Challenges in developing a TPACK survey for preservice mathematics teachers in the Norwegian context

Authors

  • Ramesh Gautam
  • Arne Jakobsen

DOI:

https://doi.org/10.7146/nomad.v29i1.144984

Abstract

This study explores challenges when adapting and further developing a subject-specific survey based on the Technological pedagogical content knowledge (TPACK) framework in the Norwegian context. Two hundred forty-four preservice teachers from eight institutions across Norway participated in the survey. The most prominent challenges during the adaptation and further development of the survey were related to survey item composition and factor validation due to contextual differences and unclear boundaries between different TPACK domains. After evaluating the reliability and validity, a six-factor survey with 30 items is developed. The implications of this study and direction for further improvement are suggested.

References

Abbitt, J. T. (2011). Measuring technological pedagogical content knowledge in preservice teacher education: a review of current methods and instruments. Journal of Research on Technology in Education, 43 (4), 281-300. https://doi.org/10.1080/15391523.2011.10782573

Agyei, D. D. & Voogt, J. M. (2011). Exploring the potential of the will, skill, tool model in Ghana: predicting prospective and practicing teachers' use of technology. Computers & Education, 56 (1), 91-100. https://doi.org/10.1016/j.compedu.2010.08.017

Angeli, C. & Valanides, N. (2009). Epistemological and methodological issues for the conceptualisation, development, and assessment of ICT-TPCK: advances in technological pedagogical content knowledge (TPCK). Computers & Education, 52 (1), 154-168. https://doi.org/10.1016/j.compedu.2008.07.006

Archambault, L. M. & Barnett, J. H. (2010). Revisiting technological pedagogical content knowledge: exploring the TPACK framework. Computers & Education, 55 (4), 1656-1662. https://doi.org/10.1016/j.compedu.2010.07.009

Ball, D. L., Thames, M. H. & Phelps, G. (2008). Content knowledge for teaching: what makes it special. Journal of Teacher Education, 59 (5), 389-407. https://doi.org/10.1177/0022487108324554

Bartlett, M. S. (1950). Tests of significance in factor analysis. British Journal of Psychology, 3, 77-85. https://doi.org/10.1111/j.2044-8317.1950.tb00285.x

Baser, D., Kopcha, T. J. & Ozden, M. Y. (2016). Developing a technological pedagogical content knowledge (TPACK) assessment for preservice teachers learning to teach English as a foreign language. Computer Assisted Language Learning, 29 (4), 749-764. https://doi.org/10.1080/09588221.2015.1047456

Bilici, S. C., Yamak, H., Kavak, N. & Guzey, S. S. (2013). Technological pedagogical content knowledge self-efficacy scale (TPACK-SeS) for pre-service science teachers: construction, validation, and reliability. Eurasian Journal of Educational Research, 52, 37-60.

Brantley-Dias, L. & Ertmer, P. A. (2013). Goldilocks and TPACK: Is the construct "just right?". Journal of Research on Technology in Education, 46 (2), 103-128. https://doi.org/10.1080/15391523.2013.10782615

Brown, J. D. (2009). Choosing the right type of rotation in PCA and EFA. Shiken: JALT Testing & Evaluation SIG Newsletter, 13 (3), 20-25.

Chai, C. S., Koh, J. H. L. & Tsai, C. C. (2011). Exploring the factor structure of the constructs of technological, pedagogical, content knowledge (TPACK). The Asia-Pacific Education Researcher, 20 (3), 607-615.

Chai, C. S., Koh, J. H. L. & Tsai, C. C. (2013). A review of technological pedagogical content knowledge. Educational Technology & Society, 16 (2), 31-51.

Chai, C. S., Koh, J. H. L. & Tsai, C.-C. (2016). Review of the quantitative measures of technological pedagogical content knowledge (TPACK). In M. C. Herring, M. J. Koehler & P. Mishra (Eds.), Handbook of technological pedagogical content knowledge (TPACK) for educators (pp. 97-116). Routledge.

