scholarly journals STUDENTS’ THINKING PROCESSES IN SOLVING OPEN-ENDED PROBLEMS USING ONLINE LEARNING TAKING INTO ACCOUNT THE MATHEMATICAL ABILITY

2021 ◽  
Vol 4 (1) ◽  
pp. 20-30
Author(s):  
Tigas Laila Nurpratiwi ◽  
Rini Setianingsih
Keyword(s):  
Online Learning ◽  
Qualitative Approach ◽  
Mathematical Ability ◽  
Ability Test ◽  
Mathematical Abilities ◽  
8Th Grade ◽  
Thinking Process ◽  
Thinking Processes ◽  
Looking Back

It is important for a student to be able to solve problems. This study aims to describe students’ thinking processes in solving open-ended problems with online learning reviewed from mathematical abilities. This research is descriptive in nature with a qualitative approach. The subjects of this research consist of three 8th grade students, while the research instruments that were used consist of a mathematical ability test, an open-ended problem test and interview guideline. The results of the study reveal that student with high mathematical abilities meets all indicators of thinking processes, while student with average mathematical ability at the step of understanding the problem, did not carry out of making arguments, at the step of devising a plan he did not carry out the considering thinking process, as well as did not give an argument at the step of looking back. Almost the same as these results, student with low mathematical ability did not carry out the thinking process of remembering and the process of considering, while at the step of looking back, he did not carry out the process of considering and making an argument. Based on these results, it can be concluded that mathematical ability affects a student’s thinking process.                         

scholarly journals Students’ Mathematical Literacy in Solving PISA Problem Using Indonesian Cultural Context

2021 ◽  
Vol 6 (1) ◽  
pp. 52-67
Author(s):  
Ratri Murdy Andari ◽  
Rini Setianingsih
Keyword(s):  
Cultural Context ◽  
Descriptive Study ◽  
Qualitative Approach ◽  
Mathematical Ability ◽  
Mathematical Literacy ◽  
Ability Test ◽  
Mathematical Abilities ◽  
9Th Grade ◽  
The Subject ◽  
Literacy Test

This study aims to examine students’ mathematical literacy in solving PISA problems using the Indonesian cultural context. This is a descriptive study with a qualitative approach. As the subject of this study are three 9th grade students with high, average, and low mathematical abilities. In collecting the data, the researchers used three instruments, namely, mathematical ability test, mathematical literacy test, and interview guidelines. The results reveal that student with high mathematical ability meets all indicators in the process of formulating, employing, and interpreting. Otherwise, students with average or low mathematical abilities only meet some indicators in the process of mathematical literacy. Therefore, it is suggested for the teacher to provide practice especially for students having average or low mathematical abilities with literacy problems using contexts that exist in students’ life, such as the Indonesian cultural context

scholarly journals PROFIL PENALARAN ANALOGI SISWA DALAM PEMECAHAN MASALAH MATEMATIKA DITINJAU DARI KEMAMPUAN MATEMATIKA

MATHEdunesa ◽  
2020 ◽  
Vol 9 (1) ◽  
pp. 35-39
Author(s):  
Tri Wilfi Iqlima ◽  
Susanah Susanah
Keyword(s):  
Descriptive Study ◽  
Qualitative Approach ◽  
Mathematical Ability ◽  
Target Problem ◽  
Mathematical Abilities ◽  
School Year ◽  
Mapping Process ◽  
Mathematical Problems ◽  
The Subject ◽  
The Difference

