674
Abstract Views
393
PDF Download
Articles

Mathematical Reasoning of Vocational High School Students on Mathematical Tasks in the Law of Demand Context

Pages [101-113]

Abstract

This study aims to describe the mathematical reasoning abilities of vocational high school students in the business and management expertise in solving mathematical tasks in the law of demand context. This research uses the descriptive qualitative method. The participants consisted of six students categorized into three groups: high, medium, and low mathematical abilities. Participants from one of the vocational schools in Ciamis, Indonesia. Mathematical tasks to explore students' mathematical reasoning abilities in the law of demand context. The law of demand is a concept in business economics subjects. The task situation expanded as an alternative to solving more mathematical tasks—data from the results of student answers and interviews. Data analysis refers to the characteristics of mathematical reasoning, which consists of imitative and creative reasoning. The stages of data analysis are reduction, presentation, interpretation, inference, and verification. The results of data analysis show that all students tend to do imitative reasoning on each given task. Students tend to remember the law of demand formulas and perform mathematical procedures that they remember. Students often perform mathematical procedures that are not by the nature of mathematics so that the resulting solution is wrong. The law of demand questions designed to explore creative reasoning abilities has not been able to bring students to the flow of creative mathematical reasoning.

There is no Figure or data content available for this article

References

  • Abrantes, P. (2001). Mathematical competence for all: Options, implications, and obstacles. Educational Studies in Mathematics, 47(2), 125–143. https://doi.org/10.1023/A:1014589220323

    Acedo, C., & Hughes, C. (2014). Principles for learning and competencies in the 21st-century curriculum. Prospects, 44(4), 503–525. https://doi.org/10.1007/s11125-014-9330-1

    Aruka, Y. (2015). The Historic Design of the Demand Law and Its Reconstruction. In Evolutionary Foundations of Economic Science. Evolutionary Economics and Social Complexity Science, vol 1 (1st ed., pp. 35–64). Springer.

    Bakker, A. (2014). Characterizing and developing vocational mathematical knowledge. Educational Studies in Mathematics, 86(2), 151–156. https://doi.org/10.1007/s10649-014-9560-4

    Bakker, Arthur, Groenveld, D., Wijers, M., Akkerman, S. F., & Gravemeijer, K. P. E. (2014). Proportional reasoning in the laboratory: An intervention study in vocational education. Educational Studies in Mathematics, 86(2), 211–221. https://doi.org/10.1007/s10649-012-9393-y

    Boesen, J., Lithner, J., & Palm, T. (2010). The relation between types of assessment tasks and the mathematical reasoning students use. Educational Studies in Mathematics, 75(1), 89–105. https://doi.org/10.1007/s10649-010-9242-9

    Fatimah, A. T., & Prabawanto, S. (2020). Mathematical understanding and reasoning of vocational school students in agriculture-based mathematical tasks. Journal for the Education of Gifted Young Scientists, 8(2), 701–712. https://doi.org/10.17478/JEGYS.702884

    Fatimah, A. T., Pramuditya, S. A., & Wahyudin, W. (2019). Imitative and creative reasoning for mathematical problem solving (in context horticultural agribusiness). Journal of Physics: Conference Series, 1157(4). https://doi.org/10.1088/1742-6596/1157/4/042092

    FitzSimons, G. E. (2014). Commentary on vocational mathematics education: Where mathematics education confronts the realities of people’s work. Educational Studies in Mathematics, 86(2), 291–305. https://doi.org/10.1007/s10649-014-9556-0

    FitzSimons, G. E., & Björklund Boistrup, L. (2017). In the workplace mathematics does not announce itself: towards overcoming the hiatus between mathematics education and work. Educational Studies in Mathematics, 95(3), 329–349. https://doi.org/10.1007/s10649-017-9752-9

    Inglar, T. (2014). Proficiency forms and vocational pedagogical principles. JISTE, 18(2), 30–40. https://files.eric.ed.gov/fulltext/EJ1087570.pdf

