scholarly journals Intuition Characteristics of Student in Mathematical Problem Solving in Cognitive Style

2020 ◽  
Vol 1 (2) ◽  
pp. 31-42
Author(s):  
Megasari Wuryanie ◽  
Teguh Wibowo ◽  
Nila Kurniasih ◽  
Isnaeni Maryam
Keyword(s):  
Cognitive Style ◽  
Mathematical Problem ◽  
Mathematical Problem Solving ◽  
Data Display ◽  
Analysis Techniques ◽  
Field Independent ◽  
Field Dependent ◽  
Mathematical Problems ◽  
Field Notes ◽  
Data Validity

This study aims to describe the student's intuition characteristics in solving mathematical problems in the cognitive style Field Dependent (FD) and Field Independent (FI). Source of data comes from students taken with a purposive technique. Data collection techniques using tests, field notes, and interviews. The data validity inspection technique used triangulate technique. Data analysis techniques used data reduction, data display, and conclusion drawing. Based on the results of the study concluded that: students with a Field Dependent (FD) cognitive style used intuition with direct, self-evident, extrampolativeness, intrinsic certainly, coerciveness, and conclusive characteristics. While students with Field Independent (FI) cognitive style use intuition with direct, extrampolativeness, self-evident, intrinsic certainly, coerciveness, and conclusive characteristics. In addition, there are also characteristics that are not found in Field Dependent students, there are globality and one of the anticipatory intuition characteristics (trying hard to solve problems).

scholarly journals Students’ Metacognitive Process in Mathematical Problem Solving Based on Cognitive Style

2021 ◽  
Vol 1 (1) ◽  
pp. 47-55
Author(s):  
Rina Apriyani ◽  
Ibrahim
Keyword(s):  
High School Students ◽  
Problem Solving ◽  
Cognitive Style ◽  
Junior High School ◽  
Mathematical Problem ◽  
Mathematical Problem Solving ◽  
Mathematical Symbol ◽  
Field Independent ◽  
Field Dependent ◽  
Data Library

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.

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

ANALYSIS OF MATHEMATICAL RESOLUTION REVIEWED FROM COGNITIVE STYLE AND MATHEMATICAL ANXIETY OF STUDENTS IN STUDENTS OF CLASS VII SMP FRATER MAKASSAR

2019 ◽  
Vol 1 (1) ◽  
pp. 15-21
Author(s):  
Silvester S
Keyword(s):  
Problem Solving ◽  
Cognitive Style ◽  
Mathematical Problem ◽  
Mathematical Problem Solving ◽  
High Anxiety ◽  
Analysis Techniques ◽  
Field Independent ◽  
Mathematical Anxiety ◽  
The Subject ◽  
Math Test

This study aims to 1) description of the mathematical problem solving in terms of cognitive style field-independent (FI) mathematical anxiety and low and high, 2) description of mathematical problem solving in terms of cognitive style field-dependent (FD) and mathematical low and high anxiety. Type a descriptive qualitative research. Instrument and data collection that is used in the form of Test anxiety now, GEFT, math test and interview. Data analysis techniques used, namely the reduction of data, data presentation, data verification and withdrawal of the conclusion. Research results: 1) the stylish Subject of cognitive ability in resolving the problem FI i.e. analytical and clear, but there is confusion on step completion caused high anxiety. 2) FD Subject in resolving problems i.e. thorough thinking because anxiety low was able to complete the issue hadn't yet high anxiety while still think dabble so can not solve the problem completely. 3) link between cognitive style and anxiety seen in a mathematically solve problems I on righteousness calculations and measures penyelesainnya. While the mathematical anxiety cognitive style is influenced by the FI and FD is seen in resolving problems, a subject that has broad perceptions of analytic and so was able to resolve the problem, while the subject is more intuitive, FD presepsi narrow and unable to resolve the problem completely

scholarly journals THE DIFFERENCES OF COGNITIVE STYLE FIELDS-INDEPENDENT AND DEPENDENT ON STUDENTS' MATHEMATICAL PROBLEM SOLVING ABILITIES

