Research Article

Development of a Mathematical Language Scale in Fraction Teaching (MLSFT)

Volume: 9 Number: 2 March 1, 2022
EN

Development of a Mathematical Language Scale in Fraction Teaching (MLSFT)

Abstract

This study aims to develop a valid and reliable measuring instrument that can measure the level of mathematical language used by students and their teachers during the teaching of fractions to fourth-grade primary school students. This study is a methodological validity and reliability study. In total, 999 students from fourteen different secondary schools were separated into two other sampling groups, where they participated in the sample of the survey for Exploratory Factor Analysis (EFA) and Confirmatory Factor Analysis (CFA). These stages are identified as the item pool stage, the testing validity of scope stage (expert opinion stage), the factor analysis stage (construct validity), and the reliability stage. Mathematical language scale in the teaching of fractions consists of the student approach, the use of fraction language and the use of symbols, and the written expressions of sub-dimensions. The exploratory factor analysis method (EFA) shows that the instrument can be built on three factors. It is also confirmed by the confirmatory factor analysis (CFA). It can be accepted according to NFI indexes. As a result, the mathematical language scale is found to be valid and reliable in fraction teaching. To this end, it can be stated that the MLSFT scale can be used in fraction teaching for elementary school students to reveal their abilities and the skills of teachers in terms of mathematical language used.

Keywords

fractions teaching, mathematical language, reliability, scale development, validity

Supporting Institution

TÜBİTAK

Project Number

1919B021601240

Thanks

TUBİTAK 2228-B Yüksek Lisans Öğrencileri için Doktora Burs Programı kapsamında Doktora tezime verdiği katkılardan dolayı TÜBİTAK'a teşekkür ederim.

References

  1. Aydın, Funda, and Özmen, Zeynep Medine. (2012). Sözel problemlerde 8. sınıf öğrencilerinin verilenler ile istenilenler arasındaki ilişkiyi belirleyebilme becerileri, “In verbal problems, 8th grade students' ability to determine the relationship between given and desired” X. Ulusal Fen Bilimleri ve Matematik Eğitimi Kongresi, Niğde Üniversitesi, Niğde, https://www.pegem.net/Akademi/kongrebildiri_detay.aspx?id=135846
  2. Aydın, S., and Yeşilyurt, M. (2007). Student’s view about the language used in mathematics teaching”: Electronıc journal of social siıences, 6 (22), 90-100.
  3. Başol, G., Çakan, M., Kan, A., Özbek, Ö.Y., Özdmir, D., and Yaşar, M. (2008). Eğitimde Ölçme ve Değerlendirme. “Measurement and Evaluation in Education” Ankara: Pegem Akademi.
  4. Brown, M. W., and Cudeck, R. (1993). Alternative ways of assessing model fit. edited by K. A. Bollen, J. S. Long, Testing structural equation models, 136–162. Thousand Oakes, CA: Sage.
  5. Büyüköztürk, Ş. (2011). Veri Analizi El kitabı: İstatistik, Araştırma Deseni, SPSS Uygulamaları ve Yorum. “Data Analysis Handbook: Statistics, Research Design, SPSS Applications and Interpretation” Ankara: Pegem Akademi.
  6. Coakes, S. J. (2005). SPSS: Analysis without Anguish: Version 12.0 for Windows. Melbourne: John Wiley and Sons.
  7. Çalıkoğlu Bali, G. (2002). Language in mathematics teaching scale, Hacettepe University Journal of Education, 23, 57-61.
  8. Çalıkoğlu Bali, G. (2003). The opinions of pre-service mathematics teachers on language in teaching mathematics. Hacettepe University Journal of Education, 25, 19-25.
  9. Çapık, C. (2014). Geçerlik ve güvenirlik çalışmalarında doğrulayıcı faktör analizinin kullanımı. Anadolu Hemşirelik ve Sağlık Bilimleri Dergisi, 17(3), 196-205.
  10. Çimen, E. E. (2012). The planning of education and instruction process which fosters development of mathemaical power. Education Sciences, 7(2), 823-839.
APA
Bal İncebacak, B., & Ersoy, E. (2022). Development of a Mathematical Language Scale in Fraction Teaching (MLSFT). Participatory Educational Research, 9(2), 71-87. https://doi.org/10.17275/per.22.29.9.2
AMA
1.Bal İncebacak B, Ersoy E. Development of a Mathematical Language Scale in Fraction Teaching (MLSFT). PER. 2022;9(2):71-87. doi:10.17275/per.22.29.9.2
Chicago
Bal İncebacak, Belgin, and Esen Ersoy. 2022. “Development of a Mathematical Language Scale in Fraction Teaching (MLSFT)”. Participatory Educational Research 9 (2): 71-87. https://doi.org/10.17275/per.22.29.9.2.
EndNote
Bal İncebacak B, Ersoy E (March 1, 2022) Development of a Mathematical Language Scale in Fraction Teaching (MLSFT). Participatory Educational Research 9 2 71–87.
IEEE
[1]B. Bal İncebacak and E. Ersoy, “Development of a Mathematical Language Scale in Fraction Teaching (MLSFT)”, PER, vol. 9, no. 2, pp. 71–87, Mar. 2022, doi: 10.17275/per.22.29.9.2.
ISNAD
Bal İncebacak, Belgin - Ersoy, Esen. “Development of a Mathematical Language Scale in Fraction Teaching (MLSFT)”. Participatory Educational Research 9/2 (March 1, 2022): 71-87. https://doi.org/10.17275/per.22.29.9.2.
JAMA
1.Bal İncebacak B, Ersoy E. Development of a Mathematical Language Scale in Fraction Teaching (MLSFT). PER. 2022;9:71–87.
MLA
Bal İncebacak, Belgin, and Esen Ersoy. “Development of a Mathematical Language Scale in Fraction Teaching (MLSFT)”. Participatory Educational Research, vol. 9, no. 2, Mar. 2022, pp. 71-87, doi:10.17275/per.22.29.9.2.
Vancouver
1.Belgin Bal İncebacak, Esen Ersoy. Development of a Mathematical Language Scale in Fraction Teaching (MLSFT). PER. 2022 Mar. 1;9(2):71-87. doi:10.17275/per.22.29.9.2