Southeast Asian Mathematics Education Journal
The Journal invites original research articles and not simultaneously submitted to another journal or conference. The whole spectrum of research in mathematics education are welcome, which includes, but is not limited to the following topics: Realistic Mathematics Education Realistic Mathematics Education (RME) is a teaching and learning theory in mathematics education that was first introduced and developed by Freudenthal. There are two important points in RME; mathematics must be connected to reality and mathematics as a human activity. RME is implemented three principles, they are: (1) guided reinvention and progressive mathematizing, (2) didactical phenomenology, and (3) self-developed model. Furthermore, the practice of RME also has its own characteristics, they are: (1) phenomenological exploration or the use of contexts, (2) the use of models or bridging by vertical instruments, (3) the use of students own productions and constructions or students contribution, (4) the interactive character of the teaching process or interactivity, and (5) the intertwining of various learning strands. A paper is eligible to be included in this topic if the paper accommodates these three principles and these five characteristics. Joyful Learning in Mathematics Education The main goal of mathematics education in school is the mathematization of the child’s thought process through joyful learning. Learning should be something joyful because it is a perpetual growth process and self-reflection. Mathematics teachers are expected to develop ideas to motivate students by joyful activities, such as discovering, exploring, constructing, designing, setting strategy, and solving problems that are wrapped in mathematics games, puzzles, and hands-on activities. Integrating ICT in Mathematics Education The advance of information and communication technology (ICT) has been the concern of all human life, including in education. When all students use technology, education must be the first one to utilize it for the sake of effectiveness and attractiveness. The researches (ideas of research) on related topics could be traced to the works of Paul Drijvers, Willem J. Pelgrum, Tjeerd Plomp, Jean-Baptiste Lagrange, Michèle Artigue, Colette Laborde, Luc Trouche, and published books in Springer or other publishers. STEM Education Science, Technology, Engineering, and Mathematics (STEM) has been major topic of discussion in the field of education, due to the most esteemed fields to respond to the demand of 21st century. STEM education will be an important knowledge for teachers to educate future high-quality workforce. STEM education can be implemented in any level of education. The main principle of STEM education is Engineering Design Process (EDP). This principle consists of cyclic process: (1) Identifying problem, (2) Researching the problem, (3) Developing possible solutions, (4) Selecting promising solution, (5) Building the prototype, (6) Evaluating the prototype, (7) Redesigning. The idea research of STEM Education can be explored in Breiner, Harkness, Johnson, and Koehler; Sanders; and Bybee. Lesson Study Lesson Study is a well-known approach originated from Japan for action research in classroom by teachers. It is an effective model for teachers to join their activities to improve their teaching. This approach emphasizes the improvement of students’ mathematical thinking which involves three steps namely Plan-Do-See. The research (ideas of research) on related topics could be traced to the works of Fernandez and Yoshida, Lewis and Wang-Iverson and Yoshida. Teacher-made Mathematics Teaching Aids Students at times struggle with mathematics due to the abstract concepts involved. To help address this issue teachers can use physical objects, such as teaching aids, to make the concepts more relatable and understandable. It also provides opportunity for students to understand and internalize basic mathematial concepts through concrete objects and situations. A paper is eligible for this topic if it comprehensively explains the mathematics teaching aid made by the teachers and the learning opportunities offered to the students. Clinical Supervision Having strong educational leadership is known to be a major factor in improving student learning. By providing vision and development opportunities, educational leaders can help facilitate the conditions necessary for teachers to perform at their best. A good supervision involves activities that aids, directs and informs teachers of what should be done or have been done and not merely finding faults in the teachers’ teaching. A paper is eligible for inclusion in the clinical supervision if it provides a comprehensive description and analysis of every stage in the supervision process Differentiated Instruction Differentiated instruction is a teaching theory based on the premise that instructional approaches should vary and be adapted in relation to individual and diverse students in classrooms. Many classes consisting of students with diverse learning abilities require a teacher capable of designing teaching strategies that accommodate all learning styles. Therefore, the scope of differentiated instruction is an important part of the focus and scope of the journal. Teacher Professional Development Teacher professional development is defined as activities that develop an teacher’s skills, knowledge, expertise and other characteristics. The definition recognizes that development can be provided in many ways, ranging from the formal to the informal. It can be made available through external expertise in the form of courses, workshops or formal qualification programs, through collaboration between schools or teachers across schools (e.g. observational visits to other schools or teacher networks) or within the schools in which teachers work. In this last case, development can be provided through coaching/mentoring, collaborative planning and teaching, and the sharing of good practices. Classroom Action Research Classroom action research is a reflective process which helps teachers to explore and examine aspects of teaching and learning and to take action to change and improve. It begins with a question or questions about classroom experiences, issues, or challenges. Generally, classroom action research is consisting of 4 steps, namely, planning, action, observation, and reflection. Authors could submit their work, with a comprehensive description and analysis of every step.
