Details
| Original language | English |
|---|---|
| Title of host publication | INDRUM 2022 PROCEEDINGS: Fourth conference of the International Network for Didactic Research in University Mathematics |
| Editors | María Trigueros, Berta Barquero, Reinhard Hochmuth, Jana Peters |
| Pages | 164-173 |
| Publication status | Published - 2022 |
| Event | Fourth conference of the International Network for Didactic Research in University Mathematics - Hannover, Germany Duration: 19 Oct 2022 → 22 Oct 2022 Conference number: 4 |
Publication series
| Name | International network for didactic research in university mathematics |
|---|---|
| ISSN (Print) | 2496-1027 |
Abstract
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INDRUM 2022 PROCEEDINGS: Fourth conference of the International Network for Didactic Research in University Mathematics. ed. / María Trigueros; Berta Barquero; Reinhard Hochmuth; Jana Peters. 2022. p. 164-173 (International network for didactic research in university mathematics).
Research output: Chapter in book/report/conference proceeding › Conference contribution › Research
}
TY - GEN
T1 - Vertical coherence in the teaching of integrals? An example from complex analysis
AU - Hanke, Erik
N1 - Conference code: 4
PY - 2022
Y1 - 2022
N2 - Students encounter integrals in a wide range of mathematical domains, often in relation to the ideas of measuring and mean values. Using the integral as an example, this paper discusses one aspect of the teaching and learning of advanced mathematics, namely, the use of core ideas of mathematical concepts to establish vertical coherence between mathematical domains in teaching. It will be explained to what extent the ideas of measuring and mean values can be used for complex path integrals. Then, the epistemological considerations in this paper are enhanced with a case from an expert interview. This case exemplifies the application of the two aforementioned ideas to complex path integrals, but it also points to a potential overgeneralisation from real to complex analysis.
AB - Students encounter integrals in a wide range of mathematical domains, often in relation to the ideas of measuring and mean values. Using the integral as an example, this paper discusses one aspect of the teaching and learning of advanced mathematics, namely, the use of core ideas of mathematical concepts to establish vertical coherence between mathematical domains in teaching. It will be explained to what extent the ideas of measuring and mean values can be used for complex path integrals. Then, the epistemological considerations in this paper are enhanced with a case from an expert interview. This case exemplifies the application of the two aforementioned ideas to complex path integrals, but it also points to a potential overgeneralisation from real to complex analysis.
UR - https://indrum2022.sciencesconf.org/data/Proceedings_Indrum2022.pdf
M3 - Conference contribution
T3 - International network for didactic research in university mathematics
SP - 164
EP - 173
BT - INDRUM 2022 PROCEEDINGS: Fourth conference of the International Network for Didactic Research in University Mathematics
A2 - Trigueros, María
A2 - Barquero, Berta
A2 - Hochmuth, Reinhard
A2 - Peters, Jana
T2 - Fourth conference of the International Network for Didactic Research in University Mathematics
Y2 - 19 October 2022 through 22 October 2022
ER -