    Johnson, H. L., Coles, A., & Clarke, D. (2017). Mathematical tasks and the student: navigating “tensions of intentions” between designers, teachers, and students. ZDM - Mathematics Education, 49(6), 813–822. https://doi.org/10.1007/s11858-017-0894-0

    Khoeriyah, D. A. N., & Ahmad, A. (2020). Penerapan Model Pembelajaran Problem Solving Dengan Pendekatan Saintifik Pada Kemampuan Penalaran Matematis Siswa Kelas VIII B SMP Negeri 1 Padamara. AlphaMath : Journal of Mathematics Education, 6(1), 62. https://doi.org/10.30595/alphamath.v6i1.7943

    Lithner, J. (2000a). Mathematical reasoning and familiar procedur. International Journal of Mathematical Education in Science and Technology, 31(1), 83–95. https://doi.org/10.1080/0020739950260101

    Lithner, J. (2000b). Mathematical reasoning in task solving. Educational Studies in Mathematics, 41(2), 165–190. https://doi.org/10.1023/A:1003956417456

    Lithner, J. (2003). Students’ mathematical reasoning in university textbook exercises. Educational Studies in Mathematics, 52(1), 29–55. https://doi.org/10.1023/A:1023683716659

    Lithner, J. (2004). Mathematical reasoning in calculus textbook exercises. Journal of Mathematical Behavior, 23(4), 405–427. https://doi.org/10.1016/j.jmathb.2004.09.003

    Lithner, J. (2008). A research framework for creative and imitative reasoning. Educational Studies in Mathematics, 67(3), 255–276. https://doi.org/10.1007/s10649-007-9104-2

    Lithner, J. (2017). Principles for designing mathematical tasks that enhance imitative and creative reasoning. ZDM - Mathematics Education, 49(6), 937–949. https://doi.org/10.1007/s11858-017-0867-3

    Nicol, C. (2002). Where’s the math? prospective teachers visit the workplace 1. Educational Studies in Mathematics, 50, 289–309.

    Niss, M. (2003). Mathematical Competencies and the Learning of Mathematics : the Danish Kom Project. Proceedings of the 3rd Mediterranean Conference on Mathematical Education, 115-124.

There is no Supplemental content for this article.

How to Cite This

Fatimah, A. T. (2021). Mathematical Reasoning of Vocational High School Students on Mathematical Tasks in the Law of Demand Context. AlphaMath : Journal of Mathematics Education, 7(2), [101–113]. https://doi.org/10.30595/alphamath.v7i2.10585

Article Metrics

Download Statistics

Other Statistics

Verify authenticity via CrossMark

Copyright and Permissions

Authors published in this journal agree to the following terms:

  • The copyright of each article is retained by the author (s) without restrictions
  • The journal allows the author(s) to retain publishing rights without restrictions
  • The author grants the journal the first publication rights with the work simultaneously licensed under the Creative Commons Attribution License, allowing others to share the work with an acknowledgement of authorship and the initial publication in this journal.
  • Authors may enter into separate additional contractual agreements for the non-exclusive distribution of published journal versions of the work (for example, posting them to institutional repositories or publishing them in a book), with acknowledgement of their initial publication in this journal
  • Authors are permitted and encouraged to post their work online (For example in the Institutional Repository or on their website) before and during the submission process, as this can lead to productive exchanges, as well as earlier and larger citations of published work
  • Articles and all related material published are distributed under a Creative Commons Attribution-4.0 International Public License (CC - BY 4.0).

 

License

Creative Commons License

AlphaMath: Journal of Mathematics Education is licensed under a Creative Commons Attribution- 4.0 International Public License (CC - BY 4.0).

You are free to :

Share — copy and redistribute the material in any medium or format

Adapt — remix, transform, and build upon the material for any purpose, even commercially

Data Availability

 

Indexed by





Statcounter

AlphaMath 

Template

Tools & Support