan Kemampuan Menyelesaikan Masalah Matematika Pada Peserta Didik Laki-Laki Dan Perempuan Kelas VIII A SMP Negeri 4 Mamuju

2019 ◽  
Vol 14 (2) ◽  
pp. 172
Author(s):  
Suryadi Ishak ◽  
Irmayanti Irmayanti
Keyword(s):  
Problem Solving ◽  
Learning Outcomes ◽  
Equation System ◽  
Female Students ◽  
Average Score ◽  
Linear Equation System ◽  
Stage 4 ◽  
Mathematical Problems ◽  
Qualitative Descriptive ◽  
Stage 1

This research is a qualitative descriptive study that aims to compare the ability of male and female students to solve mathematical problems in a two-variable linear equation system. The subjects of this study were 19th grade students A VII from Mamuju Middle School as many as 19 people, then 6 students were taken, consisting of 3 men and 3 women. The results showed that students with high ability categories; (1) able to understand problems; (2) able to complete planning; (3) able to solve problems; (4) can use existing information to re-examine the answers obtained. Whereas in problem solving abilities for students with moderate categories, he is able to stage (1) be able to understand the problem, (2) be able to plan solutions and, (3) be able to solve problems still in stage (4) less able to reexamine the problem solving ability of answers to students with disadvantaged categories. (1) less able to understand problems; (2) inadequate settlement planning; (3) less able to solve problems; (4) unable to use the information available to re-examine the answers obtained. Indicates that the average score of learning outcomes is 75.26. Judging from the number of students who have not finished learning, it can be concluded that the obstacle experienced by students is the lack of students' understanding of the problem given, so that they are not able to solve the problem properly. Men read and understand the problems given at a glance and women understand the problem carefully and analyze whatever information is given correctly.

scholarly journals Analisis Kemampuan Pemecahan Masalah Matematika Siswa Berdasarkan Teori APOS (Action, Process, Object, Schema) Ditinjau dari Gaya Kognitif Field Dependent dan Field Independent

2021 ◽  
Vol 1 (1) ◽  
pp. 51
Author(s):  
Mochamad Jazim ◽  
Dinawati Trapsilasiwi ◽  
Randi Pratama Murtikusuma ◽  
Arifiatun Arifiatun
Keyword(s):  
Problem Solving ◽  
Cognitive Style ◽  
Mathematical Problem ◽  
Research Subjects ◽  
Ability Test ◽  
Process Stage ◽  
Independent Field ◽  
Field Independent ◽  
Field Dependent ◽  
Mathematical Problems

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

scholarly journals Students’ Intuition in Solving Mathematics Problems: The Case of High Mathematics Ability and Gender Differences

2021 ◽  
Vol 13 (3) ◽  
pp. 2711-2724
Author(s):  
Nazariah Nazariah ◽  
Nailul Authary
Keyword(s):  
Problem Solving ◽  
Mathematical Problem ◽  
Equation System ◽  
Female Students ◽  
Mathematical Problem Solving ◽  
Male And Female ◽  
Mathematics Problems ◽  
Mathematics Ability ◽  
Mathematical Problems ◽  
High Level

Students are required to find their appropriate strategies to solve mathematics problems so that intuition is needed. Male and female students have different intuition on mathematical problem-solving. Thus, gender is influencing how to obtain mathematical knowledge. This descriptive qualitative study aimed to analize the intuition differences of male and female students who have high-level mathematical abilities at secondary school in solving mathematics problems. Data was collected through tests of mathematical problem-solving and interviews then analysed through data reduction, data presentation, and conclusion. This study found that: (1) There are differences in the characteristics of male and female intuition in mathematical problems solving, (2) The intuition of male and female in mathematical problems solving based on Polya's steps is different in re-checking the answers, (3) There are differences in intuition when students solve linear equation system problems. There are differences in intuition between male and female students with high matematical abilities in each material. Students with problem-solving abilities have affirmative intuition to understand problems, anticipatory intuition for problem-solving plans and solutions, and conclusive intuition to re-examine problems.

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
Keyword(s):  
Critical Thinking ◽  
Problem Solving ◽  
Cognitive Style ◽  
Junior High School ◽  
Mathematical Problem ◽  
Relevant Information ◽  
Independent Field ◽  
Field Dependent ◽  
Mathematical Problems ◽  
The Right

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

scholarly journals PROFIL KEMAMPUAN BERPIKIR KRITIS MATEMATIS SISWA DALAM PEMECAHAN MASALAH SOAL SPLDV DITINJAU DARI KEMAMPUAN MATEMATIKA

2018 ◽  
Vol 5 (2) ◽  
pp. 9
Author(s):  
Fitri Puji Asih
Keyword(s):  
Qualitative Research ◽  
Critical Thinking ◽  
Problem Solving ◽  
Equation System ◽  
Thinking Skills ◽  
Critical Thinking Skills ◽  
Math Skills ◽  
Linear Equation System ◽  
Thinking Ability ◽  
The Subject

