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Decoding Student Struggles in Geometry: Newman Error Analysis of Higher-Order Thinking Skills
Kania, Nia;
Kusumah, Yaya S.;
Dahlan, Jarnawi Afgani;
Nurlaelah, Elah;
Kyaruzi, Florence
International Journal of Geometry Research and Inventions in Education Vol. 1 No. 1 (2024)
Publisher : EDUPEDIA Publisher
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DOI: 10.56855/gradient.v1i01.1146
Maths is one of the most challenging courses for many pupils. Maths is often the most complex subject for many students. Newman's Error Analysis analyses eighth-graders math problems. Assessing higher-order cognitive ability is the primary purpose. This qualitative study was conducted in a Majalengka, West Java, junior high. Five randomly selected kids with different math skills participated. Following up with interviews and testing Bloom's taxonomy's latest HOTS signal questions were the critical data collection approaches. These questions test analytical (C4), evaluative (C5), and creative (C6) skills. Students had to model, sketch, confirm geometric calculations, and calculate dimensions using available components. Newman's Error Analysis was applied to analyse typical misunderstandings and errors. This exercise showed students' geometric reasoning and problem-solving weaknesses. The findings suggest customised teaching methods to improve students' geometric knowledge and performance. Reducing data, presenting facts, and concluding helped us comprehend pupils' cognitive processes and geometric challenges.
Improving mathematical proof based on computational thinking components for prospective teachers in abstract algebra courses
Nurlaelah, Elah;
Pebrianti, Aneu;
Taqiyuddin, Muhammad;
Dahlan, Jarnawi Afgani;
Usdiyana, Dian
Jurnal Infinity Vol 14 No 1 (2025): VOLUME 14, NUMBER 1, INFINITY
Publisher : IKIP Siliwangi and I-MES
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DOI: 10.22460/infinity.v14i1.p85-108
Understanding and constructing mathematical proofs is fundamental for students in abstract algebra courses. The computational thinking approach can aid the process of compiling mathematical proofs. This study examined the impact of integrating computational thinking components in constructing mathematical proofs. The researcher employed a sequential explanatory approach to ascertain the enhancement of algebraic proof capability based on computational thinking through the t- test. A total of 32 prospective teachers in mathematics education programs were provided with worksheets for seven meetings, which were combined with computational thinking components. Quantitative data were collected from initial and subsequent test instruments. Moreover, three prospective teachers were examined through case studies to investigate their mathematical proof capability using computational thinking components, including decomposition, abstraction, pattern recognition, and algorithmic thinking. The study's findings indicated that CT intervention enhanced students' logical reasoning, proof-writing abilities, and overall engagement with abstract algebra concepts. The findings illustrate that integrating computational thinking into learning strategies can provide a framework for developing higher-order thinking skills, especially in proving, which are essential for studies in mathematics education programs.
Geometry in Ethnomathematics Research Publication: Bibliometric Analysis
Supriyadi, Edi;
Turmudi;
Jarnawi Afgani Dahlan;
Dadang Juandi
International Journal of Mathematics and Mathematics Education (IJMME) Vol. 1 No. 1 (2023)
Publisher : EDUPEDIA Publisher
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DOI: 10.56855/ijmme.v1i1.218
This study examines the implementation of ethnomathematics in geometry, in addition to the challenges and benefits of this approach. This study also emphasizes the dearth of bibliometric studies in this area and provides a Scopus-based bibliometric analysis of research on geometry in ethnomathematics. This study examines the evolution of research publications, the most cited articles, the most prolific writers, and current trends in research. This paper uses bibliometric analysis using Rstudio Biblioshiny as its methodology. The study discovered that studying geometry from an ethnomathematics perspective provides benefits such as enhancing learning interaction activities and conceptual comprehension. However, the lack of understanding about the ethnomathematics approach and how to incorporate it into teaching geometry, the teacher's lack of knowledge about geometry content knowledge, and the teacher's aversion to change are impediments to the use of this technique. Researchers that desire to discover research gaps for future studies are anticipated to find this study's findings valuable.
