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Mathematics Teaching Anxiety Scale: Construction, Reliability and Validity

Year 2019, , 506 - 521, 15.10.2019
https://doi.org/10.21449/ijate.625423

Abstract

This study aimed to develop mathematics teaching anxiety scale for prospective primary school teachers. It was designed based on survey method and conducted with four sampling group consisting of 956 prospective primary school teachers at Education Faculties in Turkey. First sampling group was consisted of 404 prospective primary school teachers and 96 out of it were involved in the application of open-ended questions and 308 were involved in exploratory factor analysis. 305 prospective primary school teachers in the second sampling group participated in the confirmatory factor analysis, 108 prospective teachers in the third group were involved in criterion validity and 139 prospective teachers in the fourth one participated in the test-retest reliability analysis. As a result of the principal component analysis of the Mathematics Teaching Anxiety Scale (MTAS), it was found that the scale indicating single factor structure and consisting of 31 items (47.43% of the total variance). After suggested modifications, the scale MTAS was constructed with 19 items. 12 items were removed from the scale and the confirmatory factor analysis (CFA) was carried out with 19 items. According to CFA results (0≤X2 / df = 1.483≤2, RMSEA = 0.040, RMR = 0.050, AGFI = 0.908, TLI = 0.972, CFI = 0.976, IFI = 0.976, GFI = 0.928, NFI = 0.930 and RFI = 0.919), it was confirmed that the scale structure was consisting of 19 items and one dimension. Cronbach's alpha coefficient of the final form of Mathematics Teaching Anxiety Scale was calculated as 0.93.

