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STUDENTS’ WAYS OF UNDERSTANDING AND THINKING BASED ON HAREL’S THEORY IN SOLVING SET PROBLEMS Samosir, Christina Monika; Herman, Tatang
JOHME: Journal of Holistic Mathematics Education Vol 7, No 2 (2023): DECEMBER
Publisher : Universitas Pelita Harapan

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.19166/johme.v7i2.7422

Ways of thinking (WoT) and Ways of Understanding (WoU) are important in learning mathematics. This study aims to analyze the characteristics of students' ways of thinking (WoT) and ways of understanding (WoU) when solving set problems. The participants in this study were 27 students in the seventh grade at a private secondary school in Bandung. Four students were selected as research subjects. The research method used is qualitative research. The instruments in this study were the researchers and the set material problem-solving test. The data collection technique in this study was carried out through a test, interviews, and documentation. The research results showed that the majority of students who were correct in their way of thinking were also correct in their way of understanding. And the majority of students who have the incorrect way of thinking also have the incorrect way of understanding. The study's results also indicated that the majority of student errors stemmed from a lack of proper understanding of the question and the concept of set theory.BAHASA INDONESIA ABSTRACT: Cara berpikir dan cara memahami merupakan hal yang penting dalam belajar matematika. Penelitian ini bertujuan untuk menganalisis karakteristik cara berpikir dan cara memahami siswa dalam menyelesaikan masalah himpunan. Partisipan pada penelitian ini adalah siswa kelas VII di salah satu SMP Swasta di Bandung berjumlah 27 partisipan. Empat siswa dipilih sebagai subjek penelitian. Metode penelitian yang digunakan adalah penelitian kualitatif. Instrumen dalam penelitian ini adalah peneliti sendiri dan tes pemecahan masalah materi himpunan. Teknik pengumpulan data dalam penelitian ini dilakukan dengan memberikan tes, wawancara dan dokumentasi. Hasil penelitian menunjukkan bahwa mayoritas siswa yang memiliki cara berpikir yang benar juga memiliki cara pemahaman yang benar. Dan mayoritas siswa yang memiliki cara berpikir yang salah juga memiliki cara pemahaman yang salah. Hasil penelitian juga menunjukkan bahwa sebagian besar kesalahan siswa disebabkan karena siswa kurang memahami soal dan konsep materi himpunan dengan baik.

AN INVESTIGATION INTO THE INTERVENTION STRATEGIES IMPLEMENTED BY EDUCATORS IN ENHANCING LEARNERS’ UNDERSTANDING OF NUMBER SENSE Hove, Netsai; Hendricks, Winston; Olawale, Babawande Emmanuel
JOHME: Journal of Holistic Mathematics Education Vol 7, No 2 (2023): DECEMBER
Publisher : Universitas Pelita Harapan

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.19166/johme.v7i2.7140

Global and country-specific mathematics performance constitutes a major challenge, both for educators and policymakers. Realisation of the African Union Agenda 2013 hinges significantly upon transformation of education. In this regard, mathematics and science education, specifically, are instruments for scientific and technological development to position Africa on the same level as the global league of continents in the future. It is, therefore, important to develop amongst learners a good understanding of a mathematical concept such as number sense from an early age, given that students who have a good sense of numbers can manipulate figures to simplify calculations and have the confidence to approach problems in a variety of ways. It is for this reason that the present study investigates the intervention strategies implemented by educators in enhancing learners’ understanding of number sense in the Ekurhuleni North District schools, Gauteng Province, South Africa. The study used a case study design and a qualitative research approach, both of which were supported by an interpretivist paradigm. The study made use of a semi-structured interview to gather data from mathematics teachers, learners, and a principal in the selected school. Research findings revealed that although mental computation, use of concrete props, use of the number line, and a counting strategy are some of the various strategies employed to enhance learners’ understanding of number sense, teachers need to develop a sound understanding of number sense and be flexible in their approaches in order to assist learners. Based on the findings, it was recommended that curriculum designers and teachers concentrate on teaching methods to help students develop learners’ number sense, as this can lead to potential mathematics success.

