Developing an Instrument of Assessing the Middle School Students’ Perceptions of Mathematics Teachers’ PCK
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Many researches proposed different models and concepts for the PCK. It is important to understand its composition. Most studies investigated the development of PCK and its influence on students’ learning from the teachers’ perspectives. We developed an instrument for assessing middle school students’ perceptions of mathematics teachers’ PCK (SPOMTPCK) to investigate the nature of PCK. Theoretical claims and empirical research in PCK were used to design questions and sub-scales for the SPOMTPCK. The face validity of the instrument was established by the expert mathematics teachers and students. A questionnaire consisting of 38 items on a five-point Likert-type scale was used for data collection from 799 middle school students. The exploratory factor analyses resulted in the development of a three-factor scale of 17 items that was proved valid and reliable, that is, pedagogical representation, understanding students and curriculum, and encouraging students’ engagement. The Cronbach α coefficients of the scale was 0.935, and the Cronbach α coefficient of three factors were ranged from 0.721 to 0.912. The confirmatory factor analysis showed that the questionnaire has good construct validity and the fit indexes are good. MANOVA analysis of variance revealed that the differences in mathematics teachers’ PCK identified by students of different school types and grades were statistically significant. It is a validate measurement to evaluate the perceived mathematics teachers’ PCK for middle school students.
Abstract
Many researches proposed different models and concepts for the PCK. It is important to understand its composition. Most studies investigated the development of PCK and its influence on students’ learning from the teachers’ perspectives. We developed an instrument for assessing middle school students’ perceptions of mathematics teachers’ PCK (SPOMTPCK) to investigate the nature of PCK. Theoretical claims and empirical research in PCK were used to design questions and sub-scales for the SPOMTPCK. The face validity of the instrument was established by the expert mathematics teachers and students. A questionnaire consisting of 38 items on a five-point Likert-type scale was used for data collection from 799 middle school students. The exploratory factor analyses resulted in the development of a three-factor scale of 17 items that was proved valid and reliable, that is, pedagogical representation, understanding students and curriculum, and encouraging students’ engagement. The Cronbach α coefficients of the scale was 0.935, and the Cronbach α coefficient of three factors were ranged from 0.721 to 0.912. The confirmatory factor analysis showed that the questionnaire has good construct validity and the fit indexes are good. MANOVA analysis of variance revealed that the differences in mathematics teachers’ PCK identified by students of different school types and grades were statistically significant. It is a validate measurement to evaluate the perceived mathematics teachers’ PCK for middle school students.
참고문헌 (43)
- Anastasi, A., "Psychological testing" (1988), Macmillan
- An, S., "The pedagogical content knowledge of middle school mathematics teachers in China and the U.S", Journal of Mathematics Teacher Education, 7(2), pp.145~172 (2004)
- Ball, D., "Content knowledge for teaching : What makes it special", Journal of Teacher Education, 59(5), pp.389~407 (2008)
- Bukova-Guzel, E., "Scale development for pre-service mathematics teachers' perceptions related to their pedagogical content knowledge", South African Journal of Education, 33(2), pp.1~21 (2013)
- Carlsen, W. S., "Examining Pedagogical content knowledge: the construct and its implications for science education", pp.133~144 (1999), Kluwer Academic Publishers
- Cochran, K. F., "Pedagogical content knowledge: A tentative model for teacher preparation", Paper presented at the Annual Meeting of the American Educational Research Association (1991)
- Cole, D. A., "Utility of confirmatory factor analysis in test validation research", Journal of Consulting and Clinical Psychology, 55(4), pp.584~594 (1987)
- De Jong, O., "Teachers’ professional knowledge in science and mathematics education: views from Malaysia and abroad", pp.1~25 (2009), The National University of Malaysia
- Fernandez-Balboa, J. M., "The generic nature of pedagogical content knowledge among college professors", Teaching and Teacher Education, 11(3), pp.293~306 (1995)
- Fink, A., "How to conduct surveys : A step-by-step guide" (1998), Sage Publications
- Gess-Newsome, J., "Preservice biological teachers’ knowledge structures as a function of professional teacher education : A year-long assessment", Science Teacher Education, 77(1), pp.25~43 (1993)
