MATHEMATICAL REASONING ABILITIES OF STUDENTS IN TERMS OF FIELD DEPENDENCE (FD) COGNITIVE STYLE IN PROBLEM-SOLVING

Every individual has different abilities in translating problems because it is influenced by basic knowledge, experience, and cognitive. The cognitive types of FD were identical slower than others. This study describes the mathematical reasoning of students with cognitive type of FD in problem solving. The research data needed is the GEFT test, problem-solving tests, and interviews involving twostudents in level IV . All data were analyzed inductively. The results showed that students with the cognitive type of FD needed a long time to create connection to the problem thinking and they needed direction as a stimulus to stimulate their thinking. Lecturers can use realistic examples in the environment around them to make connections in their thinking.

Download Full-text

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

Psychology and Education Journal ◽

10.17762/pae.v58i2.1958 ◽

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.

Download Full-text

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

MATHEdunesa ◽

10.26740/mathedunesa.v10n1.p110-120 ◽

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

Download Full-text

Cognitive psychology and problem solving in the physical sciences

New Directions in the Teaching of Physical Sciences ◽

10.29311/ndtps.v0i6.374 ◽

2016 ◽

pp. 21-25

Author(s):

David Sands ◽

Tina Overton

Keyword(s):

Working Memory ◽

Cognitive Psychology ◽

Problem Solving ◽

Mental Models ◽

Cognitive Style ◽

Field Dependence ◽

Physical Sciences

This paper provides and introduction to the literature on cognitive psychology and problem solving in physical sciences. We consider the working memory and its three different components, two of which hold and record information and are controlled by an executive that controls attention. Working memory alone cannot explain problem solving ability and we review the influence of schemata, the construction of mental models, visual reasoning and the cognitive style of field dependence.

Download Full-text

ANALISIS KEMAMPUAN PENALARAN MATEMATIS SISWA DALAM MENYELESAIKAN SOAL SETARA PISA KONTEN GEOMETRI

Numeracy ◽

10.46244/numeracy.v7i2.1167 ◽

2020 ◽

Vol 7 (2) ◽

Author(s):

Orin Asdarina ◽

Masriyah Ridha

Keyword(s):

Data Analysis ◽

Problem Solving ◽

Data Collection ◽

Research Design ◽

Mathematical Reasoning ◽

Reasoning Abilities ◽

Descriptive Research ◽

Class Viii ◽

High Level

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

Download Full-text

PENGARUH METODE PEMBELAJARAN PEMECAHAN MASALAH DAN GAYA KOGNITIF TERHADAP HASIL BELAJAR MATEMATIKA

Akademika ◽

10.34005/akademika.v7i01.309 ◽

2018 ◽

Vol 7 (01) ◽

pp. 43-71

Author(s):

Nurhayati Na ◽

Khasanah Na

Keyword(s):