Eksplorasi Sentimen dan Emosi Siswa SMA terhadap Matematika: Terkait dengan Hasil Belajar
Silitonga, R. H. Yanti;
Dasari, Dadan;
Dahlan, Jarnawi Afgani
Jurnal Gantang Vol 9 No 2 (2024): Jurnal Gantang
Publisher : Universitas Maritim Raja Ali Haji
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DOI: 10.31629/jg.v9i2.7456
Mathematics research often focuses only on students' learning outcomes without considering their emotional aspects. This study aims to describe the tendency of students' sentiment toward mathematics in general and partially based on mathematics learning outcome groups, namely high, medium, and low. In addition, a mood analysis was conducted using Ekman's Basic Emotion classification. Data collection techniques are questionnaires and documentation. The questionnaire contains open questions about students' opinions on mathematics and closed to queries for student demographics. Documentation is done by collecting test scores from student grade books. This study used a descriptive method with data in the form of 72 comments from grade XI high school students in Bandung City, which were analyzed using the Orange Application Sentiment Analysis. The results of the study showed that (1) student sentiment was generally dominated by positive sentiment at 72.22%, (2) positive sentiment also dominated the groups of students with high, medium, and low learning outcomes, with a percentage of more than 68%, and (3) the results of the classification of emotions based on Ekman's Basic Emotion indicated that "joy" was the most dominant emotion, while "anger" had the lowest frequency of occurrence. This study provides new insights regarding students' emotional aspects in mathematics learning, which can be used to improve teaching strategies.
Analysis Prospective Mathematics Teachers’ Lesson Planning: A Praxeological-Didactical Theory
Musyrifah, Eva;
Suryadi, Didi;
Cahya, Endang;
Dahlan, Jarnawi Afgani
Southeast Asian Mathematics Education Journal Vol 14, No 2 (2024)
Publisher : SEAMEO Regional Centre for QITEP in Mathematics
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DOI: 10.46517/seamej.v14i2.431
A high quality of lesson planning is the key to achieving effective learning. One of the characteristics of effective learning is that it minimizes learning obstacles. This study aims to explore an Indonesian prospective mathematics teacher’s lesson planning and identify its learning obstacles. Data was analyzed from the lesson plan document of prospective mathematics teacher students carrying out teaching practices at one of the high schools in Jakarta. Analysis was done using the praxeological-didactical (PDA) method. PDA offers space to analyze human actions, such as lesson plans. Four types of tasks are presented in the lesson plan on drawing graphs of quadratic functions. The predicted learning obstacles identified from the lesson plan are (1) epistemological obstacles, caused by the limitations of certain contexts; (2) ontogenic obstacles, caused by the presentation of tasks due to inappropriate prerequisites; and (3) didactic obstacles, caused by tasks that are not relevant to the next task. The implication is that the results of the study can be used to improve a quality lesson plan, and the use of a PDA can be a consideration for prospective mathematics teachers when designing a quality lesson plan.
How does interactive case-based learning improve students' complex mathematical problem-solving abilities?
Miftah, Ramdani;
Dahlan, Jarnawi Afghani;
Kurniawati, Lia;
Herman, Tatang;
Lutfiana, Lutfiana
Journal of Honai Math Vol. 7 No. 2 (2024): Journal of Honai Math
Publisher : Universitas Papua
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DOI: 10.30862/jhm.v7i2.622
Complex Mathematical Problem Solving (CMPS) is a crucial competency that equips students to navigate uncertain future situations. To enhance this skill, there is a need for more effective instructional models. One promising approach is Interactive Case-Based Learning (ICBL), an advanced iteration of the Case-Based Learning model. ICBL engages students with intricate real-world cases, enabling them to grasp mathematical concepts and adapt to novel and unfamiliar scenarios encountered in everyday life. This study aims to evaluate students' CMPS abilities following participation in ICBL-based instruction and to assess their responses to this instructional approach. A quasi-experimental design was employed, involving an experimental group and a control group. The participants were seventh-grade students studying sequences and series. The research utilized ICBL-based teaching materials, CMPS ability tests, and student response questionnaires. The study's findings are that students instructed using the ICBL model demonstrated superior CMPS abilities compared to those instructed using traditional methods, and students responded positively to the ICBL instructional model in mathematics learning. This research underscores that the ICBL model can significantly enhance students' ability to solve complex problems. Consequently, educators should consider incorporating the ICBL model into their teaching strategies, and curricula should be adapted to support its implementation.
