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All Journal Jurnal Infinity Al-Jabar : Jurnal Pendidikan Matematika MATH-EDU: Jurnal Ilmu Pendidikan Matematika International Journal of Didactic Mathematics in Distance Education
García-García, Javier
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Education Mathematics

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Exploring junior high school students' geometry self-efficacy in solving 3D geometry problems through 5E instructional model intervention: A grounded theory study Sudirman, Sudirman; García-García, Javier; Rodríguez-Nieto, Camilo Andrés; Son, Aloisius Loka
Jurnal Infinity Vol 13 No 1 (2024): VOLUME 13, NUMBER 1, INFINITY
Publisher : IKIP Siliwangi and I-MES

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22460/infinity.v13i1.p215-232

Abstract

Geometry self-efficacy is an essential affective aspect that will influence students in solving mathematics problems, especially geometry material. Therefore, teachers must be able to develop learning instructions that not only affect students' mathematical abilities but also strengthen students' affective aspects. This research explores students' geometry self-efficacy when learning to solve three-dimensional geometry problems through the 5E Instructional Model intervention. A grounded theory design was used to reveal the aims of this research. Participants in this research were one mathematics teacher and 22 students (12 girls and 10 boys) in class VIII at a state Junior High School in Indramayu Regency, Indonesia. The research involved the qualitative analysis of gathered data obtained through observation, questionnaires, interviews, and documentation, employing grounded theory analysis techniques, including open coding, axial coding, and selective coding. The findings revealed that students with high self-efficacy in geometry display confidence in describing and calculating the surface area and volume of three-dimensional geometric objects. Those with moderate self-efficacy in geometry are self-assured in addressing straightforward assignments but may need more confidence in tackling more complex tasks. Conversely, students with low self-efficacy in geometry tend to need more confidence and are prone to giving up easily. Therefore, this research emphasizes that the geometry self-efficacy level can influence how students act and complete 3D geometry tasks given by teachers in learning, especially 3D geometry learning.
Mathematical concepts and cultural values in guest reception traditions: an ethnomathematic study of the Dawan Tribe Community on The Timor Island Bantaika, Aris; Son, Aloisius Loka; Ndapa Deda, Yohanis; Garcia-Garcia, Javier
International Journal of Didactic Mathematics in Distance Education Vol. 2 No. 1 (2025): ijdmde
Publisher : Universitas Terbuka

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.33830/ijdmde.v2i1.9702

Abstract

The aim of this study is to explore mathematical concepts and cultural values in the reception traditions of the Dawan tribe (Atoni Meto). The research method used is qualitative research with an ethnographic approach. The research subjects were three informants and the research objects were music, dance and handicrafts. The instruments used in this research were observation, interviews and documentation. The results of the research show that (1) there are mathematical concepts in the arts of music, dance and handicrafts in the reception traditions of the Atoni Meto tribe, including; flat shapes (Square, Circle, Rectangle, Rhombus, Triangle), spatial shapes (Cone, Cylinder and Cuboid), the Concept of Lines and Sets, and (2) Cultural values contained in hitting the gong (Leku Sene) namely as a guide and a sign of joy, dancing (Sbo'ot) symbolizes joy, traditional speech (Natoni) as a form of respect and continuity of bond, repetition as a sign of brotherly bonds, eating betel-nut (M'pua) as unity and a sign of conveying goals and eating together as unity.
GeoGebra-Assisted discovery learning: an effective strategy to enhance elementary students' interest in learning plane area measurement Basri, Hasan; García-García, Javier; Rodríguez-Nieto, Camilo Andrés; Rifanda, Akhmad Riski; Indahwati, Rohmah
International Journal of Didactic Mathematics in Distance Education Vol. 2 No. 1 (2025): ijdmde
Publisher : Universitas Terbuka

