Linear Programming as a Mathematical Model in Solving Realistic Optimization Problems: A Theoretical Study
DOI:
https://doi.org/10.24252/msa.v14i1.67450Keywords:
Linear Programming, Optimization, Mathematical Modeling, Realistic Problems, Applied MathematicsAbstract
This article aims to theoretically examine the implementation of Linear Programming learning based on the Realistic Mathematics Education (RME) approach in mathematics instruction. Linear Programming is a fundamental topic in mathematics that is closely related to optimization problems encountered in real-life situations. However, in practice, this material is often presented in an abstract manner, leading to students’ difficulties in understanding both the underlying concepts and their applications. Therefore, an instructional approach that connects mathematical concepts with real-life contexts is essential. This study employs a literature review method by analyzing various relevant sources, including textbooks and scholarly journal articles related to Linear Programming and the RME approach. The findings indicate that RME possesses key characteristics that support the learning of Linear Programming, such as the use of real-world contexts, the process of mathematization, interactive learning, and the development of mathematical models. Through this approach, students are able to construct a more meaningful understanding of Linear Programming concepts, as learning begins with contextual problems that are closely related to their daily lives. Therefore, the Realistic Mathematics Education approach can be considered an effective alternative for developing more contextual and meaningful Linear Programming instruction.
References
Arcavi, A. (2003). The role of visual representations in the learning of mathematics. Educational Studies in Mathematics, 52(3), 215–241.
Bazaraa, M. S., Jarvis, J. J., & Sherali, H. D. (2010). Linear Programming and Network Flows. Wiley.
Blum, W., & Niss, M. (1991). Applied mathematical problem solving, modelling, applications, and links to other subjects. Educational Studies in Mathematics, 22(1), 37–68.
Creswell, J. W. (2014). Research Design: Qualitative, Quantitative, and Mixed Methods Approaches (4th ed.). Thousand Oaks, CA: Sage Publications.
Freudenthal, H. (1991). Revisiting Mathematics Education: China Lectures. Dordrecht: Kluwer Academic Publishers.
Gravemeijer, K. (1994). Developing Realistic Mathematics Education. Utrecht: Freudenthal Institute.
Hillier, F. S., & Lieberman, G. J. (2015). Introduction to Operations Research (10th ed.). New York: McGraw-Hill Education.
Laurens, T., Batlolona, F., Batlolona, J., & Leasa, M. (2017). Realistic mathematics education approach. EURASIA Journal of Mathematics Science and Technology Education, 13(7), 3073–3088.
Polya, G. (1973). How to Solve It: A New Aspect of Mathematical Method. Princeton: Princeton University Press.
National Council of Teachers of Mathematics. (2000). Principles and Standards for School Mathematics. Reston, VA: NCTM.
Schoenfeld, A. H. (2016). Learning to Think Mathematically. Routledge.
Taha, H. A. (2017). Operations Research: An Introduction (10th ed.). Pearson.
Treffers, A. (1987). Three Dimensions. Dordrecht: Reidel.
Van den Heuvel-Panhuizen, M., & Drijvers, P. (2014). Realistic mathematics education. Encyclopedia of Mathematics Education. Springer.
Winston, W. L., & Goldberg, J. B. (2004). Operations Research: Applications and Algorithms. Thomson.
Zed, M. (2014). Metode Penelitian Kepustakaan. Jakarta: Yayasan Pustaka Obor Indonesia.
Downloads
Published
How to Cite
Issue
Section
License
Copyright (c) 2026 Jurnal MSA ( Matematika dan Statistika serta Aplikasinya)
This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.
Copyright Notice
Jurnal MSA (Matematika dan Statistika serta Aplikasinya)
Authors who publish in Jurnal MSA agree to the following copyright and licensing terms.
1. Copyright Ownership
Authors retain copyright in their scholarly articles unless copyright is lawfully held by another authorized rights holder.
Publication in Jurnal MSA does not require an exclusive transfer or assignment of copyright ownership to the journal or its publisher.
2. Non-Exclusive Publishing Rights
Authors or authorized copyright holders grant Jurnal MSA non-exclusive rights of first journal publication, dissemination, indexing, and digital preservation.
These rights allow the journal to publish, reproduce, distribute, archive, and preserve the accepted scholarly article without transferring copyright ownership.
3. Publication License
Jurnal MSA adopts and applies the Creative Commons Attribution 4.0 International License (CC BY 4.0) as the standard license for scholarly articles published under its current publication terms.
Authors or authorized rights holders authorize publication of their articles under CC BY 4.0.
This license permits sharing, reproduction, redistribution, adaptation, and reuse, including commercial reuse, subject to the license terms and attribution requirements.
Official License:
https://creativecommons.org/licenses/by/4.0/
4. Non-Commercial Publishing Model
Jurnal MSA operates as a non-commercial scholarly publisher dedicated to education, scientific research, and scholarly communication.
The journal's non-commercial status does not restrict commercial reuse of articles licensed under CC BY 4.0.
5. Authors' Rights and Self-Archiving
Authors retain their applicable rights to reuse, share, and disseminate their scholarly works.
Authors may immediately deposit and distribute the published version of their CC BY 4.0-licensed articles through institutional repositories, disciplinary repositories, and academic websites without an embargo imposed by the journal.
Such distribution remains subject to the applicable license and third-party rights.
6. Author Consent and Third-Party Rights
By agreeing to publication, the corresponding author confirms that:
-
All listed authors have approved the manuscript and the publication arrangements.
-
The authors or authorized rights holders possess the legal authority necessary to authorize publication and licensing.
-
Jurnal MSA is granted the necessary non-exclusive publishing rights.
-
Publication of the article under CC BY 4.0 is authorized.
-
Required permissions for third-party materials have been obtained, and any licensing exclusions have been clearly identified.
7. Previously Published Articles
Articles published before the implementation of the current licensing policy remain governed by their validly applicable copyright and licensing arrangements.
The adoption of CC BY 4.0 does not automatically change licenses previously granted under different terms.
Copyright and License Statement
Copyright © [Year], The Author(s).
The author(s) retain copyright and grant Jurnal MSA non-exclusive rights of first publication, dissemination, indexing, and preservation.
This article is licensed under the Creative Commons Attribution 4.0 International License (CC BY 4.0).
