References
- Abdelhamid, G. S. M., Gómez-Benito, J., Abdeltawwab, A. T. M., Abu Bakr, M. H. S., & Kazem, A. M. (2020). A demonstration of Mokken scale analysis methods applied to cognitive test validation using the Egyptian WAIS-IV. Journal of Psychoeducational Assessment, 38(4), 493–506. https://doi.org/https://doi.org/10.1177/0734282919862144
- Andrich, D. A. (1978). A rating formulation for ordered response categories. Psychometrika, 43(4), 561–573. https://doi.org/https://doi.org/10.1007/BF02293814
- Becker, K. (2007). Digital game‐based learning once removed: Teaching teachers. British Journal of Educational Technology, 38(3), 478–488. https://doi.org/https://doi.org/10.1111/j.1467-8535.2007.00711.x
- Bray, A., & Tangney, B. (2017). Technology usage in mathematics education research–A systematic review of recent trends. Computers & Education, 114, 255–273. https://doi.org/https://doi.org/10.1016/j.compedu.2017.07.004
- Chen, Y. C. (2017). Empirical study on the effect of digital game-based instruction on students’ learning motivation and achievement. Eurasia Journal of Mathematics, Science and Technology Education, 13(7), 3177–3187. https://doi.org/https://doi.org/10.12973/eurasia.2017.00729a
- Denham, A. R. Author. (2015 Supporting conceptual understanding of the associative and distributive properties through digital gameplay. Journal of Computer Assisted Learning. 31(6), 706–721.
- Denham, A. R. Author. (2018 Using a digital game as an advance organizer Educational Technology Research and Development 66(1), 1–24.
- Devlin, K. (2011). Mathematics education for a new era: Video games as a medium for learning. CRC Press.
- Engelhard, G. (2008). Historical perspectives on invariant measurement: Guttman, Rasch, and Mokken. Measurement, 6(3), 155–189. https://doi.org/https://doi.org/10.1080/15366360802197792
- Ertmer, P. A., Ottenbreit-Leftwich, A. T., Sadik, O., Sendurur, E., & Sendurur, P. (2012). Teacher beliefs and technology integration practices: A critical relationship. Computers & Education, 59(2), 423–435. https://doi.org/https://doi.org/10.1016/j.compedu.2012.02.001
- Ertmer, P. A. (1999). Addressing first-and second-order barriers to change: Strategies for technology integration. Educational Technology Research and Development, 47(4), 47–61. https://doi.org/https://doi.org/10.1007/BF02299597
- Freedland, K. E., Lemos, M., Doyle, F., Steinmeyer, B. C., Csik, I., & Carney, R. M. (2016). The techniques for overcoming depression questionnaire: Mokken scale analysis, reliability, and concurrent validity. Journal of Psychosomatic Research, 100(85), 65. https://doi.org/https://doi.org/10.1016/j.jpsychores.2016.03.159
- Gee, J. P. (2003). What video games have to teach us about learning literacy. Palgrave. Greer, B.
- Gersten, R., Ferrini-Mundy, J., Benbow, C., Clements, D. H., Loveless, T., Williams, V., & Banfield, M. (2008). Report of the task group on instructional practices. US Department of Education.
- Hemker, B. T., Sijtsma, K., Molenaar, I. W., & Junker, B. W. (1997). Stochastic ordering using the latent trait and the sum score in polytomous IRT models. Psychometrika, 62(3), 331–347. https://doi.org/https://doi.org/10.1007/BF02294555
- Kaput, J. J., & Thompson, P. W. (1994). Technology in mathematics education research: The first 25 years in the JRME. Journal for Research in Mathematics Education, 25(6), 676–684. https://doi.org/https://doi.org/10.2307/749579
- Kuijpers, R. E., Van der Ark, L. A., & Croon, M. A. (2013). Standard errors and confidence intervals for scalability coefficients in mokken scale analysis using marginal models. Sociological Methodology, 43(1), 42–69. https://doi.org/https://doi.org/10.1177/0081175013481958
- Lee, C.-P., Chou, Y.-H., Liu, C.-Y., & Hung, C.-I. (2017). Dimensionality of the Chinese hospital anxiety depression scale in psychiatric outpatients: Mokken scale and factor analyses. International Journal of Psychiatry in Clinical Practice, 21(4), 283–291. https://doi.org/https://doi.org/10.1080/13651501.2017.1311350
- Meijer, R. R., Tendeiro, J. N., & Wanders, R. B. K. (2015). The use of nonparametric item response theory to explore data quality. In S. P. Reise & D. A. Revicki (Eds.), Handbook of item response theory modeling: Applications to typical performance assessment (pp. 85–110). Routledge.
- Mokken, R. J. (1971). A theory and procedure of scale analysis. De Gruyter.
- Molenaar, I. W., & Sijtsma, K. (1984). Internal consistency and reliability in Mokken’s nonparametric item response model. Tijdschrift voor onderwijsresearch, 9(5), 257–268.
