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

Author(s):  
Ardi Dwi Susandi ◽  
Santi Widyawati

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.

Author(s):  
Econ Kabiran ◽  
Theresia Laurens ◽  
Johannis Takaria

This study aims to describe the thinking process of students in solving mathematical problems of triangular and quadrilateral material in terms of cognitive style. The thinking process in this study is the steps taken by students involving mental activities in solving problems related to problem solving. The process of thinking in this study there are three kinds, namely conceptual thinking, semi-conceptual thinking and computational thinking. This research is a qualitative descriptive study. The subjects in this study were grade VII students consisting of four students with details of each two students from the Field Independent (FI) cognitive style and two students from the Field Dependent cognitive style (FD). Data collection techniques used in this study were mathematical tests and interviews. Data on the results of mathematical tests and interviews were analyzed based on indicators suitable with the conceptual thinking process, semi-conceptual thinking process and computational thinking process. From the results of data analysis, it was found that the students' thinking processes in solving mathematical story problems in the Field Independent group is the conceptual and semi-conceptual thinking processes. And students' thinking processes in solving mathematical story problems in the Field Dependent group tend to be semi-conceptual and computational thinking processes.


2020 ◽  
Vol 10 (2) ◽  
pp. 271
Author(s):  
Syamsul Arifin ◽  
Punadji Setyosari ◽  
Cholis Sa’dijah ◽  
Dedi Kuswandi

The purpose of this research is to compare the effectiveness of learning models to develop student critical thinking skills and retention in mathematics through the application of Problem Based Learning (PBL) models and multimedia assisted Direct Instruction (DI) models for students who have different cognitive styles. This research is quasi-experimental type, using non-equivalent control group design. Subject of this research are students in three different senior high school with two class samples in each school. There are 102 students of control class with Direct Instruction learning model by multimedia and 97 students of experiment class with Problem Based Learning model. The instrument of this research are test and questionnaires. The findings of this research are that there are significant differences in student critical thinking skills and retention between groups of student with Field Dependent (FD) and Field Independent (FI) cognitive styles and also between group of student with Direct Instruction model and Problem Based Learning model. Each learning model has interaction with critical thinking skills but not student retention. This research is useful for educators to develop students critical thinking skills processes with an effective learning model approach especially for senior high school students. The educators can know the interaction of cognitive styles with student retention, the extent to which cognitive styles are able to have an impact on student retention. This research provides knowledge an effective learning model to develop critical thinking skills and retention of student both Field Dependent and Field Independent cognitive style. Based on cognitive style, Field Independent students have higher retention and critical thinking skills compared to Field Dependent students.


2021 ◽  
Vol 8 (1) ◽  
pp. 75-89
Author(s):  
Muthmainnah Muthmainnah ◽  
Marwan Ramli ◽  
M Ikhsan

One of thinking concepts which connects real life to mathematics is called metaphorical thinking. Metaphor and modelling are two closely related concepts. Besides, each individual performs different cognitive styles, such as field independent (FI) and field dependent (FD) cognitive styles. This factor possibly leads to different metaphorical thinking in solving algebraic problems. The participants of this qualitative research consist of two students at grade 7 of one of junior high school in Banda Aceh, Indonesia, with FI and FD as their cognitive styles. Based on the findings, it is found that: 1) Metaphorical thinking of the student with FI cognitive style in solving the algebraic problem in the stage of understanding the problem, devising a plan, carrying out the plan, and looking back is considered to achieve the target for each criteria of CREATE; 2) Metaphorical thinking of the student with FD cognitive style in solving the problem in the all four stages but could not reveal all criteria mentioned in CREATE. This happens as the student is unable to find the appropriate metaphor to the algebraic problem. Therefore, the student does not need to explain the suitability of the metaphor to the algebraic problem.


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.


