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Investigation and Analysis on the Interactions Between Mathematics Literacy Skills Using Mathematical Modeling

Received: 18 July 2024     Accepted: 8 August 2024     Published: 27 August 2024
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Abstract

This study investigated and analyzed the interactions between mathematics literacy skills using mathematical modeling. The study used an ASMD model to represent the population of individuals who have skills on addition (A), subtraction (S), multiplication (M) and division (D). The objectives achieved were that the recruitment parameter and coefficient of leaving any compartments significantly influence the system based on the free-equilibrium analysis of mathematics literacy skills. The study showed that system has direct and indirect dynamics in the three states: subtraction, multiplication and division. It also revealed that addition skill is easier to learn than others. Subtraction and multiplication do not interact and have no inter coefficient. The system showcased that good number of individuals are not efficient and effective in the utilization of these skills from the endemic equilibrium of the model showed that En>1 (asymptotically unstable). Finally, this study discovered that these elementary skills in mathematics is fundamental to learners, educated and uneducated, support continued inclusive, workable economic growth, full creative employment, decent work and improve academic performance for all at all levels and in the world at large. The study recommends that curriculum planners should give more time to study these skills thoroughly say one academic session, discourage the use of calculator at early stage, student and teacher factors should be taken into considerations and so on.

Published in Mathematics Letters (Volume 10, Issue 2)
DOI 10.11648/j.ml.20241002.11
Page(s) 12-18
Creative Commons

This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited.

Copyright

Copyright © The Author(s), 2024. Published by Science Publishing Group

Keywords

Mathematics Literacy Skills, Mathematical Model, Equilibrium Analysis, Effective Usage Number

References
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[2] Julie, H., Sanjaya, F. & Anggoro, Y. (2017): The Students’ Ability in Mathematical Literacy for Uncertainty Problems on the PISA Adaptation Test AIP Conference Proceedings (Yogyakarta: Universitas Negeri Yogyakarta).
[3] Lasalle J. & Lefschetz S. (1976). The stability of dynamical systems. SIAM, Philadelphia.
[4] Mhakure, D. (2020): Using Mathematical Modelling in the Teaching and Learning of Mathematical Literacy: Perspectives on the South African Context.
[5] Maslihah, S.; Waluya, S. B.; Rochmad, Kartono, Karomah, N. & Iqbal, K. (2021): Increasing mathematical literacy ability and learning independence through problem-based learning model with realistic mathematic education approach. Journal of Physics: Conference Series, Volume 1918, Mathematics and Its Application
[6] Molly, M. (2013). Computational Skills retrieved from SpringerReference. Items. America: Brown Center on Education Policy, The Brookings Institution Press.
[7] Nkuturum, C. & George, I. (2022): Mathematical Modelling of Skilling Fishery Management for Sustainable Development of an Economy. IJMAM 5(3), 121-136.
[8] Nkuturum, C. (2023): Mathematics Literacy as Panacea for Sustainable Development Goals and its Mathematical Model. FNAS- Journal of Scientific Innovations. 5 (1), 115-121.
[9] Okuonghae D. (2019). Theoretical analysis of a mathematical model for the dynamics of corruption: a guide from epidemiological modelling. Journal of the Nigerian Society for Mathematical Biology, Vol 2: 1-13.
[10] Rizki, L. M. & Priatna, N. (2019). Mathematical literacy as the 21st century skill. International Conference on Mathematics and Science Education (ICMScE 2018), IOP Conf. Series: Journal of Physics: Conf. Series 1157, 042088; IOP Publishing,
[11] Rum, A. M. & Juandi, D. (2022). Students’ Difficulties in Solving Mathematical Literacy Problem Level 3, Level 4 and Level 5. In A. Ben Attou, M. L. Ciddi, & M. Unal (Eds.), Proceedings of ICSES 2022-- International Conference on Studies in Education and Social Sciences (pp. 123-135), Antalya, Türkiye. ISTES Organization.
[12] Stacey, K. (2011): The PISA View of Mathematical Literacy in Indonesia. Journal Mathematics Education 2, 95-126.
[13] Yaprak Armutcu & Ayten Pınar Bal (2022): The Effect of Mathematical Modeling Activities Based on STEM Approach on Mathematics Literacy of Middle School Students. International Journal of Educational Studies in Mathematics, 2022, 9(4), 233-253
[14] Wijaya, A. (2016): Students’ Information Literacy: A Perspective from Mathematical Literacy IndoMS Journal Mathematics Education 7, 73–82.
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  • APA Style