References

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  • Albayrak, A. S. (2006). Uygulamalı Çok Değişkenli İstatistik Teknikleri. Ankara: Asil Yayın Dağıtım.
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  • Alkan, V. (2010). Matematikten nefret ediyorum! [I hate Mathematics!]. Pamukkale Üniversitesi Eğitim Fakültesi Dergisi [Pamukkale University Journal of Education], 28 (II), 189-199.
  • Alkan, V. (2011). Etkili matematik öğretiminin gerçekleştirilmesindeki engellerden biri: kaygı ve nedenleri [One of the barriers to providing effective mathematics teaching: anxiety and its causes]. Pamukkale Üniversitesi Eğitim Fakültesi Dergisi [Pamukkale University Journal of Education], 29(I), 89-107.
  • Alkan, V. (2013). Reducing mathematics anxiety: The ways implemented by teachers at primary schools in Turkey. International J. Soc. Sci. & Education, 3 (3), 795-807.
  • Ashcraft, M. H. (1995). Cognitive psychology and simple arithmetic: A review and summary of new directions. Mathematical Cognition, 1, 3–34.
  • Ashcraft, M. H. (2002). Math anxiety: Personal, educational, and cognitive consequences. Current Directions in Psychological Science, 11(5), 181–185.
  • Baumgartner, H., & Homburg, C. (1996). Applications of structural equation modelling in marketing and consumer research: A review. International Journal of Research in Marketing, 13(2), 139–161.
  • Baloğlu, M. (1999). A comparison of mathematics anxiety and statistics anxiety in relation to general anxiety. Eric Document Number (ED 436 703).
  • Baloglu, M. (2001). Matematik Korkusunu Yenmek. Kuram ve Uygulamada Eğitim Bilimleri Dergisi, 1 (1), 59–76.
  • Bandura, A. (1993). Perceived self-efficacy in cognitive development and functioning. Educational Psychologist. 28, 117-148.
  • Beilock, S. L., Gunderson, E. A., Ramirez, G., & Levine, S. C. (2010). Female teachers' math anxiety affects girls' math achievement. Proceedings of the National Academy of Sciences, 107 (5), 1860–1863.
  • Beilock, S. L. & Willingham, D. T. (2014). Ask the cognitive scientist. Math anxiety: Can teachers help students reduce it? American Educator, 38(2), 28-43.
  • Bentler, P. M. (1980). Multivariate analysis with latent variables: Causal modelling. Annual Review of Psychology, 31, 419–456.
  • Bentler, P. M. & Bonett, D. G. (1980). Significance tests and goodness of fit in the analysis of covariance structures. Psychological Bulletin, 88, 588–606.
  • Bessant, K. C. (1992). Instructional design and the development of statistical literacy. Teaching Sociology, 20, 143–149.
  • Bowd, A. & Brady, P. (2003). Gender differences in mathematics anxiety among preservice teachers and perceptions of their elementary and secondary school experience with mathematics. The Alberta Journal of Educational Research, XLIX (1), 24–36.
  • Browne, M. W., & Cudeck, R. (1993). Alternative ways of assessing model fit. In K. A. Bollen and J. S. Long (Eds.), Testing structural equation models (pp. 136-162). Newbury Park, CA: Sage.
  • Bursal M., & Paznokas, L. (2006). Mathematics anxiety and pre-service elementary teachers’ confidence to teach mathematics and science. School Science and Mathematics, 106 (4) 173–179.
  • Bourne, E. (1995). The Anxiety and Phobia Workbook (2nd Ed.). Akland, CA: New Harbiner Publications.
  • Byrne, B. M. (1989). A Primer of LISREL: Basic Applications and Programming for Confirmatory Factor Analytic Models. New York: Springer-Verlag.
  • Büyüköztürk, Ş. (2012). Sosyal Bilimler İçin Veri Analizi El Kitabı, İstatistik, Araştırma Deseni SPSS Uygulamaları ve Yorumu. Ankara: PegemA Yayıncılık.
  • Byrne, B. M. (2009). Structural equation modelling with Amos: Basic concepts, applications and programming (2nd Ed.). Mahwah, NJ: Erlbaum.
  • Campbell, K. & Evans, C. (1997). Gender issues in the classroom: A comparison of mathematics anxiety. Education, 117 (3), 332–339.
  • Chipman, S.F., Krantz, D. H. & Silver R. (1992). Mathematics anxiety and science careers among able college women. Psychological Science, 3, 292–295.
  • Çakıroğlu, E., 2000. Preservice Elementary Teachers’ Sense of Efficacy in Reform Oriented Mathematics. Yayınlanmamış Doktora Tezi, Indiana University. Retrieved from ProQuest Dissertations & Theses Global. (Order No. 9980980)