BIBLIOMETRIC ANALYSIS FROM LOCAL INSTRUCTION THEORY RESEARCH
Edi Supriyadi;
Jarnawi Afgani Dahlan;
Darhim Darhim;
Dadang Juandi
Journal on Mathematics Education Research (J-MER) Vol 3, No 2 (2022)
Publisher : Departemen Pendidikan Matematika, FPMIPA, UPI
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DOI: 10.17509/j-mer.v3i2.49316
A field known as bibliometrics is one that allows for the evaluation of different scientific publications using a variety of different indicators. The purpose of this research is to carry out a bibliometric analysis of the amount of work that has been done in the field of local instruction theory between the years 2009 and 2020. All of the journal articles that were retrieved from the Scopus database between the years 2009 and 2020 were incorporated. As bibliographic indicators, we used things like the number of publications, the most productive institutions, the type of collaboration, the most productive countries, the most cited papers, and authors who had the highest overall academic production. It is then sent to the SciVal tools in order to undergo analysis. The research on local teaching theory was drawn from a total of 29 published publications, with 50 different writers contributing to the collection of 41 citations. The most documents have been produced in Indonesia, which is the world's largest country. The institution that has the biggest scientific influence and production is Sriwijaya University, which also has the highest scientific production. Ratu Ilma Indra Putri is the author who has had the most manuscripts published throughout the course of her career. Last but not least, the majority of articles involve collaboration between institutions. Local instruction theory research is still new and hasn't made a global impact. Academics can submit relevant article citations, putting them at the forefront of the latest research.
PENERAPAN PENDEKATAN PENDIDIKAN MATEMATIKA REALISTIK INDONESIA UNTUK PENCAPAIAN KEMAMPUAN PENALARAN INDUKTIF MATEMATIS SISWA
Adzni Nurul Fajriani;
Jarnawi Afgani Dahlan;
Dian Usdiyana
Journal on Mathematics Education Research (J-MER) Vol 1, No 1 (2020)
Publisher : Departemen Pendidikan Matematika, FPMIPA, UPI
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DOI: 10.17509/j-mer.v1i1.24571
Penelitian ini bertujuan untuk: 1) Mengkaji perbedaan pencapaian kemampuan penalaran induktif matematis antara siswa yang memperoleh pembelajaran dengan pendekatan PMRI dan siswa yang memperoleh pembelajaran dengan pendekatan saintifik; 2) Mengetahui sikap siswa terhadap pembelajaran matematika dengan menggunakan pendekatan PMRI; 3) Mengkaji jenis-jenis kesalahan yang dilakukan siswa dalam menyelesaikan soal-soal penalaran induktif matematis. Penelitian ini menggunakan metode kuasi eksperimen dengan desain penelitian post-test only control group design. Populasi pada penelitian ini adalah siswa kelas VIII di salah satu SMP Negeri di Kota Bandung. Sampel yang terpilih adalah siswa kelas VIII-B dan siswa kelas VIII-D. Instrumen yang digunakan adalah tes kemampuan penalaran induktif matematis, angket sikap siswa, dan lembar observasi. Intrumen tes berupa soal uraian sesuai dengan indikator dari kemampuan penalaran induktif memiliki reliabilitas dengan kategori sedang. Data yang digunakan untuk menganalisis pencapaian kemampuan penalaran induktif adalah nilai postes kedua kelas dengan bantuan software SPSS 23. Hasil penelitian menunjukkan bahwa 1) Terdapat perbedaan pencapaian kemampuan penalaran induktif matematis antara siswa yang memperoleh pembelajaran dengan pendekatan PMRI dan siswa yang memperoleh pembelajaran dengan pendekatan saintifik; 2) Siswa menunjukkan sikap positif terhadap pembelajaran matematika dengan menggunakan pendekatan PMRI; 3) Kesalahan-kesalahan yang dilakukan siswa dalam menyelesaikan soal-soal penalaran induktif matematis diantaranya: Kesalahan memahami soal, Kesalahan konsep, Kesalahan prinsip/ langkah pengerjaan soal, dan Kesalahan operasi.
