Research Article
BibTex RIS Cite

Evaluation of Student Attitudes Using Multivariate Statistical Analysis

Year 2021, , 515 - 528, 30.12.2021
https://doi.org/10.54287/gujsa.1025050

Abstract

This study aims to classify the high school students’ attitudes towards Mathematics and Geometry courses with exploratory factor analysis and cluster analysis and to determine whether there is a difference between several variables determined using t-test. For this purpose, 1265 students were selected from 8 schools in Antalya province using by random sampling method and they were asked to respond to the survey form given to them. The collected data are classified using Factor Analysis and Cluster Analysis which are among the multivariate statistical methods. According to the factor analysis results, 4 factors were determined using the Geometry Attitude Scale, and two factors were determined by evaluating the Mathematics attitude scale. It was also investigated whether there was a difference between the attitudes of the students towards mathematics and geometry courses based on the averages of the responses provided by the students according to the variables of gender, grade level, and parents’ education level. The results of the analyses revealed that there was a significant difference according to the grade level, while it did not differ according to gender and education level of the parents. It was observed that the average increased as the grade level increased.

Supporting Institution

Akdeniz Üniversitesi

Project Number

FYL-2019-4384

Thanks

This work was supported by the Akdeniz University Scientific Research Projects (BAP) Coordination Unit with the project number FYL-2019-4384.

