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oapen-20.500.12657-87644
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oapen-20.500.12657-876442024-03-28T14:03:16Z Understanding the Generality of Mathematical Statements Damrau, Milena Proof reading and construction Understanding mathematical statements Experimental study Generality Transition from school to university Types of arguments thema EDItEUR::P Mathematics and Science::PB Mathematics 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. 2024-02-13T16:12:00Z 2024-02-13T16:12:00Z 2023 book ONIX_20240213_9783658437633_23 9783658437633 9783658437626 https://library.oapen.org/handle/20.500.12657/87644 eng Bielefelder Schriften zur Didaktik der Mathematik application/pdf n/a 978-3-658-43763-3.pdf https://link.springer.com/978-3-658-43763-3 Springer Nature Springer Spektrum 10.1007/978-3-658-43763-3 10.1007/978-3-658-43763-3 6c6992af-b843-4f46-859c-f6e9998e40d5 3358520f-7ab2-42ab-80ef-88a2dbe6a901 9783658437633 9783658437626 Springer Spektrum 15 207 Wiesbaden [...] Deutsche Forschungsgemeinschaft German Research Association open access
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OAPEN
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DSpace
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English
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| description |
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.
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| title |
978-3-658-43763-3.pdf
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| spellingShingle |
978-3-658-43763-3.pdf
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| title_short |
978-3-658-43763-3.pdf
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| title_full |
978-3-658-43763-3.pdf
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| title_fullStr |
978-3-658-43763-3.pdf
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| title_full_unstemmed |
978-3-658-43763-3.pdf
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| title_sort |
978-3-658-43763-3.pdf
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| publisher |
Springer Nature
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| publishDate |
2024
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| url |
https://link.springer.com/978-3-658-43763-3
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1799945192779808768
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