Articles
130 Documents
Fostering Ethnomathematics in Projective Geometry: A Hypnoteaching Framework for Effective Distance Learning
Jafaruddin, Jafaruddin;
Chen, Wen-Haw
Southeast Asian Mathematics Education Journal Vol 13, No 2 (2023)
Publisher : SEAMEO Regional Centre for QITEP in Mathematics
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DOI: 10.46517/seamej.v13i2.240
This study evaluated the impact of integrating students' cultural backgrounds into online learning to improve understanding and participation. It employed "Simple House Theory" and projective geometry in designing traditional houses to make complex mathematical concepts relatable. The Ethnomathematics project and the Hypnoteaching model were two instructional strategies that successfully enhanced active student participation in distance learning.Data was collected from a joint course between Universitas Negeri Makassar (UNM Makassar), Indonesia, and Tunghai University, Taiwan. The study involved 36 students: 20 from UNM Makassar’s international mathematics education program (Group I) and 16 from Tunghai University’s applied mathematics department (Group II). Various tools like surveys, tests, and projects were employed for data collection. The survey had 23 Likert-scale questions, allowing a thorough evaluation of student feedback. Quantitative analysis of this data revealed that incorporating the Ethnomathematics projects and Hypnoteaching model into the curriculum significantly increased student engagement in remote learning. This was further evidenced by improved student performance in project work. The research underscores the benefits of culturally relevant teaching methods in enhancing engagement and understanding in online mathematics education. It highlights the effectiveness of embedding local cultural elements into online learning environments, creating more engaging and relatable experiences. The study suggests the potential of these approaches in other educational contexts and disciplines for future research.
Profile of Spatial Ability of High School Students when Solving Geometry Problems
Wahyuni, Septia;
Noviani, Julia;
Saleha, Dian
Southeast Asian Mathematics Education Journal Vol 14, No 1 (2024)
Publisher : SEAMEO Regional Centre for QITEP in Mathematics
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DOI: 10.46517/seamej.v14i1.288
Learning geometry began in elementary school and continued through high school, as well as at more advanced levels in the area of interest of higher education. This is because studying geometry can enhance students' problem-solving skills and mathematical reasoning. Prioritized in geometry are the acquisition of spatial reasoning skills and an understanding of geometrical shapes and properties. This research aims to describe the spatial abilities of high school students in solving geometry problems. This study used qualitative research methods using descriptive design. The research subjects in this study were ten grade students in a senior high school in Aceh, Indonesia, consisting of three subjects with high, medium and low geometry abilities. Data collection techniques used were tests and interviews. The instruments in this study were geometric ability tests, spatial ability tests and interview guidelines. Data analysis techniques use data analysis techniques; data reduction, data display and draw a conclusion. The results of the study show that the spatial ability profile of students in the high and medium categories in solving geometry problems is that they have good abilities in showing correct perception of the position of geometric objects; have good ability to show correct perception of the shape of a geometric object. The low category students have good abilities in spatial perception but have poor abilities in visualization abilities. Students with high, medium and low abilities in solving geometry problems have good abilities in demonstrating mental rotation abilities.
Investigating Mathematical Knowledge of Teaching for Secondary Preservice Teachers in Papua New Guinea
Olowa, Murray
Southeast Asian Mathematics Education Journal Vol 13, No 2 (2023)
Publisher : SEAMEO Regional Centre for QITEP in Mathematics
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DOI: 10.46517/seamej.v13i2.178
This article examines the studies investigating the teacher’s mathematics knowledge of teaching by secondary preservice teachers in Papua New Guinea. Previous research on Mathematics Knowledge for Teaching provided support for the study. This study was conducted in recognition of the ongoing problems with Papua New Guinea's curriculum, particularly the teaching of science and mathematics, which have led to a drop in students' performance in these subjects. Subject Matter Knowledge (SMK) and Pedagogical Content Knowledge (PCK) are the two main domains that have been identified. These domains are further subdivided into Knowledge of Content and Students (KCS), Knowledge of Content and Teaching (KCT), and Knowledge of Content and Curriculum (KCC), respectively. Other subdivided areas include Common Content Knowledge (CCK), Specialized Content Knowledge (SCK), and Horizon Content Knowledge (HCK). To determine the relationship between SMK and PCK, research questionnaires were utilized as instruments that could accommodate the various areas of SMK and PCK. Given that the P-value is 0.22>0.05, the study's findings indicate a marginally significant difference in SMK between years one and four. However, since the P-value was 0.007<0.05, it was discovered that year fours have higher PCK than year one. Ultimately, the study has demonstrated that fourth years have higher MKT than first years. The diligent work of final-yearpreservice teachers in mathematics is what caused this difference. It is advised that the mathematics curricula in teacher colleges be reviewed following the findings and expanded to include material on SMK and PCK. The Secondary Teachers College Program Specification Document must include both what and how to teach mathematics.