Chai, C. S., Koh, J. H. L., Tsai, C.-C. & Tan, L. L. W. (2011). Modeling primary school pre-service teachers' technological pedagogical content knowledge (TPACK) for meaningful learning with information and communication technology (ICT). Computers & Education, 57 (1), 1184-1193. https://doi.org/10.1016/j.compedu.2011.01.007

Chai, C. S., Ng, E. M., Li, W., Hong, H.-Y. & Koh, J. H. (2013). Validating and modelling technological pedagogical content knowledge framework among Asian preservice teachers. Australasian Journal of Educational Technology, 29 (1), 41-53. https://doi.org/10.14742/ajet.174

Costello, A. B. & Osborne, J. (2005). Best practices in exploratory factor analysis: four recommendations for getting the most from your analysis. Practical Assessment, Research, and Evaluation, 10 (1), 1-7.

Creswell, J. W. & Clark, V. L. P. (2017). Designing and conducting mixed methods research. Sage.

Cristobal, E., Flavian, C. & Guinaliu, M. (2007). Perceived e-service quality (PeSQ): measurement validation and effects on consumer satisfaction and web site loyalty. Managing Service Quality: An International Journal, 17 (3), 317-340. https://doi.org/10.1108/09604520710744326

Etikan, I., Musa, S. A. & Alkassim, R. S. (2016). Comparison of convenience sampling and purposive sampling. American Journal of Theoretical and Applied Sttatistics, 5 (1), 1-4. https://doi.org/10.11648/j.ajtas.20160501.11

Fennema, E. & Franke, M. L. (1992). Teachers' knowledge and its impact. In D. A. Grouws (Ed.), Handbook of research on mathematics teaching and learning (pp. 147-164). Macmillan.

Ferrari, A. (2012). Digital competence in practice: an analysis of frameworks. Publications Office. https://data.europa.eu/doi/10.2791/82116

Field, A. (2013). Discovering statistics using IBM SPSS statistics. Sage.

Gliem, J. A. & Gliem, R. R. (2003). Calculating, interpreting, and reporting Cronbach's alpha reliability coefficient for Likert-type scales. Midwest Research-to-Practice Conference in Adult, Continuing, and Community Education. The Ohio State University.

Graham, C. R. (2011). Theoretical considerations for understanding technological pedagogical content knowledge (TPACK). Computers & Education, 57 (3), 1953-1960. https://doi.org/10.1016/j.compedu.2011.04.010

Guđmundsdóttir, G. B. & Hatlevik, O. E. (2018). Newly qualified teachers' professional digital competence: implications for teacher education. European Journal of Teacher Education, 41 (2), 214-231. https://doi.org/10.1080/02619768.2017.1416085

Guin, T. D.-L., Baker, R., Mechling, J. & Ruyle, E. (2012). Myths and realities of respondent engagement in online surveys. International Journal of Market Research, 54 (5), 613-633. https://doi.org/10.2501/IJMR-54-5-613-633

Hair, J. F. (2014). Multivariate data analysis (7th ed.). Pearson.

Instefjord, E. & Munthe, E. (2016). Preparing pre-service teachers to integrate technology: an analysis of the emphasis on digital competence in teacher education curricula. European Journal of Teacher Education, 39 (1), 77-93. https://doi.org/10.1080/02619768.2015.1100602

Jakobsen, A. & Munthe, E. (2020). Education of Norwegian mathematics teachers. In H. D. G. Lacerda, D. S. C. Cabanha & M. V. Maltempi (Eds.), Formação inicial de professores de matemática em diversos países (pp. 185-199). Editoria Livraria da Física.

