scholarly journals KEMAMPUAN PENALARAN MATEMATIS SISWA DALAM MEMECAHKAN MASALAH ALJABAR BERDASARKAN GAYA KOGNITIF FIELD INDEPENDENT

2019 ◽  
Vol 1 (1) ◽  
pp. 61-73
Author(s):  
Tanti Erviana
Keyword(s):  
Data Analysis ◽  
Problem Solving ◽  
Cognitive Style ◽  
Qualitative Data ◽  
Mathematical Reasoning ◽  
Reasoning Ability ◽  
Related Information ◽  
Independent Field ◽  
Field Independent ◽  
Main Instrument

This research aims to describe the level of mathematical reasoning ability of students with field-independent cognitive styles in solving algebra problems. The research method used is a qualitative descriptive approach, using qualitative data then described to produce a clear and detailed picture of students' mathematical reasoning with independent field cognitive style in solving algebra problems. The subjects of the research were Class VIII students’ of SMP Negeri 47 Surabaya. The main Instrument in this study is the researchers themselves. Instrument supporters in this research is divided into 2 kinds of Tests, namely the task of problem solving algebra, and guidelines for the interview. Data collection Techniques in the study carried out using two techniques, namely written tests and interviews. The process of data analysis in this study refers to qualitative data analysis process, namely the reduction of data, presenting the data, and draw conclusions. the results of this research indicate that (1) able to conduct an investigation of the problems faced thoroughly, (2) able to plan problem solving by connecting various related information, (3) able to use the strategy chosen correctly and correctly, and (4) able to re-examine, evaluate, and draw valid conclusions based on the solution of the problem obtained. In addition, the results of this study indicate that the level of mathematical reasoning ability of students is in the category sufficient to meet the mathematical reasoning indicators of field-independent cognitive style.

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 Collaborative Problem-Solving Strategies and Cognitive Style: The Impact and Interaction on Students' Mathematical Reasoning Abilities

2021 ◽  
Vol 58 (2) ◽  
pp. 841-848
Author(s):  
Agus Setiawan Et al.
Keyword(s):  
Problem Solving ◽  
Cognitive Style ◽  
Learning Strategies ◽  
Mathematical Reasoning ◽  
Cognitive Styles ◽  
Collaborative Problem Solving ◽  
Reasoning Abilities ◽  
Collaborative Problem ◽  
Field Independent ◽  
Field Dependent

This study aims at identifying the effect of collaborative problem solving (CPS) learning strategies on students' mathematical reasoning abilities with different cognitive styles, namely field-dependent (FD) and field-independent (FD). This study is a quasi-experimental study with a 2x2 factorial design. A total of 103 students of SMPN 3 Mesuji, Indonesia as research subjects. Mathematical reasoning ability data were obtained from essay tests and cognitive style data were obtained from the GEFT test. Data analysis used two-way analysis of variance (ANOVA) test. The results of this study are: 1) there were significant differences in mathematical reasoning abilities between students who received collaborative problem solving and direct instruction learning strategies, 2) there were significant differences in mathematical reasoning abilities between students who had field dependent and field independent cognitive styles, 3) there was no significant interaction between different learning strategies (collaborative problem solving and direct instruction) and cognitive styles (field dependent and field independent) on mathematical reasoning abilities.

Komparasi Kemampuan Penalaran matematis mahasiswa ditinjau dari Gaya Kognitif

2020 ◽  
Vol 2 (2) ◽  
pp. 142-153
Author(s):  
Farah Heniati Santosa ◽  
Habib Ratu Perwira Negara ◽  
Indrawati ◽  
Samsul Bahri ◽  
Samsuriadi
Keyword(s):  
Cognitive Style ◽  
Mathematical Reasoning ◽  
Cognitive Styles ◽  
First Semester ◽  
Reasoning Abilities ◽  
Independent Field ◽  
Field Independent ◽  
Field Dependent ◽  
Quasi Experiment

This study aims to obtain a picture of the achievement of mathematical reasoning abilities of students who obtain PBL learning in terms of cognitive fields dependent and field independent. This research is a quasi-experiment involving 97 first semester students. Analysis of the study used one way ANAVA. The research instruments were cognitive style tests and mathematical reasoning abilities tests. The results of the study concluded that there are differences in students' mathematical reasoning abilities that have field dependent and field independent cognitive styles, that is, students with independent field cognitive styles have better mathematical reasoning abilities compared to students with field dependent cognitive styles.

scholarly journals ANALISIS KEMAMPUAN PEMECAHAN MASALAH MATEMATIS SISWA MELALUI IMPLEMENTASI POGIL DITINJAU DARI GAYA KOGNITIF