References

  • Akay, G. (2011). The effect of peer instruction method on the 8th grade students' mathematics achievement in transformation geometry and attitudes towards mathematics. MSc Thesis, Middle East Technical University.
  • Aktaş, M. C., & Aktaş, D. Y. (2013). Geometriye yönelik güncel bir tutum ölçeğinin geliştirilmesi. Necatibey Eğitim Fakültesi Elektronik Fen ve Matematik Eğitimi Dergisi, 7(2), 225-247. doi:10.12973/nefmed208
  • Albayrak, A. S. (2006). Uygulamalı Çok Değişkenli İstatistik Teknikleri. Ankara: Asil Yayın Dağıtım Ltd. Şti.
  • Alpar, R., (2017). Applied Multivariate Statistical Techniques. Ankara: Detay Yayincilik.
  • Anderberg, M R. (1973). Cluster Analysis for Applications. Elsevier. doi:10.1016/C2013-0-06161-0
  • Askar, P. (1986). Developing Attitude Mathematics Scala. Education and Science, 8, 31-36.
  • Avci, E., Özenir, Ö. S., Coşkuntuncel, O., Özcihan, H. G., & Su, G. (2014). Ortaöğretim Öğrencilerinin Geometri Dersine Yönelik Tutumları. Turkish Journal of Computer and Mathematics Education, 5(3), 304-317.
  • Avcu, R., & Avcu, S. (2015). Turkish adaptation of Utley geometry attitude scale: A validity and reliability study. Eurasian Journal of Educational Research, 58, 1-23. doi:10.14689/ejer.2015.58.1
  • Bartlett, M. S. (1950). Tests of significance in factor analysis. British Journal of Statistical Psychology, 3(2), 77-85. doi:10.1111/j.2044-8317.1950.tb00285.x
  • Berger, N., Mackenzie, E., & Holmes, K. (2020). Positive attitudes towards mathematics and science are mutually beneficial for student achievement: a latent profile analysis of TIMSS 2015. The Australian Educational Researcher, 47, 409-444. doi:10.1007/s13384-020-00379-8
  • Bindak, R. (2004). Geometri tutum ölçeği güvenirlik geçerlik çalışması ve bir uygulama. PhD Thesis. Dicle University, Diyarbakır.
  • Box, J. F. (1987). Guinness, Gosset, Fisher, and small samples. Statistical science, 2(1), 45-52.
  • Bramlett, D. C. & Herron, S. (2007) A study of African-American college students’ attitudes towards mathematics. Journal of Mathematical Sciences and Mathematics Education, 3(2), 43-51.
  • Buyukozturk, Ş. (2002). Faktör Analizi: Temel Kavramlar ve Ölçek Geliştirmede Kullanımı. Kuram ve Uygulamada Eğitim Yönetimi, 32, 470-483.
  • Caglayan, O. S. (2010), The capability of high school 1st-grade students’ self-efficacy perception and attitude towards geometry course to predict their academic success in the geometry course. MSc. Thesis, Yildiz Technical University, Istanbul.
  • Celik, H. C. (2020). The effect of modelling, collaborative and game-based learning on the geometry success of third-grade students. Education and Information Technologies, 25(1), 449-469. doi:10.1007/s10639-019-09983-3
  • Cepni, S. (2010). Introduction to research and project. Trabzon: Celepler Publishing.
  • Cokluk, Ö., Şekercioğlu, G., & Buyukozturk, Ş. (2018). Sosyal bilimler için çok değişkenli istatistik: SPSS ve LISREL uygulamaları (5. Baskı). Pegem.
  • Cronbach, L. J. (1951). Coefficient alpha and the internal structure of tests. Psychometrika, 16(3), 297-334. doi:10.1007/BF02310555
  • Cureton, E. E., & D'Agostino, R. B. (1993). Factor analysis: An applied approach. Psychology press.
  • Fisher, R. A. (1925). Statistical methods for research workers. Edinburg: Oliver and Boyd.
  • Hair, J. F., Black, W. C., Babin, B. J., Anderson, R. E., & Tatham, R. (2006). Multivariate data analysis. Uppersaddle River.
  • Ibáñez, M. B., Portillo, A. U., Cabada, R. Z., & Barrón, M. L. (2020). Impact of augmented reality technology on academic achievement and motivation of students from public and private Mexican schools. A case study in a middle-school geometry course. Computers & Education, 145, 103734. doi:10.1016/j.compedu.2019.103734
  • Islamoglu A. H. (2009). Research Methods in Social Sciences: (with SPSS applications). Beta Basim Yayim Dagitim A.S.
  • Kalayci, S. (2010). Multivariate Statistics Techniques with SPSS Applications. Ankara: Dinamik Akademi Yayin Dagitim.
  • Kolaczyk, E. D., Lin, L., Rosenberg, S., Walters, J., & Xu, J. (2020). Averages of unlabeled networks: Geometric characterization and asymptotic behavior. The Annals of Statistics, 48(1), 514-538. doi:10.1214/19-AOS1820
  • Kurbanoglu, N. I., & Takunyaci, M. (2012). An investigation of the attitudes, anxieties and self-efficacy beliefs towards mathematics lessons high school students’ in terms of gender, types of school, and students’ grades. Journal of Human Sciences, 9(1), 110-130.
  • Mert, M. (2016) Cross-Sectional Data Analysis Computer Applications. Ankara: Detay Yayincilik.
  • Moloi, K. (2019). Learners and educators as agents of social transformation in dysfunctional South African schools. South African Journal of Education, 39(1), 1-8. doi:10.15700/saje.v39ns1a1800
  • Moreno-Guerrero, A. J., Rondon Garcia, M., Martinez Heredia, N., & Rodriguez-Garcia, A. M. (2020). Collaborative learning based on harry potter for learning geometric figures in the subject of mathematics. Mathematics, 8(3), 369. doi:10.3390/math8030369
  • Ozdamar, K. (2004). Statistical Data Analysis Using Software Packages (Multivariate Analysis). Eskişehir: Kaan Kitapevi.
  • Ozdamar, K. (2017). Structural Equation Modeling for Scale and Test Development. Eskisehir: Nisan Kitabevi.
  • Pehlivan, H., & Köseoğlu, P. (2010). Attitudes towards biology course and the academic self concept of the students attending at Ankara science high school. Hacettepe University Journal of Education, 38, 225-235.
  • Peker, M., & Mirasyedioglu, S. (2003) The relationship between attudesand successes of high school students for mathematics course, 14(2)157-166.
  • Sirvani, H. (2007). The effect of teacher communication with parents on students' mathematics achievement. American Secondary Education, 36(1), 31-46.
  • Yaratan, H., & Kasapoglu, L. (2012). Eighth grade students’ attitude, anxiety, and achievement pertaining to mathematics lessons. Procedia - Social and Behavioral Sciences, 46, 162-171. doi:10.1016/j.sbspro.2012.05.087
  • Yasar, M., Çermik, H., & Güner, N. (2014). Türkiye’deki Lise Öğrencilerinin Matematik Dersine İlişkin Tutumları ve Bu Tutumlarını Etkileyen Faktörler. Ankara University Journal of Faculty of Educational Sciences (JFES), 47(2), 41-64. doi:10.1501/Egifak_0000001337
  • Yildiz, D., & Uzunsakal, E. (2018). A comparison of reliability tests in field researches and an application on agricultural data. Journal of Business Administration and Social Studies, 2(1), 14-28.
  • Zakaria, E., Chin, L. C., & Daud, M. Y. (2010). The effects of cooperative learning on students’ mathematics achievement and attitude towards mathematics. Journal of Social Sciences, 6(2), 272-275. doi:10.3844/jssp.2010.272.275
  • URL1: (2020, February 25) https://de.wikipedia.org/wiki/Kaiser-Meyer-Olkin-Kriterium#Kaiser-Meyer-Olkin-Kriterium
Year 2021, , 515 - 528, 30.12.2021
https://doi.org/10.54287/gujsa.1025050

