Dergiler / IOJET / 2021 / Cilt: 8 - Sayı: 2

ERRORS AND MISCONCEPTIONS OF EIGHTH-GRADE STUDENTSREGARDING OPERATIONS WITH ALGEBRAIC EXPRESSIONS

Dergi
IOJET
Sayfa
1106–1126
Yayın Tarihi
2022-10-18
DOI
—
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

It was also observed that the number of students with the following misconceptions were close to each other: “The operation on one side of the equation should also be applied to the other side so that the equality is not broken”, “we should take into account the order of operation priority in integers while writing the sentences as algebraic expressions,” and “everything before the parenthesis is distributed to the parentheses.” The reasons for the emergence of these misconceptions were found to beepistemological barriers and over-generalization of information in arithmetic.

📌 3 Maddede Bu Makale

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Amaç & Hipotez:The study aimed to determine the mistakes of students in operations with algebraic expressions, and their misconceptions that may lead to errors.
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Temel Bulgular & Veri:The participants were composed of 48 (24 boys, 24 girls) randomly selected among 8th grade students in three different classes from three different schools that were selected via convenience sampling method.
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Sonuç & Katkı:It was also observed that the number of students with the following misconceptions were close to each other: “The operation on one side of the equation should also be applied to the other side so that the equality is not broken”, “we should take into account the order of operation priority in integers while writing the sentences as algebraic expressions,” and “everything before the parenthesis is distributed to the parentheses.” The reasons for the emergence of these misconceptions were found to beepistemological barriers and over-generalization of information in arithmetic.
🔬Tür:Modelleme & Sayısal Simülasyon
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Alan Parametreleri

Abstract

The study aimed to determine the mistakes of students in operations with algebraic expressions, and their misconceptions that may lead to errors. The study adopted case study method, one of the qualitative research models. The participants were composed of 48 (24 boys, 24 girls) randomly selected among 8th grade students in three different classes from three different schools that were selected via convenience sampling method. To determine students’ errors and misconceptions, the “Misconceptions Diagnostic Test for Operationswith Algebraic Expressions” was developed by the researchers, considering the curriculum, relevant literature, and researchers’ teaching experience. The diagnostic test included 10 open-ended questions. In addition, clinical interviews were conducted with all students on their wrong answers. Results indicated that the most common misconception was that the minus at the beginning of the algebraic expression had no meaning and that half of the students had this misconception. It was also observed that the number of students with the following misconceptions were close to each other: “The operation on one side of the equation should also be applied to the other side so that the equality is not broken”, “we should take into account the order of operation priority in integers while writing the sentences as algebraic expressions,” and “everything before the parenthesis is distributed to the parentheses.” The reasons for the emergence of these misconceptions were found to beepistemological barriers and over-generalization of information in arithmetic.

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Bu Makaleye Atıf Yap

AYGÜN, D., GÜÇ, F. A. (2022). ERRORS AND MISCONCEPTIONS OF EIGHTH-GRADE STUDENTSREGARDING OPERATIONS WITH ALGEBRAIC EXPRESSIONS. IOJET, Cilt: 8 - Sayı: 2, 1106–1126. https://ajindex.com/articles/542170

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Kaynakça (13)

  1. Akkaya, R., & Durmuş, S. (2006). Misconceptions of elementary school students in grades 6- 8 on learning algebra. Hacettepe University Journal of Education, 31(31), 1-12.
  2. Akyüz, G., & Hangül, T. (2014). A study on overcoming misconceptions of 6th graders about equations. Journal of Theoretical Educational Science, 7(1), 16-43.
  3. Arnawa, I. M., & Nita, S. (2019, October). Errors and misconceptions in learning elementary linear algebra. Journal of Physics: Conference Series, 1321(2). Booth, J. L., & Koedinger, K. R. (2008). Key misconceptions in algebraic problem solving. In Proceedings of the Annual Meeting of the Cognitive Science Society, 30(30). Cohen, E., & Kanim, S. E. (2005). Factors influencing the algebra “reversal error”. American Journal of Physics, 73(11), 1072-1078.
  4. Cortes, A., & Pfaff, N. (2000). Solving equations and inequations: operational invariants and methods constructed by students. In PME Conference, 2(2), 2-193.
  5. Das, K. (2020). A study on misconception of using brackets in arithmetic expression. Shanlax International Journal of Education, 8(4), 76-80.
  6. Davidenko, S. (1997). Building the concept of function from students' everyday activities. The Mathematics Teacher, 90(2), 144-149.
  7. Draper, C., & Lott, J. W. (2020). Addressing early algebra misconceptions and misinformation in classrooms. Wisconsin Teacher of mathematics, 1, 32-35.
  8. Erbaş, A. K., Cetinkaya, B., & Ersoy, Y. (2009). Student difficulties and misconceptions in solving simple linear equations, Education and Science, 34(152), 44-59.
  9. Gall, M. Gall., & Borg, W. (2007). Educational research: An introduction (8th ed.). New York: Pearson. Gomes, J. C., & Jaques, P. A. (2020). A data-driven approach for the identification of misconceptions in step-based tutoring systems. Anais do XXXI Simpósio Brasileiro de Informática na Educação, 1122-1131.
  10. Grouws, D. A. (Ed.). (1992). Handbook of research on mathematics teaching and learning. New York, USA: Macmillan. Gürel, Z. Ç. & Okur, M. (2017). The Misconceptions of $7^{th} and $8^{th} Graders on the Equality and Equation Topics. Cumhuriyet International Journal of Education, 6(4), 479-507.
  11. Hall, R. D. (2002). An analysis of errors made in the solution of simple linear equations. Philosophy of mathematics education journal, 15(1), 1-67.
  12. Herscovics, N. & Linchevski, L. (1994). Cognitive gap between arithmetic and algebra. Educational Studies in Mathematics, 27(1), 59-78.
  13. Kaput, J. (1999). Teaching and learning a new algebra. In E. Fennema and T.