Analogy reasoning is the process of thinking logically and analytically in drawing conclusions based on the similarities between the two things being compared. The purpose of this study is to describe the analogy reasoning of students in solving mathematical problems in terms of high, medium, and low mathematical abilities. This research is a descriptive study with a qualitative approach. Data collection was carried out in class IX-H of SMP Negeri 5 Surabaya in the 2019/2020 school year by 33 students and each subject was selected for each category of mathematical ability. The results of the analysis of Problem Solving Tests and interviews show that students with high, medium, and low mathematical abilities mention information that is known and what is asked for logical reasons on the source and target problem, and explain the relations between the information. This indicates that each subject has an encoding process. Each subject also mentions and explains the concepts used to solve source problems, which means each subject has an inferring process. The difference is, subjects with high mathematical ability mention the same concepts between the source problem and the target problem and explain the concepts used to solve the target problem, then students can complete the target problem. This means that the subject is doing two other processes, namely mapping and applying. Subjects with medium mathematical abilities are mentioning the same concept between the source problem and the target problem but cannot explain the concept used in the target problem. However, the subject only did one of the two indicators in the mapping process, so the analogy reasoning process carried out by the subject was encoding and inferring. While students with low mathematical abilities are stopped in the encoding and inferring processes. Keywords: Analogy Reasoning, Mathematical Abilitiy

scholarly journals Mathematical Literacy: A Case Study on Padang Students' Mathematical Ability

2021 ◽  
Vol 12 (1) ◽  
pp. 109-120
Author(s):  
Yulia Yulia ◽  
Martin Kustati ◽  
Juli Afriadi
Keyword(s):  
Mathematics Learning ◽  
Descriptive Study ◽  
Qualitative Approach ◽  
Literacy Skills ◽  
Mathematical Ability ◽  
Research Subjects ◽  
Mathematical Literacy ◽  
High Data ◽  
Mathematical Abilities

This study aims to analyze student mathematical literacy ability from the perspective of students' Mathematical Ability. This research is a descriptive study with a qualitative approach. The research subjects were three students of XI IPA 1 MAN 1 Padang with different mathematical abilities: low, medium, and high. Data were collected through documentation, tests, and interviews. The results of the analysis show that students with high abilities can solve routine problems, interpret problems and solve them with formulas, carry out procedures well, can deal with complex situations, use their reasoning in solving problems, can work effectively and interpret different representations and then relate them to the real world. Students with moderate abilities can solve routine problems, interpret problems and solve them with formulas, and carry out procedures properly. Meanwhile, students with low abilities are only able to solve routine questions. Based on these results, it is necessary to look for strategies in the mathematics learning process, which enable the improvement of students' mathematical literacy skills.

scholarly journals Pelaksanaan Kegiatan Pembelajaran Membaca, Tulis Dan Hitung (Calistung) Untuk Meningkatkan Kemampuan Matematis Santri TPA Al-Ukhwah di Desa Tanjung Deah, Aceh Besar

2021 ◽  
Vol 1 (2) ◽  
pp. 226-232
Author(s):  
Lisma Novita ◽  
Zainal Abidin
Keyword(s):  
Research Methods ◽  
Community Service ◽  
Qualitative Approach ◽  
Mathematical Ability ◽  
Teaching Materials ◽  
Learning To Read ◽  
Low Level ◽  
Descriptive Research ◽  
Mathematical Abilities ◽  
Service Activity

This community service activity is motivated by the low level of mathematical ability of TPA children in learning to read, write and count. This activity aims to increase the mathematical ability of Al-Ukhwah TPA children in the fields of reading, writing, and arithmetic. The implementation of this activity was carried out using descriptive research methods with a qualitative approach. The findings in this service are 1) Knowing the importance of learning to read, writing and counting, 2) Researchers can carry out this activity in several ways, including designing methods or strategies and teaching materials, providing motivation and teaching, and selecting assignments to be given, 3) Reading, writing and arithmetic activities can improve children's mathematical abilities.

scholarly journals Analisis Proses Berpikir Siswa dalam Menyelesaikan Soal HOTS Ditinjau dari Gaya Kognitif

2020 ◽  
Vol 5 (1) ◽  
pp. 40-52
Author(s):  
Arnindia Via Mawardi ◽  
Aning Wida Yanti ◽  
Yuni Arrifadah
Keyword(s):  
Computational Thinking ◽  
Research Subjects ◽  
Conceptual Thinking ◽  
National Examination ◽  
Field Independent ◽  
National Examinations ◽  
8Th Grade ◽  
Thinking Process ◽  
Thinking Processes ◽  
Written Test