2020 ◽  
Vol 9 (2) ◽  
Author(s):  
Hasbullah Hasbullah ◽  
Supardi Uki Sajiman
Keyword(s):  
Problem Solving ◽  
Cognitive Style ◽  
Mathematical Problem ◽  
Sampling Technique ◽  
Simple Random Sampling ◽  
Survey Method ◽  
Mathematical Problem Solving ◽  
Field Independent ◽  
Field Dependent ◽  
Research Types

The study aims to determine the differences in field-independent cognitive styles with a dependent on students' mathematical problem solving abilities. This researcher uses a quantitative approach with a correlational survey method with factual exposure research types. The study population was the seventh grade students of Madrasah Tsanawiyah in Lombok Timur, amounting to 680. The sampling used was simple random sampling technique. The sampling technique uses percentage techniques. From a population of 680 people taken 10%, so the number of samples in this study was 68 people. The hypothesis analysis test used the t test with SPSS 22. The results showed that there was a difference between students' mathematical problem solving abilities in the group of students who had a field independent cognitive style and a group of students who had a field dependent cognitive style. the principal in recruiting students to enter the Madrasah Tsnawiyah, not only the value of the results of the National Primary School exam but rather the grouping of students based on independent and field dependent cognitive field styles

scholarly journals Writing and mathematical problem solving in Grade 3

2017 ◽  
Vol 7 (1) ◽  
pp. 9 ◽  
Author(s):  
Belinda Petersen ◽  
Sharon McAuliffe ◽  
Cornelis Vermeulen
Keyword(s):  
Problem Solving ◽  
Mathematical Problem ◽  
Mathematical Problem Solving ◽  
Ability Group ◽  
Mathematics Intervention ◽  
Mathematical Problems ◽  
Field Notes ◽  
Problem Solving Strategies ◽  
Grade 3 ◽  
And Mathematics

This article looks at writing tasks as a methodology to support learners’ mathematical problemsolving strategies in the South African Foundation Phase context. It is a qualitative case study and explores the relation between the use of writing in mathematics and development of learners’ problem-solving strategies and conceptual understanding. The research was conducted in a suburban Foundation Phase school in Cape Town with a class of Grade 3 learners involved in a writing and mathematics intervention. Writing tasks were modelled to learners and implemented by them while they were engaged in mathematical problem solving. Data were gathered from a sample of eight learners of different abilities and included written work, interviews, field notes and audio recordings of ability group discussions. The results revealed an improvement in the strategies and explanations learners used when solving mathematical problems compared to before the writing tasks were implemented. Learners were able to reflect critically on their thinking through their written strategies and explanations. The writing tasks appeared to support learners in providing opportunities to construct and apply mathematical knowledge and skills in their development of problem-solving strategies.

scholarly journals PROFIL PEMECAHAN MASALAH MATEMATIKA MAHASISWA MENGGUNAKAN LANGKAH POLYA BERDASARKAN GAYA KOGNITIF FIELD INDEPENDENT DAN FIELD DEPENDENT

2018 ◽  
Vol 6 (1) ◽  
pp. 1
Author(s):  
Dewi Kristika Findia Ning Tyas
Keyword(s):  
Problem Solving ◽  
Cognitive Style ◽  
Mathematical Problem ◽  
Descriptive Research ◽  
Planning Step ◽  
Field Independent ◽  
Field Dependent ◽  
Program Technique ◽  
The Subject ◽  
The Difference

