scholarly journals Students' Analogical Reasoning in Solving Trigonometric Problems in Terms of Cognitive Style: A Case Study

2021 ◽  
Vol 3 (1) ◽  
pp. 71
Author(s):  
Ummah Qurrotul Azizah ◽  
Ekawati Rooselyna ◽  
Masriyah Masriyah
Keyword(s):  
Problem Solving ◽  
Cognitive Style ◽  
Analogical Reasoning ◽  
Cognitive Styles ◽  
Math Ability ◽  
Detailed Explanation ◽  
Learning Mathematics ◽  
Ability Tests ◽  
Apply Problem

This article discusses the analogical reasoning of students' types in solving trigonometric problems based on cognitive styles. This research was conducted at MAN I Probolinggo, eighteen students was asked to complete cognitive style tests and math ability tests. It was found that students' answers can be grouped into two types of cognitive styles, namely systematic and intuitive. From each group, one student was taken to be interviewed with the aim of getting a more detailed explanation of each type of analogical reasoning. The results show that the two types can be explained as follows, first, the type of systematic cognitive style, students can understand the problem given, mention in detail all the information that is known and asked, use all known information about the problem, read and understand the problem, map the structure relational problems, applying a structured way to solve problems that have been planned in advance. In the intuitive cognitive style type, students can understand the problem only by reading the problem once, mention some information that is known about the problem, use the information that is known in the problem, read and understand the problem, apply problem-solving methods. pre-planned but unstructured. Therefore, teachers must encourage and enable students to use analogical reasoning optimally in learning mathematics.

Successful Careers and Cognitive Style: A Follow-up Study of Childhood Family Discontinuity

1991 ◽  
Vol 69 (3_suppl) ◽  
pp. 1071-1074
Author(s):  
Virginia Z. Gordon
Keyword(s):  
Problem Solving ◽  
Cognitive Style ◽  
Career Path ◽  
Cognitive Styles ◽  
Original Research ◽  
Original Sample ◽  
Follow Up Study ◽  
Successful Career ◽  
Problem Solving Style

It was predicted that those participants who experienced discontinuity (death, divorce, and separations) from their parent(s) in childhood and who had successful careers in adulthood would manifest more innovative than adaptive cognitive styles on the Kirton Adaption-Innovation Inventory. The original research showed 61% of the sample members ( n = 41) experienced family discontinuity. Ninety percent ( n = 37) of the previous participants responded and showed 59% family discontinuity. Fifty-four percent in the follow-up study chose an alternative career path (counterstriving), the same percentage as in the original sample. When both family discontinuity and counterstriving were present, statistically significant innovation scores occurred. Family discontinuity in childhood and a successful career in adulthood are likely to be associated with high striving-motivation and an innovative (paradigm-breaking) problem-solving style.

scholarly journals PENGARUH PAKET PEMBELAJARAN PENDIDIKAN LINGKUNGAN HIDUP DAN GAYA KOGNITIF TERHADAP KEMAMPUAN MEMECAHKAN MASALAH LINGKUNGAN (Studi Eksperimen pada Jurusan Kimia, FMIPA Universitas Negeri Jakarta)

2017 ◽  
Vol 13 (1) ◽  
pp. 55-68
Author(s):  
Agung Purwanto
Keyword(s):  
Problem Solving ◽  
Environmental Education ◽  
Learning Environment ◽  
Cognitive Style ◽  
Cognitive Styles ◽  
Environmental Problems ◽  
Integrated Learning ◽  
Problem Solving Skills ◽  
Field Independent ◽  
Field Dependent

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.

scholarly journals Collaborating With Style: Using an Agent-Based Model to Simulate Cognitive Style Diversity in Problem Solving Teams

2019 ◽  
Author(s):  
Samuel Lapp ◽  
Kathryn Jablokow ◽  
Christopher McComb
Keyword(s):  
Problem Solving ◽  
Cognitive Style ◽  
Cognitive Styles ◽  
Collaborative Problem Solving ◽  
Design Problems ◽  
Team Members ◽  
Agent Based ◽  
Collaborative Problem ◽  
Problem Solving Teams ◽  
Problem Solving Behavior

Abstract Collaborative problem solving can be successful or counterproductive. The performance of collaborative teams depends not only on team members’ abilities, but also on their cognitive styles. Cognitive style measures differences in problem-solving behavior: how people generate solutions, manage structure, and interact. While teamwork and problem solving have been studied separately, their interactions are less understood. This paper introduces the KAI Agent-Based Organizational Optimization Model (KABOOM), the first model to simulate cognitive style in collaborative problem solving. KABOOM simulates the performance of teams of agents with heterogeneous cognitive styles on two contextualized design problems. Results demonstrate that, depending on the problem, certain cognitive styles may be more effective than others. Also, intentionally aligning agents’ cognitive styles with their roles can improve team performance. These experiments demonstrate that KABOOM is a useful tool for studying the effects of cognitive style on collaborative problem solving.

