Abstract
Teacher competence is a multi-dimensional construct that includes beliefs as well as knowledge. The present study investigated the structure of prospective preschool teachers’ mathematics-related beliefs and their relation to content knowledge and pedagogical content knowledge. In addition, prospective preschool teachers’ perception and planning skills were assessed as indicators of teacher performance. Questionnaires were used to measure beliefs, paper-and-pencil based achievement tests to measure knowledge, and a video-based test to measure perception and planning abilities. Confirmatory factor analyses revealed that prospective preschool teachers’ mathematics-related beliefs can be distinguished into a static, a process, and an application orientation. Structural equation modeling revealed that an application orientation and mathematics pedagogical content knowledge can predict the ability to perceive mathematical learning situations and to plan adequate actions. Conclusions for preschool teacher education are drawn from the results.
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Notes
KomMa (Struktur, Niveau und Entwicklung professioneller Kompetenz von Erzieher/innen im Bereich Mathematik) is a joint research project at the Humboldt-Universität zu Berlin and the Alice-Salomon University of Applied Science Berlin. It is funded by the Federal Ministry of Education and Research (FKZ: 01PK11002A) and is part of the funding initiative KoKoHs (Kompetenzmodellierung und Kompetenzerfassung im Hochschulsektor).
Yules Y is a better estimator for Cohen’s κ when marginal distributions are unequal (Wirtz and Caspar 2002).
References
Baer, M., Dörr, G., Fraefel, U., Kocher, M., Küster, O., Larcher, S., et al. (2007). Werden angehende Lehrpersonen durch das Studium kompetenter?—Kompetenzaufbau und Standarderreichung in der berufswissenschaftlichen Ausbildung an drei Pädagogischen Hochschulen in der Schweiz und in Deutschland. Unterrichtswissenschaft, 35(1), 15–47.
Ball, D. (1988). Research on teaching mathematics: making subject matter knowledge part of the equation. East Lansing: National Center for Research on Teacher Education.
Ball, D., & Bass, H. (2000). Interweaving content and pedagogy in teaching and learning to teach: knowing and using mathematics. In J. Boaler (Ed.), Multiple perspectives on the teaching and learning of mathematics (pp. 83–104). Westport: Ablex.
Ball, D., & Bass, H. (2009). With an eye on the mathematical horizon: knowing mathematics for teaching to learners’ mathematical futures. In M. Neubrand (Ed.), Beiträge zum Mathematikunterricht 2009 (pp. 11–22). Münster: WTM.
Benz, C. (2012). Attitudes of kindergarten educators about math. Journal für Mathematik-Didaktik, 33, 203–232.
Blomberg, G., Stürmer, K., & Seidel, T. (2011). How pre-service teachers observe teaching on video: effects of viewers’ teaching subjects and the subject of the video. Teaching and Teacher Education, 27, 1131–1140.
Blömeke, S., Gustafsson, J.-E., & Shavelson, R. (2014). Beyond dichotomies: competence viewed as a continuum. Zeitschrift für Psychologie (accepted).
Blömeke, S., Hoth, J., Döhrmann, M., Busse, A., Kaiser, G. & König, J. (2015). Teacher change during induction: Profiles in the development of beginning primary teachers’ knowledge and beliefs and their relation to performance. International Journal of Science and Mathematics Education (accepted).
Blömeke, S., Kaiser, G., & Lehmann, R. (2008). Professionelle Kompetenz angehender Lehrerinnen und Lehrer: Wissen, Überzeugungen und Lerngelegenheiten deutscher Mathematikstudierender und –referendare. Erste Ergebnisse zur Wirksamkeit der Lehrerausbildung. Münster: Waxmann.
Blömeke, S., Suhl, U., & Döhrmann, M. (2012). Zusammenfügen was zusammengehört. Kompetenzprofile am Ende der Lehrerausbildung im internationalen Vergleich. Zeitschrift für Pädagogik, 58 (4), 422–440.
Bromme, R. (2005). Thinking and knowing about knowledge: a plea for and critical remarks on psychological research programs on epistemological beliefs. In M. Hoffmann, J. Lenhard, & F. Seeger (Eds.), Activity and sign—grounding mathematics education (pp. 191–201). New York: Springer.
Charlesworth, R., Hart, C. H., Burts, D. C., Thomason, R. H., Mosley, J., & Fleege, P. O. (1993). Measuring the developmental appropriateness of kindergarten teachers’ beliefs and practices. Early Childhood Research Quarterly, 8, 255–276.