Problem Solving ◽

Cognitive Style ◽

Learning Outcomes ◽

Field Dependence ◽

Teaching Method ◽

Mathematics Learning ◽

Cognitive Styles ◽

Field Independence ◽

Learning Problem ◽

Expository Teaching

This study aimed to determine : ( 1 ) The difference in student learningoutcomes treated with problem-solving learning method is higher than student learningoutcomes treated with expository teaching methods , (2 ) interaction between learningmethod with cognitive style on learning outcomes of mathematics ; ( 3 ) the results of themathematical learning of students who have cognitive style field independence givenlearning problem-solving methods of treatment is higher than the expository method , (4 )the results of the mathematical learning of students who have cognitive style fielddependence given treatment expository teaching method is higher than the problemsolving methods . The hypothesis in this study were 1 ) There are differences in studentlearning outcomes treated with the methods of learning and problem solving expositoryteaching methods ; 2 ) There is an interaction between cognitive styles and teachingmethods on learning outcomes of mathematics ; 3 ) mathematics learning outcomes ofstudents who have cognitive style field independence given learning problem-solvingmethods of treatment is higher than the expository method ; 4 ) mathematics learningoutcomes of students who have cognitive style field dependence given treatmentexpository teaching method is higher than the methods of solving problems . The targetpopulation is the entire fourth grade students SDIT Al - Izzah Serang Banten whichtotaled 173 students . Samples were taken with a random sampling technique thatrandomly select each of the two ( 2 ) classes to be treated with the use of teachingmethods and classroom problem solving using learning methods usedekspositori.Instrumen untukmendapatkan data through student learning outcomesvariable ( Y ) using tests of cognitive learning outcomes , cognitive style variables usingtests of cognitive style Group embedded Figures test ( GEFT ) . The results showed that :First , the results of student learning using a problem -solving method of teaching ishigher than that using the expository method , value sig = 0.009 < α = 0.05 . Second ,there was an interaction between cognitive styles and learning methods , Value sig = 0.00< α = 0.05 , F value = 5.168 > F = 3.99 . Third , mathematics learning outcomes ofstudents who have cognitive style field independence given learning problem-solvingmethods of treatment is higher than the expository method , with the results Qhitung >Qtabel ( 4.55 > 2.95 ) . Mathematics learning outcomes of students who have thecognitive style of field dependence given treatment expository teaching method is higherthan the methods of solving problems , with the result Qhitung > Qtabel (3.03 > 2.95 )

Download Full-text

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

Alifmatika: Jurnal Pendidikan dan Pembelajaran Matematika ◽

10.35316/alifmatika.2019.v1i1.61-73 ◽

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.

Download Full-text

Describing student’s mathematical power: Do cognitive styles make any difference?

Bulletin of Applied Mathematics and Mathematics Education ◽

10.12928/bamme.v1i1.3856 ◽

2021 ◽

Vol 1 (1) ◽

pp. 39

Author(s):

Harina Fitriyani ◽

Fariz Setyawan ◽

Aan Hendroanto ◽

Vita Istihapsari

Keyword(s):

High School Students ◽

Problem Solving ◽

Cognitive Style ◽

Junior High School ◽

Mathematical Reasoning ◽

Cognitive Styles ◽

Mathematical Representation ◽

School Students ◽

Mathematical Competence ◽

Competence Test

Mathematical competence refers to the skills of students in reasoning, connection, communication, representation, and problem-solving. Various researchers have massively discussed on how to foster mathematical competence. However, it is just a few of them comprehensively explain from the cognitive styles perspective. This research aims to measure the junior high school students’ mathematical competence based on their cognitive style.This research used a descriptive qualitative approach. There were 35 students took part in the mapping of cognitive styles using the Matching Familiar Figure Test and were then selected representative from the reflective and the impulsive cognitive style to have a further assessment of the mathematical competence using the mathematical competence test. The data analysis used the model of Milles and Huberman. The results showed that there was a difference mathematical competence between the subject having impulsive cognitive style and the one having reflective cognitive style. The percentage of mathematical competence of reflective subject was 69% while the impulsive subject was 56.89%. From all aspects of mathematical competence, the reflective subject tends better ability; for instance, the reflective subject has better ability than the impulsive subject on mathematical connection, mathematical reasoning, mathematical representation, and problem-solving.

Download Full-text

Penerapan Model Pembelajaran Problem Solving Dengan Pendekatan Saintifik Pada Kemampuan Penalaran Matematis Siswa Kelas VIII B SMP Negeri 1 Padamara

AlphaMath : Journal of Mathematics Education ◽

10.30595/alphamath.v6i1.7943 ◽

2020 ◽

Vol 6 (1) ◽

pp. 62

Author(s):

Dyah Ayu Nur Khoeriyah ◽

Ahmad Ahmad

Keyword(s):