2019 ◽  
Vol 3 (2) ◽  
pp. 69-75
Author(s):  
Tias Estiningrum ◽  
Destia Wahyu Hidayati ◽  
Arie Wahyuni
Keyword(s):  
Problem Solving ◽  
Cognitive Style ◽  
Qualitative Data ◽  
Mathematical Problem ◽  
Test Results ◽  
Field Independent ◽  
Field Dependent ◽  
Sample Technique ◽  
The Subject ◽  
Purposive Sample

Penelitian ini bertujuan untuk menganalisis kemampuan pemecahan masalah matematis siswa melalui implementasi model POGIL ditinjau dari gaya kognitif Field Independent(FI)dan Field Dependent(FD). Penelitian ini merupakan penelitian campuran atau mix method. Subjek kelas penelitiannya adalah kelas XI Pemasaran 1 SMK Negeri 2 Semarang, ditentukan dengan menggunakan teknik purposive sample. Pengumpulan data dilakukan dengan tes dan wawancara. Hasil tes GEFT digunakan untuk menentukan subjek penelitian berdasarkan gaya kognitif, dipilih 2 siswa bergaya FI dan 2 siswa bergaya FD. Data kualitatif dianalisis dengan melakukan 3 tahapan yaitu reduksi data, penyajian data dan menarik kesimpulan sedangkan data kuantitatif dianalisis menggunakan program Quest. Hasil penelitian sebagai berikut 1) Kemampuan pemecahan masalah siswa FI pada tahap memahami masalah, merencanakan penyelesaian, melaksanakan perencanaan masalah hingga memeriksa kembali seluruhnya berkategori baik. 2) Kemampuan pemecahan masalah siswa FD pada tahap memahami masalah berkategori cukup, sedangkan tahap merencanakan penyelesaian, melaksanakan penyelesaian masalah hingga memeriksa kembali berkategori kurang. Kata Kunci: Kemampuan Pemecahan Masalah, Gaya Kognitif This study aims to analyze students’ mathematical problem solving abilities through the implementation of the POGIL model in term of the Field Independent (FI) and Field Dependent (FD) cognitive styles. This research is a mixed research or mix method. The subject of the research class was Class XI Marketing 1 SMK Negeri 2 Semarang, determined using purposive sample technique. Data collection is done by tests and interviews. GEFT test results are used to determined research subject based on cognitive style, selected 2 FI style students and 2 FD style students. Qualitative data were analyzed by carrying out 3 stages : data reduction, data presentation and drawing conclusion while quantitative data analysed using the Quest program. The result of study are as follow 1) The problem solving ability of FI students the stage of understanding of problem, planning a solution, carrying out a problem planning to re-checking all of the categorized as good, 2) The problem solving ability of FD students at the stage understanding the problem is categorized as sufficient, while the stage of planning the solution, carrying out the problem solving up to re-checking the category is deficient. Keywords: Problem Solving Ability, Cognitive Style     

scholarly journals KEMAMPUAN PENALARAN BERDASARKAN KEYAKINAN MATEMATIKA DALAM PEMBELAJARAN PBL MELALUI PENDEKATAN INTERAKSI DYADIC

2018 ◽  
Vol 10 (2) ◽  
pp. 31
Author(s):  
Dyah Retno Kusumawardani
Keyword(s):  
Data Analysis ◽  
Quantitative Research ◽  
Mathematical Reasoning ◽  
T Test ◽  
Qualitative Description ◽  
Dyadic Interaction ◽  
Reasoning Ability ◽  
Test Items ◽  
The Difference ◽  
Interaction Approach

The purposes of this research were (1) to describe the learning quality of PBL through dyadic interaction approach to mathematical reasoning ability of grade X students of IT Al Irsyad Purwokerto High School (2) to find pattern of students reasoning ability based on mathematical belief. This study uses a mixed method. Data analysis started from the analysis of test items. The analysis uses the prerequisite test and then hypothesis testing uses rara average (t-test), then the proportion of comparative tests (test-z) is to calculate the classical completeness. Further testing of determining the difference between the two classes uses different test average (t-test right side). Qualitative data analysis uses qualitative description. The results of quantitative research shows that learning class with PBL and dyadic interaction approach reached classical total 80%. The average difference test showed class’ results with PBL dyadic interaction approach better than a class activity with PBL. Subjects with very low belief can only fulfill 1 reasoning indicator well. Subjects with low belief can fulfill 3 reasoning indicators well and have not been able to fulfill 1 other indicator. Subjects with high belief can fulfill 4 indicators where 1 indicator is imperfect and subject with very high belief can fulfill all the indicators of reasoning well and complete.

scholarly journals PROFIL PENALARAN MATEMATIS SISWA SMP DALAM PEMECAHAN MASALAH ARITMETIKA SOSIAL BERDASARKAN KEMAMPUAN MATEMATIKA