METAKOGNISI DAN KEMANDIRIAN BELAJAR SISWA SEKOLAH MENENGAH PERTAMA DALAM MEMBACA BUKU MATEMATIKA MATERI KOORDINAT CARTESIUS
Dina Khanifatul Ardhilah;
Jarnawi Afgani Dahlan;
Ade Rohayati
Journal on Mathematics Education Research (J-MER) Vol 1, No 1 (2020)
Publisher : Departemen Pendidikan Matematika, FPMIPA, UPI
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DOI: 10.17509/j-mer.v1i1.24567
Penelitian ini bertujuan untuk melakukan pengkajian tentang metakognisi dan kemandirian belajar siswa Sekolah Menengah Pertama (SMP) dalam membaca buku matematika materi koordinat Cartesius. Penelitian dilakukan dengan penelusuran terhadap fenomena yang terjadi pada tiga orang subjek penelitian yang dipilih dari siswa kelas VII di salah satu SMP Negeri di Kota Bandung. Indikator yang menandakan bahwa telah berlangsungnya proses metakognisi pada diri siswa dalam membaca buku matematika, yakni mampu: (a) mengungkapkan kembali hal-hal yang dimengerti dari apa yang telah dibaca; (b) ketika menemukan bagian dari bacaan yang membuatnya tidak memahami bacaan, siswa berusaha mencari solusi dari ketidakmengertian yang dideteksi; (c) mengkonstruksi definisi sederhana yang dibuat sendiri berdasarkan pengertian-pengertian unsur yang terkandung dalam suatu hal yang didefinisikan tersebut; dan (d) menjawab soal-soal yang menguji pemahaman. Hasil penelitian menunjukkan bahwa: siswa yang berprestasi tinggi dalam mata pelajaran matematika memiliki hasil penilaian yang tinggi untuk keempat indikator metakognisi, serta kemandirian belajar yang sangat baik; siswa yang berprestasi sedang dalam mata pelajaran matematika memiliki hasil penilaian yang sedang pada indikator (c) tetapi tinggi pada tiga indikator lainnya, serta kemandirian belajar yang baik; siswa yang berprestasi rendah dalam mata pelajaran matematika memiliki hasil penilaian yang rendah pada indikator (a) dan (b), tetapi sedang pada dua indikator lainnya, serta kemandirian belajar yang kurang.
Mathematical Critical Thinking Ability of Grade IX Students in Solving Ill-Structured Problems
Umbara, Hanifa Dina Aulia Dewi;
Jupri, Al;
Dahlan, Jarnawi Afgani
Formatif: Jurnal Ilmiah Pendidikan MIPA Vol 15, No 1 (2025): Formatif: Jurnal Ilmiah Pendidikan MIPA
Publisher : Lembaga Penelitian dan Pengabdian Masyarakat Universitas Indraprasta PGRI
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DOI: 10.30998/formatif.v15i1.27337
Students' mathematical critical thinking ability (MCTA) in Indonesia is still low, and one contributing factor is that students are not accustomed to solving non-routine problems, including ill-structured problems. This research aimed to explore the mathematical critical thinking ability (MTCA) in solving ill-structured using a qualitative approach with a case study method. This research involved 24 grade IX students from a junior high school in Bandung City, Jawa Barat Province, who had learned quadratic equations. Data were collected through a written test on MCTA and follow-up interviews. The results reveal that students fail to meet the MCTA indicators due to their lack of practice in solving contextual problems on quadratic equations and ill-structured problems. In addition, to gain a deeper understanding of mathematical critical thinking ability and the ability to solve ill-structured problems, future researchers could use two separate instruments, as these abilities involve distinct cognitive processes: convergent thinking and divergent thinking.