PENGEMBANGAN MEDIA PEMBELAJARAN SMART TV DALAM PEMBELAJARAN MATEMATIKA DI SEKOLAH MENENGAH PERTAMA BEKASI [DEVELOPMENT OF SMART TV LEARNING MEDIA IN MATHEMATICS EDUCATION AT A JUNIOR HIGH SCHOOL IN BEKASI] Simamora, Marihot; Winardi, Yonathan
JOHME: Journal of Holistic Mathematics Education Vol 8, No 1 (2024): JUNE
Publisher : Universitas Pelita Harapan

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.19166/johme.v8i1.8228

Educational technology has grown rapidly and extensively, but unfortunately its presence in learning mathematics has not been maximized. A preliminary survey and the researchers' personal experience with the use of Smart TVs in one junior high school (SMP) motivated the researchers to do research and development (R&D) which began with a clear and comprehensive needs analysis. The aim of this research is to determine the need to further develop Smart TV learning media and explain ways to improve its use based on the conclusions of the needs analysis. The research method applied is the ADDIE Model with its stages of Analysis, Design, Development, Implementation and Evaluation. The instrument used to collect needs analysis data is a survey which, after being validated and revised, was distributed via g-form to students, mathematics teachers, and junior high school leaders. The results of the needs analysis show that even though Smart TVs were used, the majority of students have difficulty understanding mathematical concepts because Smart TVs are not interesting and interactive. A Smart TV is just a substitute for LCDs and laptops. Therefore, researchers designed learning methods that are interesting and involve students in using Smart TVs should focus on inquiry learning methods and educational games. The implementation steps will help mathematics teachers to maximize the use of Smart TVs in the classroom.BAHASA INDONESIA ABSTRACT: Teknologi pembelajaran telah berkembang begitu cepat dan luas, tetapi kehadirannya di pembelajaran Matematika belum dimaksimalkan. Beberapa sekolah telah menggunakan Smart TV sebagai media pembelajaran di kelas, tetapi survei awal dan pengalaman pribadi peneliti akan kurang maksimalnya penggunaan Smart TV di satu sekolah menengah pertama (SMP) memotivasi peneliti untuk melakukan penelitian R & D yang dimulai dengan sebuah analisis kebutuhan yang jelas dan komprehensif. Tujuan dari penelitian ini adalah untuk mengetahui analisis kebutuhan untuk lebih jauh mengembangkan Smart TV serta menjelaskan cara-cara pengembangan media tersebut berdasarkan temuan-temuan kesimpulan analisis kebutuhan. Model penelitian yang diterapkan dalam penelitian ini adalah model pengembangan ADDIE dengan tahapan Analysis, Design, Development, Implementation and Evaluation. Instrumen yang digunakan untuk mengumpulkan data analisis kebutuhan adalah survei yang setelah divalidasi dan direvisi, survei tersebut disebarkan melalui ke g-form kepada siswa/i, guru matematika dan pimpinan sekolah. Hasil analisis kebutuhan menunjukkan bahwa meskipun Smart TV telah digunakan, siswa/i masih kesulitan menguasai konsep Matematika karena Smart TV kurang menarik dan interaktif. Smart TV hanya sekedar pengganti LCD dan laptop. Oleh karena itu, peneliti merancang metode pembelajaran yang menarik dan melibatkan siswa dalam penggunaan Smart TV yaitu metode pembelajaran inquiri dan permainan edukasi. Langkah-langkah penerapannya akan menolong guru-guru Matematika untuk memaksimalkan penggunaan Smart TV di kelas.