Abstract

Project Number

FYL-2019-4384

References

  • Akay, G. (2011). The effect of peer instruction method on the 8th grade students' mathematics achievement in transformation geometry and attitudes towards mathematics. MSc Thesis, Middle East Technical University.
  • Aktaş, M. C., & Aktaş, D. Y. (2013). Geometriye yönelik güncel bir tutum ölçeğinin geliştirilmesi. Necatibey Eğitim Fakültesi Elektronik Fen ve Matematik Eğitimi Dergisi, 7(2), 225-247. doi:10.12973/nefmed208
  • Albayrak, A. S. (2006). Uygulamalı Çok Değişkenli İstatistik Teknikleri. Ankara: Asil Yayın Dağıtım Ltd. Şti.
  • Alpar, R., (2017). Applied Multivariate Statistical Techniques. Ankara: Detay Yayincilik.
  • Anderberg, M R. (1973). Cluster Analysis for Applications. Elsevier. doi:10.1016/C2013-0-06161-0
  • Askar, P. (1986). Developing Attitude Mathematics Scala. Education and Science, 8, 31-36.
  • Avci, E., Özenir, Ö. S., Coşkuntuncel, O., Özcihan, H. G., & Su, G. (2014). Ortaöğretim Öğrencilerinin Geometri Dersine Yönelik Tutumları. Turkish Journal of Computer and Mathematics Education, 5(3), 304-317.
  • Avcu, R., & Avcu, S. (2015). Turkish adaptation of Utley geometry attitude scale: A validity and reliability study. Eurasian Journal of Educational Research, 58, 1-23. doi:10.14689/ejer.2015.58.1
  • Bartlett, M. S. (1950). Tests of significance in factor analysis. British Journal of Statistical Psychology, 3(2), 77-85. doi:10.1111/j.2044-8317.1950.tb00285.x
  • Berger, N., Mackenzie, E., & Holmes, K. (2020). Positive attitudes towards mathematics and science are mutually beneficial for student achievement: a latent profile analysis of TIMSS 2015. The Australian Educational Researcher, 47, 409-444. doi:10.1007/s13384-020-00379-8
  • Bindak, R. (2004). Geometri tutum ölçeği güvenirlik geçerlik çalışması ve bir uygulama. PhD Thesis. Dicle University, Diyarbakır.
  • Box, J. F. (1987). Guinness, Gosset, Fisher, and small samples. Statistical science, 2(1), 45-52.
  • Bramlett, D. C. & Herron, S. (2007) A study of African-American college students’ attitudes towards mathematics. Journal of Mathematical Sciences and Mathematics Education, 3(2), 43-51.
  • Buyukozturk, Ş. (2002). Faktör Analizi: Temel Kavramlar ve Ölçek Geliştirmede Kullanımı. Kuram ve Uygulamada Eğitim Yönetimi, 32, 470-483.
  • Caglayan, O. S. (2010), The capability of high school 1st-grade students’ self-efficacy perception and attitude towards geometry course to predict their academic success in the geometry course. MSc. Thesis, Yildiz Technical University, Istanbul.
  • Celik, H. C. (2020). The effect of modelling, collaborative and game-based learning on the geometry success of third-grade students. Education and Information Technologies, 25(1), 449-469. doi:10.1007/s10639-019-09983-3
  • Cepni, S. (2010). Introduction to research and project. Trabzon: Celepler Publishing.
  • Cokluk, Ö., Şekercioğlu, G., & Buyukozturk, Ş. (2018). Sosyal bilimler için çok değişkenli istatistik: SPSS ve LISREL uygulamaları (5. Baskı). Pegem.
  • Cronbach, L. J. (1951). Coefficient alpha and the internal structure of tests. Psychometrika, 16(3), 297-334. doi:10.1007/BF02310555
  • Cureton, E. E., & D'Agostino, R. B. (1993). Factor analysis: An applied approach. Psychology press.
  • Fisher, R. A. (1925). Statistical methods for research workers. Edinburg: Oliver and Boyd.
  • Hair, J. F., Black, W. C., Babin, B. J., Anderson, R. E., & Tatham, R. (2006). Multivariate data analysis. Uppersaddle River.
  • Ibáñez, M. B., Portillo, A. U., Cabada, R. Z., & Barrón, M. L. (2020). Impact of augmented reality technology on academic achievement and motivation of students from public and private Mexican schools. A case study in a middle-school geometry course. Computers & Education, 145, 103734. doi:10.1016/j.compedu.2019.103734