The students’ thinking process when solving HOTS questions in mathematics National Examinations very necessary to know. There are three types of students’ thinking processes used in this study, namely conceptual thinking, semi-conceptual thinking, and computational thinking. This study aims to describe in detail about field-independent and field-dependent students' thinking process when solving HOTS questions in the 2018 Mathematics National Examination. The research subjects were six 8th grade students, consisting of 3 students on each cognitive style. Data collection techniques are written test and interview. The written test and interview results data are analyzed according to indicators of the thinking process. The results of this study indicate that the field independent students' thinking process is conceptual while dependent students are computational.

scholarly journals ANALISIS BERPIKIR KRITIS MAHASISWA DALAM MENYELESAIKAN MASALAH KONTROVERSIAL MATEMATIKA

2021 ◽  
Vol 9 (1) ◽  
pp. 1
Author(s):  
Alfiani Athma Putri Rosyadi
Keyword(s):  
Critical Thinking ◽  
Data Analysis ◽  
Teacher Candidates ◽  
Descriptive Study ◽  
Qualitative Approach ◽  
Research Subjects ◽  
Student Work ◽  
Controversial Problem ◽  
Thinking Process ◽  
Thinking Processes

Berpikir kritis penting dalam kehidupan sehari-hari, karena dapat mengembangkan kemampuan untuk membuat keputusan dan menyelesaikan masalah. Tujuan dari penelitian ini adalah untuk mendeskripsikan proses berpikir kritis mahasiswa dalam menyelesaikan permasalahan kontroversial. Proses berpikir kritis dalam penelitian ini mengacu pada  (a) Identify, (b) Define, (c) Enumerate, (d) Analyze, (e) List dan (f) Self-Correct. Penelitian ini adalah penelitian deskriptif dengan pendekatan kualitatif. Instrumen penelitian terdiri dari peneliti, lembar kerja, hasil kerja mahasiswa dan hasil wawancara. Penelitian ini melibatkan 40 mahasiswa calon guru semester 6 ( 43% ) dan semester 8 (57%) di jurusan matematika di kota malang. Analisis data dilakukan melalui : (1) Reduksi dari data tes dan hasil wawancara ,(2) Analisis dari data hasil tes dan wawancara dan (3) menyajikannya. Hasil penelitian menunjukkan bahwa proses berpikir kritis dalam menyelesaikan masalah kontroversial melalui lima tahapan yaitu: Identify, Define, Enumerate, Analyze dan List serta Self-Correct. Hal ini menunjukkan terdapat penggabungan proses analyze dan list pada subjek penelitian saat menyelesaikan permasalahan kontroversial. Penguatan argumentasi muncul pada bagian enumerate, analisis dan list. Saran untuk peneliti berikutnya adalah diperlukan studi tentang kemungkinan penggabungan proses berpikir kritis. Selain itu kelemahan pada tahap analisis bisa menjadi referensi untuk dapat menggunakan metode lain untuk meningkatkan berpikir kritisnya. Kata kunci: Berpikir Kritis, Pemecahan Masalah, Masalah Matematika Kontroversial Abstract:  Critical thinking is essential in everyday life because it can develop the ability to make decisions and solve problems. The purpose of this study was to describe the critical thinking process of students in solving controversial problems. The critical thinking process in this study refers to (a) Identify, (b) Define, (c) Enumerate, (d) Analyze, (e) List, and (f) Self-Correct. This research is a descriptive study with a qualitative approach. The research instrument consisted of researchers, worksheets, student work results, and interviews. This study involved 40 student-teacher candidates in the 6th semester (43%) and 8th semester (57%) in the mathematics department in Malang. Data analysis was carried out through (1) reduction of test data and interview results, (2) analysis of test and interview data, and (3) presenting them. The results showed that the critical thinking process in solving controversial problems through five stages, namely: Identify, Define, Enumerate, Analyze, and List and Self-Correct. This shows that there is a combination of the analysis and list processes in research subjects when solving controversial problems. Argument reinforcement appears in the enumerate, analysis, and list sections. The suggestion for the next researchers is that studies on the possibility of incorporating critical thinking processes are needed. Besides that, the weaknesses in the analysis stage can be a reference to be able to use other methods to improve critical thinking. Keywords: Critical Thinking, Problem Solving, Controversial Problem

scholarly journals Proses berpikir siswa dalam menyelesaikan masalah geometri: Perbedaan siswa bertemperamen choleric dengan melancholic

