scholarly journals Exploring mathematization underpinnings of prospective mathematics teachers in solving mathematics problem

2018 ◽  
Vol 11 (2) ◽  
pp. 167-176
Author(s):  
. Lestariningsih ◽  
Siti Maghfirotun Amin ◽  
Agung Lukito ◽  
Moch Lutfianto
Keyword(s):  
Problem Solving ◽  
Mathematics Teachers ◽  
Mathematics Teacher ◽  
Ability Test ◽  
Mathematics Problem Solving ◽  
Mathematics Ability ◽  
Mathematical Problems ◽  
The Subject ◽  
Prospective Mathematics Teachers ◽  
Mathematics Problem

[English]: The purpose of this study is to explore the mathematization underpinnings of prospective mathematics teacher’s on mathematics problem solving. This study used explorative research with a qualitative approach. The instruments used in this study were mathematical ability test, contextual problems, and interview guidelines. A prospective mathematics teacher who has high mathematics ability involved in this study.The subject was selected from 56 prospective mathematics teachers through a test. After the subject solved contextual problems, an interview was conducted. The result revealed that the prospective mathematics teacher did mathematization when  solving the contextual problem by simplifying, solving in a structural way, and fitting to the context of the problem. This finding implies that mathematizationc ould reveal the way prospective mathematics teacher formulates contextual problems into mathematical problems. Keywords: Mathematization, Prospective mathematicsteacher,  Problem-solving, Contextual problems [Bahasa]: Tujuan penelitian ini adalah untuk mengeksplorasi matematisasi yang mendasari mahasiswa calon guru matematika dalam menyelesaikan masalah matematika. Penelitian ini menggunakan penelitian eksploratif dengan pendekatan kualitatif. Instrumen yang digunakan dalam penelitian ini adalah tes kemampuan matematika, masalah kontekstual, dan pedoman wawancara. Subjek penelitian adalah seorang calon guru matematika dengan kemampuan matematika tinggi yang dipilih dari 56 calon guru matematika dengan menggunakan tes kemampuan matematika. Setelah subjek penelitian menyelesaikan masalah kontekstual, dilakukan wawancara. Hasil penelitian menunjukkan bahwa mahasiswa calon guru matematika melakukan matematisasi yang sangat penting karena menyelesaikan masalah matematika dengan menyederhanakan masalah, menyelesaikan masalah secara terstruktur, dan diarahkan sesuai dengan konteks yang ada dalam masalah. Temuan dalam penelitian ini mengungkapkan bahwa melalui matematisasi dapat diketahui cara mahasiswa dalam merumuskan masalah kontekstual ke dalam soal matematis. Kata kunci: Matematisasi, Mahasiswa calon guru, Pemecaha masalah, Masalah kontekstual NB: PDF version of this article will be available in maximum two weeks after this publication

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

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.

scholarly journals STUDENTS’ CRITICAL THINKING PROFILES IN SOLVING MATHEMATICAL PROBLEMS BADES ON ADVERSITY QUOTIENT (AQ)

MATHEdunesa ◽  
2020 ◽  
Vol 9 (1) ◽  
pp. 211-220
Author(s):  
NILA NURCAHYANING KUSUMAWARDANI ◽  
RADEN SULAIMAN
Keyword(s):  
Critical Thinking ◽  
Problem Solving ◽  
Junior High School ◽  
Mathematical Problem ◽  
Good Communication ◽  
Mathematics Problem Solving ◽  
Mathematical Problems ◽  
Processing Information ◽  
Thinking Process ◽  
Mathematics Problem

