Professional competence: how specialized content knowledge shapes the identity and practice of teachers

https://doi.org/10.51574/hamka.v4i1.112

Authors

  • Taabo Mugume Directorate for Institutional Research and Academic Planning, University of the Free State, Bloemfontein, South Africa
  • Mesharch W Katusiimeh Directorate for Institutional Research and Academic Planning, University of the Free State, Bloemfontein, South Africa

Keywords:

Specialized Content Knowledge, Teacher Professional Competence, Teacher Noticing, Problem-Solving Fluency, Professional Identity

Abstract

Purpose:This study investigates how Specialized Content Knowledge (SCK) operates as a dynamic, domain-specific construct to address critical gaps in understanding how cognitive content subdomains influence real-time teacher noticing, error diagnosis, and professional identity shifts among secondary mathematics educators.

Method:An explanatory sequential mixed-methods design was conducted with secondary mathematics teachers ( ; nested qualitative subsample ). Quantitative data were gathered using an adapted Mathematical Knowledge for Teaching (MKT) diagnostic instrument and analyzed via Item Response Theory (IRT) and Multilevel Regression, while qualitative phases utilized classroom video recordings and 60-minute video-stimulated recall interviews analyzed via two-stage coding in NVivo ( ).

Findings:Results demonstrate that higher SCK directly dictates procedural fluency across Polya’s problem-solving stages, specifically enabling solution verification ("looking back"). Qualitative video analysis revealed that advanced SCK empowers real-time teacher noticing and adaptive, on-the-spot error diagnosis during algebraic instruction, serving as a primary catalyst for transforming teacher identity from passive curriculum deliverers into autonomous knowledge workers.

Practical implications:The findings offer actionable strategies for teacher education and professional development programs to transition from generic pedagogy toward video-based error analysis, domain-specific noticing protocols, and reflective field observations.

Originality/value:This research provides a novel, practice-based empirical framework that directly links cognitive content subdomains (SCK) to live classroom noticing, interactive decision-making, and affective professional identity transformation.

Downloads

Download data is not yet available.

References

Adler, J. (2021). Levering change: The contributory role of a mathematics teaching framework. ZDM – Mathematics Education, 53(6), 1207–1220. Crossref DOI: https://doi.org/10.1007/s11858-021-01273-y

Andrews, T. C., Speer, N. M., & Shultz, G. V. (2022). Building bridges: A review and synthesis of research on teaching knowledge for undergraduate instruction in science, engineering, and mathematics. International Journal of STEM Education, 9(1), Article 40. Crossref DOI: https://doi.org/10.1186/s40594-022-00380-w

Ball, D. L. (2000). Bridging practices: Information architecture and technical communication. Journal of Teacher Education, 51(3), 241–247. Crossref DOI: https://doi.org/10.1177/0022487100051003013

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. Crossref DOI: https://doi.org/10.1177/0022487108324554

Bass, H. (2005). Mathematics, mathematicians, and mathematics education. Bulletin of the American Mathematical Society, 42(4), 417–430. Crossref DOI: https://doi.org/10.1090/S0273-0979-05-01072-4

Baumert, J., Kunter, M., Blum, W., Brunner, M., Voss, T., Jordan, A., Klusmann, U., Krauss, S., Neubrand, M., & Tsai, Y. (2009). Teachers’ mathematical knowledge, cognitive activation in the classroom, and student progress. American Educational Research Journal, 47(1), 133–180. Crossref DOI: https://doi.org/10.3102/0002831209345157

Bjuland, R., & Mosvold, R. (2015). Lesson study in teacher education: Learning from a challenging case. Teaching and Teacher Education, 52, 83–90. Crossref DOI: https://doi.org/10.1016/j.tate.2015.09.005

Blömeke, S., Kaiser, G., König, J., & Jentsch, A. (2020). Profiles of mathematics teachers’ competence and their relation to instructional quality. ZDM – Mathematics Education, 52(2), 329–342. Crossref DOI: https://doi.org/10.1007/s11858-020-01128-y

Çevikbaş, M., König, J., & Rothland, M. (2023). Empirical research on teacher competence in mathematics lesson planning: Recent developments. ZDM – Mathematics Education, 56(1), 101–113. Crossref DOI: https://doi.org/10.1007/s11858-023-01487-2

