Mathematics Subject Research Articles

Experience With Breakout for Collaborative Learning and Assessment in Higher Education

Aim: The aim of this study is to verify empirically that the combination of ICT and game-based teaching for teaching and assessment of mathematics at university level allows students to obtain meaningful learning that favours performance in the subjects of mathematics and statistics. Theoretical framework: The main concepts and theories underpinning the research are presented, thus providing a solid basis for contextualising and gaining a better understanding of the research. Method: The methodology adopted for this research comprises on the one hand a systematic review of the literature. Quantitative data were collected from experience with students in the fields of Economics and Engineering in quantitative and technical subjects. Results and Discussion: The results obtained revealed that the students who carried out this experience performed better than those who did not. Therefore, focusing the activity as a game using different ICT tools (specifically, GeoGebra), allows us to change the classroom routine and, in a secondary way, to check the skills and competence level of each student in the use of technology and the subject itself. Likewise, in order to be able to base the decisions taken to formulate the evaluation activity, we have indicated the precedents in the literature that have been taken into consideration. Implications of the research: These implications could cover all areas related to education and especially higher education, as it is not usual to use gamification at university levels, although on the other hand, it is more usual to use ICT. Originality/Value: The implementation of an evaluative activity based on gamification and specifically on escape games (specifically a breakout) is not common in the field of university teaching in mathematics. This type of disruptive activities with the usual routine in the classroom not only favours meaningful learning, but also the motivation and interest of students before new situations. Therefore, there is a clear need to generate new projects that break the educational monotony in which students currently find themselves so that they can also learn social competences with their peers that facilitate their incorporation as citizens into society, promoting a better and sustainable world.

Effects of subject-specific professional knowledge and skills of physical education teachers on students’ learning progress

AbstractAlthough the subject-specific professional knowledge of teachers is considered to be of central importance with regard to the learning performance of their students, there is only sparse empirical evidence on this issue. Moreover, current studies are primarily limited to the subject of mathematics. The aim of this article is to investigate the significance of subject-specific professional knowledge and skills of physical education (PE) teachers on the practical learning gains of their students based on a panel study. In order to measure both non-contextual knowledge and contextual skills on the teachers’ side, paper–pencil tests as well as video and text vignettes were used as test instruments. On the students’ side, practical sport skills were assessed in a pretest–posttest design to evaluate competence growth with regard to complex sports performance. An effect chain with mediation processes was postulated. Multilevel modeling analyzing 1669 students who were taught by 74 teachers could prove significant performance improvements for the students, but none of the four differentiated knowledge dimensions (content knowledge, non-contextual; pedagogical content knowledge, non-contextual; content knowledge, contextual; pedagogical content knowledge, contextual) of the teachers could explain these learning gains. Thus, the results are in line with various studies in mathematics and suggest that direct effects of teachers’ professional knowledge on students’ learning gains seem to be lost. The results therefore suggest that while basic and broad professional knowledge is required for instructional success, specific expertise in certain competence areas does not lead to additional learning success among students. Further research within the EPiC-PE study is needed to provide a more comprehensive picture of the relationships between professional knowledge and skills, classroom behavior, instructional processes, and learning outcomes.

Effect of Teachers Attitudes towards Teaching on Students’ Performance in Mathematics Subject in Public Day Secondary Schools in Rwanda: A Case of Huye District

