logo logo European Journal of Mathematics and Science Education

EJMSE is is a, peer reviewed, online academic research journal.

Subscribe to

Receive Email Alerts

for special events, calls for papers, and professional development opportunities.

Subscribe

Publisher (HQ)

RHAPSODE
Eurasian Society of Educational Research
College House, 2nd Floor 17 King Edwards Road, Ruislip, London, HA4 7AE, UK
RHAPSODE
Headquarters
College House, 2nd Floor 17 King Edwards Road, Ruislip, London, HA4 7AE, UK
Research Article

Teacher Conceptualization of Pedagogical Content Knowledge Through the Lens of Experts’ Perspectives

Cynthia Gamez , Mourat Tchoshanov , Katrina Villalobos

This study compares experts' and teachers' conceptualization of pedagogical content knowledge (PCK). The study participants included teachers .

T

This study compares experts' and teachers' conceptualization of pedagogical content knowledge (PCK). The study participants included teachers (n=20) enrolled in a graduate mathematics education course on PCK. Participants responded to two open-ended questions: a) describe in your own words what PCK is; b) provide an example of PCK. The responses were collected, qualitatively and quantitatively analyzed, and then compared to those suggested by experts to identify and describe the similarities and differences between teachers’ and experts’ conceptualizations using the Pareto analysis. Experts’ and teachers’ PCK components ranking was analyzed using the nonparametric Mann-Whitney U test. Even though the results of the quantitative analysis were not significant (e.g., the observed U-value is 32 whereas the critical value of U at p < .05 is 13), the qualitative discussion on the differences between expert and teachers’ ranking suggests insightful interpretation of priorities among PCK components across the two groups.

Keywords: ert perspective on PCK, graduate mathematics education, pedagogical content knowledge, teacher conceptualization of PCK.

cloud_download PDF
Cite
Article Metrics
Views
14
Download
30
Citations
Crossref
0

References

Abbas, M., Ramzan, A., Hussain, S. N., Ahmad, B., Qureshi, & Tariq, S. (2020). A phenomenological research study: Pareto principle and executive’s level of leadership, rules, process and results. Webology, 17(2), 1118-1128. https://tinyurl.com/4u2yyzdu

Abell, S. K., Rogers, M. A. P., Hanuscin, D. L., Lee, M. H., & Gagnon, M. J. (2009). Preparing the next generation of science teacher educators: A model for developing PCK for teaching science teachers. Journal of Science Teacher Education, 20(1), 77-93. https://doi.org/10.1007/s10972-008-9115-6

Alkiayat, M. (2021). A practical guide to creating a Pareto chart as a quality improvement tool. Global Journal on Quality and Safety in Healthcare, 4(2), 83-84. https://doi.org/10.36401/JQSH-21-X1

Alvidrez, M., Louie, N., & Tchoshanov, M. (2024). From mistakes, we learn? Mathematics teachers’ epistemological and positional framing of mistakes. Journal of Mathematics Teacher Education, 27, 111-136. https://doi.org/10.1007/s10857-022-09553-4

An, S., Kulm, G., & Wu, Z. (2004). The pedagogical content knowledge of middle school mathematics teachers in China and the U.S. Journal of Mathematics Teacher Education, 7, 145-172. https://doi.org/10.1023/B:JMTE.0000021943.35739.1c

Carlsen, W. (1999). Domains of teacher knowledge. In J. Gess-Newsome & N. G. Lederman (Eds.), Examining pedagogical content knowledge (pp. 133-144). Kluwer Academic Publishers.  https://doi.org/10.1007/0-306-47217-1_5   

Clinical Excellence Commission. (n.d.). Pareto Charts & 80-20 Rule. NSW Government. https://tinyurl.com/yyesv5z9

Cochran, F. K., DeRuiter, J. A., & King, R. A. (1993). Pedagogical content knowing: An integrative model for teacher preparation. Journal of Teacher Education, 44(4), 263-272. https://doi.org/10.1177/0022487193044004004

Comeaux, M. A. (1991). Book Review: The making of a teacher: Teacher knowledge and teacher education. Journal of Teacher Education, 42(5), 379-382. https://doi.org/10.1177/002248719104200507

Copur-Gencturk, Y., & Tolar, T. (2022). Mathematics teaching expertise: A study of the dimensionality of content knowledge, pedagogical content knowledge, and content specific noticing skills. Teaching and Teacher Education, 114, Article 103696. https://doi.org/10.1016/j.tate.2022.103696