Critical thinking is a thinking process in processing information logically starti from understanding, analyzing, evaluating and making precise conclusions. Critical thinking indicators are clarification, assessment, inference, and strategy that referred to Jacob and Sam. Mathematics is designed to improve students' critical thinking in a solving problem. One of the factors that affect students' critical thinking in solving a problem is AQ. This research is descriptive study with qualitative approach. The aim is to describe critical thinking profile of climber, camper, and quitter students in solving mathematical problems. The subjects were three students of VIII grade junior high school who represented each AQ category and had good communication skills. The instrument used was the ARP questionnaire, mathematics problem solving tests, and interview guidelines. The results shows that students’ critical thinking profile in understanding the problem is climber and camper student do all indicators of critical thinking in the clarification phase. Quitter student is only able mentioning known and asked information. In devising a plan, climber student implements all indicators of assessment and strategy phase. Camper student implements all indicators in assessment phase, but do not discuss the possible steps in strategy phase. Quitter student does not do both assessment and strategy phase. In carrying out the plan, climber and camper students do all indicators of inference phase, while quitter student does not. In the step of looking back, only climber student who carries out evaluating steps that have been done. Keywords: Jacob and Sam’s critical thinking, mathematical problem solving, adversity quotient

scholarly journals Metacognition Profile of Vocational High School Students in Mathematics Problem Solving Based on Logical Thinking Skills

2021 ◽  
Vol 13 (2) ◽  
pp. 1027-1037
Author(s):  
Mu'jizatin Fadiana ◽  
Andriani Andriani
Keyword(s):  
High School ◽  
High School Students ◽  
Problem Solving ◽  
Logical Thinking ◽  
Vocational High School ◽  
School Students ◽  
Mathematics Problem Solving ◽  
The Subject ◽  
Abstract Operation ◽  
Mathematics Problem

This study describes the profile of vocational high school students' metacognitive abilities in mathematics problem solving based on their logical thinking abilities. This research was conducted using descriptive research methods with a qualitative approach. The data was collected using a logical thinking ability test and problem-solving test and. Three students were selected who met different logical thinking stages: the abstract operation stage, the transition stage, and the concrete operational stage. The results showed the subject of the abstract operation stage fulfilled the metacognition stage by re-describing the given problem, knowing the relationship between what was known and what was asked, working on the problem by writing down what was known and asked and entering into the formula and also checking the answer. Transition stage subjects fulfill the metacognition stage by describing initial information and instructions, performing problem-solving steps, and counting to check completed work. The subject of concrete operations fulfills the metacognition stage by stating information and instructions that are non-specific and detailed. The subject has not been able to state the proper steps to ensure the information's conformity with the problem, and the subject sees what is done by calculating.

scholarly journals Problem posing ability among prospective mathematics teachers

2019 ◽  
Vol 14 (2) ◽  
pp. 188-198
Author(s):  
Ibnu Rafi ◽  
Sugiman Sugiman
Keyword(s):  
Learning Strategies ◽  
Mathematics Teachers ◽  
Mathematics Teacher ◽  
Relevant Literature ◽  
Google Scholar ◽  
Problem Posing ◽  
Publication Date ◽  
Mathematics Problems ◽  
Prospective Mathematics Teachers ◽  
Mathematics Problem