The study investigated how teachers' attitudes toward teaching influenced students' academic progress in mathematics in a public secondary school in Huye District. Specifically, the research identifies the teachers' attitudes toward teaching that could influence the achievement of pupils in Mathematics-related subjects in public day secondary schools in Huye district. Guided by the Theory of Planned Behavior, this study used a combined method approach to collect both quantitative and qualitative data to examine how teachers' attitudes influence their teaching practices in Mathematics. Purposive and random sampling were applied to select sectors, schools, and participants, allowing for systematic data collection and analysis on teachers' attitudes and their influence on students’ performance. The target population for this study was 200, including 3 sector educational officers, 5 head teachers, 25 mathematics teachers and 167 Mathematics students; and the Yamane method was used to calculate a sample size of 134 respondents including 2 sector educational officers, 3 Head teachers, 15 teachers and 114 students. Primary data sources included surveys, while secondary data came from observation and interview methods. This study used purposive, stratified and simple random sampling procedures to create a sample group of respondents. The research collected and analyzed data using both quantitative and qualitative approaches. Content analysis helped with qualitative data analysis, while quantitative data was presented in SPSS Version 21.0 utilizing statistical methods such as descriptive (frequency, percentage, imply and deviation from the mean) and inferential statistics (correlational and regression analysis). For the study objective, the results show that 76.3% strongly agreed that teachers' communication skills, 69.3% strongly agreed that effective goal-setting, 64.9% strongly agreed that lesson preparation, 61.4% strongly agreed that lesson preparation, 78.1% strongly accepted that professional commitment, and 68.0% highly agreed that adaptability and flexibility reflect my teachers' attitudes toward teaching. 64.9% strongly agreed that early arrival in class during the teaching lesson reflects the teachers' attitudes toward teaching. The study found a strong positive correlation between exams, test results, and factors like interpersonal skills, goal-setting, lesson preparation, and professional commitment, which all contributed to improved student performance. The researcher concluded that early attendance and communication skills of teachers were also linked to positive educational outcomes, with tests enhancing performance across subjects. With a p-value below 0.05, the study showed that active class participation boosts effectiveness. Recommendations included improving teacher attitudes towards math, enhancing confidence, making Math enjoyable, investing in teacher training, providing resources and encouraging community involvement in Math careers. Regular follow-ups and ongoing professional development for teachers were also advised.

Effect of Project Based Learning Method on Students ‘Academic Performance in Mathematics Subject in Rwanda

Purpose: The purpose of this study was to evaluate the effect of project-based learning (PBL) on students’ academic performance in mathematics at TTC Muhanga, located in Muhanga District, Southern Province. Methodology: A descriptive research design was employed, involving 889 participants, including 273 student teachers, 23 teachers, 1 dean, and 1 principal. The study ensured reliability through test-retest and Cronbach’s alpha methods, while content validity was assessed using the Content Validity Index (CVI). Data were gathered through questionnaires and interviews and analyzed using SPSS. Findings: The findings reveal a generally positive perception of PBL practices. Collaborative projects were particularly well received, with 73.9% of teachers agreeing that they enhance communication (mean score: 4.61). Hands-on activities were also endorsed by 69.56% of participants (mean score: 4.48), while technology integration received less consensus, with 60.87% agreeing on its effectiveness (mean score: 4.30). Reflection and presentation skills were highlighted as especially impactful, with 78.26% of respondents strongly agreeing (mean score: 4.65). The study further demonstrates that both collaboration (r = .904, β = .500) and technology use (r = .677, β = .553) significantly contribute to increased student engagement and improved academic performance. Unique Contribution to Theory, Practice and Policy: Based on these findings, the study recommends enhancing technology integration within PBL, promoting continuous professional development for teachers, emphasizing the importance of collaboration in PBL activities, and increasing opportunities for students to engage in reflection and develop presentation skills.

Peningkatan Hasil Belajar Matematika Melalui Pendekatan Teaching at The Right Level Berbantuan Papan Musi

This research aims to improve student learning outcomes in Mathematics subjects using the TaRL (Teaching at The Right Level) approach assisted by Papan Musi media. This approach is an approach based on the level of students' abilities. This learning considers the needs and characteristics of each student. The goal is to create fun learning so that all students can achieve the expected learning goals. The subjects of this study are 32 students (15 male students and 17 female students) of class V. This classroom action research is reflective and collaborative. The implementation is carried out for two cycles. The results of this study show that the application of the TaRl (Teaching at The Right Level) approach assisted by a prayer board can improve the learning outcomes of Mathematics students in grade V of elementary school. This can be seen from the increase in the percentage of the average value of the observation results in cycle 1, namely the completeness value of 51% and the average value of 73%. Of the 32 students, 17 students have achieved KKM scores. There was also a very good increase in cycle 2 with a percentage of 85% and the average score in this cycle reached 87.5%. There were 28 students who improved their learning outcomes. So, using the Teaching at The Right Level learning approach with the help of the musi board media in Mathematics learning has an impact on improving the learning outcomes of grade V students of SDN 1 Mataram.