Author(s):  
Dian Fitri Argarini ◽  
Budiyono Budiyono ◽  
Imam Sujadi

<p><strong>Abstract:</strong> The research objectives were to determine and to describe creative thinking characteristic of 7<sup>th</sup> grade students of SMP N 1 Kragan in solving and proposing problem at comparative case seen from the cognitive style. This research belonged to descriptive research by qualitative-explorative approach. The sample was taken by purposive sampling technique. The subjects being used in this research were 4, those were 2 students with field dependent cognitive style and 2 students with field independent cognitive style. The subject grouping based on cognitive style was taken by group embedded figures test. There were two instruments that were used to collect the data of this research. The first instrument was solving and proposing problem test instrument. The second was interview guidance. They were validated by using the time triangulation test and the reference fulfillment. The data were analyzed using a Miles and Huberman’s concept, that was data reduction, presentation, and conclusion.. The results of this research show as follows, (1) Creative thinking characteristics of students who had field dependent cognitive style in solving and proposing problem were as follows. The fluency aspect was shown by the students through 4 stages of creative thinking process, both in solving and proposing the problem. The four stages were preparation stage, incubation stage, illumination stage, and verification stage. The flexibility aspect in solving problems appeared when the students gave the other alternative answer, whereas this aspect was not fulfilled in proposing the problems.  The originality aspect was not fulfilled in solving and proposing problems. (2) Creative thinking characteristics of students who had field independent cognitive style in solving and proposing problem were as follows. The fluency aspect was shown by the students through 4 stages of creative thinking process, both in solving and proposing the problem. The four stages were preparation stage, incubation stage, illumination stage, and verification stage. The flexibility aspect in solving problems was shown when the students gave the other alternative answer, while in proposing the problem this aspect was not completed because students were able to make only one question. The originality aspect in solving the problem could be seen when the students gave a new way solution and this  was different from the previous one. Meanwhile in proposing the problems, aspet of originality was not fulfilled.</p><p><strong>Keywords</strong>:   creative thinking characteristics, solving  problems, proposing problems, cognitive style</p>


2019 ◽  
Author(s):  
YL Sukestiyarno and Mellawaty .

This research is a descriptive qualitative research which aims to describe the mathematical literacy skills of the material of cubes and beams of class VIII A students at MTsN 2 Indramayu that it be seen in terms of cognitive styles of dependent fields and independent fields. Data will be whereas to describe the ability of mathematical literacy using observation; interview test; documentation. Data from this study were analyzed using Miles and Huberman (2007) data analysis which consisted of data reduction,datapresentation,andconclusiondrawing.Theresultsofthisstudyindicate that students in the Field Dependent cognitive style use the concept and the steps of the test work are still not appropriate. While students in Field Independent cognitive style use the right concepts and work steps. The advice given is that the teacher should provide balanced proportions in giving individual and group assignments to students (more conical).


1983 ◽  
Vol 56 (3) ◽  
pp. 859-863 ◽  
Author(s):  
Dayo Adejumo

The effect of cognitive style on the performance of four groups who used different strategies of study to comprehend prose was investigated. Performance on Group Embedded Figures Test was used to classify subjects into groups by cognitive style. 201 field-dependent and 125 field-independent subjects enrolled in an introductory course in psychology were subjects. Field-independent subjects performed significantly better overall. In particular, field-independent subjects in the control group and the groups given factual and inferential questions as study aids performed better than the field-dependent subjects on the inferential items at posttest. On the factual items at posttest, field-independent subjects performed significantly better only in the group who were given inferential questions as an adjunct. The cognitive styles of the subjects interacted with the strategies of study and seem to affect performance on comprehension of prose at posttest.


