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Strategies to Minimize Students’ Learning Obstacle in Fractions: A Grounded Theory Isnawan, Muhamad Galang; Suryadi, Didi; Turmudi, Turmudi
Jurnal Pendidikan MIPA Vol 23, No 1 (2022): Jurnal Pendidikan MIPA
Publisher : FKIP Universitas Lampung

Show Abstract | Download Original | Original Source | Check in Google Scholar

Abstract

: Fractions are a fundamental mathematical concept that is quite important for life. However, the existing facts prove that fraction concepts in mathematics are a problem that has become a learning obstacle for students in schools. Therefore, this study aims to find alternative strategies to minimize the learning obstacle. The researcher then used a grounded theory design to find this strategy. Researchers also combined research design with phenomenology to find the core categories. Researchers used systematic analysis (open, axial, and selective), combined with thematic analysis with NVivo-12. The analysis results revealed that ontogenic in the form of participants were unable to simplify, determine equivalent fractions, and carelessness was the most significant learning obstacle. The strategy obtained was the use of a didactic design based on a didactical situation in collaboration with didactical design research, which would minimize student learning barriers on fractions. Keywords: fractions, learning obstacle, grounded theory, phenomenology, didactical situation. DOI: http://dx.doi.org/10.23960/jpmipa/v23i1.pp87-99
Strategies to Minimize Students’ Learning Obstacle in Fractions: A Grounded Theory Isnawan, Muhamad Galang; Suryadi, Didi; Turmudi, Turmudi
Jurnal Pendidikan MIPA Vol 23, No 1 (2022): Jurnal Pendidikan MIPA
Publisher : FKIP Universitas Lampung

Show Abstract | Download Original | Original Source | Check in Google Scholar

Abstract

Fractions are a fundamental mathematical concept that is quite important for life. However, the existing facts prove that fraction concepts in mathematics are a problem that has become a learning obstacle for students in schools. Therefore, this study aims to find alternative strategies to minimize the learning obstacle. The researcher then used a grounded theory design to find this strategy. Researchers also combined research design with phenomenology to find the core categories. Researchers used systematic analysis (open, axial, and selective), combined with thematic analysis with NVivo-12. The analysis results revealed that ontogenic in the form of participants were unable to simplify, determine equivalent fractions, and carelessness was the most significant learning obstacle. The strategy obtained was the use of a didactic design based on a didactical situation in collaboration with didactical design research, which would minimize student learning barriers on fractions.Keywords: fractions, learning obstacle, grounded theory, phenomenology, didactical situation.DOI: http://dx.doi.org/10.23960/jpmipa/v23i1.pp87-99
Analisis Hambatan Belajar Mahasiswa dalam Perkalian Pecahan: Sebuah Studi Hermeneutics Phenomenology di Perguruan Tinggi Isnawan, Muhamad Galang; Alsulami, Naif Mastoor; Rusmayadi, Muh.; Samsuriadi, Samsuriadi; Sudirman, Sudirman; Yanuarto, Wanda Nugroho
Edumatica : Jurnal Pendidikan Matematika Vol 13 No 1 (2023): Edumatica: Jurnal Pendidikan Matematika (April 2023)
Publisher : Department of Mathematics Education, Faculty of Teacher Training and Education, Universitas Jambi

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22437/edumatica.v13i01.24190

Abstract

Multiplication of fractions is one of the operations on fractions that tends to be easy, but it becomes a problem for students. Only a little previous research has examined the multiplication of fractions and the factors that cause this problem at the tertiary level. This study aims to describe the factors that cause problems in terms of the types of learning barriers that students experience. The research design is hermeneutics phenomenology. The participants in this study were 15 students aged 18-25 years, 7 boys and 8 girls, 9 students majoring in natural sciences during high school, and 6 students from social studies majors. The researcher is the main instrument, with a fraction multiplication test consisting of 2 questions developed by NCTM and a semi-structured interview guide as an additional instrument. Data is processed using NVivo-12-assisted thematic analysis to simplify the coding process. The study revealed that students experienced more learning difficulties when working on non-routine fraction multiplication problems. For routine problems, students experience learning difficulties with the type of ontogenic obstacle that is psychological (not careful). For non-routine problems, students experience learning barriers with epistemological types because they rarely work on word problems, as well as ontogenic obstacles that are conceptual and psychological.
Pembelajaran Pola Bilangan di SMP: Sebuah Aktivitas Lesson Study Berbasis Didactical Design Research Isnawan, Muhamad Galang; Alsulami, Naif Mastoor; Bonyah, Ebenezer; Dejarlo, Jenisus O.; Sudirman, Sudirman
Edumatica : Jurnal Pendidikan Matematika Vol 14 No 1 (2024): Edumatica: Jurnal Pendidikan Matematika (April 2024)
Publisher : Department of Mathematics Education, Faculty of Teacher Training and Education, Universitas Jambi

