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All Journal International Journal of Evaluation and Research in Education (IJERE) Jambura Journal of Biomathematics (JJBM)
Apdo, Rolly Najial
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Computer Science & IT Decision Sciences, Operations Research & Management Education Mathematics

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Boosting algebra mastery through activity-based learning in an indigenous peoples education secondary school Apdo, Rolly Najial; Apdo, Rachel Basañez
International Journal of Evaluation and Research in Education (IJERE) Vol 14, No 5: October 2025
Publisher : Institute of Advanced Engineering and Science

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.11591/ijere.v14i5.33969

Abstract

Algebra is a fundamental area of mathematics, yet many students, particularly indigenous learners, struggle with its concepts and procedures. This study examines the impact of activity-based learning on the conceptual understanding and procedural skills of junior high school students in an indigenous peoples education (IPEd) school. Using a mixed-methods approach, 105 indigenous students from grades 7 to 9 at Daan Taligaman Integrated Secondary School (DTISS), Philippines, participated. Pre-test and post-test scores were analyzed using a paired-samples t-test, while thematic analysis explored students’ learning experiences. The results revealed significant improvements in both conceptual understanding and procedural skills, with grade 7 scores increasing from 41.08% to 80.38% (conceptual) and 34.83% to 74.13% (procedural). A similar trend was apparent for the grades 8 and 9 students. Key themes identified were engagement and enjoyment, increased confidence, and improved understanding. The study highlights the effectiveness of interactive, culturally responsive learning strategies in enhancing algebra mastery among indigenous students and calls for their integration into mathematics education.
Qualitative analysis of a Mathematical model of COVID-19 with intervention strategies in the Philippines Apdo, Rolly Najial; Paluga, Rolando Namalata
Jambura Journal of Biomathematics (JJBM) Volume 4, Issue 1: June 2023
Publisher : Department of Mathematics, Universitas Negeri Gorontalo

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.34312/jjbm.v4i1.18990

Abstract

This paper focuses on the development of a mathematical model to analyze the transmission dynamics of COVID-19 in the Philippines, where the pandemic has significantly impacted the population despite several quarantine measures, testing, contact tracing, and vaccinations. The model considers the impact of contact tracing and vaccination campaigns on disease transmission. The model is analyzed qualitatively and numerically, and the results show that increasing the contact tracing rate and vaccination rate can effectively reduce the reproduction number of the virus. The disease-free equilibrium is found to be locally asymptotically stable when the basic reproduction number is less than one, and the disease-endemic equilibrium is locally asymptotically stable when the basic reproduction number is greater than one. The study suggests that a contact tracing rate greater than 0.08847694 is required to effectively manage the transmission of COVID-19 in the target population. These findings provide insights for policymakers and public health officials in developing effective strategies to mitigate the impact of the pandemic.
Mathematical Modeling of Teenage Pregnancy Focused on Awareness and Behavioral Change Apdo, Rachel Basanez; Apdo, Rolly Najial; Gumombal, Iranly Tavera
Jambura Journal of Biomathematics (JJBM) Volume 6, Issue 4: December 2025
Publisher : Department of Mathematics, Universitas Negeri Gorontalo

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.37905/jjbm.v6i4.31415

Abstract

Teenage pregnancy remains a significant public health concern, particularly in the Philippines.   This study extends a previous SIT model by introducing a behavioral relapse pathway (Ω) that represents the rate at which informed adolescents revert to risky sexual behavior.   The model divides the population into susceptible, corrupted, and aware compartments, incorporating contraceptive use and sex education.   Analytical results show that the corruption-free equilibrium is locally asymptotically stable when R0       1,  while  corruption persists when R0     1.  Numerical simulations reveal that increasing Ω from 0.01 to 0.2 raises the long-term corrupted population fraction from approximately 8% to more than 25% with transient peaks up to 22%, even with high awareness levels. A local sensitivity analysis further reveals that the recruitment rate (ω), voluntary cessation rate (π), and natural death rate (µ) exert the greatest influence on long-term outcomes. These findings highlight that sustained awareness campaigns must be coupled with strategies that minimize relapse into risky behavior, such as continuous sex education, peer mentorship, and counter-misinformation initiatives.
Co-Authors Apdo, Rachel Basañez Gumombal, Iranly Tavera Paluga, Rolando Namalata