MV-frames

Abstract Each complete MV-algebra is naturally equipped with a structure of a frame. For this reason, we shall call such MV-algebras MV-frames and investigate some of their main frame properties. We completely characterize algebraic MV-frames as well as regular MV-frames. In addition, we consider nuclei on MV-frames in general and on MV-frames of ideals of Łukasiewicz rings in particular. Finally, we use the Chang–Mundici functor to explore the frame structures of complete unital lattice-ordered groups. 2010 Mathematics Subject Classification. 06D35, 06E15, 06D50

Pedagogical responsiveness: Focus on the Ukuqonda institute’s mode of engagement in mathematics

This paper was prompted by mathematics teachers’ challenges in implementing the proposed framework that centres on teaching for understanding, as opposed to teaching aimed at producing marks as evidence of achievement. Teaching for understanding in mathematics, among other factors, requires the creation of engaging and inclusive learning environments underpinned by teachers’ pedagogical responsiveness to the diverse needs of learners. We investigated pedagogical responsiveness, focusing on the Ukuqonda Institute’s mode of engagement in mathematics. We specifically pursued two research questions: 1) What are the key elements of the Ukuqonda Institute’s mode of engagement in mathematics? and 2) What characterised the pedagogical responsiveness of mathematics educators at the Ukuqonda Institute? We adopted collaborative autoethnography and used two data sets generated from audio recordings captured by the authors. We employed narrative analysis and organised the findings using the characteristics of pedagogical responsiveness as heuristic devices. The findings show that the participants’ pedagogical responsiveness was stimulated by the iterative process of team planning, deliberate implementation, and reflection. The prevalent characteristics were learner interactions, learner focus, inclusivity, dialogue and relationality, knowledge work, social justice, and equity. We recommend that similar studies be conducted targeting pedagogical responsiveness with a focus on other mathematical themes. Furthermore, this study suggests that, to remain pedagogically responsive, there should be constructive alignment among the types of tasks, questions, classroom interactions, and targeted content that underpin mathematics teaching and learning across different educational levels.

Pedagogical responsiveness of mathematics instruction at inclusive secondary schools: A particularistic case study

This qualitative particularistic case study explores the perspectives and experiences of learners with visual and hearing impairments regarding the teaching of mathematics. Extreme-case sampling was employed to select four learners (three hearing impaired and one visually impaired) from the only two inclusive secondary schools in the northern part of Namibia. The study qualitative study utilised open-ended questionnaires and interviews. Verbatim quotes from the research participants were used as inferences to identify descriptors within the first-generation Cultural Historical Activity Theory, which served as a theoretical and analytical tool. The findings revealed that the activity system of learners with visual and hearing impairments exhibited tensions that negatively affected their performance in mathematics. Learners experienced marginal responsive pedagogy in mathematics classrooms due to teachers' lack of knowledge and pedagogical skills for delivering meaningful mathematical instruction. While learners without disabilities struggled with comprehension and effective communication skills, learners with visual and hearing impairments faced a lack of equipment to support the conceptualisation and visualisation of mathematical subject content. The authors emphasise the critical importance of addressing communication barriers and adapting teaching practices to support the learning and inclusion of visually and hearing-impaired learners in mathematics, with an emphasis on mathematical language that promotes a better understanding of mathematical concepts. Teacher training should also incorporate responsive pedagogy to enhance outcomes and foster a more inclusive learning environment that promotes academic success and positive social experiences for all learners. Recommendations at a policy level, including advocating for a decolonised curriculum were made.

