Using First- and Second-Order Models to Characterise In-Service Teachers’ Video-Aided Reflection on Teaching and Learning with 3D Pens

Oi-Lam Ng*, Biyao Liang, Allen Y L LEUNG

*Corresponding author for this work

    Research output: Chapter in book/report/conference proceedingChapterpeer-review

    Abstract

    This study examines the processes through which video-aided reflections may guide teachers to become aware of, and develop, expertise in the use of a novel-to-them technology in mathematics classrooms. Four mathematics teachers participated in this study aimed at exploring teachers’ initial experience of using and planning lessons with the technology of “3D Pens”, which enables learners to construct 3D models instantly via moving their hands. We analyse the participants’ reflections and interpretations of students’ actions during semi-structured interview sessions while they were watching video episodes of a lesson integrating 3D Pen for mathematics teaching and learning. Adopting the constructs of first- and second-order models, we provide fine-grained characterisation of the teachers’ mathematical and pedagogical learning in the moment of their reflection. The results suggest that the teacher participants not only shifted from operating on their first-order models to constructing second-order models of students’ geometrical thinking as supported by 3D Pens, but they also reasoned pedagogically based on their second-order models. Hence, watching videos of authentic technology-rich lessons facilitated a productive noticing experience for mathematics teachers in terms of realising the educational potential for the technology of the 3D Pens.
    Original languageEnglish
    Title of host publicationThe Mathematics Teacher in the Digital Era
    Subtitle of host publicationInternational Research on Professional Learning and Practice
    EditorsAlison Clark-Wilson, Ornella Robutti, Nathalie Sinclair
    Place of PublicationCham
    PublisherSpringer
    Pages95-117
    Number of pages23
    Edition2
    ISBN (Electronic)9783031052545
    ISBN (Print)9783031052538
    DOIs
    Publication statusPublished - 3 Mar 2022

    Publication series

    NameMathematics Education in the Digital Era
    PublisherSpringer
    Volume16
    ISSN (Print)2211-8136
    ISSN (Electronic)2211-8144

    User-Defined Keywords

    • Technology-rich teaching
    • Mathematics teacher
    • Video-based professional development
    • Constructivism
    • First- and second-order modeling
    • 3D printing

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