Singirankabo, Jean Nepomuscene
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Enhancing Secondary School Students’ Independent Learning, Conceptual Understanding, and Self-Efficacy of the Integration Concept through Photomath-Assisted Instruction Niyibizi, Onesme; Niyitegeka, Thierry; Nahimana, Evode; Kazinyirako, John Peter; Singirankabo, Jean Nepomuscene
Journal of Research in Education and Pedagogy Vol. 3 No. 1 (2026): Journal of Research in Education and Pedagogy
Publisher : Scientia Publica Media

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.70232/jrep.v3i1.148

Abstract

This study assessed how well Photomath-assisted teaching strategies compared to conventional approaches in developing students’ capacity for independent study, improving their conceptual understanding of Integration Content, and boosting their self-efficacy in mathematics in Rwandan Senior Six. It carefully examined how Photomath’s effects varied depending on the student population and the learning environment. Using a non-equivalent control group pre-test–post-test design and a quantitative quasi-experimental methodology, 116 students who were purposefully chosen from public and private secondary schools, urban and rural, and from the PCM, PCB, and MCB academic tracks participated. The multivariate effects of the teaching strategy and its interactions with demographic factors were examined using multivariate analysis of variance (MANOVA). Additionally, diagnostic tests of assumptions (normality, homogeneity of variance-covariance, and multicollinearity) were performed before MANOVA, and all criteria were satisfied. Analyses were conducted using SPSS version 26 with α = 0.05. These methodological checks strengthen the validity of the findings. Regarding students’ independent study skills, conceptual understanding, and mathematics self-efficacy, statistically significant multivariate relationship effects were found between the instructional approach and variables like school location, gender, school type, and academic combination. This result implies that these demographic traits have an impact on Photomath’s effectiveness. By providing empirical evidence regarding Photomath’s varied impact within many different kinds of school contexts in Rwanda, this study fills a significant gap in the body of existing literature. It offers crucial information that educators and legislators may use to adjust technology integration tactics, improving fair and efficient mathematics instruction and reducing potential inequities.
Enhancing Independent Learning and Conceptual Understanding of Integration in Higher Education Mathematics with Photomath Niyibizi, Onesme; Singirankabo, Jean Nepomuscene
Journal of Research in Mathematics, Science, and Technology Education Vol. 3 No. 2 (2026): Journal of Research in Mathematics, Science, and Technology Education
Publisher : Scientia Publica Media

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.70232/jrmste.v3i2.61

Abstract

This study investigated the potential of the Photomath application to promote self-directed learning and integrated conceptual understanding among first-year pre-service mathematics teachers studying at a private higher learning institution during the 2024–2025 academic year. Fastened in a quantitative quasi-experimental survey design, the study targeted 46 purposively selected students pursuing mathematics-related subject combinations. Data were collected using a validated Likert-scale questionnaire designed to capture students’ attitudes, learning autonomy, and levels of conceptual understanding. The instrument demonstrated acceptable internal consistency, with reliability coefficients ranging between 0.76 and 0.84. Statistical analysis using Multivariate Analysis of Variance (MANOVA) revealed statistically significant effects of Photomath usage on students’ attitudes toward mathematics, their conceptual understanding, and their capacity for independent learning. The findings indicated that the app positively influenced learners’ motivation and engagement by providing immediate feedback and step-by-step solution pathways. These features enabled students to follow logical problem-solving processes, thereby supporting deeper engagement with mathematical procedures and concepts. Participants further reported that Photomath facilitated the integration of mathematical ideas through its visual representations, symbolic explanations, and structured guidance. Such affordances supported self-directed learning by allowing learners to verify solutions independently, revisit explanations, and regulate their own pace of learning. While a minority of respondents expressed concerns regarding potential overreliance on the application and the risk of superficial understanding when used uncritically, the overall perceptions remained strongly positive. In conclusion, the study demonstrates that Photomath functions not only as a computational tool but also as a pedagogical aid that supports learner-centered instructional approaches. When used thoughtfully, the application has the potential to enhance conceptual understanding, foster autonomy, and complement formal mathematics instruction in higher education contexts.