2019 ◽  
Vol 12 (2) ◽  
pp. 94-108
Author(s):  
Wirani Sumekar ◽  
Farida Nurhasanah ◽  
Sutopo Sutopo

[English]: This study was aimed to describe the abstraction process of students with different cognitive styles in learning common tangent lines of two circles using recognizing, building-with, and construction (RBC) model. This qualitative research collected data through questionnaires, written tests, and task-based interviews. Eight students with field-dependent and field-independent were involved as the subjects. The interview transcripts were analyzed and grouped into cognitive actions of the RBC model. Findings showed that to reach the stage of construction activities, field-dependent students tend to need guidance and more time in recognizing and constructing the concept of a common tangent of two circles using their prior knowledge. Meanwhile, field-independent students tend to directly recognize and construct the concept using their prior knowledge so that they successfully constructed the concept of common tangent lines of two circles. This study shows that (1) field-dependent students use their prior knowledge that relates to the concept of common tangent lines of two circles less than field-independent students who tend to be able to use most of their prior knowledge relevant to the concept of common tangent lines of two circles, and (2) students who has similar cognitive style may not show the same success in abstraction process. Keywords: Abstraction, Circles, Common tangent line, Cognitive style, RBC Model [Bahasa]: Penelitian kualitatif ini bertujuan untuk mendeskripsikan abstraksi siswa SMP dengan gaya kognitif berbeda dalam mempelajari garis singgung pada dua lingkaran yang dianalisis menggunakan model RBC (Recognizing, Building-with, Construction). Data penelitian dikumpulkan melalui angket, tes tertulis, dan wawancara berbasis tugas. Delapan siswa dengan gaya kognitif field-dependent dan field-independent dipilih sebagai subjek penelitian. Data penelitian dianalisis berdasarkan rekaman wawancara yang sudah ditranskrip dan dikelompokkan berdasarkan tindakan kognitif model RBC. Hasil penelitian menunjukkan bahwa siswa field-dependent cenderung memerlukan petunjuk dan waktu lebih lama untuk mengenali dan membangun konsep garis singgung pada dua lingkaran melalui pengetahuan terdahulu hingga sampai pada aktivitas konstruksi. Sementara siswa field-independent cenderung langsung mengenali dan membangun konsep garis singgung pada dua lingkaran melalui pengetahuan terdahulu sehingga berhasil mengkonstruksi konsep garis singgung pada dua lingkaran. Penelitian ini menunjukkan bahwa (1) siswa field-dependent lebih sedikit menggunakan pengetahuan terdahulu yang berkaitan dengan konsep garis singgung dua lingkaran daripada siswa field-independent yang cenderung dapat melihat sebagian besar pengetahuan lama yang relevan dengan konsep garis singgung dua lingkaran, (2) siswa dengan gaya kognitif yang sama belum tentu menunjukkan keberhasilan yang sama pada proses abstraksi. Kata kunci: Abstraksi, Dua lingkaran, Garis singgung, Gaya kognitif, Model RBC  


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


Author(s):  
Risa Mariana ◽  
Siti Khabibah ◽  
Siti Maghfirotun Amin

Number sense can vary from person to person, number sense variations can be caused by learning experiences of mathematics, mathematical abilities, and cognitive styles. This research is a qualitative descriptive study that aims to determine the number sense profile of grade V SD students in terms of the field-dependent and field-independent cognitive styles on fraction material. So the research begins by giving a math ability test, cognitive style test, and number sense test. The subjects of this study were fifth-grade students of SDN Ngagel Rejo V Surabaya with field-dependent and field-independent styles with equivalent math abilities. Data collection was continued with the number sense test, and interviews and checks using time triangulation. The results showed that students with a field-independent cognitive style tended to use logical reasoning and actively processed information and were able to simplify complex problems well. They also have a high of number sense so that they can answer and describe answers based on their analytical skills. For example, when comparing the concept of numbers, they can show that there is another fraction or decimal between two fractions or decimals. Whereas students in the field-dependent cognitive style only compare the values of the two fractions or decimals, which means they have difficulty separating and distinguishing objects. simple of complex objects. They also tend to do conventional learning such as doing multiplication using a pencil and writing on paper and cannot analyze a thing or question with an estimate or approach. Therefore, students' cognitive styles must be learned and aligned with existing teaching strategies in several schools. Teaching adjustments that are in line with students' cognitive styles are needed to improve student performance.


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