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.33830/ijdmde.v2i1.11272

Abstract

This study aimed to examine the difference in learning interest between students taught using the Discovery Learning model assisted by GeoGebra and those taught using conventional methods. The research employed an experimental method with a Posttest-Only Control Group Design, where the VA class acted as the experimental group and the VB class as the control group, each with 33 students. Data were collected using a learning interest questionnaire. The data was analyzed statistically by first carrying out normality and homogeneity tests on the data before carrying out the t-test. The results showed that the average learning interest score in the experimental group was in the very good category, while in the control group it was in the good category. The results of hypothesis testing with a significance level of 0.05 show that the Discovery Learning model assisted by GeoGebra has a significant effect on students' interest in learning, with this model generating higher interest compared to conventional learning methods.
Errors and Their Causes in Solving One-Variable Linear Equations Among Mexican High School Students Morales-Benitez, Leineri; Salgado-Beltrán, Gerardo; Son, Aloisius Loka; García-García, Javier
MATH-EDU: Jurnal Ilmu Pendidikan Matematika Vol. 10 No. 1 (2025): MATH-EDU: Jurnal Ilmu Pendidikan Matematika
Publisher : Program Studi Pendidikan Matematika, Fakultas Ilmu Pendidikan, Universitas Timor

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.32938/jipm.v10i1.9391

Abstract

The aim of this study was to identify the errors made by a group of Mexican High School students when solving linear equations, as well as their possible causes. Data collection was conducted through a task-based interview administered to 30 students from a public school in southern Mexico. The results revealed that students made arithmetic errors when solving linear equations, including difficulties in performing operations with integers, handling fractions, applying the distributive property, and transposing terms incorrectly. By analyzing students' reasoning, it was inferred that these errors stem mainly from poor assimilation of arithmetic concepts, affective and emotional factors, and the presence of cognitive obstacles. Additionally, both procedural and conceptual algebraic errors were identified. According to the conceptual framework, these errors originate from limited manipulation of algebraic language, incorrect application of procedural rules, and didactic and cognitive obstacles. These findings encourage reflection on future research aimed at improving the learning of linear equations at the high school level.
Tracing students understanding and misconceptions of continuity and differentiability through multi representations of mathematical problem Arsyad, Nurdin; Ikram, Muhammad; Alimuddin, Fauziyyah; Nisa, Khaerun; Sosa-Moguel, Landy; Garcia-Garcia, Javier
Al-Jabar: Jurnal Pendidikan Matematika Vol 17 No 1 (2026): Al-Jabar : Jurnal Pendidikan Matematika
Publisher : Universitas Islam Raden Intan Lampung, INDONESIA

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24042/ajpm.v17i1.29062

Abstract

Purpose: This study investigates undergraduate students’ understanding and misconceptions concerning continuity and differentiability across multiple mathematical representations. It specifically examines whether misconceptions remain stable or shift when concepts are presented in symbolic, graphical, and contextual forms. Method: A qualitative exploratory case study was conducted involving 83 undergraduate mathematics education students at a leading public university in Indonesia. Data were collected using 11 validated and reliable multiple-choice items designed to elicit reasoning across different representations. Students’ written responses were analyzed to identify patterns of understanding and error. In-depth interviews with selected participants were conducted to clarify underlying reasoning processes. A collective case study framework was employed, treating each representation as a micro case to enable systematic cross-representation comparison. Findings: The results indicate that misconceptions were widespread and often consistent across representations. Common errors included interpreting graphical smoothness as proof of differentiability, assuming differentiability without verifying continuity, and conflating the existence of a limit with the function’s value. Many students relied on procedural manipulation, visual intuition, or contextual familiarity rather than formal limit-based reasoning, revealing fragmented conceptual understanding. Significance: The findings highlight the need for instructional approaches that explicitly integrate multiple representations and strengthen connections between intuitive reasoning and formal definitions. By addressing persistent misconceptions across representations, calculus instruction can better support the development of coherent and conceptually grounded mathematical understanding.
Co-Authors Alimuddin, Fauziyyah Aloisius Loka Son Bantaika, Aris Deda, Yohanis Ndapa Hasan Basri Ikram, Muhammad Indahwati, Rohmah Morales-Benitez, Leineri Nisa, Khaerun Nurdin Arsyad, Nurdin Rifanda, Akhmad Riski Rodríguez-Nieto, Camilo Andrés Salgado-Beltrán, Gerardo Sosa-Moguel, Landy Sudirman Sudirman