Jang, S.-J. & Tsai, M.-F. (2012). Exploring the TPACK of Taiwanese elementary mathematics and science teachers with respect to use of interactive whiteboards. Computers & Education, 59 (2), 327-338. https://doi.org/10.1016/j.compedu.2012.02.003

Jang, S.-J. & Tsai, M.-F. (2013). Exploring the TPACK of Taiwanese secondary school science teachers using a new contextualised TPACK model. Australasian Journal of Educational Technology, 29 (4). https://doi.org/10.14742/ajet.282

Jin, X., Liu, G. G., Gerstein, H. C., Levine, M. A., Steeves, K. et al. (2018). Item reduction and validation of the Chinese version of diabetes quality-of-life measure (DQOL). Health and Quality of Life Outcomes, 16 (1), 1-11. https://doi.org/10.1186/s12955-018-0905-z

Kaiser, H. F. (1970). A second generation little jiffy. Psychometrika, 35 (4), 401-415. https://doi.org/10.1007/BF02291817

Kelley, T. R., Knowles, J. G., Holland, J. D. & Han, J. (2020). Increasing high school teachers self-efficacy for integrated STEM instruction through a collaborative community of practice. International Journal of STEM Education, 7, 1-13. https://doi.org/10.1186/s40594-020-00211-w

Kimmons, R. (2015). Examining TPACK's theoretical future. Journal of Technology and Teacher Education, 23 (1), 53-77.

Kline, R. B. (2015). Principles and practice of structural equation modeling. Guilford.

Koehler, M. & Mishra, P. (2009). What is technological pedagogical content knowledge (TPACK)? Contemporary Issues in Technology and Teacher Education, 9 (1), 60-70.

Koehler, M. J., Mishra, P. & Yahya, K. (2007). Tracing the development of teacher knowledge in a design seminar: integrating content, pedagogy and technology. Computers & Education, 49 (3), 740-762. https://doi.org/10.1016/j.compedu.2005.11.012

Koehler, M. J., Shin, T. S. & Mishra, P. (2012). How do we measure TPACK? Let me count the ways. In Ronau, R. N., Rakes, C. R. & Niess, M. L. (Eds.), Educational technology, teacher knowledge, and classroom impact: a research handbook on frameworks and approaches (pp. 16-31). IGI Global. https://doi.org/10.4018/978-1-60960-750-0.ch002

Koh, J. H. L., Chai, C. S. & Tsai, C.-C. (2010). Examining the technological pedagogical content knowledge of Singapore preservice teachers with a large-scale survey. Journal of Computer Assisted Learning, 26 (6), 563-573. https://doi.org/10.1111/j.1365-2729.2010.00372.x

Krumsvik, R. J. (2011). Digital competence in the Norwegian teacher education and schools. Högre Utbildning, 1 (1), 39-51.

Ministry of Education and Research (2019). Core curriculum - values and principles for primary and secondary education. Author. https://www.regjeringen.no/contentassets/53d21ea2bc3a4202b86b83cfe82da93e/core-curriculum.pdf

Landry, G. A. (2010). Creating and validating an instrument to measure middle school mathematics teachers' technological pedagogical content knowledge (TPACK) [PhD thesis]. University of Tennessee.

Lawshe, C. H. (1975). A quantitative approach to content validity. Personnel Psychology, 28 (4), 563-575. https://doi.org/10.1111/j.1744-6570.1975.tb01393.x

Lee, M.-H. & Tsai, C.-C. (2010). Exploring teachers' perceived self efficacy and technological pedagogical content knowledge with respect to educational use of the World wide web. Instructional Science, 38 (1), 1-21. https://doi.org/10.1007/s11251-008-9075-4

Lester, P. E., Inman, D. & Bishop, L. K. (2014). Handbook of tests and measurement in education and the social sciences. Rowman & Littlefield.

Marín-Suelves, D., López-Gómez, S., Castro-Rodríguez, M. M. & Rodríguez-Rodríguez, J. (2020). Digital competence in schools: a bibliometric study. IEEE Revista Iberoamericana de Tecnologias del Aprendizaje, 15 (4), 381-388. https://doi.org/10.1109/RITA.2020.3033207

Martinovic, D. & Zhang, Z. (2012). Situating ICT in the teacher education program: overcoming challenges, fulfilling expectations. Teaching and Teacher Education, 28 (3), 461-469. https://doi.org/10.1016/j.tate.2011.12.001

Ministry of Education and Research (2019). Core curriculum - values and principles for primary and secondary education. Author. https://www.regjeringen.no/contentassets/53d21ea2bc3a4202b86b83cfe82da93e/core-curriculum.pdf

Mishra, P. & Koehler, M. J. (2006). Technological pedagogical content knowledge: a framework for teacher knowledge. Teachers College Record, 108 (6), 1017-1054. https://doi.org/10.1111/j.1467-9620.2006.00684.x

Mosvold, R., Fauskanger, J., Jakobsen, A. & Melhus, K. (2009). Translating test items into Norwegian-without getting lost in translation. Nordic Studies in Mathematics Education, 14 (4), 101-123.