    Christiana, N., Peters, N. (2024). Investigation and Analysis on the Interactions Between Mathematics Literacy Skills Using Mathematical Modeling. Mathematics Letters, 10(2), 12-18. https://doi.org/10.11648/j.ml.20241002.11

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    ACS Style

    Christiana, N.; Peters, N. Investigation and Analysis on the Interactions Between Mathematics Literacy Skills Using Mathematical Modeling. Math. Lett. 2024, 10(2), 12-18. doi: 10.11648/j.ml.20241002.11

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    AMA Style

    Christiana N, Peters N. Investigation and Analysis on the Interactions Between Mathematics Literacy Skills Using Mathematical Modeling. Math Lett. 2024;10(2):12-18. doi: 10.11648/j.ml.20241002.11

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  • @article{10.11648/j.ml.20241002.11,
      author = {Nkuturum Christiana and Nwagor Peters},
      title = {Investigation and Analysis on the Interactions Between Mathematics Literacy Skills Using Mathematical Modeling
    },
      journal = {Mathematics Letters},
      volume = {10},
      number = {2},
      pages = {12-18},
      doi = {10.11648/j.ml.20241002.11},
      url = {https://doi.org/10.11648/j.ml.20241002.11},
      eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ml.20241002.11},
      abstract = {This study investigated and analyzed the interactions between mathematics literacy skills using mathematical modeling. The study used an ASMD model to represent the population of individuals who have skills on addition (A), subtraction (S), multiplication (M) and division (D). The objectives achieved were that the recruitment parameter and coefficient of leaving any compartments significantly influence the system based on the free-equilibrium analysis of mathematics literacy skills. The study showed that system has direct and indirect dynamics in the three states: subtraction, multiplication and division. It also revealed that addition skill is easier to learn than others. Subtraction and multiplication do not interact and have no inter coefficient. The system showcased that good number of individuals are not efficient and effective in the utilization of these skills from the endemic equilibrium of the model showed that En>1 (asymptotically unstable). Finally, this study discovered that these elementary skills in mathematics is fundamental to learners, educated and uneducated, support continued inclusive, workable economic growth, full creative employment, decent work and improve academic performance for all at all levels and in the world at large. The study recommends that curriculum planners should give more time to study these skills thoroughly say one academic session, discourage the use of calculator at early stage, student and teacher factors should be taken into considerations and so on.
    },
     year = {2024}
    }
    

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  • TY  - JOUR
    T1  - Investigation and Analysis on the Interactions Between Mathematics Literacy Skills Using Mathematical Modeling
    
    AU  - Nkuturum Christiana
    AU  - Nwagor Peters
    Y1  - 2024/08/27
    PY  - 2024
    N1  - https://doi.org/10.11648/j.ml.20241002.11
    DO  - 10.11648/j.ml.20241002.11
    T2  - Mathematics Letters
    JF  - Mathematics Letters
    JO  - Mathematics Letters
    SP  - 12
    EP  - 18
    PB  - Science Publishing Group
    SN  - 2575-5056
    UR  - https://doi.org/10.11648/j.ml.20241002.11
    AB  - This study investigated and analyzed the interactions between mathematics literacy skills using mathematical modeling. The study used an ASMD model to represent the population of individuals who have skills on addition (A), subtraction (S), multiplication (M) and division (D). The objectives achieved were that the recruitment parameter and coefficient of leaving any compartments significantly influence the system based on the free-equilibrium analysis of mathematics literacy skills. The study showed that system has direct and indirect dynamics in the three states: subtraction, multiplication and division. It also revealed that addition skill is easier to learn than others. Subtraction and multiplication do not interact and have no inter coefficient. The system showcased that good number of individuals are not efficient and effective in the utilization of these skills from the endemic equilibrium of the model showed that En>1 (asymptotically unstable). Finally, this study discovered that these elementary skills in mathematics is fundamental to learners, educated and uneducated, support continued inclusive, workable economic growth, full creative employment, decent work and improve academic performance for all at all levels and in the world at large. The study recommends that curriculum planners should give more time to study these skills thoroughly say one academic session, discourage the use of calculator at early stage, student and teacher factors should be taken into considerations and so on.
    
    VL  - 10
    IS  - 2
    ER  - 

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