Zun Azizul Hakim
UIN Sayyid Ali Rahmatullah Tulungagung

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Undergraduate students’ mathematical reasoning in numeracy-based tasks: A Rasch model approach Dewi Hamidah; Jerhi Wahyu Fernanda; Zun Azizul Hakim; Galuh Nuril Lathifah
Jurnal Elemen Vol 12 No 2 (2026): April
Publisher : Universitas Hamzanwadi

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.29408/jel.v12i2.34118

Abstract

Mathematical reasoning is essential in higher education because it enables students to formulate conjecture, generalize patterns, and justify. This study examined undergraduate students’ mathematical reasoning, operationalized through conjecturing, generalizing, and justifying, in two numeracy tasks. A purposive sample of 185 mathematics education students from the first, third and fifth semesters at a State University in Kediri, Indonesia, participated in the study. Responses were scored using an analytic rubric and analyzed with the Rasch model to estimate item difficulty and person ability, evaluate item fit and reliability, and examine Differential Item Functioning (DIF) across gender, Grade Point Average (GPA), and semester level. The results indicated that conjecturing and justifying were the most challenging aspects for students, while evidence of generalizing was relatively limited. Rasch analysis verified the instrument’s validity and reliability, with all items satisfying fit requirements, while DIF analysis indicated no significant demographic bias. However, observed patterns suggested that female students tended to be more systematic and accurate, male students were generally more flexible but less consistent, and students with higher GPAs displayed stronger logical reasoning. These findings highlight the importance of instructional strategies that intentionally foster mathematical reasoning and suggest future research involving multiple institutions and longitudinal designs.
The Relationship Between Emotional Intelligence And Work Engagement Among Employees In Small Growing Company Mochamad Zainun Abadi; Zun Azizul Hakim
Psycho Idea Vol. 23 No. 2 (2025): Psycho Idea
Publisher : Universitas Muhammadiyah Purwokerto

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.30595/psychoidea.v23i2.25780

Abstract

Low work engagement in growing companies often leads to high turnover and decreased productivity. This study examines the role of personal resources in maintaining employee performance by investigating the correlation between emotional intelligence (EI) and work engagement. Using a total sampling technique, the research involved 50 male employees at UD Jaya Kapuk, a small growing company. This homogenous and controlled sample was intentionally selected to minimize confounding variables such as gender and generational differences, ensuring high internal validity within the specific organizational context. Data analysis using Pearson's correlation revealed a strong positive correlation (r = 0.652, p < 0.001) between EI and work engagement. This finding suggests that higher EI is significantly associated with higher work engagement, providing a baseline for targeted interventions in similar small-scale enterprises. Future research may extend these findings to broader demographics to complement the specific insights established in this study.