  • Islamoglu A. H. (2009). Research Methods in Social Sciences: (with SPSS applications). Beta Basim Yayim Dagitim A.S.
  • Kalayci, S. (2010). Multivariate Statistics Techniques with SPSS Applications. Ankara: Dinamik Akademi Yayin Dagitim.
  • Kolaczyk, E. D., Lin, L., Rosenberg, S., Walters, J., & Xu, J. (2020). Averages of unlabeled networks: Geometric characterization and asymptotic behavior. The Annals of Statistics, 48(1), 514-538. doi:10.1214/19-AOS1820
  • Kurbanoglu, N. I., & Takunyaci, M. (2012). An investigation of the attitudes, anxieties and self-efficacy beliefs towards mathematics lessons high school students’ in terms of gender, types of school, and students’ grades. Journal of Human Sciences, 9(1), 110-130.
  • Mert, M. (2016) Cross-Sectional Data Analysis Computer Applications. Ankara: Detay Yayincilik.
  • Moloi, K. (2019). Learners and educators as agents of social transformation in dysfunctional South African schools. South African Journal of Education, 39(1), 1-8. doi:10.15700/saje.v39ns1a1800
  • Moreno-Guerrero, A. J., Rondon Garcia, M., Martinez Heredia, N., & Rodriguez-Garcia, A. M. (2020). Collaborative learning based on harry potter for learning geometric figures in the subject of mathematics. Mathematics, 8(3), 369. doi:10.3390/math8030369
  • Ozdamar, K. (2004). Statistical Data Analysis Using Software Packages (Multivariate Analysis). Eskişehir: Kaan Kitapevi.
  • Ozdamar, K. (2017). Structural Equation Modeling for Scale and Test Development. Eskisehir: Nisan Kitabevi.
  • Pehlivan, H., & Köseoğlu, P. (2010). Attitudes towards biology course and the academic self concept of the students attending at Ankara science high school. Hacettepe University Journal of Education, 38, 225-235.
  • Peker, M., & Mirasyedioglu, S. (2003) The relationship between attudesand successes of high school students for mathematics course, 14(2)157-166.
  • Sirvani, H. (2007). The effect of teacher communication with parents on students' mathematics achievement. American Secondary Education, 36(1), 31-46.
  • Yaratan, H., & Kasapoglu, L. (2012). Eighth grade students’ attitude, anxiety, and achievement pertaining to mathematics lessons. Procedia - Social and Behavioral Sciences, 46, 162-171. doi:10.1016/j.sbspro.2012.05.087
  • Yasar, M., Çermik, H., & Güner, N. (2014). Türkiye’deki Lise Öğrencilerinin Matematik Dersine İlişkin Tutumları ve Bu Tutumlarını Etkileyen Faktörler. Ankara University Journal of Faculty of Educational Sciences (JFES), 47(2), 41-64. doi:10.1501/Egifak_0000001337
  • Yildiz, D., & Uzunsakal, E. (2018). A comparison of reliability tests in field researches and an application on agricultural data. Journal of Business Administration and Social Studies, 2(1), 14-28.
  • Zakaria, E., Chin, L. C., & Daud, M. Y. (2010). The effects of cooperative learning on students’ mathematics achievement and attitude towards mathematics. Journal of Social Sciences, 6(2), 272-275. doi:10.3844/jssp.2010.272.275
  • URL1: (2020, February 25) https://de.wikipedia.org/wiki/Kaiser-Meyer-Olkin-Kriterium#Kaiser-Meyer-Olkin-Kriterium
There are 40 citations in total.

Details

Primary Language English
Journal Section Statistics
Authors

Nurfer Çizmeci 0000-0002-5275-6120

Füsun Yalçın 0000-0002-2669-1044

Project Number FYL-2019-4384
Publication Date December 30, 2021
Submission Date November 17, 2021
Published in Issue Year 2021

Cite

APA Çizmeci, N., & Yalçın, F. (2021). Evaluation of Student Attitudes Using Multivariate Statistical Analysis. Gazi University Journal of Science Part A: Engineering and Innovation, 8(4), 515-528. https://doi.org/10.54287/gujsa.1025050