Understanding the Generality of Mathematical Statements. An Experimental Study at the Transition from School to University
Damrau M (2023) Bielefelder Schriften zur Didaktik der Mathematik; 15.
Wiesbaden: Springer Fachmedien Wiesbaden.
Monographie
| Veröffentlicht | Englisch
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978-3-658-43763-3.pdf
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Abstract / Bemerkung
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.
Erscheinungsjahr
2023
Serientitel
Bielefelder Schriften zur Didaktik der Mathematik
Band
15
Seite(n)
207
Urheberrecht / Lizenzen
ISBN
978-3-658-43762-6
eISBN
978-3-658-43763-3
ISSN
2199-739X
eISSN
2199-7403
Finanzierungs-Informationen
Open-Access-Publikationskosten wurden durch die Universität Bielefeld gefördert.
Page URI
https://pub.uni-bielefeld.de/record/2986771
Zitieren
Damrau M. Understanding the Generality of Mathematical Statements. An Experimental Study at the Transition from School to University. Bielefelder Schriften zur Didaktik der Mathematik. Vol 15. Wiesbaden: Springer Fachmedien Wiesbaden; 2023.
Damrau, M. (2023). Understanding the Generality of Mathematical Statements. An Experimental Study at the Transition from School to University (Bielefelder Schriften zur Didaktik der Mathematik, 15). Wiesbaden: Springer Fachmedien Wiesbaden. https://doi.org/10.1007/978-3-658-43763-3
Damrau, Milena. 2023. Understanding the Generality of Mathematical Statements. An Experimental Study at the Transition from School to University. Vol. 15. Bielefelder Schriften zur Didaktik der Mathematik. Wiesbaden: Springer Fachmedien Wiesbaden.
Damrau, M. (2023). Understanding the Generality of Mathematical Statements. An Experimental Study at the Transition from School to University. Bielefelder Schriften zur Didaktik der Mathematik, 15, Wiesbaden: Springer Fachmedien Wiesbaden.
Damrau, M., 2023. Understanding the Generality of Mathematical Statements. An Experimental Study at the Transition from School to University, Bielefelder Schriften zur Didaktik der Mathematik, no.15, Wiesbaden: Springer Fachmedien Wiesbaden.
M. Damrau, Understanding the Generality of Mathematical Statements. An Experimental Study at the Transition from School to University, Bielefelder Schriften zur Didaktik der Mathematik, vol. 15, Wiesbaden: Springer Fachmedien Wiesbaden, 2023.
Damrau, M.: Understanding the Generality of Mathematical Statements. An Experimental Study at the Transition from School to University. Bielefelder Schriften zur Didaktik der Mathematik, 15. Springer Fachmedien Wiesbaden, Wiesbaden (2023).
Damrau, Milena. Understanding the Generality of Mathematical Statements. An Experimental Study at the Transition from School to University. Wiesbaden: Springer Fachmedien Wiesbaden, 2023. Bielefelder Schriften zur Didaktik der Mathematik. 15.
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2024-02-06T07:50:37Z
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