Posing mathematics problem is perceived as one of the learning strategies to promote students’ skills in mathematics problem-solving as well as one of the crucial competencies that should be mastered by prospective mathematics teachers. Some people argued that for prospective mathematics teachers, posing mathematics problem itself is as important as solving mathematics problem because when they become mathematics teachers, there exist necessity for them to pose mathematics problem as a means for assessing students’ understanding or achievement. The aim of this article, therefore, was to focus on the investigation into the prospective mathematics teachers’ ability in posing mathematics problems. Relevant literature from several electronic databases such as SpringerLink, ScienceDirect, ResearchGate, and Google Scholar was searched based on the following keywords: ‘pre-service mathematics teacher’, ‘problem-posing’, ‘prospective mathematics teacher problem-posing’, and ‘posing mathematics problem’. There was a total of 16 articles which were included into this review according to the determined inclusion criteria as follow: an empirical study that was published in journal or conference proceeding with the publication date from years of 2009 to 2019, written in English, full text, and discussing about prospective mathematics teachers’ ability in posing problem-related to mathematics. There were as many as three themes that deal with the prospective mathematics teachers’ ability to pose the mathematics problem, i.e. type of posed problem, ability in posing mathematics problem, and the difficulty which was experienced by prospective mathematics teachers in posing mathematics problem. These three themes and their implications are discussed in this article.Kemampuan calon guru matematika dalam mengajukan masalahAbstrakPengajuan masalah matematika dapat dianggap sebagai salah satu strategi pembelajaran untuk mengembangkan keterampilan siswa dalam memecahkan masalah matematika serta sebagai salah satu kompetensi yang penting yang seharusnya dikuasai oleh calon guru matematika. Beberapa orang berpendapat bahwa untuk calon guru matematika, mengajukan masalah matematika itu sama pentingnya dengan memecahkan masalah matematika karena ketika mereka menjadi guru matematika, ada suatu keharusan bagi mereka untuk mengajukan masalah matematika sebagai saran untuk menilai pemahaman atau pencapaian siswa. Tujuan artikel ini, oleh karena itu, adalah untuk fokus pada penyelidikan kemampuan calon guru matematika dalam mengajukan masalah matematika. Literatur yang relevan dari beberapa basis data elektronik seperti SpringerLink, ScienceDirect, ResearchGate, dan Google Scholar dicari berdasarkan kata kunci berikut: ‘pre-service mathematics teacher’, ‘problem-posing’, ‘prospective mathematics teacher problem-posing’, dan ‘posing mathematics problem’. Ada total 16 artikel yang dimasukkan ke dalam tinjauan ini sesuai dengan kriteria inklusi yang ditentukan sebagai berikut: studi empiris yang diterbitkan dalam jurnal atau prosiding seminar dengan tanggal publikasi dari tahun 2009 hingga 2019, ditulis dalam bahasa Inggris, teks lengkap, dan membahas tentang kemampuan calon guru matematika dalam mengajukan masalah yang berkaitan dengan matematika. Ada tiga tema yang berhubungan dengan kemampuan calon guru matematika untuk mengajukan masalah matematika, yaitu jenis masalah yang diajukan, kemampuan dalam mengajukan masalah matematika, dan kesulitan yang dialami oleh calon guru matematika dalam mengajukan masalah matematika. Ketiga tema dan implikasinya dibahas dalam artikel ini.

scholarly journals DESCRIPTION OF MATHEMATICS PROBLEM SOLVING ABILITY IN TERMS OF LEARNING STYLE

MaPan ◽  
2021 ◽  
Vol 9 (2) ◽  
pp. 280
Author(s):  
Ahmad Aas Syamsuadi ◽  
A. Aspar ◽  
Andi Alim Syahri
Keyword(s):  
Problem Solving ◽  
Learning Styles ◽  
Learning Style ◽  
Junior High School ◽  
Mathematical Problem ◽  
Visual Learning ◽  
Auditory Learning ◽  
Mathematics Problem Solving ◽  
Mathematical Problems ◽  
Mathematics Problem

This study aims to describe and determine students' abilities to solve mathematical problems that focus on visual and auditory learning styles. Subjects are eighth-grade students from junior high school in Bulukumba district. This research is descriptive qualitative, which seeks to determine and describe the mathematical problem solving ability in terms of student learning styles. Data is collected using questionnaires, tests, and interviews. The use of questionnaires describes visual learning styles and auditory learning styles. Two numbers of the test determine mathematics problem solving ability in Polya's step, and interviews confirm mathematics problem solving ability. The data analysis techniques are reduction, presentation, and verification. Based on the results, the first subject with a visual learning style can fulfill all the indicators of Polya's steps, but another one is just three indicators. The first subject with an auditory learning style can meet all Polya's steps, but the other can fulfill three indicators.

scholarly journals The description of students’ mathematical problem-solving skill and self-regulation

2017 ◽  
Vol 2 (1) ◽  
pp. 38
Author(s):  
Ani Nurwijayanti ◽  
Akhmad Jazuli ◽  
Erni Widyastuti
Keyword(s):  
Problem Solving ◽  
Mathematical Problem ◽  
Self Regulation ◽  
Mathematical Problem Solving ◽  
Term Result ◽  
Mathematics Problem Solving ◽  
Significant Difference ◽  
Mathematical Problems ◽  
Data Source ◽  
Mathematics Problem