The aim of this research is to describe profile crithical thinking ability of  the students in solving problem in Linear Equation System of Two Variables based on the criteria of critical thinking and problem solving ability of the students. This is qualitative research with the subject is the students in the class VIIIA of year 2018/2019 of SMP Negeri 6 Semarang. The data collection used is test and interview. Based on the results of this study it can be seen that the profile of critical thinking skills with the first subject of high math skills (SR) can do all category . Where the subject is moderate mathematics (SS) and the subject is low mathematics (SR) on indicators of critical thinking in problem solving that have not been done by student inference and strategy on subject SS on problems 2 and 3. While subject SR on problems 1,2 and 3.

scholarly journals ANALISIS BERPIKIR LOGIS SISWA DALAM MENYELESAIKAN MATEMATIKA REALISTIK DITINJAU DARI KECERDASAN INTERPERSONAL

2020 ◽  
Vol 2 (2) ◽  
pp. 129-151
Author(s):  
Asti Faradina ◽  
Mohammad Mukhlis
Keyword(s):  
Problem Solving ◽  
Social Communication ◽  
Equation System ◽  
Logical Thinking ◽  
Data Presentation ◽  
Social Sensitivity ◽  
Linear Equation System ◽  
Mathematical Problems ◽  
Three Stages ◽  
The One

This research was motivated by a variety of intelligence possessed by each individual. Where later intelligence was used to solve problems. The one intelligence that can be used in this study was interpersonal. This study aims to describe students' logical thinking in solving realistic mathematical problems in terms of interpersonal intelligence aspects of social sensitivity, social insight, and social communication, especially in mathematics subject matter in the Three Variable Linear Equation System (SPLTV). This research was descriptive. The subjects in this study were three students who had each of the aspects of interpersonal intelligence. Data collection in this study was a questionnaire or questionnaire, tests to solve realistic mathematical problems, interviews, observations, and documentation. Analysis of the data used was the model of Miles, Huberman, and Saldana through three stages including data condensation, data presentation, and conclusions. The validity of the data used triangulation techniques. The results obtained were students who had interpersonal intelligence aspects of social sensitivity meet one indicator of logical thinking and meet two indicators of problem-solving based on Polya's steps but still lacking. Students who had interpersonal intelligence aspects of social insight meet two indicators of logical thinking and can meet three indicators of problem-solving based on Polya's steps but still lacking. Students who had interpersonal intelligence aspects of social communication met all indicators of logical thinking while being able to meet all indicators of problem-solving.

scholarly journals Profil Berpikir Siswa dalam Menyelesaikan Soal Sistem Persamaan Linear

2019 ◽  
Vol 6 (1) ◽  
pp. 69-84
Author(s):  
K. Ayu Dwi Indrawati ◽  
Ahmad Muzaki ◽  
Baiq Rika Ayu Febrilia
Keyword(s):  
Qualitative Research ◽  
Linear Equation ◽  
Linear Equations ◽  
Equation System ◽  
Mathematical Ability ◽  
System Of Linear Equations ◽  
Mathematics Ability ◽  
Linear Equation System ◽  
Thinking Process ◽  
Descriptive Qualitative

This research aimed to describe the thinking process of students in solving the system of linear equations based on Polya stages. This study was a descriptive qualitative research involving six Year 10 students who are selected based on the teacher's advice and the initial mathematical ability categories, namely: (1) Students with low initial mathematics ability, (2) Students with moderate initial mathematics ability, and ( 3) students with high initial mathematics ability categories. The results indicated that students with low initial mathematical ability category were only able to solve the two-variable linear equation system problems. Students in the medium category of initial mathematics ability and students in the category of high initial mathematics ability were able to solve the problem in the form of a system of linear equations of two variables and a system of three-variable linear equations. However, students found it challenging to solve problems with complicated or unusual words or languages.

scholarly journals Fostering Mathematical Creativity Among Engineering Undergraduates

2019 ◽  
Vol 1 (1) ◽  
pp. 31-40
Author(s):  
Keng Keh Lim ◽  
Zaleha Ismail ◽  
Yudariah Mohammad Yusof
Keyword(s):  
Qualitative Research ◽  
Problem Solving ◽  
Research Design ◽  
Mathematical Creativity ◽  
Qualitative Research Design ◽  
Creative Methods ◽  
Mathematical Problems ◽  
Creative Problem ◽  
Engineering Undergraduates

This research is used to study engineering undergraduates fostering their mathematical creativity during creative problem solving. This was an exploratory research carried out in a public university as to find out the impact of CPS towards mathematical creativity among the engineering undergraduates. A case study was used to provide deep exploration of how the engineering undergraduates using their creative methods to solve open-ended mathematical problems creatively. Qualitative research design was applied in order to understand in depth the engineering undergraduates working collaboratively to generate their creative ideas during mathematical problem solving. Three final years engineering undergraduates took part in the study.  They had to use their divergent and convergent thinking to generate creative methods to solve twelve open-ended mathematical problems. Qualitative research design of case study was used in this study to explore the engineering undergraduates using creative methods to solve open-ended mathematical problems during creative problem solving processes. By analyzing the data collected from the case study can provide in-depth and detail understanding of the creative processess and products of the research. Observation and recording sheets were used to collect all the data. SCAMPER was also used as a guideline for them to spark their creaivity. All the qualitative data of drawing from documents, videotape from observation and snapshot texts from recording sheets were collected and then analyzed. They were coded and categorized into different themes in order to find out the mathematical creativity among the engineering undergraduates. The results in this study shows that the engineering undergraduates were able to generate different creative methods with the help of the SCAMPER.

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