• Shu-Hui Lin
  • Yun-Chen HuangEmail author


Student attitudes toward mathematics play an important role in the teaching and learning processes of mathematics as positive attitudes correlate with higher student achievement. This paper aims to develop and explore the validity of a Chinese version of the short attitudes toward mathematics inventory (short ATMI) for Taiwanese undergraduates, and further to examine the measurement invariance across gender. The results suggest that, based on the Taiwanese sample, the model with some items excluded has better fit indices than the original model. The generalization of the four-factor construct was also confirmed. The Cronbach’s alpha for total and subscales of the modified short ATMI were satisfactory, and moreover, convergent and discriminant validity were shown. Finally, measurement invariance of the inventory across gender was also demonstrated. This study suggests that the Chinese version of the short ATMI is a reliable, valid, and compact instrument that quickly and efficiently measures student attitudes toward mathematics.

Key words

attitudes toward mathematics confirmatory factor analysis measurement invariance student attitudes assessment undergraduate 


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  1. Adediwura, A. A. (2011). The development and confirmatory factor analysis of a scale for the measurement of gifted students attitude towards mathematics. World Journal of Education, 1(1), 52–62.CrossRefGoogle Scholar
  2. Afari, E. (2013). Examining the factorial validity of the attitudes towards mathematics inventory (ATMI) in the United Arab Emirates: Confirmatory factor analysis. International Review of Contemporary Learning Research, 2(1), 15–29.CrossRefGoogle Scholar
  3. Bentler, P. M. (1995). EQS structural equation program manual. Los Angeles, CA: BMDP Statistical Software.Google Scholar
  4. Cheung, G. W. & Rensvold, R. B. (2002). Evaluating goodness-of-fit indexes for testing measurement invariance. Structural Equation Modeling, 9, 233–255.CrossRefGoogle Scholar
  5. Clarke, D. (2013). The validity-comparability compromise in crosscultural studies in mathematics education. Hyväksytty julkaisuun Proceedings of the 8th CERME conference. Antalya, Turkey: ERME.Google Scholar
  6. Daskalogianni, K. & Simpson, A. (2000). Towards a definition of attitude: The relationship between the affective and the cognitive in pre-university students. In T. Nakahara & M. Koyama (Eds.), Proceedings of the 24th Conference of the International Group for the Psychology of Mathematics Education, 3 (pp. 217–224).Google Scholar
  7. Di Martino, P. & Zan, R. (2010). ‘Me and maths’: Towards a definition of attitude grounded on students’ narratives. Journal of Mathematics Teachers Education, 13(1), 27–48.CrossRefGoogle Scholar
  8. Duda, G. & Garrett, K. (2008). Blogging in the physics classroom: A research-based approach to shaping students’ attitudes toward physics. American Journal of Physics, 76(11), 1054–1065.CrossRefGoogle Scholar
  9. Eshun, B. (2004). Sex-differences in attitude of students towards mathematics in secondary schools. Mathematics Connection, 4, 1–13.Google Scholar
  10. Farooq, M. & Shah, S. (2008). Students’ attitude towards mathematics. Pakistan Economic and Social Review, 46(1), 75–83.Google Scholar
  11. Fennema, E. & Sherman, J. (1976). Fennema-Sherman mathematics attitudes scales: Instrument designed to measure attitudes toward mathematics, toward the learning of mathematics by females and males. Journal for Research in Mathematics Education, 7, 324–326.CrossRefGoogle Scholar
  12. Frenzel, A. C., Pekrun, R. & Goetz, T. (2007). Girls and mathematics-A “hopeless” issue? A control-value approach to gender differences in emotions towards mathematics. European Journal of Psychology of Education, 22(4), 497–514.CrossRefGoogle Scholar
  13. Ganotice, F. (2010). A confirmatory factor analysis of scores on Inventory of School Motivation, Sense of Self Scale, and Facilitating Conditions Questionnaire: A study using Philippine sample. The Educational Measurement and Evaluation Review, 1, 59–77.Google Scholar
  14. Gasiorowski, J. H. (1998). The relationship between student characteristics and mathematics achievement. Morgantown, West Virginia: Doctoral Dissertation.Google Scholar
  15. Hair, J. F., Black, W. C., Babin, B. J. & Anderson, R. E. (2010). Multivariate data analysis (7th ed.). Upper Saddle River, NJ: Pearson Educational, Inc.Google Scholar
  16. Hemmings, B., Grootenboer, P. & Kay, R. (2011). Predicting mathematics achievement: The influence of prior achievement and attitudes. International Journal of Science and Mathematics Education, 9(3), 691–705.CrossRefGoogle Scholar
  17. Hu, L. & Bentler, P. M. (1999). Cutoff criteria for fit indexes in covariance structure analysis: Conventional criteria versus new alternatives. Structural Equation Modeling, 6(1), 1–55.CrossRefGoogle Scholar
  18. Hung, H. C., Shieh, V. & Lo, H. W. (2013). A study on gender-stereotypes and mathematics-related professional development: An example to the female engineering majors in science and technology university. Journal of Pingtung University of Education, 40, 77–104.Google Scholar
