An AN ANALYSIS OF MATHEMATICAL REASONING ABILITY IN PROBLEM SOLVING WORD PROBLEM BASED ON GENDER AT UNIVERSITAS MUHAMMADIYAH LAMONGAN

This study aims to describe and analyze the mathematical reasoning and problem solving abilities of PGSD students, Universitas Muhammadiyah Lamongan, based on the gender in resolving story problems. This research is a qualitative descriptive research. The research subjects were 6 PGSD students of Universitas Muhammadiyah Lamongan who were selected based on the criteria of academic abilities; students with high reasoning, moderate reasoning, and low reasoning. The data collection techniques were observation, test, and interview. The data analysis was based on the results of test, observation, and interview obtained by students and based on table rubrics. Data analysis was carried out by the researcher using 6 subjects as representatives consisting of 3 males and 3 females with criteria previously mentioned (high, moderate, low). The results of data analysis on mathematical reasoning and problem solving abilities based on gender were female students' mathematical reasoning abilities were superior than male students' mathematical reasoning abilities. Keywords: Mathematical Reasoning, Problem Solving, Gender

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PROFIL PENALARAN MATEMATIS SISWA SMP DALAM PEMECAHAN MASALAH ARITMETIKA SOSIAL BERDASARKAN KEMAMPUAN MATEMATIKA

MATHEdunesa ◽

10.26740/mathedunesa.v10n1.p110-120 ◽

2021 ◽

Vol 10 (1) ◽

pp. 110-120

Author(s):

YULIANA DWI RAHMAWATI ◽

Masriyah Masriyah

Keyword(s):

Problem Solving ◽

Qualitative Data ◽

Mathematical Reasoning ◽

Research Subjects ◽

Ability Test ◽

Reasoning Abilities ◽

Mathematical Abilities ◽

Reasoning Problem ◽

Mathematical Problems ◽

Problem Solving Strategies

Mathematical reasoning is the ability to think about mathematical problems, namely by thinking logically about mathematical problems to get conclusions about problem solutions. There are several factors that can affect students' mathematical reasoning, including mathematical abilities. Dissimilarity of students' mathematical abilities allows for dissimilarity in their mathematical reasoning abilities. So, this research intends to describe students' mathematical reasoning abilities in solving social arithmetic problems based on dissimilarity in mathematical abilities. The purpose of this research was to describe qualitative data about the mathematical reasoning abilities of students with high, medium, or low abilities in solving social arithmetic problems. The instrument used was the Mathematical Ability Test to determine the three research subjects, followed by a Problem Solving Test to get qualitative data about students' mathematical reasoning abilities, then interviews to get deeper data that was not obtained through written tests. Thus, the research data were analyzed using mathematical reasoning indicators. From the result of data analysis, it was found that all students understood the problem well. Students with high and medium mathematical abilities are determining and implementing problem solving strategies properly, namely writing down the step for solving them correctly and making accurate conclusions by giving logical argumens at aech step of the solution. However, students with low mathematical abillities have difficulty in determining and implementing problem solving strategies because they do not understand the concept, thus writing the steps to solve the problems incorrectly and not giving accurate conclusions about the correctness of the solution. Keywords: mathematical reasoning, problem solving, mathematical abilities

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Analysis of Students Mathematical Reasoning Abilities on Number Topics

Psychology and Education Journal ◽

10.17762/pae.v58i1.1634 ◽

2021 ◽

Vol 58 (1) ◽

pp. 4750-4755

Author(s):

Ishaq Nuriadin Et al.

Keyword(s):

High School Students ◽

Junior High School ◽

Mathematical Reasoning ◽

Male Students ◽

Multiple Choice Questions ◽

Research Subjects ◽

School Students ◽

Reasoning Abilities ◽

Qualitative Descriptive ◽

Math Problems

Mathematical reasoning skills are critical for students to solve math problems. The research objective was to determine the reasoning ability of junior high school students in solving number problems. This research is a qualitative descriptive study with case studies. The research subjects were 27 students consisting of 14 female students and 13 male students. A total of 10 questions were tested containing five multiple-choice questions, and five description questions. From the results of data analysis, 3% of students had high reasoning abilities, 43% of students had moderate reasoning abilities, 30% of students had low reasoning abilities, 13% of students had meagre reasoning abilities.

