Understanding the Generality of Mathematical Statements
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 (em...
Đã lưu trong:
| Tác giả chính: | |
|---|---|
| Định dạng: | Online |
| Ngôn ngữ: | Tiếng Anh |
| Được phát hành: |
Springer Nature
2024
|
| Những chủ đề: | |
| Truy cập trực tuyến: | ONIX_20240213_9783658437633_23 |
| Các nhãn: |
Không có thẻ, Là người đầu tiên thẻ bản ghi này!
|
| _version_ | 1869525045502541824 |
|---|---|
| author | Damrau, Milena |
| author_browse | Damrau, Milena |
| author_facet | Damrau, Milena |
| author_sort | Damrau, Milena |
| collection | Directory of Open Access Books |
| 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. |
| format | Online |
| id | doab-20.500.12854ir-134082 |
| institution | Directory of Open Access Books |
| language | eng |
| publishDate | 2024 |
| publishDateRange | 2024 |
| publishDateSort | 2024 |
| publisher | Springer Nature |
| publisherStr | Springer Nature |
| record_format | ojs |
| spelling | doab-20.500.12854ir-1340822025-07-17T10:00:37Z 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 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. 2024-02-14T04:01:19Z 2024-02-14T04:01:19Z 2024-02-13T16:12:00Z 2023 book ONIX_20240213_9783658437633_23 OCN: 1420682888 https://library.oapen.org/handle/20.500.12657/87644 9783658437633 9783658437626 https://directory.doabooks.org/handle/20.500.12854/134082 eng Bielefelder Schriften zur Didaktik der Mathematik open access image/jpeg image/jpeg image/jpeg image/jpeg n/a n/a n/a n/a https://library.oapen.org/bitstream/20.500.12657/87644/1/978-3-658-43763-3.pdf https://library.oapen.org/bitstream/20.500.12657/87644/1/978-3-658-43763-3.pdf https://library.oapen.org/bitstream/20.500.12657/87644/1/978-3-658-43763-3.pdf https://library.oapen.org/bitstream/20.500.12657/87644/1/978-3-658-43763-3.pdf Springer Nature Springer Spektrum 10.1007/978-3-658-43763-3 10.1007/978-3-658-43763-3 9fa3421d-f917-4153-b9ab-fc337c396b5a Deutsche Forschungsgemeinschaft 3358520f-7ab2-42ab-80ef-88a2dbe6a901 9783658437633 9783658437626 DFG - German Research Foundation Springer Spektrum 207 Wiesbaden [...] open access |
| spellingShingle | 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 thema EDItEUR::P Mathematics and Science::PB Mathematics Damrau, Milena Understanding the Generality of Mathematical Statements |
| title | Understanding the Generality of Mathematical Statements |
| title_full | Understanding the Generality of Mathematical Statements |
| title_fullStr | Understanding the Generality of Mathematical Statements |
| title_full_unstemmed | Understanding the Generality of Mathematical Statements |
| title_short | Understanding the Generality of Mathematical Statements |
| title_sort | understanding the generality of mathematical statements |
| topic | 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 thema EDItEUR::P Mathematics and Science::PB Mathematics |
| topic_facet | 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 thema EDItEUR::P Mathematics and Science::PB Mathematics |
| url | ONIX_20240213_9783658437633_23 |
| work_keys_str_mv | AT damraumilena understandingthegeneralityofmathematicalstatements |