Dunekacke, S., Jenßen, L., & Blömeke, S. (2015a). Effects of mathematics content knowledge on pre-school teachers’ performance: a video-based assessment of perception and planning abilities in informal learning situations. International Journal of Science and Mathematics Education (accepted).
Dunekacke, S., Jenßen, L., & Blömeke, S. (2015b). Mathematikdidaktische Kompetenz von Erzieherinnen und Erziehern: Validierung des KomMa-Leistungstests durch die videogestützte Erhebung von Performanz. Zeitschrift für Pädagogik (accepted).
Felbrich, A., Müller, C., & Blömeke, S. (2008). Epistemological beliefs concerning the nature of mathematics among teacher educators and teacher education students in mathematics. ZDM—The International Journal on Mathematics Education, 40, 763–776.
Fröhlich-Gildhoff, K., Nentwig-Gesemann, I., & Pietsch, S. (2011). Kompetenzorientierung in der Qualifizierung frühpädagogischer Fachkräfte. Eine Expertise der Weiterbildungsinitiative Frühpädagogische Fachkräfte (WiFF). München: Deutsches Jugendinsitut e.V.
Ginsburg, H. P., & Ertle, B. (2008). Knowing the mathematics in early childhood mathematics. In O. N. Saracho & B. Spodek (Eds.), Contemporary perspectives on mathematics in early childhood education (pp. 45–66). Charlotte: Information AGE.
Grigutsch, S., Raatz, U., & Törner, G. (1998). Einstellungen gegenüber Mathematik bei Mathematiklehrern. Journal für Mathematik-Didaktik, 19, 3–45.
Hasemann, K., & Gasteiger, H. (2014). Anfangsunterricht Mathematik. Berlin: Springer.
Hogrebe, N., Schulz, S., & Böttcher, W. (2012). Professionalisierung im Elementarbereich—Personalentwicklung im Spannungsfeld von Anspruch und Wirklichkeit. Soziale Passagen, 4, 247–261.
Hu, L., & Bentler, P. M. (1999). Cutoff criteria for fit indexes in covariance structure analysis: conventional criteria versus new alternatives. Structural Equation Modeling: A Multidisciplinary Journal, 6(1), 1–55.
Jenßen, L., Dunekacke, S. & Blömeke, S. (2015a). Qualitätssicherung in der Kompetenzforschung: Empfehlungen für den Nachweis von Validität in Testentwicklung und Veröffentlichungspraxis. Zeitschrift für Pädagogik (accepted).
Jenßen, L., Dunekacke, S., Eid, M. & Blömeke, S. (2015b). The relationship of mathematical competence and mathematics anxiety—an application of latent state-trait theory. Zeitschrift für Psychologie, 223(1), 31–38.
Jenßen, L., Dunekacke, S., Baack, W., Tengler, M., Koinzer, T., Schmude, C., Wedekind, H., Grassmann, M. & Blömeke, S. (2015c). KomMa: Mathematikbezogene Kompetenz von Erzieher/-innen: Theoretischer Rahmen, Strukturanalyse und Zusammenhang zu Ausbildungsinhalten.
Joas, H. (1996). Die Kreativität des Handelns. Frankfurt: Suhrkamp.
Kahan, J. A., Cooper, D. A., & Bethea, K. A. (2003). The role of mathematics teachers’ content knowledge in their teaching: a framework for research applied to a study of student teachers. Journal of Mathematics Teacher Education, 6, 223–252.
Kane, M. T. (1992). The assessment of professional competence. Evaluation and the Health Professions, 15(2), 163–182.
Kersting, N. (2008). Using video clips of mathematics classroom instruction as item prompts to measure teachers’ knowledge of teaching mathematics. Educational and Psychological Measurement, 68(5), 845–861.
König, J., Blömeke, S., Klein, P., Suhl, U., Busse, A., & Kaiser, G. (2014). Is teachers’ general pedagogical knowledge a premise for noticing and interpreting classroom situations? A video-based assessment approach. Teaching and Teacher Education, 38, 76–88.
Krajewski, K., & Schneider, W. (2009). Early development of quantity to number-word linkage as a precursor of mathematical school achievement and mathematical difficulties: findings from a four-year longitudinal study. Learning and Instruction, 19, 513–526.