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ANALISIS KEMAMPUAN PENALARAN MATEMATIS SISWA DALAM MENYELESAIKAN SOAL SETARA PISA KONTEN GEOMETRI

Numeracy ◽

10.46244/numeracy.v7i2.1167 ◽

2020 ◽

Vol 7 (2) ◽

Author(s):

Orin Asdarina ◽

Masriyah Ridha

Keyword(s):

Data Analysis ◽

Problem Solving ◽

Data Collection ◽

Research Design ◽

Mathematical Reasoning ◽

Reasoning Abilities ◽

Descriptive Research ◽

Class Viii ◽

High Level

The purpose of this study was to determine students’ mathematical reasoning abilities in solving PISA equivalent geometry content problems at the class VIII of SMP Negeri Unggul Tunas Nusa and these factors can influence students’ mathematical reasoning abilities in solving equivalent questions of PISA geometry content grade VIII of SMP Negeri Unggul Tunas Nusa. The research design used in this study was descriptive research. The subjects in this study were 30 students from grade VIII- SMP Negeri Unggul Tunas Nusa. Data collection was obtained through the distributing of tests and interviews. From the results of the data analysis, it was concluded that the mathematical reasoning students’ ability in Solving on geometry content problems in grade VIII of SMP Negeri Unggul Tunas Nusa was in the very low category. The ability of students’ on mathematical reasoning at the indicator I was 21.56%, indicator II was 33.49%, indicator III was 16.11%, and indicator IV was 15.56%. The cause of the obstacles faced by students in solving geometry content material problems is that students were not accustomed to solving non-routine questions, a little bit complicated, and require a high level of problem solving as the questions given to students were equivalent to PISA problems, the ability of students to mastery of the material is limited and cannot suitable to the concepts that have been studied with the problem being worked on. Abstrak Tujuan dari penelitian ini adalah untuk mengetahui kemampuan penalaran matematis siswa dalam menyelesaikan soal setara PISA konten geometri di kelas VIII SMP Negeri Unggul Tunas Nusa dan faktor-faktor yang mempengaruhi kemampuan penalaran matematis siswa dalam menyelesaikan soal setara PISA konten geometri kelas VIII SMP Negeri Unggul Tunas Nusa. Rancangan penelitian yang digunakan dalam penelitian ini merupakan penelitian deskriptif. Subjek dalam penelitian ini adalah 30 siswa dari kelas VIII-Nusa SMP Negeri Unggul Tunas Nusa. Pengumpulan data diperoleh melalui pemberian tes dan wawancara. Dari hasil analisis data, diperoleh kesimpulan bahwa kemampuan penalaran matematis siswa dalam mengerjakan soal konten geometri kelas VIII Nusa SMP Negeri Unggul Tunas Nusa berada dalam kategori sangat rendah. Kemampuan penalaran matematis siswa pada indikator I sebesar 21,56%, pada indikator II sebesar 33,49%, pada indikator III sebesar 16,11%, dan indikator IV sebesar 15,56%. Penyebab dari kendala yang dihadapi siswa dalam menyelesaikan soal materi konten geometri adalah siswa tidak terbiasa menyelesaikan soal-soal nonrutin, sedikit rumit, serta memerlukan tingkat pemecahan masalah yang tinggi seperti soal yang diberikan kepada siswa adalah soal setara PISA, kemampuan siswa dalam menguasai materi yang terbatas dan siswa tidak mampu mengaitkan konsep yang telah lama dipelajari dengan soal yang sedang dikerjakan. Kata Kunci : Kemampuan Penalaran Matematis, PISA

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Profil Pemahaman Konsep Siswa SMA dalam Menyelesaikan Masalah Program Linear Berdasarkan Perbedaan Gender

Jurnal Edukasi Matematika dan Sains ◽

10.25273/jems.v8i2.7606 ◽

2020 ◽

Vol 8 (2) ◽

pp. 173

Author(s):

Yeny Kurmayningsih ◽

Didik Hermanto ◽

Mety Liesdiani

Keyword(s):