  • Deniz, L. ve Üldaş, İ. (2008). Öğretmen ve öğretmen adaylarina yönelik matematik kaygı ölçeği’nin geçerlik, güvenirlik çalışması. [Validity and reliability study of the mathematics anxiety scale involving teachers and prospective teachers]. Eurasian Journal of Educational Research, 30, 49–62.
  • DeVellis, R. F. (2014). Ölçek Geliştirme Kuram ve Uygulamalar (3. Baskı). (T. Totan, Çev. Ed.). Ankara: Nobel Akademi Yayınları.
  • Dowker, A., Sarkar, A. & Looi, C. Y. (2016). Mathematics anxiety: What have we learned in 60 years? Front. Psychol. 7, 508. DOI: 10.3389/fpsyg.2016.00508
  • Dunkle, S. M. (2010). Remediation of math anxiety in preservice elementary school teachers (Doctoral dissertation). Retrieved from ProQuest Dissertations & Theses Global. (Order No. 3411597)
  • Enochs, L., Smith, P. L., & Huinker, D. (2000). Establishing factorial validity of the mathematics teaching efficacy beliefs instrument. School Science and Mathematics, 100(4), 194–202.
  • Erkuş, A. (2014). Psikolojide Ölçme ve Ölçek Geliştirme - I Temel Kavramlar ve İşlemler (2.Basım). Ankara: Pegem Akademi.
  • Field, A. (2009). Discovering Statistics Using SPSS (3rd Ed.). London: Sage Publications Ltd.
  • Finlayson, M. (2014). Addressing math anxiety in the classroom. Improving Schools, 17(1), 99-115, DOI: 10.1177/1365480214521457
  • Fiore, G. 1999. Math-abused students: Are we prepared to teach them? The Mathematics Teacher, 92(5): 403−409.
  • Furner, J.M., & Berman, B.T. (2003). Math Anxiety: Overcoming a major obstacle to the improvement of student math performance. Childhood Education, 79(3), 170-175.
  • Gardner, L. & Leak, G. (1994). Characteristics and correlates of teaching anxiety among college psychology teachers. Teaching of Psychology, 21(1), 28–32.
  • Geist, E. (2010). The anti-anxiety curriculum: Combating math anxiety in the classroom. Journal of Instructional Psychology, 37 (1), 24–31.
  • Gierl, M. J. & Bisanz, J. (1995). Anxieties and attitudes related to math in grades 3 and 6. Journal of Experimental Education, 63 (2), 139–158.
  • Goetz, T., Bieg, M., Lüdtke, O., Pekrun, R., & Hall, N. C. (2013). Do girls really experience more anxiety in mathematics? Psychological Science, 24 (10), 2079–2087.
  • Gresham, G. (2008). Mathematics anxiety and mathematics teacher efficacy in elementary pre-service teachers. Teaching Education, 19 (3), 171–184.
  • Gurin, A., Jeanneret, G., Pearson, M., Pulley, M., Salinas, A. & Castillo-Garsow, C. (2017). The Dynamics of math anxiety as it is transferred through peer and teacher interactions (Technical Report MTBI-14-05M). Retrieved from Arizona State University Mathematical and Theoretical Biology Institute (MTBI) website: https://mtbi.asu.edu/sites/default/files/manuscript_0.pdf
  • Hacıömeroğlu, G. & Şahin–Taşkın, Ç. (2010). Sınıf Öğretmeni adaylarının matematik öğretimi yeterlik inançları. [Elementary preservice teachers’ mathematics teaching efficacy belief]. Uludağ Üniversitesi Eğitim Fakültesi Dergisi [Uludağ University Educaton Faculty Journal], 23(2), 539–555.
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  • Hembree, R. (1990). The nature, effects and relief of mathematics anxiety. Journal of Research in Mathematics Education, 21, 33–46.
  • Izard, C. E. (1972). Patterns of Emotions: A New Analysis of Anxiety and Depression. New York: Academic Press.
  • Kesici, S., & Erdoğan, A. (2009). Predicting college students' mathematics anxiety by motivational beliefs and self-regulated learning strategies. College Student Journal, 43 (2), 631–642.
  • Kitchens, A. (1995). Defeating Math Anxiety. Chicago: Irwin Career Education Division.
  • Kline, R. B. (1991). Latent variable path analysis in clinical research: a beginner’s tour guide. Journal of Clinical Psychology, 47, 471–484.
  • Kline P. (1994). An Easy Guide to Factor Analysis. London: Routledge.
  • Kline, R. B. (2011). Principles and Practice of Structural Equation Modelling. New York: The Guilford Press.
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Mathematics Teaching Anxiety Scale: Construction, Reliability and Validity