Depaepe, F., Verschaffel, L., & Kelchtermans, G. (2013). Pedagogical content knowledge: A systematic review of the way in which the concept has pervaded mathematics educational research. Teaching and Teacher Education, 34, 12-25. https://doi.org/10.1016/j.tate.2013.03.001 

Fernández, C. (2014). Knowledge base for teaching and pedagogical content knowledge (PCK): Some useful models and implications for teachers’ training. Problems of Education in the 21st century, 60, 79-100. https://doi.org/10.33225/pec/14.60.79 

Fernández-Balboa, J.-M., & Stiehl, J. (1995). The generic nature of pedagogical content knowledge among college professors. Teaching and Teacher Education, 11(3), 293-306. https://doi.org/10.1016/0742-051X(94)00030-A

Grossman, P. L. (1990). The making of a teacher: Teacher knowledge and teacher education. Teachers College Press.

Gupta, S., & Shrivastava, M. (2023). Behavioral finance: A critical literature review using Pareto analysis. Thailand and the World Economy41(2), 156-183. https://bit.ly/3MJNmD8

Hill, H. C., Ball, D. L., & Schilling, S. G. (2008). Unpacking pedagogical content knowledge: Conceptualizing and measuring teachers’ topic-specific knowledge of students. Journal for Research in Mathematics Education, 39(4), 372-400. https://doi.org/10.5951/jresematheduc.39.4.0372

Kind, V. (2009). Pedagogical content knowledge in science education: Perspectives and potential for progress. Studies in Science Education, 45(2), 169-204. https//doi.org/10.1080/03057260903142285

Kvale, S., & Brinkman, S. (2009). Interviews: Learning the craft of qualitative research interviewing (2nd ed). Sage Publications.

Magnusson, S., Krajcik, J., & Borko, H. (1999). Nature, sources and development of pedagogical content knowledge for science teaching. In J. Gess-Newsome & N. G. Lederman (Eds.), Examining pedagogical content knowledge (pp. 95-132). Kluwer Academic Publishers. https://doi.org/10.1007/0-306-47217-1_4

Marks, R. (1990). Pedagogical content knowledge: From a mathematical case to a modified conception. Journal of Teacher Education, 41(3), 3-11. https://doi.org/10.1177/002248719004100302

Monarrez, A., & Tchoshanov, M. (2022). Unpacking teacher challenges in understanding and implementing cognitively demanding tasks in secondary school mathematics classrooms. International Journal of Mathematical Education in Science and Technology, 53(8), 2026-2045. https://doi.org/10.1080/0020739X.2020.1857860

Morine-Dershimer, G., & Kent, T. (1999). The complex nature and sources of teachers´ pedagogical knowledge. In J. Gess-Newsome & N. G. Lederman (Eds.), Examining pedagogical content knowledge (pp. 21-50). Kluwer Academic Publishers. https://doi.org/10.1007/0-306-47217-1_2

Park, S., & Oliver, J. S. (2008). Revisiting the conceptualization of pedagogical content knowledge (PCK): PCK as a conceptual tool to understand teachers as professionals. Research in Science Education, 38, 261-284.  https://doi.org/10.1007/s11165-007-9049-6

Popping, R. (2015). Analyzing open-ended questions by means of text analysis procedures. Bulletin of Sociological Methodology/Bulletin de Méthodologie Sociologique, 128(1), 23-39. https://doi.org/10.1177/0759106315597389

Rollnick, M., Bennett, J., Rhemtula, M., Dharsey, N., & Ndlovu, T. (2008). The place of subject matter knowledge in pedagogical content knowledge: A case study of South African teachers teaching the amount of substance and chemical equilibrium. International Journal of Science Education, 30(10), 1365-1387. https://doi.org/10.1080/09500690802187025

Saldaña, J. (2015). The coding manual for qualitative researchers (3rd ed.). SAGE Publications.

Shulman, L. S. (1986). Those who understand: Knowledge growth in teaching. Educational Researcher, 15(2), 4-14. https://doi.org/10.3102/0013189X015002004

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

Tchoshanov, M., Quinones, M. C., Ibragimova, E., Shakirova, L., & Shakirova, K. (2019). Lower Secondary School Mathematics Teachers’ Topic Specific Content Knowledge in the U.S. and Russia. Education and Self Development, 14(1), 31-44. https://doi.org/10.26907/esd14.1.05

Zinebi, K., Souissi, N., & Tikito, K. (2018). Selecting qualitative features of driver behavior via Pareto analysis. International Journal of Modern Education and Computer Science, 10(10), 1-10. https://doi.org/10.5815/ijmecs.2018.10.01

...