- Molenaar, I. W., & Sijtsma, K. (2000). MSP5 for windows user’s manual. Iec ProGAMMA. https://www.rug.nl/research/portal/en/publications/msp5-for-windows-users-manual(2581d067-1df4-4888-8299-7def6f1159a5).html
- Molenaar, I. W. (1982). Mokken scaling revisited. Kwantitative Methoden, 3(8), 145–164.
- Molenaar, I. W. (1997). Nonparametric models for polytomous responses. In W. J. Van der Linden & R. K. Hambleton (Eds.), Handbook of modern item response theory (pp. 369–380). Springer.
- Nader, I. W., Tran, U. S., Baranyai, P., & Voracek, M. (2012). Investigating dimensionality of Eskin’s attitudes toward suicide scale with Mokken scaling and confirmatory factor analysis. Archives of Suicide Research, 16(3), 226–237. https://doi.org/https://doi.org/10.1080/13811118.2012.695271
- National Council of Teachers of, Mathematics . (2014). Principles to actions: Ensuring mathematics success for all. National Council of Teachers of Mathematics.
- National Research Council. (2001). Adding it up: Helping children learn mathematics. In J. Kilpatrick, J. Swafford, & B. Findell (Eds.), Mathematics learning study committee, center for education, division of behavioral and social sciences and education. National Academy Press.
- Prensky, M. (2005). Computer games and learning: Digital game-based learning. In Raessens & J. Goldstein (Eds.), Handbook of computer game studies (pp. 97–122). MIT Press.
- Sanchez, E. (2019). Game-based learning. In A. Tatnall (Ed.), Encyclopedia of education and information technologies. Springer. https://doi.org/https://doi.org/10.1007/978-3-319-60013-0_39-1
- Shaffer, D. W. (2006). How computer games help children learn. Palgrave Macmillan.
- Shah, M., & Foster, A. (2015). Developing and assessing teachers’ knowledge of game-based learning. Journal of Technology and Teacher Education, 23 (2), 241–267. Chesapeake, VA: Society for Information Technology & Teacher Education. http://www.learntechlib.org/p/147391/
- Siew, P. H. (2018). Pedagogical change in mathematics learning: Harnessing the power of digital game-based learning. Educational Technology & Society, 21(4), 259–276. https://doi.org/https://doi.org/10.1016/j.ijcci.2014.08.001
- Sijtsma, K., Meijer, R. R., & Van der Ark, L. A. (2011). Mokken scale analysis as time goes by: An update for scaling practitioners. Personality and Individual Differences, 50(1), 31–37. https://doi.org/https://doi.org/10.1016/j.paid.2010.08.016
- Sijtsma, K., & Van der Ark, L. A. (2017). A tutorial on how to do a Mokken scale analysis on your test and questionnaire data. British Journal of Mathematical and Statistical Psychology, 70(1), 137–158. https://doi.org/https://doi.org/10.1111/bmsp.12078
- Takeuchi, L. M., & Vaala, S. (2014). Level up learning: A national survey on teaching with digital games. The Joan Ganz Cooney Center at Sesame Workshop.
- Tobias, S., & Fletcher, J. D. (2011). Computer games and instruction. Information Age.
- Tsai, C. C., & Chai, C. S. (2012). The” third”-order barrier for technology-integration instruction: Implications for teacher education. Australasian Journal of Educational Technology, 28(6), 1057–1060. https://doi.org/https://doi.org/10.14742/ajet.810
- Urbina, A., & Polly, D. (2017). Examining elementary school teachers’ integration of technology and enactment of TPACK in mathematics. The International Journal of Information and Learning Technology, 34(5), 439–451. https://doi.org/https://doi.org/10.1108/IJILT-06-2017-0054
- Van der Ark, L. A. (2007). Mokken scale analysis in R. Journal of Statistical Software, 20(11), 1–19 https://doi.org/https://doi.org/10.18637/jss.v020.i11.
- Van der Ark, L. A. (2012). New developments in Mokken scale analysis in R. Journal of Statistical Software, 48(5), 1–27 https://doi.org/https://doi.org/10.18637/jss.v048.i05.
- Wesolowski, B. C. (2017). Exploring rater cognition: A typology of raters in the context of music performance assessment. Psychology of Music, 45(3), 375–399. https://doi.org/https://doi.org/10.1177/0305735616665004
- Wind, S. A. Author. (2016). Examining the psychometric quality of multiple-choice assessment items using Mokken Scale Analysis. Journal of Applied Measurement. 17(2), 142–165.
- Wind, S. A. Author. (2017). An instructional module on Mokken Scale Analysis. Educational Measurement: Issues and Practice. 36(2), 50–66. https://doi.org/https://doi.org/10.1111/emip.12153).
- Wind, S. A. Author. (2019). Nonparametric Evidence of validity, reliability, and fairness for rater-mediated assessments: An illustration using Mokken Scale Analysis. Journal of Educational Measurement. 56(3), 478–504.