Abdul J. Jamara
Davao del Norte State College, Institute of Teacher Education, Philippines

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BSEd Mathematics Students’ Geometry Problem-Solving Skills and Van Hiele Levels of Thinking John Leo M. Mobe; Jean Rose V. Napilay; Mizzy B. Taytayon; Rhys Jr C. Cañon; Abdul J. Jamara
Applied AI and Machine Learning Journal Vol 1 No 2 (2026): June
Publisher : Goodwood Publishing

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.35912/aiml.v1i2.3797

Abstract

Purpose: This study assessed the problem-solving skills of Bachelor of Secondary Education (BSEd) major in Mathematics students in Geometry using Van Hiele’s level-of-thinking theory. Research Methodology: This study employed a quantitative, non-experimental descriptive design to examine differences in students’ problem-solving skills in geometry based on their profiles. Participants were randomly selected, and data were collected using the Van Hiele Geometry Test (VHGT) and the Geometry Problem Solving Questionnaire (GPSQ). Statistical analyses included frequency, mean, standard deviation, and Welch’s analysis of variance (ANOVA). Results: Nearly half of the participants (45%) were categorized as Not Fit, indicating insufficient background knowledge in geometric thinking for the Van Hiele hierarchy. Statistical analysis showed p-values of 0.326 and 0.255, providing insufficient evidence to reject the null hypothesis. These findings suggest that the problem-solving skills of BSEd Mathematics students do not significantly differ across age groups or year levels. Conclusions: The analysis established that no significant difference exists in students’ problem-solving skills when grouped based on the demographic profile, which are age, gender, and year level, whose p-values are 0.326, 0.255, and 0.575, respectively. Limitations: This study needs to be investigated further by conducting studies that investigate other elements that influence students’ problem-solving abilities in geometry. In addition, the study was limited to a single institution (Davao del Norte State College), which lacks generalizability of results. Contributions: These findings suggest that mathematics teachers are recommended to utilize diverse and interactive instructional strategies that will improve and develop students’ geometric problem-solving skills that is outlined in Van Hiele levels of thinking.
Problem-Solving Skills in Trigonometry as Influenced by Emotional Intelligence and Mathematics Self-Efficacy Jasmin Joyce C. Valer; Mariel L. Alpas; Ronique Byrlle B. Gaborne; Jobelyn C. Macangga; Abdul J. Jamara
Applied AI and Machine Learning Journal Vol 1 No 2 (2026): June
Publisher : Goodwood Publishing

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.35912/aiml.v1i2.3963

Abstract

Purpose: This study aimed to determine whether emotional intelligence and mathematics self-efficacy significantly influence the trigonometry problem-solving skills of first- and second-year Bachelor of Secondary Education major in Mathematics students at Davao del Norte State College. Methodology: A descriptive correlational research design was used. A total of 120 students were randomly selected as the respondents. Data were gathered using adapted questionnaires for emotional intelligence and mathematics self-efficacy, along with a researcher-developed test for trigonometry problem-solving skills. Mean, standard deviation, and Spearman’s rho correlation were used for data analysis. Results: The findings revealed that the students demonstrated high levels of emotional intelligence (M = 4.03, SD = 0.46) and mathematics self-efficacy (M = 3.58, SD = 0.52). Their problem-solving performance was also relatively high (M = 35.4, SD = 4.78). However, no significant relationship was found between emotional intelligence and problem-solving skills (r = –0.002, p = 0.979) or between mathematics self-efficacy and problem-solving skills (r = 0.047, p = 0.609). Conclusions: Emotional intelligence and mathematics self-efficacy were not significant predictors of trigonometry problem-solving performance. The findings suggest that cognitive and instructional factors may play a more critical role in students’ mathematical performance. Limitations: The study was limited to first- and second-year mathematics education students from a single institution, used self-reported questionnaires, and a researcher-developed trigonometry test with few items, focusing only on affective variables. Contributions: The study provides evidence that emotional intelligence and mathematics self-efficacy minimally predict trigonometry problem-solving, highlighting the importance of cognitive and instructional factors, and offering guidance for future research and teaching interventions.