- Geddis, A. N., "Transforming subject matter and managing dilemmas : A case study in teacher education", Teaching and Teacher Education, 13(6), pp.611~626 (1997)
- Grossman, P., "The making of a teacher : Teacher knowledge and teacher education" (1990), Teachers College Press
- Gudmundsdottir, S., "Pedagogical knowledge in social studies", Scandinavian Journal of Educational Research, 31(2), pp.59~70 (1987)
- Halim, L., "Students’ perceptions of their science teachers’ pedagogical content knowledge", Journal of Science Education and Technology, 23(2), pp.227~237 (2014)
- Hooper, D., "Structural equation modelling : Guidelines for determining model fit", Electronic Journal of Business Research Methods, 6(1), pp.53~60 (2008)
- Jang, S. J., "Developing in-service science teachers’ PCK through a peer coaching-based model", Journal of Education Research, 3(1, pp.2) (2009), 87~108
- Jang, S. -J., "Development of PCK for Novice and Experienced University Physics Instructors : A Case Study", Teaching in Higher Education, 18(1), pp.27~39 (2013)
- Kennedy, M. M., "Education reform and subject knowledge", Journal of Research in Science Teaching, 35(3), pp.249~263 (1998)
- Knight, S. L., "Effective teaching: Current research", pp.239~255 (1991), McCutchan
- Lee, E., "Experienced secondary science teachers’ representation of pedagogical content knowledge", International Journal of Science Education, 30(10), pp.1343~1363 (2008)
- Li, M., "Study about the component and form of mathematics pedagogical content knowledge and its meaning", Journal of Mathematics Education, 20(2), pp.10~14 (2011)[DOI]
- Litwin, M. S., "How to measure survey reliability and validity" (1995), Sage Publications
- Loughran, J., "Science cases in action: Developing an understanding of science teachers’ pedagogical content knowledge", Paper presented at the Annual Meeting of the National Association for Research in Science Teaching (2000)
- Magnusson, S., "Examining pedagogical content knowledge: The construct and its implications for science education", pp.95~132 (1999), Kluwer
- Marks, R., "Pedagogical content knowledge : From a mathematical case to a modified conception", Journal of Teacher Education, 41(3), pp.3~11 (1990)
- Morine-Dershimer, G., "Examining pedagogical content knowledge: the construct and its implications for science education", pp.21~50 (1999), Kluwer Academic Publishers
- Voices form the classroom: Students and teachers speaking out on the quality of teaching in our schools, "Olson, L.", ERIC, ~, pp.No. ED 252497 (1984)
- Park, S., "Revisiting the conceptualisation of pedagogical content knowledge(PCK) : PCK as a conceptual tool to understand teachers as professionals", Research in Science Education, 38(3), pp.261~284 (2008)
- Reynold, A., "What is competent beginning teaching? A review of the literature", Review of Educational Research, 62(1), pp.1~35 (1992)
- Rollnick M., "The place of subject matter knowledge in PCK–a case study of South African teachers teaching the amount of substance and equilibrium", International Journal of Science Education, 30(10), pp.1365~1387 (2008)
- Senocak, E., "Development of an instrument for assessing undergraduate science students’ perceptions : The problem-based learning environment inventory", Journal of Science Education and Technology, 18(6), pp.560~569 (2009)
- Shulman, L. S., "Those who understand : Knowledge growth in teaching", Educational Researcher, 15(2), pp.4~14 (1986)[DOI]
- Shulman, L. S., "Knowledge and teaching : Foundations of the new reform", Harvard Educational Review, 57(1), pp.1~22 (1987)
- Smith, D. C., "The construction of subject matter knowledge in primary science teaching", Teaching and Teacher Education, 5(1), pp.1~20 (1989)
- Tamir, P., "Subject matter and related pedagogical knowledge in teacher education", Teaching and Teacher Education, 4(2), pp.99~100 (1988)
- Thompson, B., "Exploratory and confirmatory factor analysis : Understanding concepts and applications" (2004), American Psychological Association
- Tong, L., "Mathematical pedagogical content knowledge : the new perspective of mathematics teachers professional development", Journal of Mathematics Education, 19(2), pp.23~27 (2010)[DOI]
- Tuan, H. L., "Pedagogical content knowledge: A revelation of the reform of future science teacher education", Proceedings of the First Mathematics and Science Teaching and Teacher Education conference, pp.118~143 (1996)
- Tuan, H. L., "The development of an instrument for assessing students' perceptions of teachers' knowledge", International Journal of Science Education, 22(4), pp.385~398 (2000)
- Uner, S., "Secondary students’ perceptions of their teachers’ pedagogical content knowledge", Teacher Development, 23(5), pp.566~587 (2019)
- Wilson, S. M., "Exploring teachers’ thinking", pp.104~124 (1987), Holt, Rinehart & Winston
- Wong, N., "Mathematical pedagogical content knowledge : Structure and research case", Journal of Mathematics Education, 18(1), pp.5~9 (2009)[DOI]