Proceedings of The ICECRS
Vol 8 (2020): Educational and Psychological Conference in the 4.0 era
Articles

Characteristics of Student Mental Models in Negative Round Numbers
Karakteristik Model Mental Siswa Pada Bilangan Bulat Negatif


PDF
  • Tri Febri Marta Lasmana,
  • Mohammad Faizal Amir
Tri Febri Marta Lasmana
Universitas Muhammadiyah Sidoarjo, Indonesia
Mohammad Faizal Amir
Universitas Muhammadiyah Sidoarjo, Indonesia
Picture in here are illustration from public domain image or provided by the author, as part of their works
DOI: https://doi.org/10.21070/icecrs2020435
Published June 18, 2020
Keywords
  • Characteristics,
  • Mental Models,
  • Negative Integers
How to Cite
Lasmana, T. F. M., & Amir, M. F. (2020). Characteristics of Student Mental Models in Negative Round Numbers. Proceedings of The ICECRS, 8. https://doi.org/10.21070/icecrs2020435

Copyright (c) 2020 Tri Febri Marta Lasmana, Mohammad Faizal Amir

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

Crossref
Scopus
Google Scholar
Europe PMC

Abstract

The purpose of this study is to know, to describe, and to analyze students' mental model on negative integers. This research uses a descriptive qualitative approach. The data collection techniques use test, observation, interview, and documentation. The data analysis techniques use data reduction, data presentation, and conclusions. The result shows that there are three characteristics of students' metal model, the characteristics of early mental model on negative integers are only able to understand the minus sign as a count operation, students with formal mental model characteristics on negative integers understand the existence of negative numbers that have values ​​smaller than 0 but do not understand that numbers going left on the number line, it can be smaller values. Students with formal mental model characteristics on negative integers understand the direction on the number line and the value of each number correctly. It can be concluded that in understanding the scale of negative integer values ​​and negative integer places on number line, every student has different characteristics. The characteristics of the early mental model are the characteristics of the lowest mental model, the characteristics of the synthesis mental model are the characteristics of the moderate mental model and the characteristics of the formal mental model are the characteristics of the highest mental model in understanding negative integers.

PDF

Downloads

Download data is not yet available.

References

  1. Dyah Tri Wahyuningtyas, Penggunaan Media Mobil Mainan Untuk Meningkatkan Pemahaman Konsep Operasi Hitung Bilangan Bulat. Malang: Universitas Kanjuruhan Malang.
  2. D. . Norman., Mental models. 1983.
  3. J. M. Carroll and Judith Reitmen Olson, Mental Models In Human-Computer Interaction. Washington, D.C, 1987.
  4. I. Peled, S. Mukhopadhyay, and L. B. Resnick, “Proceedings of the 13th Annual Conference of the International Group for the Psychology of Mathematics Education,” Psychol. Math. Educ., vol. 3, pp. 106–110, 1989.
  5. S. Vosniadou and W. F. Brewer, “Mental models of the earth: A study of conceptual change in childhood,” Cogn. Psychol., vol. 24(4), pp. 535–585, 1992.
  6. Indah Sylvia, “Penggunaan Media Garis Bilangan Untuk Meningkatkan Hasil Belajar Operasi Penjumlahan Dan Pengurangan Bilangan Bulat,” Univ. Negri Surabaya, vol. 2, 2014.
  7. Laura Bofferding, “Negative integer understanding : Characterizing first graders’ mental model,” Purdue Univ., vol. 45, pp. 194–245, 2014.
  8. Sugiyono, Metode Penelitian Pendidikan Pendekatan Kuantitatif, Kualitatif, dan R&D. Bandung, 2017.
  9. I. Whitacre, J. P. Bishop, L. L. C. Lamb, R. A. Philipp, and M. L. Lewis, “Happy and sad thoughts: An exploration of children’s integer reasoning,” J. Math. Behav., vol. 31(3), pp. 356–365, 2012.
  10. B. B. Schwarz, A. S. Kohn, and L. B. Resnick, “Positives about negatives: A case study of an intermediate model for signed numbers,” J. Learn. Sci., vol. 3(1), 1993.
  11. I. Peled, S. Mukhopadhyay, and L. B. Resnick, “Formal and informal sources of mental models for negative numbers,” Proc. 13th Annu. Conf. Int. Gr. Psychol. Math. Educ., vol. Vol. 3 pp, pp. 106–110, 1989.