PENGEMBANGAN APLIKASI SMART – CALCULATOR BERBASIS DIGITAL SEBAGAI MEDIA PEMBELAJARAN MATERI KOMBINATORIKA [DEVELOPING SMART APPLICATION – DIGITAL-BASED CALCULATOR AS A REINFORCEMENT MEDIA IN LEARNING DISCRETE MATHEMATICS] Pratiwi, Indah Riezky; Sari, Elisa Mayang; Novitasari, Novitasari; Zikri, Arifin; Putra, Muhammad Galvin Prihadi
JOHME: Journal of Holistic Mathematics Education Vol 7, No 2 (2023): DECEMBER
Publisher : Universitas Pelita Harapan

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.19166/johme.v7i2.7450

Learning combinatorics material requires a digital learning medium that is able to support students' independent learning. The unavailability of digital media makes students experience difficulties, so independent learning cannot be carried out effectively. This research aims to develop a digital-based smart calculator application as a learning medium for combinatorics material that meets the criteria of being valid, effective, and practical. This research applies research and development (R&D) methods whose stages are the preliminary stage, planning stage, formative evaluation stage, prototyping stage, and large class trials (field tests). A total of 31 Bangka Belitung State Manufacturing Polytechnic TRPL students were the subjects of this research. The data collection techniques applied are expert validation sheets, effectiveness trial questionnaires, and practicality trial questionnaires. Expert validation activities provide evidence that the media is valid and ready to be used in learning. Based on effectiveness and practicality trials on 31 students, the results showed that the digital-based smart calculator application was classified as effective and practical. Based on the research conducted, it can be concluded that the development of a digital-based smart-calculator application is valid, effective, and practical, so that the digital-based smart-calculator application is ready to be used and applied to learning combinatorics material.BAHASA INDONESIA ABSTRACT: Pembelajaran materi kombinatorika membutuhkan suatu media pembelajaran digital yang mampu mendukung pembelajaran mandiri mahasiswa. Tidak tersedianya media digital ini membuat mahasiswa mengalami kesulitan sehingga pembelajaran mandiri tidak dapat terlaksana dengan efektif. Penelitian ini bertujuan untuk mengembangkan aplikasi smart – calculator berbasis digital sebagai media pembelajaran materi kombinatorika yang memenuhi kriteria valid, efektif, dan praktis Penelitian ini menerapkan metode penelitian dan pengembangan (R&D) yang tahapannya yaitu tahap preliminary, tahap perencanaan, tahap formative evaluation, tahap prototyping, dan uji coba kelas besar (field test). Sejumlah 31 mahasiswa TRPL Politeknik Manufaktur Negeri Bangka Belitung menjadi subjek dalam penelitian ini. Teknis pengumpulan data yang diterapkan adalah menggunakan lembar validasi ahli, angket uji coba keefektifan, dan angket uji coba kepraktisan. Kegiatan validasi ahli memberikan hasil bahwa media valid dan siap digunakan dalam pembelajaran. Berdasarkan uji coba keefektifan dan kepraktisan terhadap 31 mahasiswa memberikan hasil bahwa aplikasi smart – calculator berbasis digital tergolong efektif dan praktis. Berdasarkan penelitian yang dilakukan dapat disimpulkan bahwa pengembangan aplikasi smart – calculator berbasis digital tergolong valid, efektif, dan praktis sehingga aplikasi smart – calculator berbasis digital siap digunakan dan diterapkan pada pembelajaran materi kombinatorika.

IMPLEMENTASI ASESMEN BERBASIS OPEN-ENDED MATHEMATICS PROBLEMS PADA SISWA SMP YANG MENDUKUNG KURIKULUM MERDEKA [IMPLEMENTATION OF AN OPEN-ENDED BASED ASSESSMENT WITH MIDDLE SCHOOL MATHEMATICS STUDENTS THAT SUPPORTS THE MERDEKA CURRICULUM] Mulia, Abigail Christina; Sa'dijah, Cholis; Susanto, Hery
JOHME: Journal of Holistic Mathematics Education Vol 8, No 1 (2024): JUNE
Publisher : Universitas Pelita Harapan