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22437/edumatica.v14i01.28645

Abstract

Number patterns were one of the mathematical concepts that were studied in junior high school. This concept was useful, but students tended to experience problems when learning it. Quite a lot of research has studied number patterns, but not many have attempted to study alternative solutions to optimize problem-solving abilities and learning motivation, especially using lesson study activities based on didactical design research. Therefore, this research aimed to optimize students’ problem-solving abilities and learning motivation with the preparation of didactic designs through lesson study activities. This research was conducted at a private junior high school in Mataram, Indonesia. Participants in this research were ten class VIII students (six boys and four girls). The researcher was the main instrument, with several additional instruments, such as learning design, observation sheets on problem-solving abilities and learning motivation, as well as documentation studies. The data were analyzed using qualitative data analysis. The research results revealed that the number pattern learning design was able to optimize problem-solving abilities and student learning motivation. Several factors that caused these positive results were the existence of contextual problems as trigger situations in learning and learning activities adapted to students’ hobbies. The recommendation from this research was that learning design should be prepared using didactical design research based on lesson study.
Eksplorasi Kebutuhan Perkuliahan Kalkulus pada Kelas Kolaboratif: Apakah Integrasi Virtual Reality Berbasis Etnomatika Diperlukan? Gunadi, Farid; Isnawan, Muhamad Galang; Rusmayadi, Muh.; Santosa, Farah Heniati; Nurafifah, Luthfiyati; Mulyana, Diki; Alsulami, Naif Mastoor
Edumatica : Jurnal Pendidikan Matematika Vol 14 No 2 (2024): Edumatica: Jurnal Pendidikan matematika (Agustus 2024)
Publisher : Department of Mathematics Education, Faculty of Teacher Training and Education, Universitas Jambi

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22437/edumatica.v14i2.35707

Abstract

Integral calculus is an important course, but it often becomes a problematic phenomenon for students, even in collaborative learning settings. Various types of research have been conducted to examine this phenomenon, one of which is phenomenology. The purpose of this study is to analyze the experiences of students in collaborative integral calculus courses. The study involved two program chairs, two lecturers, and nineteen prospective mathematics teachers from programs in Indramayu and Mataram, Indonesia. The main instrument in this study was the researcher, supported by additional tools such as program observation sheets, lecturer interview guides, and student questionnaires. The research data were analyzed using thematic analysis. The findings revealed several challenges in the course, such as students' lack of readiness for online learning and visualization, the short duration of discussion videos that were not yet linked to real-world contexts, and unstable internet connections. Although the outcomes of collaborative learning have not surpassed those of conventional methods, there are several advantages, such as students being able to replay discussion videos and gain new peers. This study recommends that collaborative learning should utilize virtual reality based on ethnomathematics, increase the number of discussion videos, and strengthen students' prerequisite knowledge to better meet the needs in integral calculus courses.
Optimizing students’ mathematical problem-solving abilities through geoboard-assisted didactic design on triangular number pattern material Isnawan, Muhamad Galang; Sudirman, Sudirman; Sukarma, I Ketut; Wahyuni, Fitry; Alsulami, Naif Mastoor
Journal of Didactic Mathematics Vol 4, No 3 (2023): December
Publisher : Mahesa Research Center

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.34007/jdm.v4i3.2073

Abstract

The research aimed to optimize students’ mathematical solving abilities through the implementation of a didactic design developed based on lesson study activities on triangular number patterns. The research design used was didactical design research. Participants in the study were 10 students (12–15 years old) at a junior high school in Mataram, Indonesia. The researcher was the main instrument, with several additional instruments, one of which was the didactic hypothesis design. The data were analyzed using qualitative analysis. The research results revealed an increase in students’ mathematical problem-solving abilities during the implementation of didactic design on triangular number pattern material. However, the increase that occurred was less than optimal. This increase resulted from the didactic design encouraging students to use Quizizz, geoboards, and inspirational videos to solve problems. However, when watching inspirational videos and Quizizz, there were problems, such as an unstable internet connection, so activities that should have been done in groups were done collectively for one class.
Significance and Process of Fraction Concept Comprehension: A Study of Learning Constraints from the Perspective of Mathematics Instructors Alsulami, Naif Mastoor; Galang Isnawan, Muhamad
Panicgogy International Journal Vol. 1 No. 1 (2023): PIJ
Publisher : Nashir Al-Kutub Indonesia