2017 ◽  
Vol 10 (2) ◽  
pp. 134-152
Author(s):  
Miftah Syarifuddin
Keyword(s):  
Problem Solving ◽  
Research Subjects ◽  
Ability Test ◽  
Conceptual Thinking ◽  
Descriptive Research ◽  
Geometry Problem ◽  
Thinking Process ◽  
Thinking Processes ◽  
Geometry Problem Solving ◽  
Selection Of

[Bahasa]: Penelitian ini bertujuan untuk mendeskripsikan proses berpikir siswa bertemperamen choleric dan melancholic dalam menyelesaikan masalah geometri. Proses berpikir dalam penelitian ini adalah proses berpikir konseptual atau proses berpikir prosedural. Proses berpikir konseptual meliputi 5 (lima) kompetensi, yaitu menggunakan aturan dasar, melihat pola, menerapkan konsep, mengklarifikasi situasi, dan mengembangkan masalah. Proses berpikir prosedural adalah cara berpikir siswa yang terbiasa menghafal rumus dan menggunakan cara-cara rutin dalam menyelesaikan masalah. Penelitian ini merupakan penelitian deskriptif dengan pendekatan kualitatif. Subjek penelitian terdiri dari 2 (dua) siswa perempuan dengan kemampuan matematika tinggi dan setara di kelas IX Salatiga, Indonesia, terdiri dari 1 (satu) siswa bertemperamen choleric dan 1 (satu) siswa bertemperamen melancholic. Pemilihan subjek penelitian berdasarkan hasil tes temperamen dan hasil tes kemampuan matematika. Data penelitian diperoleh dari pemberian tugas penyelesaian masalah geometri dan wawancara kepada para subjek penelitian sebanyak 2 (dua) kali. Pemberian tugas penyelesaian masalah kedua dan wawancara kedua merupakan triangulasi data. Hasil penelitian menunjukkan bahwa proses berpikir siswa terungkap melalui tugas penyelesaian masalah geometri yang diberikan. Siswa bertemperamen choleric menggunakan proses berpikir prosedural dalam menyelesaikan masalah geometri, sedangkan siswa bertemperamen melancholic menggunakan proses berpikir konseptual dalam menyelesaikan masalah geometri. Kata kunci: Proses Berpikir; Choleric; Melancholic; Masalah Geometri [English]: This study aims to describe the thinking process of students with choleric and melancholic temperament in solving geometry problems. The thinking process in this research is conceptual thinking process or procedural thinking process. The conceptual thinking process includes 5 (five) competencies, i.e. using basic rules, seing patterns, applying concepts, clarifying situations, and developing problems. The process of procedural thinking is a way of thinking of students who are used to memorizing formulas and using routine ways of solving problems. This research was a descriptive research with qualitative approach. The subjects consisted of 2 (two) female students with high and equivalent mathematics abilities in the ninth grade in Salatiga, Indonesia consisting of 1 (one) choleric student and 1 (one) melancholic student. The selection of research subjects is based on temperament test and mathematical ability test. Research data obtained from geometry problem solving task and interview to the research subjects twice. The second task of problem solving and interview is triangulation of data. The results reveal the thinking process of students through the task of solving the geometry problem given. Student with choleric temperament used procedural thinking processes in solving geometry problems, while student with melancholic temperament used conceptual thinking processes in solving geometry problems. Keywords: Thinking; Choleric; Melancholic; Geometry Problems

scholarly journals WRITTEN MATHEMATICAL COMMUNICATION SKILLS ON OPEN-ENDED PROBLEMS: IS IT DIFFERENT BASED ON THE LEVEL OF MATHEMATICS ABILITY?

