Overview
- This book is open access, which means that you have free and unlimited access
Part of the book series: Bielefelder Schriften zur Didaktik der Mathematik (BSDM, volume 15)
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Table of contents (8 chapters)
Keywords
About this book
In this open access book Milena Damrau investigates the understanding of generality of mathematical statements in first-year university students and its relation to other proof-related activities. Through an experimental study, she particularly analyses the effect of different types of arguments (empirical, generic, and ordinary proofs) and statements (familiar and unfamiliar, as well as true and false ones) on several proof-related activities. The results reveal students' struggles with the concept of generality, how their understanding of generality is related to proof reading and construction and how different types of arguments and statements impact students’ performance in other proof-related activities. The findings offer valuable insights for improving mathematics courses at the transition from school to university and highlight the need for more experimental studies in mathematics education.
Authors and Affiliations
About the author
Milena Damrau completed her Master’s degree in mathematics at the University of Vienna in 2016 and received her PhD in mathematics education from Bielefeld University in 2023. Her main research interests are proof and argumentation, the transition from school to university, e-learning in higher education, as well as mathematics and arts.
Bibliographic Information
Book Title: Understanding the Generality of Mathematical Statements
Book Subtitle: An Experimental Study at the Transition from School to University
Authors: Milena Damrau
Series Title: Bielefelder Schriften zur Didaktik der Mathematik
DOI: https://doi.org/10.1007/978-3-658-43763-3
Publisher: Springer Spektrum Wiesbaden
eBook Packages: Education and Social Work (German Language)
Copyright Information: The Editor(s) (if applicable) and The Author(s) 2023
Softcover ISBN: 978-3-658-43762-6Published: 03 February 2024
eBook ISBN: 978-3-658-43763-3Published: 02 February 2024
Series ISSN: 2199-739X
Series E-ISSN: 2199-7403
Edition Number: 1
Number of Pages: XXIV, 207
Number of Illustrations: 24 b/w illustrations, 25 illustrations in colour
Topics: Mathematics, general, Mathematics, general