Data Analysis ◽

Problem Solving ◽

Objective Function ◽

Male Student ◽

Male Students ◽

Research Subjects ◽

Analysis Technique ◽

Qualitative Descriptive ◽

Linear Programming Problems ◽

Data Collection Technique

This research is a qualitative descriptive study conducted in class XI. The research subjects consisted of one masculine male student and one feminine female student. The research instrument used a Gender Test, Interview Guidelines and Problem Solving Tasks (TPM). The data collection technique used in this research was the problem solving task-based interview technique. The technique of testing the validity of the data used time triangulation. The data analysis technique used was reduction, presentation, and conclusion. Based on the data analysis that has been done, the following conclusions are obtained. The profile of understanding the concept of masculine male students in solving linear programming problems includes: writing what is known and what is asked which is emphasized by the presence of a question mark "?", Taking x and y without being interpreted on a graph using the two equations to find the points ( x, y), finds the arithmetic error from substituting the points (x, y) that have been determined by yourself to the objective function, and reread the results of the work without recalculation. The profile of understanding the concept of feminine female students in solving linear program problems includes: writing down what is known and what is asked by considering x and y, forming equations using the x and y assumptions and interpreting it into a graph, substituting the points (x, y) has assigned itself to the objective function so that the results of problem solving are obtained, and re-read the results of their work by recalculating.

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ANALISIS KEMAMPUAN PEMECAHAN MASALAH PADA SOAL CERITA MATEMATIKA BERDASARKAN TEORI POLYA DITINJAU DARI ADVERSITY QUOTIENT

Alifmatika: Jurnal Pendidikan dan Pembelajaran Matematika ◽

10.35316/alifmatika.2020.v2i1.105-128 ◽

2020 ◽

Vol 2 (1) ◽

pp. 105-128

Author(s):

Novita Nurul Aini ◽

Mohammad Mukhlis

Keyword(s):

Problem Solving ◽

Data Collection ◽

Mathematical Reasoning ◽

Linear Equations ◽

Learning Goals ◽

Problem Solving Skills ◽

Data Presentation ◽

Validity Test ◽

Descriptive Research ◽

Qualitative Descriptive

One of the studen learning goals mathematics is mathematical reasoning for outcomes training student to solve the problems. One of the problems faced by students is word questions. There are several students responses in dealing with word question which is known as Adversity Quotient. This research aims to describe the students' problem solving skills in system of three-variable linear equations subject based on Polya's theory in terms of Adversity Quotient. This is a qualitative descriptive research with three subjects of students class X IPA 1 SMAN Arjasa Jember, there are one climber student, one camper student and one quitter student. These subjects took purposive sampling with consideration according to the results of questionnaire scores that meet each of the criteria of Adversity Quotient. Data collection techniques used were questionnaires, tests, interviews and observations. The validity test used is technical triangulation. Data analyzed through data condensation, data presentation and conclusion drawing. The results showed that student with the type of climber was able to meet all the indicators of problem solving in the problem of the word questions which included indicators of understanding the problem, planning the solution, carrying out the plan of solving and re-checking. Camper type student met all indicators of problem solving except at the re-checking stage. Quitter type student in completing word questions met the stage of understanding the problem and planning the solution, while the stage of carrying out the plan and re-checking is not fulfilled by the quitter student.

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ANALISIS KEMAMPUAN PEMECAHAN MASALAH BERDASARKAN TEORI KRULIK DAN RUTNICK DALAM MENGERJAKAN SOAL OLIMPIADE OLEH SISWA SMP

Pendekar : Jurnal Pendidikan Berkarakter ◽

10.31764/pendekar.v1i1.267 ◽

2018 ◽

Vol 1 (1) ◽

pp. 42

Author(s):

Trimahesti Trimahesti ◽

Kriswandani Kriswandani ◽

Novisita Ratu

Keyword(s):

Problem Solving ◽

Sampling Technique ◽

Research Subjects ◽

Purposive Sampling ◽

Mathematics Problem Solving ◽

Descriptive Research ◽

Extend Abstract ◽

Qualitative Descriptive ◽

The Subject ◽

Mathematics Problem

Abstrak: Penelitian ini adalah penelitian deskriptif kualitatif, yang bertujuan untuk mengetahui kemampuan pemecahan masalah matematika dalam mengerjakan soal olimpiade SMP bagi siswa kelas IX SMP N 8 Salatiga. Subjek penelitian terdiri dari 4 siswa yang dipilih dengan teknik purposive sampling. Berdasarkan hasil tes dan wawancara diketahui semua subjek tidak memenuhi kelima tahap Krulik & Rudnick pada soal nomor 1. Pada langkah awal tahap membaca dan berfikir (read and think) subjek telah melakukan kesalahan dalam memahami soal/masalah. Sedangkan untuk soal nomor 2 hanya 1 subjek yang tidak mampu melewati tahap kelima pada tahap teori Krulik dan Rudnick yaitu refleksi dan pengembangan (reflect and extend). Abstract: This is a qualitative descriptive research. The purpose of this research is to know the ability of mathematics problem solving in doing Junior High Olympics for students of grade IX SMP N 8 Salatiga. The research subjects consist of 4 students selected by purposive sampling technique. Based on the results of tests and interviews are known that all subjects did not meet the five stages of Krulik & Rudnick in question number 1. In the first step of reading and thinking phase, the subject has made a mistake in understanding the problem. Meanwhile, in question number 2 only 1 subject who is not able to pass the fifth stage at the stage of Krulik and Rudnick theory, that is reflect and extend.

