Geometric transformations through quantitative reasoning

Karagöz Akar, G., Zembat, İ. Ö. , Arslan, S. and Belin, M. (2023) Geometric transformations through quantitative reasoning. In: Karagöz Akar, G., Zembat, İ. Ö., Arslan, S. and Thompson, P. W. (eds.) Quantitative Reasoning in Mathematics and Science Education. Series: Mathematics education in the digital era (21). Springer: Cham, pp. 199-219. ISBN 9783031145520 (doi: 10.1007/978-3-031-14553-7_8)

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In this chapter, we provide a conceptual analysis of the concept of isometry (translation, rotations, reflections) as it pertains to quantitative reasoning (QR). We first define geometric transformations from a mathematical standpoint and then build on the relevant literature to explain our rationale for investigating isometries via focusing on the QR framework. We then detail how isometries can be conceptualized based on QR notions (e.g., multiplicative object, continuous covariational reasoning) and finally discuss curricular and instructional implications.

Item Type:Book Sections
Glasgow Author(s) Enlighten ID:Zembat, Dr Ismail Özgür
Authors: Karagöz Akar, G., Zembat, İ. Ö., Arslan, S., and Belin, M.
College/School:College of Social Sciences > School of Education > Pedagogy, Praxis & Faith
Published Online:02 January 2023
Copyright Holders:Copyright © 2022 The Authors
First Published:First published in Quantitative Reasoning in Mathematics and Science Education: 199-219
Publisher Policy:Reproduced in accordance with the publisher copyright policy
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