Wolfram alpha and maple as educational technology for future teachers of mathematics

The paper’s purpose is to present technology-enhanced activities with triangular, square, and other polygonal numbers arranged in basic geometric shapes – equilateral and isosceles triangles and squares. The author’s review of recently published mathematics education papers found no use of computing technology in teaching polygonal numbers either at the college or the pre-college levels worldwide. This omission served as a motivation to share and discuss computational algorithms designed by the author for the summation of such numbers within each geometric structure. A method through which those algorithms were used with teacher candidates is based on the technology-immune/technology-enabled problem-solving pedagogy. This method can be recommended for the modern-day teaching of elementary number theory and other mathematical topics across multiple grade levels and educational programs. The activities, supported by Wolfram Alpha and Maple, can be used by instructors of technology-motivated mathematics teacher education courses. The paper argues that the power of digital tools allows future teachers of mathematics, in the context of elementary number theory, to appreciate the use of simple algorithms in achieving sophisticated computational outcomes. Reflective comments of teacher candidates (the author’s students) are shared to indicate the importance of the history of mathematics and the focus on mathematical visualization as a pedagogical approach aimed at conceptual understanding of the subject matter.

2015 개정 교육과정에 따른 <기본 수학> 교과서의 선분의 중점 지도에 관한 분석

Objectives The purpose of this study is to analyze whether to introduce coordinates that midpoint on the line seg-ment and the learning contents that show different description methods of the <Basic Mathematics> textbooks according to the 2015 revised curriculum. Methods To do this, seven <Basic Mathematics> textbooks according to the 2015 revised curriculum were analyzed. Results First, only three of seven <Basic Mathematics> textbooks introduce the coordinates of the midpoint of the line segment. Two of these were introduced in the coordinate plane, and the other one was provided to the auxil-iary space as a hint to solve the equation problem of the circle. Second, three of the seven <Basic Mathematics> textbooks presented a problem to be solved using the coordinates of the midpoint of the line segment. In the equation of the straight line, it is presented as a problem of finding a perpendicular bisector of a line segment, and in the equation of the circle, it was presented as a problem of finding an equation of a circle given both end points of the diameter. Third, the method of describing the contents of the symmetric movement about the straight line    was different depending on whether or not it was introduced into the coordinates of the center. Conclusions Changes in the curriculum due to the nature of the mathematics subject not only affect the teaching and learning methods of that part, but also the teaching methods of other parts. Therefore, it is necessary to con-tinuously study the learning contents and changes in teaching and learning materials such as textbooks according to changes in the curriculum.

Upaya Meningkatkan Hasil Belajar Matematika Materi Bangun Datar dengan Pendekatan Matmatika Realistik di Kelas V SDN 101766 Bandar Setia

The purpose of this research is to see the results of learning mathematics on flat shapes material after using a realistic mathematics approach in class V of SD Negeri 101766 Bandar Setia. The research method used is Classroom Action Research (CAR). The CAR model used consists of 4 stages, namely planning, action, review (observation), and reflection. The subjects in this study were 22 students of class V-B of SD Negeri 101766 Bandar Setia, consisting of 10 male students and 12 female students. The data collection technique used in this study was observation and test analysis. The results of the study from the implementation of two cycles showed that the percentage of student learning activities increased by 60% in cycle I to 88.5% in cycle II. The percentage of student learning outcomes also increased from 59% (good) in cycle I to 86% (very good) in cycle II. Based on the results of the data analysis obtained, it can be concluded that the realistic mathematics approach can improve student learning outcomes in the mathematics subject of flat shapes material in class V of SD Negeri 101766 Bandar Setia

Mathematics Teachers’ Experiences of Using Online Teaching Resources for Professional Learning in a Context of Disadvantage