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

Akademika ◽  
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 )

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

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.

scholarly journals DEAF STUDENT AND MENTAL ACT IN MATHEMATICS PROBLEM SOLVING

2020 ◽  
Vol 2 (1) ◽  
pp. 100-110
Author(s):  
La Ode Amril ◽  
Darhim ◽  
Dadang Juandi
Keyword(s):  
Problem Solving ◽  
Solution Method ◽  
Deaf Students ◽  
Special Schools ◽  
Design Data ◽  
Mathematics Problem Solving ◽  
Learning Mathematics ◽  
Mathematical Problems ◽  
Mathematics Problem

Mathematics has an important role in the cognitive development of deaf students. Through learning mathematics in schools, deaf students will explore and build knowledge, because literally mathematics is the parent of knowledge and human activities. One important aspect in learning mathematics is the ability to solve problems. Problem solving means engaging in a task for which the solution method is not known in advance. In order to find a solution, students must draw on their knowledge, and through this process, they will often develop new mathematical understandings.This study aims to analyze the mental act of deaf students in solving mathematical problems in fraction material. Respondents of 20 students were randomly selected from 3 special schools. This type of research is qualitative with a case study design. Data was collected through the instrument of problem solving abilities, interviews, and observations. Data were analyzed using grouded theory. The results of this study indicate that the mental act used by deaf students in solving mathematical problems is interpreting, explaining, inferring, and problem solving.

scholarly journals ALGEBRA PROBLEM SOLVING ABILITY BASED ON SOLO TAXONOMY ASSESSED FROM COGNITIVE STYLE

2021 ◽  
Vol 12 (2) ◽  
pp. 148
Author(s):  
Arie Purwa Kusuma ◽  
S B Waluya ◽  
Rochmad Rochmad ◽  
S Mariani
Keyword(s):  
Problem Solving ◽  
Cognitive Style ◽  
Cognitive Styles ◽  
Sampling Technique ◽  
Research Subjects ◽  
Solo Taxonomy ◽  
Abstract Level ◽  
The Relationship ◽  
Matching Familiar Figures Test ◽  
Student Problem

Algebra is a branch of mathematics that uses mathematical statements to describe the relationship between various things. This study aims to describe the algebra problem solving abilities of students in the Linear Program course. There are differences in student problem solving, which are caused by students' cognitive styles. Reflective and impulsive cognitive styles based on the SOLO taxonomy. This research method is descriptive qualitative. The research was conducted at STKIP Kusuma Negara Jakarta. The research subjects consisted of 4 students, 2 students having a reflective cognitive style and 2 students having an impulsive style. Purposive sampling technique was used in taking the subjects.Data collection techniques used cognitive style test questions Matching Familiar Figures Test (MFFT), algebra problem solving test questions and interview guidelines. Data collection techniques used two techniques, namely written tests and interviews. Technical analysis of data by reducing data, presenting data, and drawing conclusions. From the data processing, the results of the research were 2 students whose have flexible cognitive style also have good algebra problem solving abilities and based on SOLO taxonomy reached the Extended abstract level. Meanwhile, students who have an impulsive cognitive style in solving algebra problems based more on the SOLO taxonomy have Multistructural and Unistructural levels. So each cognitive style of students gives the different results in solving problems.

scholarly journals Pemecahan Masalah Matematika Siswa Al-Fityan School Gowa ditinjau dari Gender

2020 ◽  
Vol 12 (2) ◽  
pp. 38-48
Author(s):  
Andi Aras ◽  
Sartika Arifin ◽  
Fawziah Zahrawati B
Keyword(s):  
Problem Solving ◽  
Mathematical Problem ◽  
Female Students ◽  
Male Students ◽  
Mathematical Problem Solving ◽  
Research Subjects ◽  
Learning Mathematics ◽  
Ability Tests ◽  
Level Of Thinking ◽  
Academic Year

