@inbook{0d1f32b86aa94931bfc019b6ae16ee8f,
title = "Using First- and Second-Order Models to Characterise In-Service Teachers{\textquoteright} Video-Aided Reflection on Teaching and Learning with 3D Pens",
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{\textquoteright} 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{\textquoteright} reflections and interpretations of students{\textquoteright} 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{\textquoteright} 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{\textquoteright} 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.",
keywords = "Technology-rich teaching, Mathematics teacher, Video-based professional development, Constructivism, First- and second-order modeling, 3D printing",
author = "Oi-Lam Ng and Biyao Liang and LEUNG, {Allen Y L}",
note = "This study is supported by the Research Grants Council (Hong Kong), Early Career Scheme (Reference No. 24615919). Publisher Copyright: {\textcopyright} 2022 The Author(s), under exclusive license to Springer Nature Switzerland AG",
year = "2022",
month = mar,
day = "3",
doi = "10.1007/978-3-031-05254-5_4",
language = "English",
isbn = "9783031052538",
series = "Mathematics Education in the Digital Era",
publisher = "Springer",
pages = "95--117",
editor = "Alison Clark-Wilson and Ornella Robutti and Nathalie Sinclair",
booktitle = "The Mathematics Teacher in the Digital Era",
edition = "2",
}