This interpretative phenomenological study adopted the Community of Inquiry framework to explore 30 South African teachers’ experiences of the effectiveness of Grade 9 online mathematics teaching resources. A survey questionnaire with open-ended questions and a semi-structured interview guide were used to obtain data on the teachers' experiences. Data were analysed using an inductive thematic coding approach. The findings were that the teachers positively experienced the efficacy of online teaching materials for their professional development in terms of cognitive, social, teaching and learning presences. Using WhatsApp groups to share and discuss the online materials enhanced a common identity (social presence), deep engagement with the mathematical and pedagogical content knowledge of the materials (cognitive presence), (peer) teaching and (peer) learning from one another via WhatsApp (social media) chat groups (teaching and cognitive presences) that collectively eased curriculum implementation and enhanced student learning. However, limited facilitator teaching presence and limited internet access for both teachers and learners constrained the platform's benefits. Participating teachers reported spending at least three hours per week searching for online teaching resources, sometimes fruitlessly, indicating a need for more digital literacy training. The study makes a valuable contribution to our understanding of the potential benefits of online resources for teaching complex mathematics topics such as fractions and familiarity with the obstacles that need to be overcome. The more teachers and students turn to online resources, the more the findings of this study can inform the development of such resources to improve mathematics learning outcomes for schools in contexts of disadvantage.

Effect of Implementing a Competence-Based Curriculum on Students’ Academic Performance in Mathematics: A Case of Selected Lower Secondary Public Day Schools in Rwamagana District, Rwanda

This study is designed to determine the effect of implementing competence-based curriculum on students’ academic performance in mathematics in selected lower secondary public day schools in Rwamagana District, Rwanda. This study is beneficial to Rwandan secondary schools, to the researcher himself, teachers, and other researchers providing advice on how they can develop the students’ competences in mathematics subjects. Guided by constructivism and social constructivism learning theories, the study’s participants were 8 head teachers and Deans of studies (5 respondents), 7 teachers of mathematics (5 respondents) and 275 students (158 respondents). These made a sample size of 168 respondents from four secondary day schools in Rwamagana district were involved in this research. The target population of this study was 290 participants. Purposive sampling by choosing the Dean of studies and Head teachers and simple random sampling was used to choose teachers and students as well as stratified random sampling. Instruments used to collect data are questionnaires and interviews. The quantitative data was analyzed by using IBM SPSS 20 while analysis of qualitative data was done using inductive thematic analysis. Results on the implementation of competence-based curriculum structure indicated that 81.7% strongly agree that discussing math concepts with classmates helps them to learn better. 86.7% agree that the school leaders support the implementation of Competence-Based Curriculum (CBC) in mathematics. 89.9% of the asked students agree that their mathematics teachers seemed well prepared to teach the CBC. The study found that the CBC program is being implemented effectively in Rwamagana District. Students are more engaged, better at problem-solving, and have a better understanding of math. The study shows that the program should continue and be improved to help students succeed in school and their careers. It was proposed that Rwanda Education Board is advised to support and train schools in implementing the CBC in mathematics. It should regularly evaluate and adjust the curriculum to improve outcomes. Teachers should participate in professional development and adopt a student-centered approach. Schools should ensure adequate resources and foster a collaborative culture. Families should encourage active student participation, maintain open communication, and provide a supportive home environment.

Mathematics Education Research Trends in the Philippines: A Bibliometric Analysis using Scopus Database

The investigation of research trends in mathematics education in the global landscape has been prominent in the recent years. However, there is a dearth of literature in investigating research trends in mathematics education in the Philippine setting. Thus, this bibliometric analysis on the research in mathematics education in the Philippines from 2013 to 2023 was conducted. This paper aimed to present scientific information about the distribution pattern of research on mathematics education in terms of discipline, the profile of prominent authors, the key subject areas which given emphasis, and the direction of research. A total of 993 articles were obtained from the Scopus database and were analyzed using the VOSviewer software application to see the research trends in mathematics education in the Philippines. Research articles emerged as the predominant document type, followed by conference papers. The pinnacle of mathematics education research in the Philippines was in 2014. Notably, the research trend in the Philippines for the last five years have observable decrease in mathematics education. Results show that in terms of discipline, problem solving, teacher professional development, and curriculum were typically the key areas of emphasis. Moreover, the top author with the greatest number of citations since 2013-2023 is a female researcher from Mindanao. Furthermore, the mathematics subjects that have the most attention are algebra, proof, calculus, technology, geometry, and modeling. Finally, this paper foresees continued growth in mathematics education research in the Philippines, particularly in the realms of professional development and problem-solving.

