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Range : Jurnal Pendidikan Matematika
Published by Universitas Timor
ISSN : 26852373     EISSN : 26852373     DOI : https://doi.org/10.32938/jpm
Core Subject : Education,
Education Mathematics
Range: Jurnal Pendidikan Matematika publishes original research or theoretical papers about teaching and learning in mathematics education study program on current science issues, namely: (1) Mathematics educator in elementary, secondary and high school level, (2) Mathematics observers and researchers, (3) Educational decisions maker on regional and national level. We recommend classroom action research, qualitative, descriptive, or quantitative. We may process manuscript of didactic development research (DDR) or research and development (R & D). Our publication could be research on teaching method, experiment of teaching aid or media, and even effectiveness of lesson study. We accepted any manuscript derived from research of mathematics education. We will not process manuscript from research approach of school management.
Arjuna Subject : Matematika - Matematika (Lain-Lain)
Articles 144 Documents
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Stimulating Students’ Critical Mathematical Thinking through STEAM-Based Mitigation Learning Activities: Design and Validation Pramasdyahsari, Agnita Siska; Setyawati, Putri; Setyawati, Rina Dwi; Dahal, Niroj
RANGE: Jurnal Pendidikan Matematika Vol. 7 No. 1 (2025): Range Juli 2025
Publisher : Pendidikan Matematika UNIMOR

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.32938/jpm.v7i1.9673

Abstract

Integrating Science, Technology, Engineering, Art, and Mathematics (STEAM) with real-world issues, such as disaster mitigation in mathematics education, has the potential to foster students’ critical thinking through interdisciplinary and problem-based learning. However, existing instructional designs often lack contextual relevance and do not fully incorporate STEAM principles or the Engineering Design Process (EDP). This study employed a research and development approach using the 4D model (Define, Design, Develop, Disseminate) to create STEAM-based mathematics learning activities centred on disaster mitigation topics. Ten ninth-grade mathematics teachers from junior high schools in Semarang and Blora were involved in the development and validation process. Data were collected through expert validation sheets and teacher questionnaires, and analyzed using the Rasch model with the Winstep application. The developed learning activities demonstrated high reliability with a Rasch reliability coefficient of 0.90, indicating strong internal consistency and practical relevance. Expert validation confirmed the content and construct validity of the materials, supporting their feasibility for classroom implementation.  The validation results suggest that the design is potentially suitable for classroom implementation, based on expert judgment and instrument validation outcomes. The study provides a validated and practical design for STEAM-based mathematics instruction that contextualizes disaster mitigation to enhance students’ critical thinking. Moreover, this innovative integration of STEAM and EDP offers a validated, practical STEAM-based mathematics learning design that supports teachers and enhances students’ critical thinking through real-world contexts. Its novelty is that it integrates STEAM and the EDP into disaster-themed mathematics learning to contextualize problem-solving and enhance students’ critical thinking.
Analyzing Students’ Cognitive Processes on Trigonometric Functions beyond 90 Degrees through the DAPIC Framework Sholahudin, Usep; Oktaviyanthi, Rina; Garcia, Mark Lester B
RANGE: Jurnal Pendidikan Matematika Vol. 7 No. 1 (2025): Range Juli 2025
Publisher : Pendidikan Matematika UNIMOR

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.32938/jpm.v7i1.9683

Abstract

Understanding trigonometric functions at angles beyond 90 degrees presents unique cognitive challenges for students, requiring the integration of conceptual, procedural, and representational knowledge. However, research exploring how students cognitively process such problems, especially within a structured framework, remains limited. This study aims to analyze students’ cognitive processes in solving trigonometric problems involving beyond-90-degree angles through the DAPIC framework (Define, Assess, Plan, Implement, Communicate), offering a novel application of DAPIC to this underexplored context. A qualitative case study approach was employed, involving six 11th-grade students from a public high school with varying cognitive levels. Data were collected through diagnostic tasks, think-aloud protocols, and semi-structured interviews, and were analyzed by mapping students’ thinking patterns, defined as the recurring sequences of cognitive moves and representation use observed across DAPIC stages. The results reveal that high-performing students demonstrated flexible shifts between symbolic, graphical, and unit circle representations and were capable of self-regulating their errors reflectively. In contrast, students with moderate and low performance encountered difficulties in identifying the quadrant of angles and understanding the periodic nature of trigonometric functions, particularly during the Assess and Plan stages. Adaptive strategies, such as visual re-checking or intuitive quadrant reasoning, emerged spontaneously but were not always effective. These findings suggest that DAPIC serves as a systematic tool for capturing the dynamics of students’ thinking processes and offers valuable insights for developing deeper instructional strategies in trigonometry, especially for topics involving beyond-90-degree angles.
Investment Risk Analysis Using Value at Risk With Monte Carlo Simulation: Investment risk analysis Cellia Clara, Nur; Rakhmawati, Fibri
RANGE: Jurnal Pendidikan Matematika Vol. 7 No. 1 (2025): Range Juli 2025
Publisher : Pendidikan Matematika UNIMOR

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.32938/jpm.v7i1.9692

Abstract

This study aims to evaluate and compare the investment risk levels of three primary financial instruments in Indonesia: the Indonesia Composite Index (IHSG), Bank Central Asia (BCA) with code BBCA stock, and gold. Using the Value at Risk (VaR) approach based on Monte Carlo simulation, the research integrates these assets into a unified risk assessment model, providing a more comprehensive perspective than prior studies that typically examine individual assets or use historical estimation methods. Monthly historical price data from April 2024 to March 2025 were obtained from the Indonesia Stock Exchange and the Central Bureau of Statistics. The analysis involved calculating asset returns, means, and standard deviations, followed by 10,000 Monte Carlo simulation iterations to generate potential future price paths and estimate losses under market uncertainty. The results, at a 95% confidence level, show that IHSG carries the highest investment risk, with a VaR of IDR 9,331.16, followed closely by BBCA stock at IDR 9,210.31. Gold exhibited the lowest risk level, with a VaR of IDR 6,896.86, confirming its role as a more stable and less volatile investment compared to equity-based assets. These findings highlight the reliability of gold as a defensive asset during turbulent market conditions. The application of Monte Carlo simulation effectively captures the non-normal distribution of returns and accommodates complex market behaviors, making it a robust tool for financial risk modeling. This research offers meaningful insights for investors, analysts, and academics in optimizing portfolio strategies and improving risk management decisions.
Extensions of Schauder’s Fixed Point Theorem for Lipschitz Operators under Weakened Compactness Conditions Fernandez, Aloysius Joakim; Lakapu , Meryani
RANGE: Jurnal Pendidikan Matematika Vol. 7 No. 1 (2025): Range Juli 2025
Publisher : Pendidikan Matematika UNIMOR

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.32938/jpm.v7i1.9696

Abstract

This is a literature review focusing on the existence of fixed-point in Banach Space. This research aims to investigate the existence of fixed-point in Banach Space by examining the Schauder Fixed-Point Theorem and its extensions. This research began with a review of fundamental concepts such as metric space, compactness, convexity, and operator in Banach Space, the research proceeds to analyse the proof of the Schauder Fixed Point Theorem, which asserts that every continuous mapping on a compact and convex subset of Banach Space has a fixed point. This research further extends this result by examining cases where it is not the operator itself but the image of the operator that is compact yet still guarantees the existence of a fixed point. These findings broaden the applicability of Schauder Fixed-Point Theorem and suggest potential for its use in mathematical problems involving nonlinear-operators in infinite-dimensional spaces.   

Page 15 of 15 | Total Record : 144

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