Year 2019, , 506 - 521, 15.10.2019
https://doi.org/10.21449/ijate.625423

Abstract

This
study aimed to develop mathematics teaching anxiety scale for prospective
primary school teachers. It was designed based on survey method and conducted
with four sampling group consisting of 956 prospective primary school teachers
at Education Faculties in Turkey. First sampling group was consisted of 404
prospective primary school teachers and 96 out of it were involved in the
application of open-ended questions and 308 were involved in exploratory factor
analysis. 305 prospective primary school teachers in the second sampling group
participated in the confirmatory factor analysis, 108 prospective teachers in
the third group were involved in criterion validity and 139 prospective
teachers in the fourth one participated in the test-retest reliability
analysis. As a result of the principal component analysis of the Mathematics
Teaching Anxiety Scale (MTAS), it was found that the scale
indicating single factor structure and consisting of 31
items (47.43% of the total variance). After suggested modifications, the scale
MTAS was constructed with 19 items. 12 items were removed from the scale and
the confirmatory factor analysis (CFA) was carried out with 19 items. According
to CFA results (0≤X2 / df = 1.483≤2, RMSEA = 0.040, RMR = 0.050, AGFI = 0.908,
TLI = 0.972, CFI = 0.976, IFI = 0.976, GFI = 0.928, NFI = 0.930 and RFI =
0.919), it was confirmed that the scale structure was consisting of 19 items
and one dimension. Cronbach's alpha coefficient of the final form of
Mathematics Teaching Anxiety Scale was calculated as 0.93.