Problem solving is the highest level of thinking which students need in learning mathematics. This study aims to describe students' mathematical problem solving abilities in terms of gender’s perspective. The research subjects consisted of four students of Class X at SMAIT Al-Fityan School Gowa in the 2018/2019 academic year, consisting of two male students and two female students. The research phase begins with the selection of research subjects determined based on equivalent problem solving ability tests. After selecting the subject, the next phase is giving assignment problem solving, quadratic equations, and interviews. The validity of the data is done by using triangulation of sources by twice interviews, giving tests to students who are different but have the same ability and the same sex in order to produce consistent data. The results showed that female students had better mathematical problem-solving abilities compared to male students based on Polya Steps: 1) understanding the problem, 2) planning the solution, 3) solving the problem, and 4) looking back at the answers.

scholarly journals MENUMBUHKAN KEMAMPUAN PEMECAHAN MASALAH MATEMATIKA SISWA MELALUI MODEL BELAJAR PBL BERBASIS RICH TASK MATEMATIKA

Numeracy ◽  
2020 ◽  
Vol 7 (1) ◽  
pp. 20-34
Author(s):  
Fitriati Fitriati ◽  
Marlaini Marlaini
Keyword(s):  
Problem Solving ◽  
Mathematics Teachers ◽  
Mathematics Instruction ◽  
Junior High Schools ◽  
Mathematical Tasks ◽  
Problem Solving Skills ◽  
Learning Mathematics ◽  
Banda Aceh ◽  
Rich Tasks

Problem solving skills are essential skill for students to live in a challenging world. Teachers are required to carry out the mathematics instruction that could train these skills. One of the learning models that can be used is problem based learning (PBL) with rich mathematical tasks. Therefore, the purpose of this study is to apply the PBL-based Rich Tasks model to develop students' problem solving skills. This study used one-shot case study experimental design involving 21 grade 9 students from one of the junior high schools in Banda Aceh. The results showed that PBL with Rich Mathematical Tasks was able to develop students' problem solving skills with an average achievement before treatment (pre-test) equal to 2.92 which then improve after treatments given with the score equal to  70.82. In addition, the score of each of the end lesson tests also risen   with  62.14 for PB1 and  67.75 for PB2. This improvement was gained because the PBL with rich tasks approach has the potentials to facilitate student learning mathematics. Teachers are advised to use the PBL with rich tasks approach continuously in the daily mathematics instruction, so that students’ problem solving skills can be  improved in the future. Abstrak Keterampilan pemecahan masalah merupakan skil penting yang harus dimiliki peserta didik agar dapat hidup bertahan dalam dunia yang penuh dengan tantangan. Untuk itu guru dituntut agar mampu melaksanakan proses pembelajaran matematika yang dapat melatih keterampilan tersebut. Salah satu model pembelajaran yang dapat digunakan adalah model belajar PBL berbasis Rich Tasks Matematika. Oleh karena itu tujuan penelitian ini adalah untuk menerapkan model PBL berbasis Rich Tasks untuk menumbuhkembangkan keterampilan pemecahan masalah siswa. Penelitian ini menggunakan desain eksperimen one-shot case study yang melibatkan 21 siswa kelas IX dari salah satu sekolah menengah pertama di Banda Aceh. Hasil penelitian menunjukkan bahwa PBL berbasis Rich Tasks mampu mengembangkan keterampilan pemecahan masalah siswa, dengan rata-rata nilai tes awal sebesar 2.92  yang meningkat pada tes akhir dengan nilai rata-rata sebesar 70.82. Begitu juga dengan nilai tes matematika di akhir setiap pertemuan  terus meningkat yaitu 62,14 (P1) dan 67.75 (PB2). Hal ini disebabkan karena model PBL berbasis rich tasks sangat potensial dalam memfasilitasi siswa belajar. Guru disarankan untuk terus dapat menggunakan rich tasks secara kontinue dalam proses pembelajaran matematika sehari-hari, sehingga keterampilan pemecahan masalah siswa dapat ditingkatkan dimasa yang akan datang.   Kata Kunci: Rich Tasks, PBL, Keterampilan Pemecahan Masalah, Pembelajaran Matematika

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