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.19166/johme.v8i1.7721

Creativity is one of six basic principles required for the Merdeka Curriculum implementation. Not only is it realized through the Pancasila Student Profile Strengthening Project (P5), creativity also needs to be realized in learning activities. This research aims to describe the implementation of problem exercises based on open-ended mathematics problems as a form of formative assessment that supports the implementation of the Merdeka Curriculum, especially in supporting students' mathematical creativity. The research was conducted at SMP Negeri 5 Malang using the qualitative descriptive method. The research subjects were 32 seventh grade students in the 2023/2024 school year.The instruments used were question exercises and rubrics based on open-ended mathematics problems that have met the valid criteria, activity observation sheets, and student interview guidelines. The results showed that the assessment based on open-ended mathematics problems can assess the level of mathematical creativity and prompted the student’s mathematical creativity. In the implementation of assessment based on open-ended mathematics problems based on valid open-ended mathematics problems, data was obtained that the level of practicality of assessment reached a practicality score of 3,674 which means that assessment based on open-ended mathematics problems is easy to use. Based on the response questionnaire and interviews, further research is recommended to integrate open-ended mathematics problems-based assessment with gamification.BAHASA INDONESIA ABSTRACT: Kreativitas merupakan salah satu bentuk profil pelajar Pancasila. Tidak hanya diwujudkan melalui Proyek Penguatan Profil Pelajar Pancasila (P5), kreativitas juga perlu diwujudkan dalam kegiatan pembelajaran. Penelitian ini bertujuan untuk mendeskripsikan implementasi latihan soal berbasis open-ended mathematics problems sebagai salah satu bentuk asesmen formatif yang mendukung pelaksanaan Kurikulum Merdeka, khususnya dalam mendukung kreativitas matematis siswa. Penelitian dilakukan di SMP Negeri 5 Malang dengan metode deskriptif kualitatif. Subjek penelitian adalah 32 siswa kelas VII tahun ajaran 2023/2024. Instrumen yang digunakan adalah latihan soal dan rubrik penilaian berbasis open-ended mathematics problems yang telah memenuhi kriteria valid, lembar observasi kegiatan, dan pedoman wawancara siswa. Pada implementasi asesmen berbasis open-ended mathematics problems yang telah valid, diperoleh data bahwa tingkat kepraktisan asesmen mencapai skor kepraktisan 3,74 yang berarti asesmen berbasis open-ended mathematics problems mudah untuk digunakan. Berdasarkan angket respons dan wawancara, penelitian lanjutan disarankan untuk mengintegrasikan asesmen berbasis open-ended mathematics problems dengan gamifikasi.

PROFIL KEMAMPUAN NUMERASI SISWA SMA DI BANGKA DALAM MENYELESAIKAN PERMASALAHAN BERBASIS ASESMEN KOMPETENSI MINIMUM DARI SEGI PENALARAN ADAPTIF [PROFILE OF THE NUMERACY ABILITY OF HIGH SCHOOL STUDENTS IN BANGKA IN SOLVING PROBLEMS BASED ON MINIMUM COMPETENCY ASSESSMENT IN TERMS OF ADAPTIVE REASONING] Pratiwi, Indah Riezky; Novitasari, Novitasari; Sari, Elisa Mayang
JOHME: Journal of Holistic Mathematics Education Vol 8, No 1 (2024): JUNE
Publisher : Universitas Pelita Harapan