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Profil Berpikir Kreatif Siswa SMP dalam Menyelesaikan Masalah Matematika Kontekstual Berdasarkan Perbedaan Tipe Kepribadian Introvert dan Ekstrovert

Jurnal Edukasi Matematika dan Sains ◽

10.25273/jems.v8i2.7605 ◽

2020 ◽

Vol 8 (2) ◽

pp. 165

Author(s):

Selvia Desi Ekayana ◽

Didik Hermanto ◽

Moh Affaf

Keyword(s):

Data Analysis ◽

Problem Solving ◽

Female Students ◽

Personality Test ◽

Research Subjects ◽

Test Instrument ◽

Qualitative Descriptive ◽

Data Validity ◽

Routine Procedures ◽

Problem Solving Task

This research is a qualitative descriptive study. The research subjects consisted of female students with introverted personality and female students with extrovert personality. The instruments used in this study consisted of a personality test instrument, interview guidelines, and problem solving tasks (TPM). Data collection was carried out by means of contextual problem solving task-based interviews. The data validity test was conducted by means of time triangulation. The data analysis used refers to the 3 flows of data analysis from Milles & Huberman, namely data reduction, data presentation and conclusion drawing. The results of this study can be concluded as follows. Introverted students mentioned all the information contained in the questions correctly in a halting voice, while extrovert students mentioned all the information contained in the questions correctly and smoothly. The two students solved the questions in two ways even though the methods used were routine procedures that were commonly used by students. In re-examining the results obtained, the two students matched the results obtained with the steps in one method with another method.

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Potret Perencanaan Karier Siswa Budaya Rejang di SMA Negeri 9 Kota Bengkulu

Indonesian Journal of Guidance and Counseling: Theory and Application ◽

10.15294/ijgc.v8i2.30975 ◽

2019 ◽

Vol 8 (2) ◽

pp. 114-118

Author(s):

Heni Sulusyawati ◽

Widya Kartika Sari

Keyword(s):

Data Analysis ◽

Career Counseling ◽

Career Planning ◽

Guidance And Counseling ◽

Natural Setting ◽

Research Subjects ◽

Descriptive Research ◽

Cultural Themes ◽

Qualitative Descriptive ◽

Natural Settings

Tujuan penelitian ini adalah untuk mengetahui potret perencanaan karier siswa budaya rejang di SMA Negeri 9 Kota Bengkulu.Penelitian ini merupakan jenis penelitian deskriptif kualitatif. Adapun pendekatan yang digunakan yaitu dalam konteks natural setting untuk lebih memahami fenomena apa yang dialami oleh subjek penelitian dengan memanfaatkan metode natural setting. Analisis data dalam penelitian ini menggunakan model spradley antara analisis domain, analisis taksonomi, analisis komponensial, dan analisis tema kultural. Kegiatan nalisis data dalam penelitian ini dilakukan langsung di lapangan bersamaan dengan pengumpulan data. Berdasarkan temuan dan hasil analisis data maka dapat disimpulkan bahwa: Siswa yang berlatar belakang budaya rejang sudah memiliki perencanaan karier yang cukup baik, hal ini ditunjukkan bahwa siswa sudah dapat memahami potensi diri, sudah dapat mengemukakan pengetahuan tentang dunia kerja, sudah dapat mengemukakan hal-hal terkait dengan pencocokkan potensi diri dengan jenis pekerjaan yang akan dipilih. Disisi lain masih ditemukan siswa yang belum dapat memahami potensi diri, belum dapat mengemukakan dengan baik pengetahuan tentang dunia kerja, serta masih terdapat siswa yang kurang dapat mencocokkan potensi yang dimiliki dengan jenis pekerjaan yang sesuai dengan bakat dan minat. Hasil penelitian ini dapat diimplikasikan dalam kegiatan layanan bimbingan dan konseling di sekolah dan dapat diimplikasikan dalam mata kuliah Bimbingan Konseling Karier. The purpose of this study was to find out the portrait of career planning for cultural students in the State High School 9 of Bengkulu City. This research is a type of qualitative descriptive research. He approach used in this study is in the context of natural settings to better understand the phenomena experienced by research subjects by utilizing natural setting methods. The data analysis in this study uses a spradley model between domain nalysis, taxonomic analysis, componential analysis, and analysis of cultural themes. Data analysis can be concluded that: Students who have a cultural background have good career planning, it is shown that students can understand their potential, can express knowledge about the word of work, can express things related to matching their potential with the type the job to be chosen. On the other hand there are still students who have not been able to understand their potential, have not been able to express well the knowledge of the word of work, and there are still students who are less able to match their potential with the type of work that suits their talents and interests. The results of this study can be implicated in the activities of guidance and counseling services in schools and can be implicated in Career Counseling Guidance courses.