References

  • Aiken, L. R. (1970). Attitudes toward mathematics. Review of Educational Research, 40 (4), 551–596.
  • Albayrak, A. S. (2006). Uygulamalı Çok Değişkenli İstatistik Teknikleri. Ankara: Asil Yayın Dağıtım.
  • Alkan, V. (2009). The Relationship between teaching strategies and styles and pupils’ anxiety in mathematics at primary schools in Turkey. Unpublished PhD Thesis. The University of Nottingham.
  • Alkan, V. (2010). Matematikten nefret ediyorum! [I hate Mathematics!]. Pamukkale Üniversitesi Eğitim Fakültesi Dergisi [Pamukkale University Journal of Education], 28 (II), 189-199.
  • Alkan, V. (2011). Etkili matematik öğretiminin gerçekleştirilmesindeki engellerden biri: kaygı ve nedenleri [One of the barriers to providing effective mathematics teaching: anxiety and its causes]. Pamukkale Üniversitesi Eğitim Fakültesi Dergisi [Pamukkale University Journal of Education], 29(I), 89-107.
  • Alkan, V. (2013). Reducing mathematics anxiety: The ways implemented by teachers at primary schools in Turkey. International J. Soc. Sci. & Education, 3 (3), 795-807.
  • Ashcraft, M. H. (1995). Cognitive psychology and simple arithmetic: A review and summary of new directions. Mathematical Cognition, 1, 3–34.
  • Ashcraft, M. H. (2002). Math anxiety: Personal, educational, and cognitive consequences. Current Directions in Psychological Science, 11(5), 181–185.
  • Baumgartner, H., & Homburg, C. (1996). Applications of structural equation modelling in marketing and consumer research: A review. International Journal of Research in Marketing, 13(2), 139–161.
  • Baloğlu, M. (1999). A comparison of mathematics anxiety and statistics anxiety in relation to general anxiety. Eric Document Number (ED 436 703).
  • Baloglu, M. (2001). Matematik Korkusunu Yenmek. Kuram ve Uygulamada Eğitim Bilimleri Dergisi, 1 (1), 59–76.
  • Bandura, A. (1993). Perceived self-efficacy in cognitive development and functioning. Educational Psychologist. 28, 117-148.
  • Beilock, S. L., Gunderson, E. A., Ramirez, G., & Levine, S. C. (2010). Female teachers' math anxiety affects girls' math achievement. Proceedings of the National Academy of Sciences, 107 (5), 1860–1863.
  • Beilock, S. L. & Willingham, D. T. (2014). Ask the cognitive scientist. Math anxiety: Can teachers help students reduce it? American Educator, 38(2), 28-43.
  • Bentler, P. M. (1980). Multivariate analysis with latent variables: Causal modelling. Annual Review of Psychology, 31, 419–456.
  • Bentler, P. M. & Bonett, D. G. (1980). Significance tests and goodness of fit in the analysis of covariance structures. Psychological Bulletin, 88, 588–606.
  • Bessant, K. C. (1992). Instructional design and the development of statistical literacy. Teaching Sociology, 20, 143–149.
  • Bowd, A. & Brady, P. (2003). Gender differences in mathematics anxiety among preservice teachers and perceptions of their elementary and secondary school experience with mathematics. The Alberta Journal of Educational Research, XLIX (1), 24–36.
  • Browne, M. W., & Cudeck, R. (1993). Alternative ways of assessing model fit. In K. A. Bollen and J. S. Long (Eds.), Testing structural equation models (pp. 136-162). Newbury Park, CA: Sage.
  • Bursal M., & Paznokas, L. (2006). Mathematics anxiety and pre-service elementary teachers’ confidence to teach mathematics and science. School Science and Mathematics, 106 (4) 173–179.
  • Bourne, E. (1995). The Anxiety and Phobia Workbook (2nd Ed.). Akland, CA: New Harbiner Publications.
  • Byrne, B. M. (1989). A Primer of LISREL: Basic Applications and Programming for Confirmatory Factor Analytic Models. New York: Springer-Verlag.
  • Büyüköztürk, Ş. (2012). Sosyal Bilimler İçin Veri Analizi El Kitabı, İstatistik, Araştırma Deseni SPSS Uygulamaları ve Yorumu. Ankara: PegemA Yayıncılık.
  • Byrne, B. M. (2009). Structural equation modelling with Amos: Basic concepts, applications and programming (2nd Ed.). Mahwah, NJ: Erlbaum.
  • Campbell, K. & Evans, C. (1997). Gender issues in the classroom: A comparison of mathematics anxiety. Education, 117 (3), 332–339.
  • Chipman, S.F., Krantz, D. H. & Silver R. (1992). Mathematics anxiety and science careers among able college women. Psychological Science, 3, 292–295.
  • Çakıroğlu, E., 2000. Preservice Elementary Teachers’ Sense of Efficacy in Reform Oriented Mathematics. Yayınlanmamış Doktora Tezi, Indiana University. Retrieved from ProQuest Dissertations & Theses Global. (Order No. 9980980)
  • Deniz, L. ve Üldaş, İ. (2008). Öğretmen ve öğretmen adaylarina yönelik matematik kaygı ölçeği’nin geçerlik, güvenirlik çalışması. [Validity and reliability study of the mathematics anxiety scale involving teachers and prospective teachers]. Eurasian Journal of Educational Research, 30, 49–62.
  • DeVellis, R. F. (2014). Ölçek Geliştirme Kuram ve Uygulamalar (3. Baskı). (T. Totan, Çev. Ed.). Ankara: Nobel Akademi Yayınları.
