scholarly journals Metaphorical Thinking of Students in Solving Algebraic Problems based on Their Cognitive Styles

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.

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.


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.


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.


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.


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.


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  


2019 ◽  
Vol 6 (1) ◽  
pp. 85
Author(s):  
Yohana Eka Kusuma Dewi ◽  
Sutriyono , ◽  
Fika Widya Pratama

The purposes of this research is elaborating the capability of thinking critically FRISCO (Focus, Reason, Inference, Situation, Clarity and Overview) in solving problem based on Polya stage (Research is underdtanding the problems, Creating the plan, Implementing the plan and Reviewing), as reviewd by cognitive style of Field Dependent (FD) and Field Independent (FI). It is such a kind of qualitative descriptive and purposive technical sampling research used in this thesis, after some experiments the author found 1 particular subject in each style wether it from Field Dependent (FD) style of Field Independent (FI) style which was taken from Christian 2 junior high school Salatiga. Based on the research, FD subject incapable of implementing Polya stage, while FI subject capable of implementing Polya stage. Based on those four stages: FD is lack of capabillities compliying the criteria of FRISCO, while FI subject meets the requirements of FRISCO.


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.


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.


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