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Proses Berpikir Matematis Siswa dalam Menyelesaikan Masalah Matematika di tinjau dari Tipe Kepribadian Keirsey

Al-Jabar Jurnal Pendidikan Matematika ◽

10.24042/ajpm.v7i2.38 ◽

2016 ◽

Vol 7 (2) ◽

pp. 231-248

Author(s):

Khusnul Hamidah ◽

Suherman Suherman

Keyword(s):

Problem Solving ◽

Mathematical Thinking ◽

Personality Type ◽

Research Subjects ◽

Analysis Techniques ◽

Descriptive Research ◽

Mathematical Problems ◽

Qualitative Descriptive ◽

Data Validity ◽

Type Data

This study aims to describe the process of mathematical thinking of students in solving mathematical problems in terms of Keirsey's personality type. This research is a qualitative-descriptive research. Research subjects taken are MAN 2 Tulang Bawang Barat class XI students by purposive sampling. Research subjects amounted to 2 people from each personality type. Data collection is done by observation, interview, and documentation. Data validity using technique triangulation. Data analysis techniques used are the concept of Miles and Huberman, namely data reduction, data presentation, and conclusion. The results showed that each of Keirsey's students in solving mathematical problems was more likely to be a student of a Guardian personality type. In solving mathematical problems begins with the acceptance of information marked by understanding the problem involves knowing what is known (M1), knowing what is being asked (M2), knowing the required requirements in problem solving (M3), as well as making the model of math from the problem with its own understanding (M4). Then proceed with the processing of information marked by implementing the problem-solving plan (R1) and proceed with executing the plan to get the answer (P1), but the steps are not complete. While in rechecking the answer (C1) students do re-check, then in drawing a conclusion (C2), students draw conclusions only on some tests.

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ADAPTIVE REASONING OF SOCIAL SECONDARY STUDENTS

MATHEdunesa ◽

10.26740/mathedunesa.v9n1.p112-119 ◽

2020 ◽

Vol 9 (1) ◽

pp. 112-119

Author(s):

Nadhias Salwanda ◽

Tatag Yuli Eko Siswono

Keyword(s):

Social Sciences ◽

Problem Solving ◽

Secondary Students ◽

Mathematical Problem ◽

Research Subjects ◽

Mathematical Skills ◽

Reasoning Abilities ◽

Reasoning Problem ◽

The Social ◽

Mathematical Problems

Adaptive reasoning is a component of basic mathematical skills that needs to be developed for students so that they can use mathematical procedures effectively. This research is a qualitative research that aims to describe the adaptive reasoning profile of secondary students in the Social Sciences department in solving mathematical problems. Research subjects were three students that solving mathematical problems correctly, solving mathematical problems less correctly, and solving mathematical problems incorrectly. The method used to collect data was to provide mathematical problem-solving tests and interviews. Data were analyzed based on students' adaptive reasoning activities in their activities to solve mathematical problems seen from three main aspects of adaptive reasoning, namely reflecting, explaining, and justifying. The results show that student who solved mathematical problems correctly indicated adaptive reasoning abilities in every aspect; student who solved mathematical problems less incorrectly demonstrated adaptive reasoning abilities that almost met all indicator aspects, and student who solved mathematical problems incorrectly did not demonstrate adaptive reasoning abilities in every aspect. Keywords: adaptive reasoning, problem solving, social secondary students.

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