Assessing The Characteristics of Elementary School Students' Mental Models in Understanding The Concept of Integers

Authors

  • Anita Dewi Utami IKIP PGRI Bojonegoro, Indonesia, Indonesia
  • M. Zainudin IKIP PGRI Bojonegoro, Indonesia, Indonesia
  • Sa'in Noviana IKIP PGRI Bojonegoro, Indonesia, Indonesia

DOI:

https://doi.org/10.31004/basicedu.v5i6.1649

Keywords:

assessment, characteristic of mental model, the concept of integers

Abstract

This study aims to reveal the characteristics of the mental model of elementary school students in understanding the concept of integers. The subjects in this study were selected based on outlier criteria or unique responses to a series of tests given to 30 students of the third grade of elementary school. As a result, two students were chosen as research subjects. The research data were collected through observation and interviews. Observation made by the researchers were direct observations, in which the researchers see and observe the activities of students in doing the test. In addition, the researchers also conducted interviews with research subjects. The results of the students' works were reviewed, and then interviews were conducted to clarify the students' answers. The results showed that the characteristics of elementary school students in understanding integers did not always move from the synthetic stage to the formal stage, but there were lower grade students who were able to solve contextual problems related to integers. The process of forming students' formal mental models can be seen when they solve the temperature rise problem by counting fingers and comparing them with the zero symmetry position between negative and positive integers.

References

Aiken, L. R. (1985). Three Coeficients for Analyzing the Reliability and Validity Ratings. Educational and Psychological Measurement, 45, 131–142.

Aksoy, & Yajlik. (2017). Student Errors in Fractions and Possible Causes of These Errors. Journal of Education and Training Studies, 5(1), 1–12.

Barsalou, L. W. (1992). Cognitive Psychology: An Overview for Cognitive Scientist. Hillsdale., New Jersey: LEA (Lawrence Erlbaum Associates).

Bofferding, L. (2014). Negative Integer Understanding: Characterizing First Graders’ Mental Models. Journal for Research in Mathematics Education, 45(2), 194–245.

Bofferding, L., & Enzinger, N. W. (2017). Subtraction involving negative numbers: Connecting to whole number reasoning. The Mathematics Enthusiast, 12(3), 241 – 262.

Case, R. (1996). Introduction: Reconceptualizing the nature of children’s conceptual structures and their development in middle childhood. Monographs of the Society for Research in Child Development, 61(1), 1–26.

Fariha, M. (2019). Analisis Kesalahan Operasi Dasar Bilangan Bulat Peserta Diklat Teknis Substantif Guru Matematika MI di BDK Aceh Tahun 2018. Al-Khawarizmi : Jurnal Pendidikan Dan Pembelajaran Matematika, 3(1), 21–32.

Golafshani, N. (2003). Understanding reliability and validity in qualitative research. The Qualitative Report, 8(4), 597–606.

Jaber, L. Z., & Boujaoude, S. (2012). A Macro–Micro–Symbolic Teaching to Promote Relational Understanding of Chemical Reactions. International Journal of Science Education, 34(7), 973–998.

Lestari, E. (2017). Analisis Miskonsepsi Siswa oada materi aritmatika Sosial.

Mardapi, D. (2008). Teknik penyusunan instrumen tes dan nontes. Yogyakarta: Mitra Cendekia.

Mathison, S. (1988). Why triangulate? Educational Researcher, 17(2), 13–17.

Muslimin, Putri, R. I. I., & Somakim. (2012). Desain Pembelajaran Pengurangan Bilangan Bulat Melalui Permainan Tradisional Congklak Berbasis Pendidikan Matematika Realistik Indonesia di Kelas IV Sekolah Dasar. Jurnal Kreano, 3(2), 100–112.

Okamoto, Y., & Case, R. (1996). Exploring the microstructure of children’s central conceptual struc-ture in the domain of number. Monographs of the Society for Research in Child Development, 61(1), 27–58.

Özdemir, G., Clark, D. B., & . (2007). An Overview of Conceptual Change Theories. Eurasia. Journal of Mathematics, Science & Technology Education, 3(4), 351–361.

Park, E. J., & Light, G. (2009). Identifying Atomic Structure as a Threshold Concept: Student Mental Models and Troublesomeness. International Journal of Science Education, 31(2), 233–258.

Roselizawati, Sarwadi, & Masitah. (2014). Understanding Students’ Mathematical Errors and Misconceptions. Journal for Mathematics Education Trends and Research, 2(10), 219 – 233.

Saguni, F. (2019). Penerapan Teori Konstruktivisme dalam Pembelajaran. Jurnal Pedagogia, 8(2), 19–32.

Stafylidou, S., & Vosniadou, S. (2004). The development of students’ understanding of the numerical value of fractions. Learning and Instruction, 14(5), 503–518.

Utami, A. D., Sa’dijah, C., Subanji, & Irawati, S. (2018). Six Levels of Indonesian Primary School Students’ Mental Model in Comprehending The Concept of Integer. International Journal of Instruction, 11(4), 29–44.

Utami, A. D., Sa’dijah, C., Subanji, & Irawati, S. (2019). Students’ Pre-Initial Mental Model: The Case of Indonesian First-Year of College Students. International Journal of Instruction, 12(1), 1173–1188.

Vosniadou, S., & Brewer, W. F. (2004). Mental models of the earth: A study of conceptual change in childhood. Cognitive Psychology, 4(535–585).

Wahid, Agung, & Mirza. (2015). Miskonsepsi Siswa pada Materi Operasi pada Bentuk Aljabar Kelas VII pada SMP Haebat Islam. Jurnal Pendidikan Dan Pembelajaran, 4(1), 1–12.

Wildaniati, Y. (2015). Pembelajaran Matematika Operasi Hitung Bilangan Bulat dengan Alat Peraga. Elementary: Jurnal Ilmiah Pendidikan Dasar, 1(1), 33–40.

Yilmas, Z. (2017). Young Children’s Number Sense Development: Age Related Complexity across Cases of Three Children. International Electronic Journal of Elementary Education, 9(4), 891–902.

Zainudin, M., Subali, B., & Jailani. (2019). Construct Validity of Mathematical Creativity Instrument : First-Order and Second-Order Confirmatory Factor Analysis. International Journal of Instruction, 12(3).

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Published

2021-12-19

How to Cite

Utami, A. D., Zainudin, M., & Noviana, S. (2021). Assessing The Characteristics of Elementary School Students’ Mental Models in Understanding The Concept of Integers. Jurnal Basicedu, 5(6), 6409–6417. https://doi.org/10.31004/basicedu.v5i6.1649

Issue

Vol. 5 No. 6 (2021)

Section

Articles

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