  19. Joreskog, K. & Sorbom, D. (1996). LISREL 8: User’s reference guide. Chicago, IL: Scientific software International.Google Scholar
  20. Kind, P., Jones, K. & Barmby, P. (2007). Developing attitudes towards science measures. International Journal of Science Education, 29(7), 871–893.CrossRefGoogle Scholar
  21. Kline, R. B. (2010). Principles and practice of structural equation modeling (3rd ed.). New York: Guilford Press.Google Scholar
  22. Kruglansky, A. (2007). Social psychology: Handbook of basic principles (2nd ed.). New York: Guilford Press.Google Scholar
  23. Leung, F. K. S. (2006). Mathematics Education in East Asia and the West: Does Culture Matter? New ICMI Study Series, 9, 21–46.CrossRefGoogle Scholar
  24. Liau, A. K., Kassim, M. & Loke, M. L. T. (2007). Reliability and validity of a Malay Translation of the Fennema-Sherman Mathematics Attitudes Scales. The Mathematics Educator, 10(2), 71–84.Google Scholar
  25. Lim, S. Y. & Chapman, E. (2013). Development of a short form of the attitudes toward mathematics inventory. Educational Studies in Mathematics, 82(1), 145–16.CrossRefGoogle Scholar
  26. Ma, X. & Kishor, N. (1997). Assessing the relationship between attitude toward mathematics and achievement in mathematics: A meta-analysis. Journal for Research in Mathematics Education, 28(1), 26–47.CrossRefGoogle Scholar
  27. Mata, M. L., Monteiro, V. & Peixoto, F. (2012). Attitudes towards mathematics: Effects of individual, motivational, and social support factors. Child Development Research. doi: 10.1155/2012/876028.Google Scholar
  28. Meece, J. L., Glienke, B. B. & Burg, S. (2006). Gender and motivation. Journal of School Psychology, 44, 351–373.CrossRefGoogle Scholar
  29. Milfont, T. L. & Fischer, R. (2010). Testing measurement invariance across groups: Applications in cross cultural research. International Journal of Psychological Research, 3(1), 111–121.Google Scholar
  30. Mohamed, L. & Waheed, H. (2011). Secondary students’ attitude towards mathematics in a selected school of Maldives. International Journal of Humanities and Social Science, 1(15), 277–281.Google Scholar
  31. Mulhern, F. & Rae, G. (1998). Development of a shortened form of the Fennema-Sherman Mathematics Attitudes Scales. Educational and Psychological Measurement, 58, 295–306.CrossRefGoogle Scholar
  32. Mullis, I. V. S., Martin, M. O., Gonzalez, E. J., Gregory, K. D., Garden, R. A., O’Connor, K. M., Chrostowski, S. J. & Smith, T. A. (2000). TIMSS 1999 International Mathematics Report. Boston: International Study Center, Lynch School of Education, Boston College.Google Scholar
  33. Nunnally, J. C. & Bernstein, I. H. (1994). Psychometric theory (3rd ed.). New York: McGraw-Hill.Google Scholar
  34. Organisation for Economic Co-operation and Development (OECD). (2004). Learning for tomorrow’s world: First results from PISA 2003. Paris: OECD Publication.Google Scholar
  35. Pierce, R., Stacey, K. & Barkatsas, A. N. (2007). A scale for monitoring students’ attitudes to learning mathematics with technology. Computers and Education, 48(2), 285–300.CrossRefGoogle Scholar
  36. Piht, S. & Eisenchmidt, E. (2008). Pupils’ attitudes toward mathematics: Comparative research between Estonian and Finnish practice schools. Problems of Education in the 21st Century, 9, 97–106.Google Scholar
  37. Spencer, S. J., Steele, C. M. & Quinn, D. M. (1999). Stereotype threat and women’s math performance. Journal of Experimental Social Psychology, 35, 4–28.CrossRefGoogle Scholar
  38. Sumpter, L. (2013). Themes and interplay of beliefs in mathematical reasoning. International Journal of Science and Mathematics Education, 11(5), 1115–1135.CrossRefGoogle Scholar
  39. Tanaka, J. S. (1993). Multifaceted conceptions of fit in structural equation models. In K. A. Bollen & J. S. Long (Eds.), Testing structural equation models. Newbury Park: Sage Publications.Google Scholar
  40. Tapia, M. & Marsh, G. E., II. (2004). An instrument to measure mathematics attitudes. Academic Exchange Quarterly, 8(2), 16–21.Google Scholar
  41. Tapia, M. & Marsh, G. E., II. (2005). Attitudes toward mathematics inventory redux. Academic Exchange Quarterly, 9(3), 272–275.Google Scholar
  42. Tuohilampi, L., Hannula, M. S., Giaconi, V., Laine, A. & Näveri, L. (2013). Comparing the structures of 3rd graders’ mathematics-related affect in Chile and Finland. Hyväksytty julkaisuun Proceedings of the 8th CERME conference. Antalya, Turkey: ERME.Google Scholar
  43. White, A. L., Way, J., Perry, B. & Southwell, B. (2005). Mathematical attitudes, beliefs and achievement in primary pre-service mathematics teacher education. Mathematics Teacher Education and Development, 7, 35–52.Google Scholar
  44. Wong, N. Y., Wong, W. Y. & Wong, E. W. Y. (2012). What do the Chinese value in (mathematics) education? ZDM–The International Journal on Mathematics Education, 44(1), 9–19.CrossRefGoogle Scholar

Copyright information

© Springer Science + Business Media B.V. 2015

Authors and Affiliations

  1. 1.Department of Insurance and FinanceNational Taichung University of Science and TechnologyTaichungTaiwan
  2. 2.Department & Graduate school of Accounting InformationNational Taichung University of Science and TechnologyTaichungTaiwan

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