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Effect of Tibial Malrotation on Anterior and Posterior Cruciate Ligaments in Bicruciate-Retaining Total Knee Arthroplasty Sa’audi, Muhammad Saakeereen; Abdullah, Abdul Halim; Shuib, Solehuddin; Mat Raffei, Muhammad Azim; Mohd Miswan, Mohd Fairudz; Mohd Anuar, Mohd Afzan
Makara Journal of Technology Vol. 28, No. 2
Publisher : UI Scholars Hub

Show Abstract | Download Original | Original Source | Check in Google Scholar

Abstract

Osteoarthritis (OA) is a musculoskeletal disorder specified as a joint disease that affects mostly human joints worldwide. Total knee arthroplasty (TKA) is performed to restore the affected joint and relieve the symptoms. However, tibial malrotation, which is one of the most common errors in TKA, results in poor function of the implant and pain after the procedure. People with OA often experience limited mobility and cannot accomplish daily tasks. Finite element analysis (FEA) has been widely applied to interpret the biomechanical and kinematic force along the joint and investigate the cruciate ligament’s mechanical behavior. Unfortunately, one of the problems in TKA implants is their malalignment affecting tibial rotation. This study employs FEA to investigate the relationship between tibial malrotation and the consequent displacements and forces in the anterior cruciate ligament (ACL) and posterior cruciate ligament (PCL). A subject-specific knee model is used to study the effects of ligament model complexity and simulated ligament wrapping on knee biomechanics and kinematics. Tibial malrotation had a more considerable effect on ACL than on PCL. In terms of ligament forces, both anterior and posterior PCL bundles generated notably greater forces compared with the ACL bundles, with averages of 26823.92 ± 13.32 N and 2796.49 ± 23.98 N, respectively. The displacement of the PCL bundles was also substantial, equaling 26.37 ± 0.01 mm in the anterior and 18.87 ± 0.08 mm in the posterior. Correct implant alignment is essential to avoid overtensioning of the ligament and offers knee joint ligament balance that can restore native knee kinematics.
Proportional Reasoning of Junior High School Students in Solving Geometric Similarity Problems Based on Mathematical Disposition Rahmania Putri, Kartika; Shodikin, Ali; Abdullah, Abdul Halim
RANGE: Jurnal Pendidikan Matematika Vol. 7 No. 2 (2026): Range Januari 2026
Publisher : Pendidikan Matematika UNIMOR

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.32938/jpm.v7i2.9839

Abstract

Proportional reasoning is the foundation of mathematical abilities, including algebra, geometry, and statistics, and is influenced by students' mathematical dispositions. The transition from additive to multiplicative reasoning plays a crucial role in problem-solving. This study explores junior high school students' strategies in understanding geometric similarity through a qualitative case study involving three students in Surabaya selected through purposive sampling based on high, medium, and low mathematical dispositions This study uses a qualitative approach with a case study method.  The subjects of the study consisted of three eighth-grade students purposively selected to represent high, medium, and low mathematical disposition, allowing an in-depth examination of how different dispositions influence proportional reasoning. The instruments used were similarity problem worksheets and semi-structured interview guidelines. Data were collected through student answers and interviews, then analysed through data reduction, data presentation, and drawing conclusions. The results showed differences in proportional reasoning strategies according to mathematical disposition: S1 at level 3 (Formal Reasoning), S2 at level 2 (Quantitative Reasoning), and S3 at level 0 (Non-Proportional Reasoning). Proportional reasoning develops when quantity coordination and multiplicative strategies are used in an integrated manner, in line with each student's mathematical disposition. Student with high disposition consistently use ratio-based multiplicative strategies, student with medium disposition use multiplicative strategies, while student with low disposition tend to use additive rules or random approaches. These findings are exploratory and can serve as a basis for studying misconceptions and developing proportional learning.
Developing STEAM-Based Digital Mathematics Teaching Materials to Enhance Creativity Mutmainnah, Mutmainnah; Saleh, Sitti Fitriani; Abdullah, Abdul Halim; Jumrah, Jumrah; Nurwanda, Nurwanda; Ahmadhani, Ahmadhani
Prisma Sains : Jurnal Pengkajian Ilmu dan Pembelajaran Matematika dan IPA IKIP Mataram Vol. 14 No. 2: April 2026
Publisher : Universitas Pendidikan Mandalika