Problem Solving ◽

Junior High School ◽

Mathematical Reasoning ◽

Action Planning ◽

Reasoning Ability ◽

Ability Test ◽

Average Value ◽

Reasoning Abilities ◽

Flat Side ◽

Class Viii

This study aims to improve students' mathematical reasoning abilities in learning mathematics through Problem Solving with Scientific approaches. The subjects in this study were all students of class VIII B, Padamara 1 st junior high school, totaling 33 students. This research was conducted in 3 cycles, each cycle consisting of 2 meetings. Each cycle in this study includes action planning, action implementation, observation and reflection. To measure the ability of mathematical reasoning is evaluated using the mathematical reasoning ability test. Based on the results of the study, the mathematical reasoning ability of the first cycle obtained an average value of 40.9, the second cycle obtained an average value of 60.15, and the third cycle obtained an average value of 63.3. The conclusion obtained from this study is that learning with Problem Solving with the Scientific approach can improve the mathematical reasoning ability of students of class VIII B Padamara 1 N Middle School, especially the subject of Building a Flat Side Room.

Download Full-text

Implementasi PBL Berbantuan GSP Software Terhadap Peningkatan Kemampuan Pemecahan Masalah Matematik Siswa

IndoMath Indonesia Mathematics Education ◽

10.30738/indomath.v1i1.2091 ◽

2018 ◽

Vol 1 (1) ◽

pp. 19 ◽

Cited By ~ 3

Author(s):

Evan Farhan Wahyu Puadi ◽

Muhammad Irfan Habibie

Keyword(s):

Quantitative Analysis ◽

Problem Solving ◽

Mathematical Reasoning ◽

Research Data ◽

Observation Data ◽

Geometer's Sketchpad ◽

Problem Solving Skills ◽

Quasi Experimental ◽

Class Viii ◽

The Subject

This study aims to see the improvement of problem solving abilities of mathematical students of smp with the model of assisted PBL Geometer's Sketchpad, this study is quasi experimental because in this study subjects are not grouped randomly, but researchers accept the state of the subject as it aims to see the improvement of problem-solving skills and the ability of mathematical reasoning with PBL-aided model of Geometer's Sketchpad. The population of this study is all students of class VIII SMPN 2 Sindangagung Kuningan, the sample of the study is a class VIII students as much as two classes. The study consisted of two groups, the group with the learning of PBL with Geometer's Sketchpad and the group with conventional learning. Each group consists of thirty students. Research data were collected through problem-solving test, and observation. Data analysis is done qualitatively and quantitatively. Quantitative analysis was done by using t-test and nonparametric Mann-Whitney. Qualitative analysis is done by observing the observation data. From the plot diagram it can be seen that problem solving ability is increased in students with low category. The results of this study are (1) Improved problem-solving abilities that obtained a better learning model than students who received regular learning

Download Full-text

MENINGKATKAN KEMAMPUAN PEMECAHAN MASALAH DAN PENALARAN MATEMATIS DENGAN LAPS-HEURISTIC DAN PENDEKATAN OPEN-ENDED

M A T H L I N E Jurnal Matematika dan Pendidikan Matematika ◽

10.31943/mathline.v2i1.38 ◽

2017 ◽

Vol 2 (1) ◽

pp. 91-108

Author(s):

Moch. Rasyid Ridha

Keyword(s):

Problem Solving ◽

Mathematical Reasoning ◽

Mathematical Problem ◽

Mathematical Problem Solving ◽

Control Group ◽

Microsoft Excel ◽

Control Group Design ◽

Reasoning Abilities ◽

Reasoning Test ◽

Medium Correlation

This article reports the findings from an experimental pretest-posttest control group design conducted by using open-ended approach with Logan avenue problem solving (LAPS)-Heuristic model to investigate students’ mathematical problem solving and reasoning abilities. The study involved 88 grade-10 students from SMA in Bandung. The instrumens of this study are mathematical problem solving test and mathematical reasoning test. By using SPSS 2.0.0 and Microsoft Excel 2013, the study found the open-ended approach with Logan avenue problem solving (LAPS)-Heuristic was able to improve students’ mathematical problem solving and reasoning abilities better than that of conventional approach. Students’ mathematical problem solving and reasoning abilities were classified as mediocore. Furthermore, the study found there was medium correlation between mathematical problem solving and reasoning abilities.

Download Full-text