Development of a Numeracy Assessment Instrument for Vocational High School (VHS) Students
Jumini, Jumini;
Hidayati, Kana
Southeast Asian Mathematics Education Journal Vol 14, No 1 (2024)
Publisher : SEAMEO Regional Centre for QITEP in Mathematics
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DOI: 10.46517/seamej.v14i1.306
Numeracy skills are essential components that must be mastered by Vocational High School (VHS) graduates to enter the workforce. Developing a quality instrument based on the Item Response Theory (IRT) approach is necessary to measure numeracy skills. Since the development process involved VHS students, the instrument is developed based on the characteristics of the users. This study aims to (1) develop a quality numeracy assessment instrument for VHS students and (2) describe the numeracy skill profile of VHS eleven graders in Sleman Regency based on the assessment result. The subjects of the wide-scale trial were 374 students from nine VHSs in the Sleman Regency of Indonesia, assessed in nine study areas. Data analysis used the Item Response Theory (IRT) of the Quest program with the outputs: (1) An instrument consisting of 35 questions involving multiple-choice, complex multiple-choice, short answer, and essay. All items are valid qualitatively based on expert judgment and quantitatively based on infit and outfit MNSQ value and unidimensionality. The test item reliability value is 0.96, including in the special category, and the person reliability estimateis 0.89, categorized as good. Based on Total Information Function (TIF) and Standard Error of Measurement (SEM), the instrument is reliable in estimating the numeracy skills of the students with the ability ranging from -3.2 to 3.3 logit or covering the ability categories of low, medium, and high. The difficulty level of all items is in the range of -2.0 to 2.0, falling into the good category. (2) Most students, covering 67% of VHS students in Sleman Regency, have numeracy skills at the Basic level.
Problem-Solving Skills and Productive Struggle of Students in Solving Mathematical Problems in Elementary School
Mufliva, Rosiana;
Turmudi, Turmudi;
Herman, Tatang;
Iriawan, Sandi Budi;
Fitriani, Andhin Dyas
Southeast Asian Mathematics Education Journal Vol 14, No 1 (2024)
Publisher : SEAMEO Regional Centre for QITEP in Mathematics
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DOI: 10.46517/seamej.v14i1.376
The research is motivated by the need to gain a deeper understanding of students’ mathematical problem-solving abilities, particularly in algebra, and to identify and address the productive struggles the encounter while solving problems. This research aims to analyze students' mathematical problem-solving abilities in solving algebra problems and identify students' productive struggles in solving these problems. This research was carried out using a qualitative approach with descriptive methods and instruments used in this research are problem solving ability tests, questionnaires that have been validated by education experts, and interview guides. Researchers selected students based on their level of productive struggle, namely high, medium, and low. The result revealed that students who have high productive struggle can answer the three questions correctly according to the problem-solving stages, starting from the understanding stage, transformation stage, process skills stage, and conclusion stage. Students who have moderate productive fighting power can answer the three questions only up to the understanding and transformation stage. At the process skills stage, students show errors in calculating and need teacher motivation to continue their struggle in solving mathematical problems. Students who have low productive fighting power can answer questions only up to the understanding stage, limited to writing back what they know and ask. In this category, students need intervention assistance from researchers to encourage their productive struggles. This assistance does not eliminate students' opportunities to think actively, on the contrary, through this method students are required to interpret their knowledge.
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.
Elementary School Teachers' Skills in Integrating STEM Education
Siregar, Nur Choiro;
Warsito, Warsito;
Rosli, Roslinda;
Haswati, Desty;
Gumilar, Aris
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.v14i2.380
Integrating science, technology, engineering, and mathematics (STEM) education is the principal capital to improve the nation's economic dignity. Students' STEM abilities must be different from the role of teachers as facilitators in the learning process at school. The ability of elementary school teachers to apply STEM approaches is critical, especially in mathematics and natural sciences (IPA) studies. The study aims to identify how elementary school teachers are integrating STEM approaches. We used a qualitative case study research method, conducting in-depth interviews with two math teachers and two science teachers from the city and the village. The findings suggest differences in teachers' ability to apply STEM approaches during classroom instruction. Three aspects affect this difference: (1) lack of teacher professional development (training, seminars, or workshops); (2) facilities for obtaining information (equipment such as laboratories and computers); and (3) different abilities of students (intellectual intelligence). There are differences in the ability of teachers in urban and rural areas to implement STEM approaches. Teachers who teach in villages have limited knowledge of integrated STEM; internal and external factors greatly influence the differences. Therefore, policymakers must undertake more programs and activities to develop their ability to implement STEM approaches. We suggest further research to explore the factors that affect teachers' ability to integrate STEM. We discuss the limitations and implications of this study.