Based on the experience of the researchers taught the subject of Economic Mathematics many students who have not been able to solve the problem solving. One alternative that can be used to solve the problem is by using Polya steps. When solving a mathematical problem, each student has a different way of thinking. The difference is possible because of differences in student cognitive style. The cognitive styles used in this research are Field Independent cognitive style and Field Dependent cognitive style. The material chosen in this research is the demand function, the Bid Function, the Savings Function and the Taxation Function. This research is a descriptive research with qualitative approach which aims to describe the problem solving ability of student mathematics using Polya steps in terms of cognitive style of FI and FD. Subjects in this research are students of VI semester of Mathematics Education Program. Technique of taking research subject is by purposive sample. The results showed that FI subject understood the problem well. In the planning step, the FI subject can analyze the information received. Subjects use previously learned information and solve problem-solving given to the problem as planned and check back on each question. The subject of FD can not receive information and understand the problems that exist in the problem and can not process information/do not understand the purpose of the problem. In the planning step, the subject of FD is unable to think how to solve the problem and is not accustomed to rechecking

scholarly journals Proses Berpikir dalam Memecahkan Masalah Logika Matematika Ditinjau dari Gaya Kognitif Field Independent dan Field Dependent

2017 ◽  
pp. 93
Author(s):  
Ardi Dwi Susandi ◽  
Santi Widyawati
Keyword(s):  
Cognitive Style ◽  
Cognitive Styles ◽  
Thought Process ◽  
Field Independent ◽  
Analysis Technique ◽  
Conceptual Thought ◽  
Field Dependent ◽  
Mathematical Problems ◽  
Processing Information ◽  
Thinking Process

The process of thinking is the steps that a person uses in receiving, processing, concluding, and reusing the information obtained to resolve the issues related to solve the problem of the memory. While cognitive style is an activity that became a characteristic of learners in the functioning of mental activities in the field of cognitive (thinking, remembering, processing information, organizing, solving problems, and making decisions) which is consistent. Cognitive style has a major role when utilized in an effort to improve the effectiveness of the learning process. Cognitive styles are divided into two, namely, Field Independent (FI) and Field Dependent (FD). This research is descriptive qualitative which describes the process of thinking of students in solving mathematical problems on material combinations and permutations. The data collection method in this study using GEFT tests to determine cognitive styles of students, test description of material combinations and permutations to obtain the thinking process of students, and interviews. Based on cognitive style, students are grouped into 2 groups: FI and FD, and then subsequently selected two students from two groups of students from the FI and FD to give test of thinking ability and then interviews. Data analysis technique used Miles and Huberman, data reduction, display, and conclusion drawing / verification. Based on the analysis we concluded that students who have the cognitive styles FI tend to have a conceptual thought process. Likewise, students who have the cognitive style FD, these students are also likely to have a conceptual thought process. The process of conceptual thinking is the thought process which solves problems by using the concept that has been owned by the results of studies.

scholarly journals STUDENTS’ REFLECTIVE THINKING IN MATHEMATICAL PROBLEM SOLVING

MaPan ◽  
2021 ◽  
Vol 9 (1) ◽  
pp. 153
Author(s):  
Rijalush Sholikhin ◽  
Dian Septi Nur Afifah ◽  
Maryono Maryono
Keyword(s):  
Reflective Thinking ◽  
Mathematical Problem ◽  
Linear Equations ◽  
Mathematical Ability ◽  
Data Display ◽  
Analysis Techniques ◽  
Mathematical Problems ◽  
The Subject ◽  
Study Type

This study aims to describe reflective thinking in solving mathematical problems on linear equations system with three variables based on mathematical abilities. This study uses a qualitative approach with case study type. The instruments in this study used tests and interviews. The subjects of this study came from 38 students grade X Natural Science 2 Islamic Senior High School 3 Blitar, taken one from each category of students with high, moderate, and low mathematical ability to be the subject of research. The data analysis techniques used are data reduction, data display, and conclusions drawing/verification. The validity test of data used persistent observation and triangulation. The research results obtained by students with high and moderate abilities can meet the phase of reacting, comparing, and contemplating in reflective thinking. Meanwhile, low mathematical ability students are only able to meet the reacting and comparing phases. 

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