Clark‐Wilson, A., Robutti, O., & Thomas, M. (2020). Teaching with digital technology. ZDM – Mathematics Education, 52(7), 1223–1242. Crossref DOI: https://doi.org/10.1007/s11858-020-01196-0

Copur‐Gencturk, Y., & Li, J. (2022). Teaching matters: A longitudinal study of mathematics teachers’ knowledge growth. Teaching and Teacher Education, 121, Article 103949. Crossref DOI: https://doi.org/10.1016/j.tate.2022.103949

Copur‐Gencturk, Y., & Tolar, T. D. (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. Crossref DOI: https://doi.org/10.1016/j.tate.2022.103696

Deng, Z. (2017). Pedagogical content knowledge reconceived: Bringing curriculum thinking into the conversation on teachers’ content knowledge. Teaching and Teacher Education, 72, 155–164. Crossref DOI: https://doi.org/10.1016/j.tate.2017.11.021

Dijk, E. E. van, Geertsema, J., Schaaf, M. F. van der, Tartwijk, J. van, & Kluijtmans, M. (2022). Connecting academics’ disciplinary knowledge to their professional development as university teachers: A conceptual analysis of teacher expertise and teacher knowledge. Higher Education, 86(4), 969–984. Crossref DOI: https://doi.org/10.1007/s10734-022-00953-2

Driel, J. van, & Berry, A. (2012). Teacher professional development focusing on pedagogical content knowledge. Educational Researcher, 41(1), 26–28. Crossref DOI: https://doi.org/10.3102/0013189X11431010

Dwiyanti, U., & Gabriel, T. (2023). Documentation Management Of Teacher Professional Education Program (PPG) For Pre-Service Teacher. HAMKA INSIGHT, 2(1), 21–28. Crossref DOI: https://doi.org/10.51574/hamka.v2i1.93

Fauziyah, L. H., Muhammad, S., & Azam Ismail, R. (2023). The Effect Of Online Learning On Student Creativity In Vocational High Schools. HAMKA INSIGHT, 2(1), 8–20. Crossref DOI: https://doi.org/10.51574/hamka.v2i1.97

Fraser, S., Beswick, K., & Crowley, S. (2019). Making tacit knowledge visible: Uncovering the knowledge of science and mathematics teachers. Teaching and Teacher Education, 86, Article 102907. Crossref DOI: https://doi.org/10.1016/j.tate.2019.102907

Hoth, J., Larraín, M., & Kaiser, G. (2022). Identifying and dealing with student errors in the mathematics classroom: Cognitive and motivational requirements. Frontiers in Psychology, 13, Article 1057730. Crossref DOI: https://doi.org/10.3389/fpsyg.2022.1057730

Jeschke, C., Kuhn, C., Heinze, A., Zlatkin‐Troitschanskaia, O., Saas, H., & Lindmeier, A. (2021). Teachers’ ability to apply their subject-specific knowledge in instructional settings—A qualitative comparative study in the subjects mathematics and economics. Frontiers in Education, 6, Article 683962. Crossref DOI: https://doi.org/10.3389/feduc.2021.683962

Kind, V., & Chan, K. K. H. (2019). Resolving the amalgam: Connecting pedagogical content knowledge, content knowledge and pedagogical knowledge. International Journal of Science Education, 41(7), 964–978. Crossref DOI: https://doi.org/10.1080/09500693.2019.1584931

Kleickmann, T., Richter, D., Kunter, M., Elsner, J., Besser, M., Krauss, S., & Baumert, J. (2012). Teachers’ content knowledge and pedagogical content knowledge: The role of structural differences in teacher education. Journal of Teacher Education, 64(1), 90–106. Crossref DOI: https://doi.org/10.1177/0022487112460398

Krauss, S., Baumert, J., & Blum, W. (2008). Secondary mathematics teachers’ pedagogical content knowledge and content knowledge: Validation of the COACTIV constructs. ZDM – Mathematics Education, 40(5), 873–892. Crossref DOI: https://doi.org/10.1007/s11858-008-0141-9