TPACK Skills of Pre-service Teachers in Technology Integration: A Study in Microteaching Class
Firmanti, Pipit;
Yuberta, Fauzi;
Purnomo, Yoppy Wahyu;
Firdaus, Fery Muhamad
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.v14i2.417
The integration of technology in mathematics education is a tangible manifestation of the rapid development of the times. Therefore, teachers must use technological devices to ensure students stay competitive in the global arena. This study aims to describe the distribution of TPACK skills among pre-service mathematics teachers and monitor their development during their microteaching experiences. This research is a qualitative descriptive study. The participants in the study were eleven students at UIN Sjech M Djamil Djambek Bukittinggi who were taking a microteaching course in the even semester of 2023/2024. The instruments used were the TPACK questionnaire and observation sheets. Based on the observation, in the first session, some subjects were unable to use or operate the software they had downloaded, and many quiz applications encountered problems because they could not be opened. The challenges faced included paid software and issues operating the software on different laptops. It is suspected that one student did not attend because she was not prepared to present. Additionally, the development of skills for each TPACK aspect generally showed improvement in subsequent sessions. The subjects generally used presentation slide applications such as Microsoft PowerPointTM and CanvaTM to explain the material and conducted evaluations by giving quizzes through applications such as QuizizzTM, KahootTM, WordwallTM, and BamboozleTM. The results show that the students' skills based on the TPACK Questionnare were at a moderate level with an average score of 3.38. However, there are differences between the results of the questionnaire and the observations carried out. For instance, in the aspect of Technological Pedagogical Knowledge especially for item "I can utilize available technologies as a learning aid". The questionnaire showed a high rating 3.63. On the other hand, observations indicate that students' abilities are still lacking, indicating that students have much to learn, especially in the use of technology in the learning process to enhance the learning environment in mathematics.
The Hypothetical Learning Trajectories of AI Usage in Learning Integral for Aerospace Engineering Students
Funny, Rindu Alriavindra;
Kusumaningrum, Maria Asumpta Deny;
Rahmawati, Fajar Khanif
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.v14i2.409
The increasing use of AI among students has transformed learning habits, often shifting from deep conceptual understanding to quick solution retrieval. Mathematics education in aerospace engineering requires innovative approaches to enhance students' conceptual understanding and problem-solving skills. This study implemented Realistic Mathematics Education (RME) for Aerospace Engineering Students (AES) using a design research methodology. It is focused only on the development of the hypothetical learning trajectory (HLT) in learning integration strategies for the first and second year of AES using artificial intelligence (AI). After working with the HLT during the first and second cycle, this study discovered that the students' high expectations of AI while solving integration approaches did not match. Students still require more assistance to grasp the AI answer, such as lecturer clarification or video explanation on YouTube. Students frequently use AI to solve problems without fully comprehending the actual procedure. Due to the time constraints, they use the AI answer immediately rather than paraphrasing it to their understanding. Consequently, we found that students realise their inability to depend completely on AI for deep understanding. As a result, AI is used to facilitate the recollection of existing knowledge or the confirmation of the final response rather than to understand new material. AI supports teaching but is not a substitute.
Phenomenological Hermeneutic Study on the Epistemological Obstacles of High School Students in Solving Combinatorics Problems
Nopriana, Tri;
Asnawati, Sri;
Kania, Nia
Southeast Asian Mathematics Education Journal Vol 15, No 1 (2025)
Publisher : SEAMEO Regional Centre for QITEP in Mathematics
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DOI: 10.46517/seamej.v15i1.468
This study employs a hermeneutic phenomenological approach to explore students' epistemological obstacles in solving permutation and combination problems, with the goal of supporting the development of more effective teaching materials. The research involved 24 12th-grade high school students (14 males and 10 females) and used qualitative methods. Data were collected through five diagnostic essay questions and semi-structured interviews to identify epistemological obstacles in combinatorics. Students’ written responses and interview transcripts were analyzed and interpreted to uncover the underlying obstacles. The findings revealed several epistemological obstacles: (1) students were unable to identify all possible answers from a given problem; (2) students could not differentiate between problems requiring the concept of permutation and those requiring the concept of combination; (3) students struggled to solve problems that differed from the example problems provided; and (4) challenges in formulating a complete solution when faced with multiple conditions, despite being able to calculate partial results. These insights suggest that teachers and future researchers should consider students' epistemological obstacles when designing instructional materials, particularly for topics in combinatorics such as permutations and combinations. Developing learning resources based on these findings may enhance conceptual understanding and problem-solving skills among students.