MATHEdunesa ◽  
2021 ◽  
Vol 10 (1) ◽  
pp. 110-120
Author(s):  
YULIANA DWI RAHMAWATI ◽  
Masriyah Masriyah
Keyword(s):  
Problem Solving ◽  
Qualitative Data ◽  
Mathematical Reasoning ◽  
Research Subjects ◽  
Ability Test ◽  
Reasoning Abilities ◽  
Mathematical Abilities ◽  
Reasoning Problem ◽  
Mathematical Problems ◽  
Problem Solving Strategies

Mathematical reasoning is the ability to think about mathematical problems, namely by thinking logically about mathematical problems to get conclusions about problem solutions. There are several factors that can affect students' mathematical reasoning, including mathematical abilities. Dissimilarity of students' mathematical abilities allows for dissimilarity in their mathematical reasoning abilities. So, this research intends to describe students' mathematical reasoning abilities in solving social arithmetic problems based on dissimilarity in mathematical abilities. The purpose of this research was to describe qualitative data about the mathematical reasoning abilities of students with high, medium, or low abilities in solving social arithmetic problems. The instrument used was the Mathematical Ability Test to determine the three research subjects, followed by a Problem Solving Test to get qualitative data about students' mathematical reasoning abilities, then interviews to get deeper data that was not obtained through written tests. Thus, the research data were analyzed using mathematical reasoning indicators. From the result of data analysis, it was found that all students understood the problem well. Students with high and medium mathematical abilities are determining and implementing problem solving strategies properly, namely writing down the step for solving them correctly and making accurate conclusions by giving logical argumens at aech step of the solution. However, students with low mathematical abillities have difficulty in determining and implementing problem solving strategies because they do not understand the concept, thus writing the steps to solve the problems incorrectly and not giving accurate conclusions about the correctness of the solution. Keywords: mathematical reasoning, problem solving, mathematical abilities

scholarly journals Perbandingan keefektifan pendekatan problem solving dan problem posing dalam pembelajaran matematika pada siswa SMP

2016 ◽  
Vol 11 (2) ◽  
pp. 136
Author(s):  
Harinda Nurril Falach
Keyword(s):  
High School ◽  
Problem Solving ◽  
Junior High School ◽  
Junior High ◽  
Mathematical Reasoning ◽  
Mathematical Understanding ◽  
T Test ◽  
Problem Posing ◽  
Reasoning Ability ◽  
Quasi Experiment

Penelitian ini bertujuan untuk mendeskripsikan: 1) keefektifan pendekatan problem solving terhadap kemampuan pemahaman dan penalaran matematis; 2) keefektifan pendekatan problem posing terhadap kemampuan pemahaman dan penalaran matematis; 3) perbandingan keefektifan antara pendekatan pembelajaran problem solving dan problem posing terhadap kemampuan pemahaman dan penalaran matematis siswa SMP pada pembelajaran bangun ruang sisi datar. Penelitian ini merupakan penelitian eksperimen semu (quasi experiment). Data dianalisis menggunakan one sample t test, uji MANOVA rumus T2 Hotteling, dan uji t kriteria Bonferroni. Hasil penelitian menunjukkan bahwa: 1) pendekatan problem solving  efektif terhadap kemampuan pemahaman dan penalaran matematis; 2) pendekatan problem posing efektif terhadap kemampuan pemahaman dan penalaran matematis; 3) pendekatan problem solving lebih efektif dibandingkan problem solving terhadap kemampuan pemahaman matematis tetapi pendekatan problem solving tidak lebih efektif dibandingkatn problem posingterhadap kemampuan penalaran matematis siswa SMP pada pembelajaran bangun ruang sisi datar.Kata kunci: pendekatan problem solving, pendekatan problem posing, kemampuan pemahaman matematis, dan kemampuan penalaran matematis. The effectiveness comparison of problem solving and problem posing approaches in mathematics learning towards junior high school students AbstractThe aim of this study is to describe: 1) the effectiveness of problem solving approach on mathematical understanding and reasoning ability; 2) the effectiveness of problem posing approach on mathematical understanding and reasoning ability; 3) the comparison effectiveness of polyhedral learning using problem solving approach and problem posing approach on mathematical understanding and reasoning ability of State Junior High School. This study was a quasi experiment. The data were analyzed using one-sample t test, MANOVA test with T2 Hotteling's formula, and t-test with Bonferroni criterion. The results of the study show that: 1) the problem solving approach has an effect on mathematical understanding and reasoning ability; 2) the problem posing approach has an effect on mathematical understanding and reasoning ability; and 3) the problem solving approach is more effective than the problem posing approach on mathematical understanding ability, but the problem solving approach is not more effective in polyhedral learning than the problem posing approach on mathematical reasoning ability of State Junior High.Keywords: problem solving approach, problem posing approach, mathematical understanding ability, and mathematical reasoning ability

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). 

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