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Mathematics Pedagogical Content Knowledge Pdf

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Abstract

German pre-service teacher education aims to foster the concurrent formation of content knowledge, pedagogical knowledge, and pedagogical content knowledge. Accordingly, the coordination, sequencing, and prioritization of learning opportunities for the three areas of professional knowledge represent vital issues of the organization of teacher education at German universities. In this context, reanalyzing selected data of a previous experiment, we examined effects of instruction on pedagogical content knowledge about fractions in sixth-grade mathematics on the formation of corresponding content knowledge and generic pedagogical knowledge. Totaling 59 pre-service elementary school teachers, three groups had received seven hours of intervention on either content knowledge, pedagogical knowledge, or pedagogical content knowledge. Analyses of video recordings, ratings of treatment quality, and tests of professional knowledge revealed strong internal validity of the data. We found small effects of instruction on pedagogical content knowledge on the formation of both content knowledge and pedagogical knowledge. However, contrary to our expectations, effects on pedagogical knowledge were more consistent and statistically robust than effects on content knowledge. For the development of pedagogical knowledge in teacher education, this finding highlights the potential of parallel or integrated coursework, in which pre-service teachers use specific instructional strategies and student conceptions as examples to derive generic principles of teaching and learning.

Zusammenfassung

Das Lehramtsstudium in Deutschland zielt darauf ab, Fachwissen, fachdidaktisches Wissen und pädagogisches Wissen zu vermitteln. Entsprechend stellt die Koordinierung, Sequenzierung und Gewichtung von Lerngelegenheiten für diese drei Facetten des Professionswissens eine entscheidende Frage für die Organisation des Lehramtsstudiums dar. Vor diesem Hintergrund haben wir ausgewählte Daten eines früheren Experimentes reanalysiert, um Effekte fachdidaktischer Lehre zur Bruchrechnung der sechsten Jahrgangsstufe zur Bildung zugehörigen Fachwissens und generischen pädagogischen Wissens zu untersuchen. Drei Gruppen, mit insgesamt 59 Studierenden des Primarstufenlehramts, erhielten Interventionen von sieben Stunden in Fachwissen, pädagogischem Wissen oder fachdidaktischem Wissen. Auswertungen von Videoaufnahmen, Beurteilungen der Lehrqualität und Testungen des Professionswissens offenbarten eine starke interne Validität der genutzten Daten. Wir fanden kleine Effekte fachdidaktischer Lehre auf den Aufbau sowohl von Fachwissen als auch von pädagogischem Wissen. Entgegen unserer Erwartungen waren die Effekte auf pädagogisches Wissen allerdings konsistenter und statistisch besser abgesichert als die Effekte auf Fachwissen. Dieses Ergebnis hebt das Potential paralleler oder integrierter Kurse, in welchen Lehramtsstudierende konkrete Instruktionsstrategien und Schülervorstellungen als Beispiele zur Ableitung generischer Prinzipien des Lehrens und Lernens nutzen, für die Entwicklung pädagogischen Wissens im Lehramtsstudium hervor.

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Acknowledgements

The preparation of this paper was supported by grants KL 2355/1-1 and KU 1939/5-1 from the German Research Foundation (DFG) in the Priority Program "Competence Models for Assessing Individual Learning Outcomes and Evaluating Educational Processes" (SPP 1293).

Author information

Affiliations

  1. Department of Educational Research and Educational Psychology, Leibniz Institute for Science and Mathematics Education, Olshausenstraße 62, 24118, Kiel, Germany

    Steffen Tröbst

  2. Institute of Educational Science, Kiel University, Olshausenstraße 75, 24118, Kiel, Germany

    Steffen Tröbst & Thilo Kleickmann

  3. imec-ITEC, KU Leuven Kulak, Etienne Sabbelaan 53, 8500, Kortrijk, Belgium

    Fien Depaepe

  4. Department of Mathematics Education, Leibniz Institute for Science and Mathematics Education, Olshausenstraße 62, 24118, Kiel, Germany

    Aiso Heinze

  5. Department of Psychology, Goethe University, Theodor-W.-Adorno-Platz 6, 60629, Frankfurt am Main, Germany

    Mareike Kunter

Corresponding author

Correspondence to Steffen Tröbst.

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Tröbst, S., Kleickmann, T., Depaepe, F. et al. Effects of instruction on pedagogical content knowledge about fractions in sixth-grade mathematics on content knowledge and pedagogical knowledge. Unterrichtswiss 47, 79–97 (2019). https://doi.org/10.1007/s42010-019-00041-y

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  • DOI : https://doi.org/10.1007/s42010-019-00041-y

Keywords

  • Pedagogical content knowledge
  • Pedagogical knowledge
  • Intervention
  • Mathematics
  • Elementary education
  • Teacher education

Schlüsselwörter

  • Fachdidaktisches Wissen
  • Pädagogisches Wissen
  • Intervention
  • Mathematik
  • Primarstufe
  • Lehrerbildung

Mathematics Pedagogical Content Knowledge Pdf

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