Labaree, D. F. (2000). On the nature of teaching and teacher education: Difficult practices that look easy. Journal of Teacher Education, 51(3), 228–233. Crossref DOI: https://doi.org/10.1177/0022487100051003011

Muslimah, Ahmad, N., & Nugroho, M. (2022). Desain media pembelajaran biaya peluang berbasis powtoon dalam meningkatkan literasi dan numerasi siswa. Hamka Insight, 1(2), 54–59. Crossref DOI: https://doi.org/10.51574/hamka.v1i2.6

Ping, C., Schellings, G., & Beijaard, D. (2018). Teacher educators’ professional learning: A literature review. Teaching and Teacher Education, 75, 93–104. Crossref DOI: https://doi.org/10.1016/j.tate.2018.06.003

Prediger, S., Götze, D., Holzäpfel, L., Rösken-Winter, B., & Selter, C. (2022). Five principles for high-quality mathematics teaching: Combining normative, epistemological, empirical, and pragmatic perspectives for specifying the content of professional development. Frontiers in Education, 7, Article 969212. Crossref DOI: https://doi.org/10.3389/feduc.2022.969212

Resiyana, K., Nugraha, A., & Sakti Nugroho, B. (2023). Mathematical Problem Solving Ability in Solving Sequence and Series Problems Using Polya Stages. HAMKA INSIGHT, 2(1), 1–7. Crossref DOI: https://doi.org/10.51574/hamka.v2i1.94

Santagata, R., & Yeh, C. (2015). The role of perception, interpretation, and decision making in the development of beginning teachers’ competence. ZDM – Mathematics Education, 47(4), 517–529. Crossref DOI: https://doi.org/10.1007/s11858-015-0737-9

Santagata, R., Yeh, C., & Mercado, J. (2018). Preparing elementary school teachers to learn from teaching: A comparison of two approaches to mathematics methods instruction. Journal of the Learning Sciences, 27(3), 474–516. Crossref DOI: https://doi.org/10.1080/10508406.2018.1441030

Vrikki, M., Warwick, P., Vermunt, J. D., Mercer, N., & Halem, N. van. (2016). Teacher learning in the context of Lesson Study: A video-based analysis of teacher discussions. Teaching and Teacher Education, 61, 211–224. Crossref DOI: https://doi.org/10.1016/j.tate.2016.10.014

Weyers, J., König, J., Scheiner, T., Santagata, R., & Kaiser, G. (2023). Teacher noticing in mathematics education: A review of recent developments. ZDM – Mathematics Education, 56(2), 249–264. Crossref DOI: https://doi.org/10.1007/s11858-023-01527-x

Woods, P. J., & Copur‐Gencturk, Y. (2023). Examining the role of student-centered versus teacher-centered pedagogical approaches to self-directed learning through teaching. Teaching and Teacher Education, 138, Article 104415. Crossref DOI: https://doi.org/10.1016/j.tate.2023.104415

Yang, X., & Kaiser, G. (2022). The impact of mathematics teachers’ professional competence on instructional quality and students’ mathematics learning outcomes. Current Opinion in Behavioral Sciences, 48, Article 101225. Crossref DOI: https://doi.org/10.1016/j.cobeha.2022.101225

Yang, X., Kaiser, G., König, J., & Blömeke, S. (2020a). Relationship between pre-service mathematics teachers’ knowledge, beliefs and instructional practices in China. ZDM – Mathematics Education, 52(2), 281–294. Crossref DOI: https://doi.org/10.1007/s11858-020-01145-x

Yang, X., Kaiser, G., König, J., & Blömeke, S. (2020b). Relationship between Chinese mathematics teachers’ knowledge and their professional noticing. International Journal of Science and Mathematics Education, 19(4), 815–837. Crossref DOI: https://doi.org/10.1007/s10763-020-10089-3

Published

2024-06-27

How to Cite

Mugume, T., & Katusiimeh, M. W. (2024). Professional competence: how specialized content knowledge shapes the identity and practice of teachers . HAMKA INSIGHT, 4(1), 86–110. https://doi.org/10.51574/hamka.v4i1.112

Issue

Section

Research Papers