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.19166/johme.v8i1.8274

Numeracy and literacy are the focus of Indonesia's education system. This is evident from the implementation of the Minimum Competency Assessment (AKM), which has been part of the national annual assessment since 2021. The results are analyzed and reflected upon to assess the quality of education in implementing schools. Students' numeracy skills can improve if they use reasoning to solve problems. Reasoning connects the concepts they hold with the context of the problem at hand. Reasoning results are used to interpret, analyze, and make decisions. The reasoning in question focuses on adaptive reasoning (reflection, explanation, and justification). Research was conducted to describe the adaptive reasoning of high school students through the answers of students who participated in a reasoning competition. The instrument used is a numeracy test. This research is qualitative with descriptive methods. Analysis was conducted on the three student answers that obtained the highest scores (purposive sampling) and focused on the fertilizer theme. This theme is presented in graphic form as a stimulus with two questions that students need to answer. The data analysis technique in this research involved reducing the data. The result obtained was that one student used aspects of adaptive reasoning (reflection, explanation, and justification) completely in answering questions. This indicates that this student can solve problems using adaptive reasoning. This student is said to have good numeracy skills because they can use adaptive reasoning.BAHASA INDONESIA ABSTRACT: Literasi dan numerasi menjadi salah satu fokus pada dunia pendidikan di Indonesia. Hal ini terlihat dari pelaksanaan Asesmen Kompetensi Minimum (AKM) yang menjadi bagian dari asesmen nasional dilakukan secara berkala sejak tahun 2021. Hasilnya dianalisis dan direfleksikan menjadi mutu pendidikan dari sekolah yang melaksanakan. Kemampuan numerasi siswa dapat dikatakan baik jika siswa dapat menggunakan nalarnya untuk menyelesaikan permasalahan. Penalarannya digunakan untuk mengaitkan antara konsep yang dimiliki dengan konteks masalah yang dihadapi. Hasil penalaran dimanfaatkan untuk menginterpresi, menganalisis, sampai mengambil keputusan. Penalaran yang dimaksud berfokus pada penalaran adaptif (reflecting, explaining, dan justifying). Penelitian dilakukan untuk mendeskripsikan penalaran adaptif siswa SMA melalui jawaban siswa yang mengikuti lomba nalaria. Intrumen yang digunakan adalah tes numerasi. Jenis penelitian pada penelitian ini adalah kualitatif dengan metode deskriptif. Analisis dilakukan pada tiga jawaban siswa yang memperoleh skor tertinggi (pusposive sampling) dan berfokus pada tema pupuk. Tema ini disajikan dalam bentuk grafik sebagai stimulus dan dua soal yang perlu dijawab siswa. Teknik analisis data pada penelitian ini dengan mereduksi data. Hasil yang diperoleh adalah satu siswa yang menggunakan aspek penalaran adaptif (reflecting, explaining, dan justifying) secara utuh dalam menjawab soal. Hal ini mengindikasikan bahwa siswa ini dapat dikatakan mampu menyelesaikan masalah dengan menggunakan penalaran adaptifnya. Siswa ini dikatakan memiliki kemampuan numerasi yang baik karena mampu mempergunakan penaralan adaptifnya.

PENDEKATAN MATEMATIKA REALISTIK UNTUK MENGOPTIMALKAN PEMAHAMAN KONSEP MATEMATIS SISWA [REALISTIC MATHEMATICS EDUCATION TO OPTIMIZE STUDENTS’ UNDERSTANDING OF MATHEMATICAL CONCEPTS] Yonathan, Andrew Billy; Seleky, Jacob Stevy
JOHME: Journal of Holistic Mathematics Education Vol. 7 No. 2 (2023): DECEMBER
Publisher : Universitas Pelita Harapan