Netemeyer, R., Bearden, W. & Sharma, S. (2003). Scaling procedures. Sage. https://doi.org/10.4135/9781412985772

Niess, M. L. (2005). Preparing teachers to teach science and mathematics with technology: developing a technology pedagogical content knowledge. Teaching and Teacher Education, 21 (5), 509-523. https://doi.org/10.1016/j.tate.2005.03.006

Nilsson, P. (2022). From PCK to TPACK - supporting student teachers' reflections and use of digital technologies in science teaching. Research in Science & Technological Education, 1-25. https://doi.org/10.1080/02635143.2022.2131759

Norris, J. & Conn, C. (2005). Investigating strategies for increasing student response rates to online-delivered course evaluations. Quarterly Review of Distance Education, 6 (1), 13-29.

Pamuk, S., Ergun, M., Cakir, R., Yilmaz, H. B. & Ayas, C. (2015). Exploring relationships among TPACK components and development of the TPACK instrument. Education and Information Technologies, 20, 241-263. https://doi.org/10.1007/s10639-013-9278-4

Petrou, M. & Goulding, M. (2011). Conceptualising teachers' mathematical knowledge in teaching. In T. Rowland & K. Ruthven (Eds.), Mathematical knowledge in teaching (pp. 9-25). Springer. https://doi.org/10.1007/978-90-481-9766-8_2

Rashid, T. & Asghar, H. M. (2016). Technology use, self-directed learning, student engagement and academic performance: examining the interrelations. Computers in Human Behavior, 63, 604-612. https://doi.org/10.1016/j.chb.2016.05.084

Ratner, B. (2009). The correlation coefficient: its values range between +1/-1, or do they? Journal of Targeting, Measurement and Analysis for Marketing, 17 (2), 139-142. https://doi.org/10.1057/jt.2009.5

Rosenberg, J. M. & Koehler, M. J. (2015). Context and technological pedagogical content knowledge (TPACK): a systematic review. Journal of Research on Technology in Education, 47 (3), 186-210. https://doi.org/10.1080/15391523.2015.1052663

Russell, D. W. (2002). In search of underlying dimensions: the use (and abuse) of factor analysis in Personality and social psychology bulletin. Personality and Social Psychology Bulletin, 28 (12), 1629-1646. https://doi.org/10.1177/014616702237645

Sang, G., Tondeur, J., Chai, C. S. & Dong, Y. (2016). Validation and profile of Chinese pre-service teachers' technological pedagogical content knowledge scale. Asia-Pacific Journal of Teacher Education, 44 (1), 49-65. https://doi.org/10.1080/1359866X.2014.960800

Schmidt, D. A., Baran, E., Thompson, A. D., Mishra, P., Koehler, M. J. & Shin, T. S. (2009). Technological pedagogical content knowledge (TPACK) - the development and validation of an assessment instrument for preservice teachers. Journal of research on Technology in Education, 42 (2), 123-149. https://doi.org/10.1080/15391523.2009.10782544

Schober, P., Boer, C. & Schwarte, L. A. (2018). Correlation coefficients: appropriate use and interpretation. Anesthesia & Analgesia, 126(5), 1763-1768. https://doi.org/10.1213/ANE.0000000000002864

Shulman, L. S. (1986). Those who understand: knowledge growth in teaching. Educational Researcher, 15 (2), 4-14. https://doi.org/10.2307/1175860

Shulman, L. S. (1987). Knowledge and teaching: foundations of the new reform. Harvard Educational Review, 57 (1), 1-23. https://doi.org/10.17763/haer.57.1.j463w79r56455411