Pengembangan Desain Wizer.Me Sebagai E-LKPD pada Mata Pelajaran Matematika Materi Bilangan Bulat Kelas VII SMP

The development of E-LKPD in Grade VII Mathematics Subject of SMPN 5 Linggo Sari Baganti is motivated by a teacher-oriented learning pattern, as well as limitations in the use of digital teaching materials such as E-LKPD. This research aims to produce valid and practical E-LKPD products so that they can be used in the learning process. The type of research used is Research and Development (R&D). The development model used in this study is a 4D model. The 4D model consists of 4 stages, namely define, design, develop and disseminate. The results of the development of E-LKPD were obtained through validity and practicality tests. The product validity test was validated by three validators consisting of one material validator, namely a teacher of Mathematics Class VII SMPN 5 Sari Baganti and two media validators, namely lecturers from the Department of Curriculum and Educational Technology, Padang State University. The product practicality test was carried out by conducting an E-LKPD trial for grade VIIB students of SMPN 5 Linggo Sari Baganti. The results of the validity test by a material expert and two media experts obtained an average score of 4.86, 4.86, and 4.8 respectively which was categorized as "very valid". The results of the practicality test obtained an average score of 4.6 with the category "very practical". Thus, it can be concluded that the E-LKPD developed is suitable for use as a teaching material in Mathematics Class VII Junior High School.

New trends in didactic research in university mathematics education

AbstractRecent research in university mathematics education has moved beyond the traditional focus on the transition from secondary to tertiary education and students' understanding of introductory courses such as pre-calculus and calculus. There is growing interest in the challenges students face as they move into more advanced mathematics courses that require a shift toward formal reasoning, proof, modeling, and problem-solving skills. This survey paper explores emerging trends and innovations in the field, focusing on three key areas: innovations in teaching and learning advanced mathematical topics, transitions between different levels and contexts of mathematics education, and the role of proof and proving in advanced university mathematics. The survey reflects the evolving landscape of mathematics education research and addresses the theoretical and practical challenges of teaching and learning advanced mathematics across various contexts.

A Comparative Analysis of Structured Pedagogy Interventions in South Africa and Their Impact on Student Performance in Mathematics and Science Subjects

Purpose: The aim of the study was to analyze the comparative analysis of structured pedagogy interventions in South Africa and their impact on student performance in mathematics and science subjects. Methodology: This study adopted a desk methodology. A desk study research design is commonly known as secondary data collection. This is basically collecting data from existing resources preferably because of its low cost advantage as compared to a field research. Our current study looked into already published studies and reports as the data was easily accessed through online journals and libraries. Findings: A comparative analysis of structured pedagogy interventions in South Africa reveals that these targeted educational approaches have positively impacted student performance in mathematics and science subjects. Studies show that interventions such as curriculum-aligned teaching materials, teacher training, and standardized assessments significantly improved students' understanding and achievement in these areas. Unique Contribution to Theory, Practice and Policy: Constructivist learning theory, bloom’s taxonomy of educational objectives & sociocultural theory may be used to anchor future studies on the analyzing the comparative analysis of structured pedagogy interventions in South Africa and their impact on student performance in mathematics and science subjects. Schools should integrate structured lesson plans and data-driven instruction into everyday practice to enhance teacher efficacy and student performance. Policymakers should implement nationwide curriculum reforms that standardize content delivery across all schools, ensuring consistency in teaching quality, particularly in mathematics and science.