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.19166/johme.v7i2.6233

Understanding mathematical concepts is one of the competencies in learning mathematics, but not all students possess this competency yet. To address this problem, the author implemented realistic mathematical education (RME) in mathematics learning to optimize students’ understanding of mathematical concepts. The purpose of the RME implementation was to optimize students’ mathematical concepts understanding. The research method used was a descriptive qualitative method, namely by examining an object in its natural condition. The implementation of RME in mathematics learning uses real-life problems by actively conditioning students to construct their understanding of mathematical concepts, while teachers play an active role as facilitators. The results showed that the implementation of RME in mathematics learning can optimize students’ understanding of mathematical concepts. Thus, it can be concluded that the implementation of RME in mathematics learning can optimize students' understanding of mathematical concepts.BAHASA INDONESIA ABSTRACT: Pemahaman konsep matematika merupakan salah satu kompetensi dalam pembelajaran matematika, tetapi kompetensi tersebut belum dimiliki oleh semua siswa. Terkait permasalahan tersebut, penulis menerapkan pendidikan matematika realistis (PMR) dalam pembelajaran matematika untuk mengoptimalkan pemahaman konsep matematis siswa. Oleh karena itu, tujuan dari makalah ini adalah untuk menjelaskan implementasi PMR untuk mengoptimalkan pemahaman konsep matematis siswa. Metode penelitian yang digunakan adalah metode kualitatif deskriptif, yaitu dengan meneliti suatu objek dalam kondisi alaminya. Implementasi PMR dalam pembelajaran matematika menggunakan masalah kehidupan nyata dengan secara aktif mengkondisikan siswa untuk mengkonstruksi pemahaman konsep matematisnya, sedangkan guru berperan aktif sebagai fasilitator. Hasil penelitian menunjukkan implementasi PMR dalam pembelajaran matematika dapat mengoptimalkan pemahaman konsep matematis siswa. Dengan demikian, dapat disimpulkan bahwa implementasi PMR dalam pembelajaran matematika dapat mengoptimalkan pemahaman konsep matematis siswa.

PENERAPAN MODEL PEMBELAJARAN DISCOVERY LEARNING BERBASIS SMARTPHONE UNTUK MENGUPAYAKAN MINAT BELAJAR PADA PEMBELAJARAN MATEMATIKA [APPLICATION OF SMARTPHONE-BASED DISCOVERY LEARNING MODELS TO CREATE INTEREST IN LEARNING MATHEMATICS] Purba, Joy Anwar; Dirgantoro, Kurnia Putri Sepdikasari
JOHME: Journal of Holistic Mathematics Education Vol. 7 No. 2 (2023): DECEMBER
Publisher : Universitas Pelita Harapan

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.19166/johme.v7i2.6386

The results of the PISA study in 2018 showed that the mathematics ability of Indonesian students was still in the low performance category. One of the factors that causes this is the lack of student interest in learning mathematics. Interest is very important because it is interest that encourages students to be active and act in learning. This study aims to see whether the application of a smartphone-based discovery learning model can help increase interest in learning mathematics. The research method used is a descriptive qualitative research method using several research instruments. This research was conducted in one of the schools in South Tangerang at the junior high school level. The instruments used by the authors are observation sheets and reflection sheets and mentor feedback sheets. The results of this study concluded that the application of a smartphone-based discovery learning model is able to effect student interest in learning, which is shown by an increased willingness to learn, pleasure in learning, and student participation.BAHASA INDONESIA ABSTRACT: Hasil studi PISA pada 2018 menunjukkan kemampuan matematika siswa Indonesia masih berada dalam kategori low performance. Salah satu faktor yang menyebabkan hal ini adalah kurangnya minat siswa terhadap pembelajaran matematika. Minat menjadi hal yang sangat penting karena minatlah yang mendorong siswa untuk aktif dan bertindak dalam pembelajaran. Penelitian ini bertujuan untuk melihat penerapan model pembelajaran discovery learning berbasis smartphone dapat membantu mengupayakan minat belajar pada pembelajaran matematika. Metode penelitian yang digunakan adalah metode penelitian kualitatif deskriptif dengan menggunakan beberapa instrumen penelitian. Penelitian ini dilakukan di salah satu sekolah swasta di Tangerang Selatan pada jenjang SMP. Instrumen yang digunakan oleh penulis adalah lembar observasi, lembar refleksi, dan lembar umpan balik mentor. Penelitian ini memberikan hasil bahwa penerapan model pembelajaran discovery learning berbasis smartphone mampu mengupayakan minat belajar siswa yang ditunjukkan dengan meningkatnya kemauan untuk belajar, rasa senang siswa dan partisipasi siswa.