  • Dowker, A., Sarkar, A. & Looi, C. Y. (2016). Mathematics anxiety: What have we learned in 60 years? Front. Psychol. 7, 508. DOI: 10.3389/fpsyg.2016.00508
  • Dunkle, S. M. (2010). Remediation of math anxiety in preservice elementary school teachers (Doctoral dissertation). Retrieved from ProQuest Dissertations & Theses Global. (Order No. 3411597)
  • Enochs, L., Smith, P. L., & Huinker, D. (2000). Establishing factorial validity of the mathematics teaching efficacy beliefs instrument. School Science and Mathematics, 100(4), 194–202.
  • Erkuş, A. (2014). Psikolojide Ölçme ve Ölçek Geliştirme - I Temel Kavramlar ve İşlemler (2.Basım). Ankara: Pegem Akademi.
  • Field, A. (2009). Discovering Statistics Using SPSS (3rd Ed.). London: Sage Publications Ltd.
  • Finlayson, M. (2014). Addressing math anxiety in the classroom. Improving Schools, 17(1), 99-115, DOI: 10.1177/1365480214521457
  • Fiore, G. 1999. Math-abused students: Are we prepared to teach them? The Mathematics Teacher, 92(5): 403−409.
  • Furner, J.M., & Berman, B.T. (2003). Math Anxiety: Overcoming a major obstacle to the improvement of student math performance. Childhood Education, 79(3), 170-175.
  • Gardner, L. & Leak, G. (1994). Characteristics and correlates of teaching anxiety among college psychology teachers. Teaching of Psychology, 21(1), 28–32.
  • Geist, E. (2010). The anti-anxiety curriculum: Combating math anxiety in the classroom. Journal of Instructional Psychology, 37 (1), 24–31.
  • Gierl, M. J. & Bisanz, J. (1995). Anxieties and attitudes related to math in grades 3 and 6. Journal of Experimental Education, 63 (2), 139–158.
  • Goetz, T., Bieg, M., Lüdtke, O., Pekrun, R., & Hall, N. C. (2013). Do girls really experience more anxiety in mathematics? Psychological Science, 24 (10), 2079–2087.
  • Gresham, G. (2008). Mathematics anxiety and mathematics teacher efficacy in elementary pre-service teachers. Teaching Education, 19 (3), 171–184.
  • Gurin, A., Jeanneret, G., Pearson, M., Pulley, M., Salinas, A. & Castillo-Garsow, C. (2017). The Dynamics of math anxiety as it is transferred through peer and teacher interactions (Technical Report MTBI-14-05M). Retrieved from Arizona State University Mathematical and Theoretical Biology Institute (MTBI) website: https://mtbi.asu.edu/sites/default/files/manuscript_0.pdf
  • Hacıömeroğlu, G. & Şahin–Taşkın, Ç. (2010). Sınıf Öğretmeni adaylarının matematik öğretimi yeterlik inançları. [Elementary preservice teachers’ mathematics teaching efficacy belief]. Uludağ Üniversitesi Eğitim Fakültesi Dergisi [Uludağ University Educaton Faculty Journal], 23(2), 539–555.
  • Hackett, G., & Betz, N. E. (1989). An exploration of the mathematics self-efficacy/ mathematics performance correspondence. Journal for Research in Mathematics Education, 20 (3), 261–273.
  • Hadfield, O. D. & McNeil, K. (1994). The relationship between Myers–Briggs personality type and mathematics anxiety among preservice elementary teachers. Journal of Instructional Psychology, 21(4), 375–384.
  • Hair Jr., J. F., Anderson, R. E., Tatham, R. L., & Black, W. C. (1998). Multivariate Data Analysis (5th Ed.). Upper Saddle River, NJ: Prentice Hall.
  • Hair, Jr. J. F., Black, W. C., Babin, B. J. & Anderson, R. E. (2014). Multivariate Data Analysis (7th Ed.). USA: Pearson Education Limited
  • Hashmi, M. & Shaikh, F. (2011). Comparative analysis of the effect of teacher education on motivation, commitment, and self-efficacy. New Horizons, 10(2), 54-58.
  • Hembree, R. (1990). The nature, effects and relief of mathematics anxiety. Journal of Research in Mathematics Education, 21, 33–46.
  • Izard, C. E. (1972). Patterns of Emotions: A New Analysis of Anxiety and Depression. New York: Academic Press.
  • Kesici, S., & Erdoğan, A. (2009). Predicting college students' mathematics anxiety by motivational beliefs and self-regulated learning strategies. College Student Journal, 43 (2), 631–642.
  • Kitchens, A. (1995). Defeating Math Anxiety. Chicago: Irwin Career Education Division.
  • Kline, R. B. (1991). Latent variable path analysis in clinical research: a beginner’s tour guide. Journal of Clinical Psychology, 47, 471–484.
  • Kline P. (1994). An Easy Guide to Factor Analysis. London: Routledge.
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There are 87 citations in total.

Details

Primary Language English
Subjects Studies on Education
Journal Section Articles
Authors

Vesile Alkan 0000-0002-8630-3357

Tolga Coşguner This is me

Yücel Fidan This is me

Publication Date October 15, 2019
Submission Date June 27, 2019
Published in Issue Year 2019

Cite

APA Alkan, V., Coşguner, T., & Fidan, Y. (2019). Mathematics Teaching Anxiety Scale: Construction, Reliability and Validity. International Journal of Assessment Tools in Education, 6(3), 506-521. https://doi.org/10.21449/ijate.625423

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