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.59965/pij.v1i1.37

Abstract

Conversion of mixed numbers into improper fractions was one of the challenging formulaic issues in fraction learning that posed problems in education. However, there were not many studies investigating this conversion. Furthermore, few studies have attempted to provide solutions regarding this conversion issue. Therefore, this study aimed to identify the learning constraints students experienced when converting mixed numbers into improper fractions and offer alternative solutions to minimize these learning obstacles. The research design used to achieve this goal was didactical design research (DDR). DDR was chosen as it employed the identified learning constraints to develop didactic designs in fraction learning. Participants in this study were mathematics teachers aged 26, with less than five years of teaching experience. The primary instrument in this research was the researcher, using several supplementary tools such as a fraction comprehension test, interview guidelines, and didactic designs. Data were subsequently analyzed using qualitative data analysis. The research findings revealed that students were indicated to encounter learning obstacles of an epistemological nature, as they seldom initiated learning with real-life problems. The proposed solution in the didactic design was using problems as initial situations in learning, which would then be responded to by students in the form of didactic conditions. The recommendation offered in this study is implementing the didactic design itself.
Praxology in advanced geometry textbooks for distance education: A hermeneutic review of structure and knowledge representation Noviyanti, Mery; Sudirman, Sudirman; Kandaga, Thesa; Ramdhani, Sendi; Isnawan, Muhamad Galang
Journal of Advanced Sciences and Mathematics Education Vol. 5 No. 2 (2025): Journal of Advanced Sciences and Mathematics Education
Publisher : CV. FOUNDAE

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.58524/jasme.v5i2.840

Abstract

Background: Geometry plays a fundamental role in mathematics education by developing logical reasoning and spatial understanding. Despite its importance, geometry remains a difficult subject for university students, particularly in distance learning contexts. While several studies have analyzed geometry textbooks, few have examined their knowledge structures through a praxeological perspective. Aim: This study aims to analyze a university-level Euclidean geometry textbook by identifying how the components of praxeology, namely task (T), technique (τ), technology (θ), and theory (Θ), are organized and interconnected to support meaningful learning. Method: The research applied a hermeneutic phenomenological design. The textbook, used in a master’s geometry course at an Indonesian university, was analyzed through repeated readings and qualitative interpretation. Data were coded and categorized according to the praxeological framework and validated through researcher discussions. Result: The findings show that the textbook demonstrates a coherent praxeological structure with accurate theoretical explanations and effective technological representations. However, the analysis revealed weaknesses such as limited rationale for applying specific techniques, insufficient connection between theoretical concepts and exercises, and few examples of proofs. Conclusion: The study concludes that while the textbook reflects strong praxeological principles, improvements are needed in clarifying technique rationales, linking theory and practice, and structuring technological components. The results provide pedagogical insights for developing university geometry textbooks that enhance conceptual understanding, reflective reasoning, and learning effectiveness in both traditional and distance education settings.
Pengolahan Hasil Asesmen dan Penyusunan Rapor untuk Sekolah Penggerak Isnawan, Muhamad Galang; Samsuriadi, Samsuriadi; Bahri, Samsul; Shantika, Evana Gina; Indrawati, Indrawati; Lume, Lume; Burhanudin, Burhanudin
Jurnal ABDINUS : Jurnal Pengabdian Nusantara Vol 7 No 2 (2023): Volume 7 Nomor 2 Tahun 2023
Publisher : Universitas Nusantara PGRI Kediri

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.29407/ja.v7i2.19082

Abstract

Sekolah Penggerak are schools that are required to implement the Kurikulum Merdeka. One obstacle that Sekolah Penggerak experienced in implementing the Kurikulum Merdeka is the low competence of school principals and teachers in compiling and processing assessment results and report cards. Workshops are a relatively effective way of developing the competence of school principals and teachers. Therefore, this service aims to strengthen the competence of school principals and teachers regarding assessments and report cards through workshop activities. The workshop was also chosen because it involves direct interaction with participants through relevant worksheets. The participants of the workshop were eighteen people consisting of three junior high school principals, three high school principals, six teachers of the junior high school, and six teachers of the high school who were members learning committee. Workshop activities are carried out for eight lesson hours using worksheets from the government. Data were analyzed using qualitative data analysis. The dedication results show that the workshop activities are going well, especially the discussion activities. Although, the time allocation for activities tends to be more. In general, each school has been able to prepare assessments well, although it is still constrained in making criteria for achieving learning objectives. In addition, the assessment editor designed by the school still needs to be more optimal because there are still schools that compile an assessment rubric for that section. Likewise, when processing the assessment results, it was found that schools needed to be able to formulate a formula to determine student scores. In contrast to the previous results, when participants compiled report cards, information was obtained that all schools could prepare report cards properly, including in compiling descriptions related to student competency achievements.