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.33394/j-ps.v14i2.18609

Abstract

This study was motivated by the low level of creativity among elementary school students in mathematics learning, which is still largely dominated by conventional methods and rote memorization. The aim of this study was to develop digital mathematics teaching materials based on the STEAM approach (Science, Technology, Engineering, Arts, and Mathematics) to enhance students' creativity. This study employed a Research and Development (R&D) design using the ADDIE model, which consists of Analysis, Design, Development, Implementation, and Evaluation. The analysis stage was conducted through classroom observations and interviews to identify learning needs. The developed product was validated by education experts, subject-matter experts, and STEAM experts, and was subsequently tested for practicality by teachers and students, as well as for effectiveness through the implementation of STEAM-based digital mathematics teaching materials at Lab School SD Unismuh Makassar. The results of the needs analysis indicated a demand for more interactive learning strategies and media that could help students understand concepts visually and contextually. The design of STEAM-based digital mathematics teaching materials in elementary schools is not only oriented toward academic outcomes, but also toward shaping students' character, creativity, and 21st-century skills. The evaluation results from the three validators (education expert, subject-matter expert, and STEAM expert) showed an average score of 3.28 or 85.56%, which falls into the very valid category. The practicality test involving teachers and students yielded an average score of 3.3 or 82.5%, which falls within the interval of 70% ≤ P < 85% and is categorized as practical. This indicates that the teaching materials were considered easy to use, clear, and relevant to students' learning needs. The implementation results showed a significant improvement. The analysis demonstrated that STEAM-based digital mathematics teaching materials contributed to an increase in students' creativity. Descriptively, the mean creativity score increased from 2,799 (pretest) to 3,399 (posttest). This improvement was also supported by a class N-gain score of 0.500 (moderate category), indicating a meaningful improvement in learning from an educational perspective. Furthermore, the paired-sample difference test revealed a significant difference between the pretest and posttest results (Sig. 2-tailed = 0.002 < 0.05), confirming that the use of STEAM-based digital teaching materials had a significant effect on improving students' creativity.
From computation to justification: Prospective mathematics teachers’ conceptions of proof in learning limits Purnomo, Heri; Rosyidi, Abdul Haris; Wijayanti, Pradnyo; Abdullah, Abdul Halim
Al-Jabar: Jurnal Pendidikan Matematika Vol 17 No 2 (2026): Al-Jabar: Jurnal Pendidikan Matematika
Publisher : Universitas Islam Raden Intan Lampung, INDONESIA

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24042/ajpm.v17i2.30888

Abstract

Purpose: This study investigated the conceptions of proof of prospective mathematics teachers’ learning limits, with a particular focus on how these conceptions were manifested in representational activity. Method: A qualitative teaching-research design was used to collect data from 82 first-year prospective mathematics teachers enrolled in a Calculus I course at a public university in Indonesia. The main data were prospective mathematics teachers’ written responses to an ε–δ limit proof task, classroom discussions, and reflective teaching notes. Data was analysed using iterative, thematic coding and constant comparative analysis, following a representational-epistemic framework. Findings: Four qualitatively different conceptions of proof were identified: proof as computation, proof as algebraic procedure, proof as formal display, and proof as logical argument. Most participants used computational or procedural approaches and a small proportion of participants constructed logically coherent deductive arguments. The results indicate that prospective mathematics teachers’ difficulties are not only related to algebraic manipulation but also to understanding the epistemic function of proof in university mathematics. Specifically, ε–δ notation was often taken as a formality of notation rather than as a relational structure for reasoning. Significance: The study adds to research on the secondary–tertiary transition in mathematics education by demonstrating the relationship between prospective mathematics teachers' representational practices and different conceptions of proof. The findings are also relevant to designing introductory calculus instruction to support prospective mathematics teachers’ transition from verifying procedures to deductive justification.