AN INVESTIGATION INTO THE INTERVENTION STRATEGIES IMPLEMENTED BY EDUCATORS IN ENHANCING LEARNERS’ UNDERSTANDING OF NUMBER SENSE Hove, Netsai; Hendricks, Winston; Olawale, Babawande Emmanuel
JOHME: Journal of Holistic Mathematics Education Vol. 7 No. 2 (2023): DECEMBER
Publisher : Universitas Pelita Harapan

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.19166/johme.v7i2.7140

Global and country-specific mathematics performance constitutes a major challenge, both for educators and policymakers. Realisation of the African Union Agenda 2013 hinges significantly upon transformation of education. In this regard, mathematics and science education, specifically, are instruments for scientific and technological development to position Africa on the same level as the global league of continents in the future. It is, therefore, important to develop amongst learners a good understanding of a mathematical concept such as number sense from an early age, given that students who have a good sense of numbers can manipulate figures to simplify calculations and have the confidence to approach problems in a variety of ways. It is for this reason that the present study investigates the intervention strategies implemented by educators in enhancing learners’ understanding of number sense in the Ekurhuleni North District schools, Gauteng Province, South Africa. The study used a case study design and a qualitative research approach, both of which were supported by an interpretivist paradigm. The study made use of a semi-structured interview to gather data from mathematics teachers, learners, and a principal in the selected school. Research findings revealed that although mental computation, use of concrete props, use of the number line, and a counting strategy are some of the various strategies employed to enhance learners’ understanding of number sense, teachers need to develop a sound understanding of number sense and be flexible in their approaches in order to assist learners. Based on the findings, it was recommended that curriculum designers and teachers concentrate on teaching methods to help students develop learners’ number sense, as this can lead to potential mathematics success.

STUDENTS’ WAYS OF UNDERSTANDING AND THINKING BASED ON HAREL’S THEORY IN SOLVING SET PROBLEMS Samosir, Christina Monika; Herman, Tatang
JOHME: Journal of Holistic Mathematics Education Vol. 7 No. 2 (2023): DECEMBER
Publisher : Universitas Pelita Harapan

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.19166/johme.v7i2.7422

Ways of thinking (WoT) and Ways of Understanding (WoU) are important in learning mathematics. This study aims to analyze the characteristics of students' ways of thinking (WoT) and ways of understanding (WoU) when solving set problems. The participants in this study were 27 students in the seventh grade at a private secondary school in Bandung. Four students were selected as research subjects. The research method used is qualitative research. The instruments in this study were the researchers and the set material problem-solving test. The data collection technique in this study was carried out through a test, interviews, and documentation. The research results showed that the majority of students who were correct in their way of thinking were also correct in their way of understanding. And the majority of students who have the incorrect way of thinking also have the incorrect way of understanding. The study's results also indicated that the majority of student errors stemmed from a lack of proper understanding of the question and the concept of set theory.BAHASA INDONESIA ABSTRACT: Cara berpikir dan cara memahami merupakan hal yang penting dalam belajar matematika. Penelitian ini bertujuan untuk menganalisis karakteristik cara berpikir dan cara memahami siswa dalam menyelesaikan masalah himpunan. Partisipan pada penelitian ini adalah siswa kelas VII di salah satu SMP Swasta di Bandung berjumlah 27 partisipan. Empat siswa dipilih sebagai subjek penelitian. Metode penelitian yang digunakan adalah penelitian kualitatif. Instrumen dalam penelitian ini adalah peneliti sendiri dan tes pemecahan masalah materi himpunan. Teknik pengumpulan data dalam penelitian ini dilakukan dengan memberikan tes, wawancara dan dokumentasi. Hasil penelitian menunjukkan bahwa mayoritas siswa yang memiliki cara berpikir yang benar juga memiliki cara pemahaman yang benar. Dan mayoritas siswa yang memiliki cara berpikir yang salah juga memiliki cara pemahaman yang salah. Hasil penelitian juga menunjukkan bahwa sebagian besar kesalahan siswa disebabkan karena siswa kurang memahami soal dan konsep materi himpunan dengan baik.

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