Subject Advisors’ Understanding of their Curriculum Leadership Roles for Mathematics Improvement in South African Schools

The study aimed to investigate the curriculum leadership role of Mathematics subject advisors in enhancing Mathematics education in South Africa. Using a case study design, seven Mathematics subject advisors and ten Mathematics educators were sampled from all seven districts of the Free State province. Data collection methods included in-depth semi-structured interviews, observations, and document analysis. Data analysis followed Tesch’s (1990) eight-step coding technique. The field study revealed that Mathematics subject advisors’ leadership roles encompassed providing support and guidance to educators, conducting educator appraisals, monitoring and overseeing educators’ and learners’ workbooks, mentoring, and professional development. They also handled administrative tasks findings like resource provision and paperwork using monitoring tools. While all subject advisors aimed to improve Mathematics achievement, their approaches varied. Some reviewed past strategies while others adapted based on resource availability. Individual educational philosophies also influenced their strategies. Moreover, subject advisors operate within a network that includes principals, educators, learners, and the broader context. Effective curriculum leadership depends on these interactions. Interestingly, none of the subject advisors claimed comprehensive knowledge of their subject area. Some lacked specialization in Mathematics or related fields in which they were operating. Many expressed a need for training, particularly in managing and supporting progressed learners. These findings suggest the need for a standardized model to guide leadership training for Mathematics subject advisors. Such a model could enhance curriculum leadership, thereby improving teaching practices and student performance. Future research could use these insights to develop this model. Keywords: Curriculum Leadership, Subject Advisors, Mathematics, Curriculum, Assessment Policy Statement (CAPS), Cognitive Theory

Hubungan antara Self Efficacy dengan Flow Academic terhadap Mata Pelajaran Matematika Siswa Kelas XII SMA Adabiah 2 Kota Padang

This study aims to explore the relationship between self efficacy and academic flow in mathematics subjects among grade XII students of SMA Adabiah 2 Padang. The independent variable in this study is self efficacy, while the dependent variable is academic flow. The sampling technique used was simple random sampling, with a sample size of 135 grade XII students of SMA Adabiah 2 Padang. To test the validity and reliability, the Alpha Cronbach technique was used, with a self efficacy scale consisting of 15 items and a coefficient of 0.760, and an academic flow scale consisting of 17 items with a coefficient of 0.877. Data analysis was carried out using the parametric method using the Pearson product moment correlation technique, with the help of SPSS 27.0 software. The results of the analysis show a correlation coefficient of r = 0.536 and a p value of 0.000, which means the alternative hypothesis (H1) is accepted and the null hypothesis (H0) is rejected. The findings of this study indicate a positive relationship between self-efficacy and academic flow in mathematics subjects in grade XII students of SMA Adabiah 2 Padang.

PENERAPAN MEDIA PAPAN HITUNG (PAHIT) DALAM PEMBELAJARAN MATEMATIKA PERMULAAN KELAS 2 DI SDN 22 AMPENAN

Teaching aids are objects that are used to assist in the process of conveying information, demonstrations, learning tools, or demonstrations of a particular concept or concepts. In this article the author will explain one of the teaching aids, namely, the Calculation Board. A counting board or PAHIT is a teaching aid used to calculate repeated multiplication, division, addition and subtraction materials. Using this counting board can train children to think quickly and more easily understand the concepts of multiplication and division. At the concrete operational age (7-11 years), elementary school age children generally have difficulty understanding abstract mathematics. Therefore, learning media is needed that can provide solutions to increase students' interest in learning. This research uses descriptive qualitative methods through observation, interviews and documentation. This writing aims to develop calculating board learning media as a medium that can help students' understanding of starting calculations in mathematics subjects. Through this multiplication board media, it is hoped that class II students will be able to think actively in understanding the concepts of multiplication and division so that students can improve their mathematics learning outcomes.Key Word : arithmetic concept, counting board media, mathematics.