Leder, G., Pehkonen, E., & Törner, G. (Eds.). (2002). Beliefs. A hidden variable in mathematics education. Dordrecht: Kluwer.
Lee, J. (2010). Exploring Kindergarten teachers’ pedagogical content knowledge of mathematics. International Journal of Early Childhood, 47(1), 27–41.
Lee, J. S., & Ginsburg, H. P. (2007). What is appropriate mathematics education for four-year-olds? Prekindergarten teachers’ belief. Journal for Early Childhood Research, 5(1), 2–31.
Lee, J., Meadows, M., & Lee, J. O. (2003). What causes teachers to implement high quality mathematics education more frequently: focusing on teachers’ pedagogical content knowledge. Washington: ERIC.
Little, T. D., Cunningham, W. A., Shahar, G., & Widaman, K. F. (2002). To parcel or not to parcel: exploring the question, weighing the merits. Structural Equation Modeling, 9, 151–173.
Muthén, L. K., & Muthén, B. O. (2007). Mplus user’s guide (5th ed.). Los Angeles: Muthén & Muthén.
Nespor, J. (1987). The role of beliefs in the practice of teaching. Journal of Curriculum Studies, 19, 317–328.
Perrez, M., Huber, G. L., & Geißler, K. A. (2001). Psychologie der pädagogischen Interaktion. In A. Krapp & B. Weidenmann (Eds.), Pädagogische Psychologie. Ein Lehrbuch (pp. 358–413). 4. Vollständig überarbeitete Auflage. Weinheim: Beltz.
Richardson, V. (1996). The role of attitudes and beliefs in learning to teach. In J. P. Sikula, T. J. Buttery, & E. Guyton (Eds.), Handbook of research on teacher education (pp. 102–119). Michigan: Macmillan.
Sarama, J., & Clements, D. H. (2009). Early childhood mathematics education research. Learning trajectories for young children. New York: Routledge.
Seo, K.-H., & Ginsburg, H. P. (2004). What is developmentally appropriate in early childhood mathematics education? Lessons from new research. In D. H. Clements, J. Sarama, & A.-M. DiBiase (Eds.), Engaging young children in mathematics: standards for early childhood mathematics education (pp. 91–104). Mahwah: Lawrence Erlbaum Associates.
Shulmann, L. (1986). Those who understand: knowledge growth in teaching. Educational Researcher, 15(2), 4–14.
Star, J. R., & Strickland, S. K. (2008). Learning to observe: using video to improve preservice mathematics teachers’ ability to notice. Journal for Mathematics Teacher Education, 107–125.
Stipek, D. J., & Byler, P. (1997). Early childhood teachers: do they practice what they preach? Early Childhood Research Quarterly, 12, 305–325.
Thiel, O. (2010). Teachers’ attitudes towards mathematics in early childhood education. European Early Childhood Education Research Journal, 18(1), 105–115.
van Es, E. A., & Scherin, M. G. (2006). Mathematics teachers “learning to notice” in the context of a video club. Teaching and Teacher Education, 24, 244–276.
van Oers, B. (2009). Emergent mathematical thinking in the context of play. Educational Studies in Mathematics, 74(1), 23–37.
Warfield, J. (2001). Teaching Kindergarten children to solve word problems. Early Childhood Education Journal, 28, 161–167.
Weinert, F.E. (2001). Concept of competence: a conceptual classification. In D.S. Rychen, & L. Hersh Salganik (Eds.), Defining and selecting key competencies. Göttingen: Hogrefe.
Widulle, W. (2009). Handlungsorientiert Lernen im Studium. Arbeitsbuch für soziale und pädagogische Berufe. Heidelberg: Springer.
Wirtz, M., & Caspar, F. (2002). Beurteilerübereinstimmung und Beurteilerreliabilität. Göttingen: Hogrefe.
Wittmann, E. Ch. (2009). Mathematische Bildung. In L. Fried & S. Roux (Eds.), Pädagogik der frühen Kindheit. Handbuch und Nachschlagewerk (pp. 205–211). Berlin: Cornelsen.
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Dunekacke, S., Jenßen, L., Eilerts, K. et al. Epistemological beliefs of prospective preschool teachers and their relation to knowledge, perception, and planning abilities in the field of mathematics: a process model. ZDM Mathematics Education 48, 125–137 (2016). https://doi.org/10.1007/s11858-015-0711-6
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DOI: https://doi.org/10.1007/s11858-015-0711-6