scholarly journals Semiotic analysis of formal operational students with field dependent and field independent cognitive style in linear programming problem solving

2021 ◽  
Vol 7 (2) ◽  
pp. 144-158
Author(s):  
Karmila Putri Setiawati ◽  
Agung Lukito ◽  
Siti Khabibah

Tujuan penelitian ini adalah untuk mendeskripsikan semiotika siswa operasional formal dengan gaya kognitif berbeda dalam pemecahan masalah pemrograman linear. Subjek penelitian ini adalah satu siswa bergaya kognitif field-dependent (SFD) dan satu siswa bergaya kognitif field-independent (SFI). Data penelitian ini dikumpulkan melalui pemberian tugas pemecahan masalah pemrograman linear dan wawancara semi-terstruktur berbasis tugas. Proses analisis jawaban siswa dalam pemecahan masalah pemrograman linear berdasarkan indikator semiotika yang meliputi simbol, kode, dan makna serta tahapan pemecahan masalah Polya. Hasil analisis data menunjukkan bahwa semiotika yang dilakukan kedua siswa operasional formal dengan gaya kognitif berbeda ini dalam memecahkan masalah pemrograman linear belum menciptakan informasi yang bermakna karena pada penggunaan simbol, pembuatan kode, dan pembuatan makna tidak dilakukan secara lengkap.

2017 ◽  
Vol 13 (1) ◽  
pp. 55-68
Author(s):  
Agung Purwanto

The objective of the research was aimed at finding out whether there is effect of the environmental education learning package and cognitive style on environmental problem solving skills. This research conducted was exsperiment methode. The target of population is the students at the Mathematics and Natural Sciences at the State University of Jakarta. Then accessible of population is Department of Chemistry and take it by randomly (n=40).The research came five conclusions are follow: the first, as a whole the ability of students problem-solving learning environment in an integrated package of environmental education is high than the monolithic environmental education learning package; the second, the ability of students problem-solving learning environment in field independent style cognitive is not high than the field dependent style cognitive; the third, interaction effect between learning and cognitive styles environmental education package; the fourth, the ability of students to solve environmental problems based on cognitive style of field dependent on an integrated learning package environmental education lower than on learning environmental education monolithic package, and the five, there is the ability of students to solve environmental problems based on field independent cognitive styles in an integrated learning package environmental education is high than on learning environmental education monolithic package.


2022 ◽  
Vol 14 (1) ◽  
pp. 0-0

In this paper, a two-stage method has been proposed for solving Fuzzy Multi-objective Linear Programming Problem (FMOLPP) with Interval Type-2 Triangular Fuzzy Numbers (IT2TFNs) as its coefficients. In the first stage of problem solving, the imprecise nature of the problem has been handled. All technological coefficients given by IT2TFNs are first converted to a closed interval and then the objectives are made crisp by reducing a closed interval into a crisp number and constraints are made crisp by using the concept of acceptability index. The amount by which a specific constraint can be relaxed is decided by the decision maker and thus the problem reduces to a crisp multi-objective linear programming problem (MOLPP). In the second stage of problem solving, the multi-objective nature of the problem is handled by using fuzzy mathematical programming approach. In order to explain the methodology, two numerical examples of the proposed methodology in Production planning and Diet planning problems have also been worked out in this paper.


Author(s):  
Rina Apriyani ◽  
Ibrahim

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.


2021 ◽  
Vol 1 (1) ◽  
pp. 51
Author(s):  
Mochamad Jazim ◽  
Dinawati Trapsilasiwi ◽  
Randi Pratama Murtikusuma ◽  
Arifiatun Arifiatun

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


2018 ◽  
Vol 6 (1) ◽  
pp. 1
Author(s):  
Dewi Kristika Findia Ning Tyas

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


2021 ◽  
Vol 58 (2) ◽  
pp. 841-848
Author(s):  
Agus Setiawan Et al.

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.


Factor M ◽  
2019 ◽  
Vol 1 (2) ◽  
Author(s):  
Eka Resti Wulan

The aim of this research is to describe junior high school students’ problem solving profile in the Pythagoras Theorem problem based on the cognitive styles of FI and FD. The subjects of this research consisting of two subjects FI and two subjects FD in VIII H SMP Negeri 2 Lumajang. Instruments used: cognitive style tests (GEFT), Pythagoras Theorem problem solving tests, and interview guideline. Problem-solving indicators that be used is Polya's problem solving steps: understanding the problem, devise a plan, carry out the plan, and looking back. The results of this study is the FI subject is better than the FD subject. The FI subject understand the problem very well, arranging a solution plan well, implementing a plan properly, and looking back well. Different from previous research, subject FI make error even though not any Polya’s step. Nevertheless, The FD subjects are categorized as lacking in the step of understanding the problem, devising a plan with deficient category, implementing the plan without looking back on the solution, so it is categorized as lacking and errors emerged at almost every step. Some errors in problem solving showed by FI and FD subjects, so for further research need to analyses errors and the other cognitive style.


MATHEdunesa ◽  
2020 ◽  
Vol 9 (1) ◽  
pp. 185-193
Author(s):  
Rohmatus Tsaniyah

Statistical thinking is a mental activity that occurs from the process of identifying statistical information to the process of making decisions or drawing conclusions that are interconnected. One that can effect individual statistical thinking profiles is cognitive style. The purpose of this research is to describe the statistical thinking profile of Field Independent and Field Dependent high school student in solving problems. This research is a descriptive study with a qualitative approach. The instruments of this research are the researcher as the main instrument and cognitive style test, mathematics ability test, and interview guidelines as the supporting instruments. Research subjects are one of FI student and one of FD student with an equivalent level of high mathematical ability. The results of this study indicate differences in the profile of FI student an FD student statistical thinking. In evaluating the effectiveness of the data display, FI student can provide analytical argument about the presentation of data display that more effectively used and FD student provide answers for the presentation of effective data displays based on what is seen from the question. In describing the results of the available problems and making conclusions from the results that have been obtained, FI student describes the solutions in more detail accompanied by the arguments also provide conclusions related to the existing problems and FD student briefly describes the solutions and provide general conclusions and have not been linked to the existing problems. Because of the statistical ability of two subjects is defferent, teacher should pay attention to the statistical concepts and train students on solving statistical problems by any solutions. Keywords : Statistical thinking profile, problem solving, Field Independent, Field Dependent


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