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Analysis of junior high school students' refractive thinking process in solving numeracy problems Janah, Rahmawati Fatkhul; Sujadi, Imam; Slamet, Isnandar
UNION : Jurnal Ilmiah Pendidikan Matematika Vol 12 No 3 (2024)
Publisher : Universitas Sarjanawiyata Tamansiswa

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.30738/union.v12i3.18446

Abstract

The purpose of this study is to examine how junior high school students use refractive thinking to solve algebraic problems based on their mathematical skill levels, specifically high and low. Refractive thinking involves a phase where students rethink and modify their approaches to solving algebraic problems. This qualitative study employs interviews and observational methods, with participants consisting of students with both high and low mathematical abilities. The results indicate that students with high mathematical ability navigate the stages of refractive thinking more effectively, including problem identification, strategy formulation, and evaluation. These students are often able to quickly identify errors and experiment with multiple strategies to arrive at better solutions. In contrast, students with low mathematical ability struggle with problem identification and tend to persist with initial, less effective approaches. These findings highlight significant differences in the refractive thinking processes of the two groups, underscoring the need to develop instructional strategies that foster reflective thinking skills, particularly for students with lower mathematical aptitude.
The Impact of Intelligence (IQ) and Learning Styles on Mathematics Learning Motivation and Achievement in Secondary School Students Prayitno, Hadi; Sujadi, Imam; Slamet, Isnandar; Pramesti, Getut
Jurnal Riset Pendidikan dan Inovasi Pembelajaran Matematika Vol. 9 No. 1 (2025): JRPIPM SEPTEMBER 2025
Publisher : Universitas Negeri Surabaya

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.26740/jrpipm.v9n1.p101-117

Abstract

This study aims to examine the influence of intelligence quotient (IQ) and learning styles on students’ learning motivation and mathematics achievement among tenth-grade high school students. The research employed a quantitative approach using an ex post facto design. A total of 83 students participated in the study, selected through a census sampling technique, as the entire population of tenth-grade students was included. Instruments used in this study included an IQ test, a learning style questionnaire (covering auditory, visual, and kinesthetic styles), a motivation questionnaire, and a mathematics achievement test. Data analysis involved instrument validity and reliability testing, classical assumption tests (normality and homogeneity), and multivariate analysis (MANOVA) to assess both the direct and interaction effects of IQ and learning styles on learning motivation and mathematics achievement. The results showed that IQ had a significant effect on mathematics achievement (p < 0.05), but no significant effect on learning motivation. Learning styles did not significantly influence either mathematics achievement or learning motivation. Furthermore, there was no significant interaction between IQ and learning styles in relation to either outcome. The coefficient of determination (R²) indicated that the model explained 26.3% of the variance in mathematics achievement and 16.5% of the variance in learning motivation. It can be concluded that IQ contributes to students’ success in mathematics, while learning motivation and performance are also shaped by other factors beyond IQ and learning styles. These findings highlight the importance of instructional strategies that consider students’ intellectual capacities along with affective and contextual factors
FORECASTING STATIONARY CLIMATE DATA USING AUTOREGRESSIVE MODELS AND HIGH-ORDER FUZZY Kayyisa, Alfien Diva; Sulandari, Winita; Slamet, Isnandar
BAREKENG: Jurnal Ilmu Matematika dan Terapan Vol 20 No 1 (2026): BAREKENG: Journal of Mathematics and Its Application
Publisher : PATTIMURA UNIVERSITY

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.30598/barekengvol20iss1pp0313-0324

Abstract

Forecasting is essential for improving aviation safety, with air humidity being a critical factor influenced by air temperature. This study analyzes daily humidity data from I Gusti Ngurah Rai Airport, one of Indonesia’s busiest air stations, using two time series modeling approaches: Autoregressive (AR) and high-order fuzzy modeling. The objective is to evaluate and compare their forecasting accuracy. Historical daily data from the Meteorology, Climatology, and Geophysics Agency of Indonesia were used to build the forecasting models. The optimal linear AR model served as the foundation for constructing the AR high-order fuzzy model, which incorporates linguistic rules to capture nonlinear patterns. Both models were implemented and evaluated using the Mean Squared Error (MSE) metric. Results show that the AR(2) model outperforms the AR high-order fuzzy model, achieving a lower MSE of 13.23. This suggests that the AR(2) model provides more accurate humidity forecasts over the observed period. These findings offer practical insights for policymakers and decision-makers in forecasting daily humidity levels and supporting aviation operations. While the study confirms the effectiveness of traditional AR modeling, it also highlights limitations of the fuzzy approach, particularly its sensitivity to parameter tuning and data sparsity. The integration of high-order fuzzy modeling represents a novel contribution to this domain, though further refinement is needed to enhance its forecasting performance.
Co-Authors Abda Abda Adi Wicaksono, Nanda Anggraini, Putri Nurika Aprilia, Nabila Churin Aulia Ar Rakhman Awaludin Ayuningrum, Retna Azhar, Zenitha Amalia B Budiyono Budiyono Budiyono Budiyono, Budiyono Ek Ajeng Rahmi Pinahayu Fachry Abda El Rahman Fhadilla, Nahdatul Fitriana, Laila Fitriana, Laila Nur Getut Pramesti Hadi Prayitno, Hadi Handajani, Sri Sulistijowati Heldy Ramadhan Putra P Hendriyanto, Agus Heritin, Anisak Hermawati, Evi Hodiyanto, Hodiyanto Husna Afanyn Khoirunissa Ikrar Pramudya, Ikrar Imam Sujadi Imam Suryadi, Imam Indra Raditya , Dionisius Indra Setyawan Irwan Susanto Isnaini, Bayutama Janah, Rahmawati Fatkhul Kadar, Jimmy Abdel Kayyisa, Alfien Diva Lintang Fitra Utami Mardiyana Mardiyana Meilasari, Venty Muhammad Riza Naufalia Nuraya, Naufalia Neyun, Ignasia N.G. Ningrum, Sri Adiningsih Utami Nugraha, Titis Jati Nugroho, Muhamad Asif Cahya Aji Nur Hasanah Nurfauziyyah, Nuha Pardede, Hilman Ferdinandus Permatasari, Nisa Permatasari, Nisa Pitra Dwiningsih, Pitra Pratama, Yulian Surya PUJI LESTARI Raditya, Dionisius Indra Ratri, Aninda Puspa Respatiwulan, Respatiwulan Sari, Putri Permata Shanti Indah Lestari, Shanti Indah Sri Subanti Suci Irawati Sugianto Sugianto Sugiyanto - Sugiyanto, Sugiyanto Sulandari, Winita Susanti, Sarah Wahyu Susilotomoa, Dhestahendra Citra Tajuddin, Annas Tasyah Tririnika, Yuliana Valentino, Yohanes Felix Vera Rosalina Bulu Wahyu Kurniawan Winita Sulandari Wulandari, Setyati Puji Yudi Pramono Pawiro, Yudi Pramono Yuliana Susanti, Yuliana Zukhronah, Etik