Streiner, D. L. (2003). Starting at the beginning: an introduction to coefficient alpha and internal consistency. Journal of Personality Assessment, 80 (1), 99-103. https://doi.org/10.1207/S15327752JPA8001_18

Taber, K. S. (2018). The use of Cronbach's alpha when developing and reporting research instruments in science education. Research in Science Education, 48 (6), 1273-1296. https://doi.org/10.1007/s11165-016-9602-2

Tavakol, M. & Dennick, R. (2011). Making sense of Cronbach's alpha. International Journal of Medical Education, 2 (53), 53-55. https://doi.org/10.5116/ijme.4dfb.8dfd

Tirosh, D. & Even, R. (2007). Teachers' knowledge of students' mathematical learning: an examination of commonly held assumptions. Mathematics knowledge in teaching seminar series: conceptualising and theorizing mathematical knowledge for teaching. University of Cambridge.

The Norwegian Directorate for Education and Training (2020). Læreplan i Matematikk 1.-10. Trinn. (MAT01-05). https://www.udir.no/lk20/mat01-05?lang=nob

UiS (2021a). Matematikk 1 emne 2 MGL1111. University of Stavanger. https://www.uis.no/nb/course/MGL1111_1

UiS (2021b). Matematikk 1 emne 2 MGL2114. University of Stavanger. https://www.uis.no/nb/course/MGL2114_1

Valtonen, T., Sointu, E., Kukkonen, J., Kontkanen, S., Lambert, M. C. & Mäkitalo-Siegl, K. (2017). TPACK updated to measure pre-service teachers' twenty-first century skills. Australasian Journal of Educational Technology, 33 (3), 15-31. https://doi.org/10.14742/ajet.3518

Verloop, N., Van Driel, J. & Meijer, P. (2001). Teacher knowledge and the knowledge base of teaching. International Journal of Educational Research, 35 (5), 441-461. https://doi.org/10.1016/S0883-0355(02)00003-4

Voogt, J. & McKenney, S. (2017). TPACK in teacher education: Are we preparing teachers to use technology for early literacy? Technology, Pedagogy and Education, 26 (1), 69-83. https://doi.org/10.1080/1475939X.2016.1174730

Wang, W., Schmidt-Crawford, D. & Jin, Y. (2018). Preservice teachers' TPACK development: a review of literature. Journal of Digital Learning in Teacher Education, 34 (4), 234-258. https://doi.org/10.1080/21532974.2018.1498039

Williams, B., Onsman, A. & Brown, T. (2010). Exploratory factor analysis: a five-step guide for novices. Australasian Journal of Paramedicine, 8 (3), 990399. https://doi.org/10.33151/ajp.8.3.93

Yeh, Y. F., Chan, K. K. H. & Hsu, Y. S. (2021). Toward a framework that connects individual TPACK and collective TPACK: a systematic review of TPACK studies investigating teacher collaborative discourse in the learning by design process. Computers & Education, 171, 104238. https://doi.org/10.1016/j.compedu.2021.104238

Yurdakul, I. K., Odabasi, H. F., Kilicer, K., Coklar, A. N., Birinci, G. & Kurt, A. A. (2012). The development, validity and reliability of TPACK-deep: a technological pedagogical content knowledge scale. Computers & Education, 58 (3), 964-977. https://doi.org/10.1016/j.compedu.2011.10.012

Zelkowski, J., Gleason, J., Cox, D. C. & Bismarck, S. (2013). Developing and validating a reliable TPACK instrument for secondary mathematics preservice teachers. Journal of Research on Technology in Education, 46 (2), 173-206. https://doi.org/10.1080/15391523.2013.10782618

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Published

2024-03-01

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Gautam, R., & Jakobsen, A. (2024). Challenges in developing a TPACK survey for preservice mathematics teachers in the Norwegian context. NOMAD Nordic Studies in Mathematics Education, 29(1), 25–60. https://doi.org/10.7146/nomad.v29i1.144984

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