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)

Abstract

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
• Status: Published
• 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
• Publisher: Springer
• ISBN: 9783031145520
• 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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