书目名称 | Understanding the Generality of Mathematical Statements |
副标题 | An Experimental Stud |
编辑 | Milena Damrau |
视频video | |
概述 | This book is open access, which means that you have free and unlimited access |
丛书名称 | Bielefelder Schriften zur Didaktik der Mathematik |
图书封面 |  |
描述 | .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... |
出版日期 | Book‘‘‘‘‘‘‘‘ 2023 |
关键词 | Proof reading and construction; Understanding mathematical statements; Experimental study; Generality; T |
版次 | 1 |
doi | https://doi.org/10.1007/978-3-658-43763-3 |
isbn_softcover | 978-3-658-43762-6 |
isbn_ebook | 978-3-658-43763-3Series ISSN 2199-739X Series E-ISSN 2199-7403 |
issn_series | 2199-739X |
copyright | The Editor(s) (if applicable) and The Author(s) 2023 |