MaPan ◽  
2020 ◽  
Vol 8 (2) ◽  
pp. 179-204
Author(s):  
◽  
Moh. Zayyadi ◽  
Kuratul Aini Saleh
Keyword(s):  
Qualitative Research ◽  
Communication Skills ◽  
Mathematical Ability ◽  
Situation Models ◽  
Mathematical Communication ◽  
Ability Test ◽  
Mathematical Ideas ◽  
Mathematical Abilities ◽  
Mathematics Ability ◽  
Descriptive Qualitative

This study aims to describe students' written mathematical communication skills in open-ended problems based on their mathematical abilities. This research was conducted at grade VII-A of SMPN 1 Pamekasan. This research uses descriptive qualitative research. The instruments used were the Mathematical Ability Test (MAT), Written Mathematical Communication Skills Test (WMCST) on open-ended problems, and Interview Guidelines. The results showed that subjects with high and moderate mathematical ability were able to meet three indicators of written mathematical communication skills, namely being able to express mathematical ideas through writing, demonstrate and convey visually; able to understand, interpret and evaluate mathematical ideas in writing, as well as in other visual forms; and able to use mathematical notations in the structure to write down ideas and relationships with situation models in writing. Meanwhile, subjects with low mathematics ability can fulfill 2 out of 3 indicators of written mathematical communication skills, namely being able to express mathematical ideas through writing, demonstrate and convey visually; unable to understand, interpret and evaluate mathematical ideas in writing or other visual forms; and able to use mathematical notations in the structure to write ideas and relationships with situation models.

scholarly journals THE VALIDITY AND RELIABILITY OF INSTRUMENTS FOR MEASURING ELEMENTARY SCHOOL STUDENTS' EARLY MATHEMATICAL ABILITY

2021 ◽  
Vol 6 (2) ◽  
pp. 127-142
Author(s):  
Aan Yuliyanto ◽  
Turmudi Turmudi ◽  
Ernawulan Syaodih ◽  
Dadan Rusdiana Saputra ◽  
Arie Dharmawan ◽  
...  
Keyword(s):  
Elementary School ◽  
High Reliability ◽  
Sixth Grade ◽  
Mathematical Ability ◽  
P Value ◽  
Validity And Reliability ◽  
School Students ◽  
Ability Test ◽  
Test Items ◽  
Mathematical Abilities

Teachers need to understand students' early mathematical abilities before continuing learning on the next topic to retain the knowledge. This study aims to produce appropriate and reliable instruments for quality research related to early mathematical abilities. This research implemented R&D. The subjects were 113 sixth-grade students of the elementary school in Karawang. The instrument used was a test to measure early mathematical ability. Validity and reliability tests indicated that the five initial mathematical ability test items were considered valid, with r count > r table and p-value <0.05. The Cronbach's Alpha value was 0.875 (above 0.8 or high reliability). Thus, the five items of the early mathematical ability instrument on the volume of cubes and rectangular prisms can be used for further research to measure the same variables accurately. The results are not significantly different for the same subject even though the time and place are different.

PROSES BERPIKIR SISWA MADRASAH ALIYAH DALAM MEMBUAT PETA KONSEP TURUNAN DİTİNJAU DARI GAYA BELAJAR VISUAL, AUIDITORI DAN KINESTETIK

2020 ◽  
Vol 12 (2) ◽  
Author(s):  
Ahmad Isro'il ◽  
Sukiyanto ◽  
Pujiono
Keyword(s):  
Learning Style ◽  
Concept Maps ◽  
Concept Map ◽  
Analysis Data ◽  
Qualitative Approach ◽  
Cross Link ◽  
Auditory Learning ◽  
Descriptive Research ◽  
Thinking Process ◽  
Thinking Processes

This research aims to describe the thinking process of students in creating concept maps based on visual, auditory and kinesthetic learning styles.This research is descriptive research with qualitative approach. The subjects consisted of 3 students based on the learning style questionnaire analysis. Data collection techniques are job-based interviews.The results showed that there are differences in students' thinking processes in creating concept maps. The three subjects perform the stage of creating a concept map completely but there are differences on how to make it. This happens because subjects with an auditory learning style can’t make a cross link so the resulting concept maps are different.The results of this research can be used as an alternative in developing learning by concept map method.

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