Mathematics, local language, and cultural education: an exploration of Indonesian educators’ perspectives

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Purpose Given ongoing challenges in making mathematics education meaningful in culturally diverse settings, this study aims to investigate how mathematics and language together shape cultural education. It examines how the formal language of mathematics interacts with students’ cultural backgrounds and how this relationship influences student engagement and perception of mathematics. Design/methodology/approach This mixed-method study involved 15 high school mathematics teachers in Indonesia. Data were collected through a 10-item Likert-scale questionnaire and semi-structured interviews. Quantitative data were analyzed descriptively, while qualitative responses underwent thematic analysis to identify patterns related to how mathematical language is used and interpreted in culturally embedded ways. Findings Findings reveal that students often perceive mathematics negatively because of the abstract nature of its language, which feels disconnected from their lived experiences. Teachers noted that students engage better when mathematical concepts are linked to cultural elements or expressed in local languages. Examples such as arithmetic patterns in traditional music or geometric forms in local art are often overlooked in formal instruction. The study highlights the missed opportunity to use mathematics as a culturally embedded language to enhance student understanding and motivation. Originality/value This study contributes to the ethnomathematics field by exploring the linguistic dimensions of mathematics as a culturally responsive teaching tool. It emphasizes that aligning mathematical instruction with cultural and linguistic contexts can support more inclusive, engaging and meaningful learning. The findings provide valuable insights for educators and curriculum developers aiming to integrate cultural identity into mathematics education.

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This article describes a laboratory supplementary program that was integrated into a traditional mining engineering mathematics unit. The practical classes consisted of computer investigations designed to help develop mathematical concepts. The program described here was mainly web based and did not directly rely on a computer algebra system for its implementation. An evaluation of the program is included. References S. Cunningham. The visualization environment for mathematics education. In Visualization in Teaching and Learning Mathematics , ed. W. Zimmermann and S. Cunningham, 67--76. USA, Mathematical Association of America, 1991. A. Franco, P. Franco, A. Garcia, F. Garcia, F. J.Gonzalez, S. Hoya, G. Rodriguez, and A. de la Villa. Learning calculus of several variables with new technologies. The International Journal of Computer Algebra in Mathematics Education , 7 (4), 295--309, 2000. B. E. Garner and L. E. Garner. Retention of concepts and skills in traditional and reformed applied calculus. Mathematics Education Research Journal , 13 (3), 165--184, 2001 S. Habre. Visualization enhanced by technology in the learning of multivariate calculus. The International Journal of Computer Algebra in Mathematics Education , 8 (2), 115--130, 2001. B. H. Hallet. Visualization and calculus reform. In Visualization in Teaching and learning Mathematics , ed. W. Zimmermann and S. Cunningham, 121--126, 1991. USA, Mathematical Association of America F. Marton and R. Saljo. Approaches to learning. In eds. F. Marton, D. Hounsell and N. Entwistle, The Experience of Learning , 36--55, 1984. Scottish Academic Press, Edinburgh. R. Moreno and R. Mayer. Verbal redundancy in multimedia learning; When reading helps listening. Journal of Educational Psychology , 94 (1), 153--163, 2002. L. D. Murphy. Computer algebra systems in calculus reform, MSTE, University of Illinois at Urbana-Champaign, 1999. http://mste.illinois.edu/users/Murphy/Papers/CalcReformPaper.html M. Pemberton. Integrating web-based maple with a first year calculus and linear algebra course. Proceedings of the 2nd International Conference on the Teaching of Mathematics , Hersonissos, Greece, July 2002. http://www.math.uoc.gr/ ictm2/Proceedings/pap316.pdf R. Pierce and K. Stacey. Observations on students' responses to learning in a cas environment. Mathematics Education Research Journal , 13 (1), 28--46, 2001. M. D. Roblyer. Integrating Educational Technology Into Teaching (4th Ed.), 2006. Pearson, New Jersey, USA. J. Stewart. Calculus (5th Ed.), 2003. Brooks/Cole, Belmont, USA. E. J. Tonkes, B. I. Loch and A. W. Stace. An innovative learning model for computation in first year mathematics. International Journal of Mathematical Education in Science and Technology , 36 (7), 751--759, 2005. L. M. Villarreal. A step in the positive direction: Integrating a computer laboratory component into developmental algebra courses. Mathematics and Computer Education , 37 (1), 72--78, 2003. S. Vinner. The pseudo-conceptual and the pseudo-analytical thought processes in mathematics learning. Educational Studies in Mathematics , 34 (2), 97--129, 1997. P. Vlachos and A.K. Kehagias. A computer algebra system and a new approach for teaching business calculus. The International Journal of Computer Algebra in Mathematics Education . 7 (2), 87--104, 2000.

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The persistent low performance in mathematics among Grade 7 students at Madrid National High School underscores the need for innovative teaching strategies that foster deeper understanding, engagement, and problem-solving skills. This study investigates the effectiveness of five pedagogical approaches—Concrete-Pictorial-Abstract (CPA), problem-solving, differentiated instruction, modeling and simulation, and manipulative-based teaching—in enhancing students' mathematical proficiency. Grounded in constructivist and cognitive learning theories, these methods aim to bridge the gap between abstract mathematical concepts and students' comprehension by providing interactive, student-centered learning experiences. Utilizing a mixed-methods, explanatory research design incorporating quasi-experimental methods, this study examines the impact of these approaches through pre- and post-test assessments, teacher adeptness evaluations, and student perception and engagement surveys. The findings reveal a significant improvement in students' mathematical performance following the implementation of these strategies. Additionally, the study explores the correlation between learning outcomes and students' engagement levels, as well as the relationship between teacher proficiency in these methods and student achievement. Despite limitations such as sample size and study duration, the results highlight the potential of these innovative teaching strategies to transform mathematics education. The study provides practical recommendations for educators, curriculum developers, and policymakers to integrate these methods effectively, fostering a more inclusive and dynamic learning environment. Furthermore, the research contributes to the broader field of mathematics education by offering evidence-based solutions to enhance student comprehension and achievement.

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Augmented reality (AR) has gained considerable attention in academic research as a primary instructional tool to enhance learning across various educational levels, including mathematics education. AR enables the overlaying of three-dimensional images onto real-world environments within an academic setting. While AR has demonstrated its potential to improve learning outcomes in academic contexts, there is a need for a comprehensive review to identify, assess, and summarize empirical findings related to student engagement, particularly in mathematics education. Consequently, a systematic review was conducted to examine the uses of AR in student engagement in mathematics education. A thorough electronic search was performed on the Scopus database to retrieve pertinent journal articles. After applying inclusion and exclusion criteria, 18 studies were selected for analysis. The results reveal that AR can facilitate student engagement in three key aspects: interactive, collaborative, and immersive experiences. Although AR offers several advantages for promoting student engagement in mathematics education, its practical implementation in educational settings requires careful consideration of AR application and content design and close collaboration between educators and technology. Furthermore, the successful integration of AR technology relies on the well-planned implementation of learning programs that effectively incorporate AR elements for mathematics education.

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