<p class="Abstract">The research aimed to describe the students’ mathematics problem-solving skill and self-regulation in <em>SMP Negeri 8 Purwokerto</em> used Miles and Huberman’s model of cover reduction, serve, and conclusion. The data source of this research were eight graders of class F by using purposive sampling. The students grouped into three categories according to the mid-term result. The categories were: high, mediocre, and low scores. The data was collected using tests, questionnaire, interview, and documentation. This research concluded that the students’ mathematics problem-solving skill from those three categories was different. The high score students’ group had a better problem-solving skill compared to the students in the mediocre or the low categories. However, the self-regulation from these three groups did not have a significant difference. It was still at the developing level. Thus, it could be concluded that the students’ self-regulation did not affect the ability to solve mathematical problems.</p>

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 Meningkatkan Hasil Belajar Matematika Melalui Pendekatan Pemecahan Masalah dengan Strategi Polya Pada Siswa Kelas XI IPA SMA Negeri 2 Kalukku

2020 ◽  
Vol 2 (1) ◽  
pp. 49-56
Author(s):  
Sudirman .
Keyword(s):  
Problem Solving ◽  
Mathematics Learning ◽  
Descriptive Analysis ◽  
Average Score ◽  
Learning Achievement ◽  
Planning Stage ◽  
Mathematics Problem Solving ◽  
Quantitative Analyses ◽  
The Subject ◽  
Mathematics Problem

The study is a classroom action research which aims at describing (1) the improvement of Mathematics learning result through problem solving approach by Polya strategy of class XI IPA students at SMAN 2 Kalukku, (2) the improvement of Mathematics problem solving skill by Polya strategy. The subject is students of class XI IPA of SMAN 2 Kalukku, as many as 31 people consisted of 11 male and 20 female students. The technique used to analyze the data is qualitative and quantitative analyses. The qualitative data is used on students’ activities while the quantitative data is used on students’ learning achievement and students’ response. The results indicate that (1) the application of problem solving approach by Polya strategy can improve students’ learning achievement on Mathematics indicated by the descriptive analysis of the average score of students’ learning achievement 65.42 at cycle I to 75.06 at cycle II; (2) the application of problem solving approach by Polya strategy can improve students’ problem solving skill on Mathematics indicated by percentage descriptive analysis, which is problem comprehension stage 83.87% at cycle I to 90.32% at cycle II, problem solving planning stage 87.10% at cycle I to 96.77% at cycle II,

scholarly journals KARAKTERISTIK INTUISI SISWA SMP DALAM MEMECAHKAN MASALAH MATEMATIKA DITINJAU DARI KEMAMPUAN MATEMATIKA

MATHEdunesa ◽  
2020 ◽  
Vol 9 (1) ◽  
pp. 155-161
Author(s):  
Anam Brammanto Satriyo Pamuji ◽  
Pradnyo Wijayanti
Keyword(s):  
High School ◽  
High School Students ◽  
Problem Solving ◽  
Junior High School ◽  
Junior High ◽  
Mathematical Ability ◽  
School Students ◽  
Ability Test ◽  
Mathematics Ability ◽  
Mathematical Problems

The purpose of this study is to describe the intuition characteristics of junior high school students in solving mathematical problems viewed from mathematical abilities. This research based on qualitative descriptive study. The subjects of this study were taken from Lab School UNESA  Junior High School, which consisted of three students from class VIII A, namely one student with high, moderate,  and low mathematical ability. The method that used to collect data consists of the mathematical ability test,  problem solving test and so of the interview method. Data analysis uses the intuitive characteristic indicators at each stage of the problem solving. The conclusion of this study indicate that student with high mathematical ability at the stage of understanding the problem using affirmatory intuition with the characteristics of extrapolativeness, intrinsic certainty and perseverance, at the stage of making plans using anticipatory intuition with the characteristics of global ideas, and at the stage of carrying out plans and checking again not using intuition. Student with moderate mathematical ability at the stage of understanding the problem using affirmatory intuition with the characteristics of extrapolativeness, intrinsic certainty and perseverance, at the stage of making plans using anticipatory intuition with the characteristics of global ideas, and at the stage of carrying out plans and checking again not using intuition. Student with low mathematical ability at the stage of understanding the problem using affirmatory intuition with the characteristics of perseverance and coerciveness, at the stage of making plans using anticipatory intuition with the characteristics of global ideas, and at the stage of carrying out plans and checking again not using intuition. Keywords: Intuition, Problem solving , Mathematics ability

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