[{"_id":"44331","user_id":"49063","department":[{"_id":"602"}],"language":[{"iso":"eng"}],"type":"journal_article","publication":"Proceedings of the London Mathematical Society","abstract":[{"lang":"eng","text":"In this paper, we study properties of the algebras of planar quasi-invariants. These algebras are Cohen–Macaulay and Gorenstein in codimension one. Using the technique of matrix problems, we classify all Cohen–Macaulay modules of rank one over them and determine their Picard groups. In terms of this classification, we describe the spectral modules of the planar rational Calogero–Moser systems. Finally, we elaborate the theory of the algebraic inverse scattering method, providing explicit computations of some ‘isospectral deformations’ of the planar rational Calogero–Moser system in the case of the split rational potential."}],"status":"public","date_updated":"2023-05-07T01:30:54Z","author":[{"last_name":"Burban","id":"72064","full_name":"Burban, Igor","first_name":"Igor"},{"first_name":"A.","full_name":"Zheglov, A.","last_name":"Zheglov"}],"date_created":"2023-05-02T18:47:19Z","volume":121,"title":"Cohen-Macaulay modules over the algebra of planar quasi-invariants and Calogero-Moser systems","doi":"10.1112/plms.12341","publication_status":"published","issue":"4","year":"2020","citation":{"ieee":"I. Burban and A. Zheglov, “Cohen-Macaulay modules over the algebra of planar quasi-invariants and Calogero-Moser systems,” <i>Proceedings of the London Mathematical Society</i>, vol. 121, no. 4, pp. 1033–1082, 2020, doi: <a href=\"https://doi.org/10.1112/plms.12341\">10.1112/plms.12341</a>.","chicago":"Burban, Igor, and A. Zheglov. “Cohen-Macaulay Modules over the Algebra of Planar Quasi-Invariants and Calogero-Moser Systems.” <i>Proceedings of the London Mathematical Society</i> 121, no. 4 (2020): 1033–1082. <a href=\"https://doi.org/10.1112/plms.12341\">https://doi.org/10.1112/plms.12341</a>.","ama":"Burban I, Zheglov A. Cohen-Macaulay modules over the algebra of planar quasi-invariants and Calogero-Moser systems. <i>Proceedings of the London Mathematical Society</i>. 2020;121(4):1033–1082. doi:<a href=\"https://doi.org/10.1112/plms.12341\">10.1112/plms.12341</a>","short":"I. Burban, A. Zheglov, Proceedings of the London Mathematical Society 121 (2020) 1033–1082.","mla":"Burban, Igor, and A. Zheglov. “Cohen-Macaulay Modules over the Algebra of Planar Quasi-Invariants and Calogero-Moser Systems.” <i>Proceedings of the London Mathematical Society</i>, vol. 121, no. 4, 2020, pp. 1033–1082, doi:<a href=\"https://doi.org/10.1112/plms.12341\">10.1112/plms.12341</a>.","bibtex":"@article{Burban_Zheglov_2020, title={Cohen-Macaulay modules over the algebra of planar quasi-invariants and Calogero-Moser systems}, volume={121}, DOI={<a href=\"https://doi.org/10.1112/plms.12341\">10.1112/plms.12341</a>}, number={4}, journal={Proceedings of the London Mathematical Society}, author={Burban, Igor and Zheglov, A.}, year={2020}, pages={1033–1082} }","apa":"Burban, I., &#38; Zheglov, A. (2020). Cohen-Macaulay modules over the algebra of planar quasi-invariants and Calogero-Moser systems. <i>Proceedings of the London Mathematical Society</i>, <i>121</i>(4), 1033–1082. <a href=\"https://doi.org/10.1112/plms.12341\">https://doi.org/10.1112/plms.12341</a>"},"page":"1033–1082","intvolume":"       121"},{"language":[{"iso":"ger"}],"_id":"45385","user_id":"21240","department":[{"_id":"98"}],"editor":[{"full_name":"Prediger, Susanne","last_name":"Prediger","first_name":"Susanne"}],"status":"public","type":"book_chapter","publication":"Sprachbildender Mathematikunterricht in der Sekundarstufe - ein forschungsbasiertes Praxisbuch ","title":"Lesen lernen von Aufgabentexten","date_updated":"2023-05-31T07:21:01Z","publisher":"Cornelsen","date_created":"2023-05-31T07:20:50Z","author":[{"full_name":"Dröse, Jennifer","id":"85820","last_name":"Dröse","first_name":"Jennifer"},{"first_name":"Susanne","full_name":"Prediger, Susanne","last_name":"Prediger"}],"place":"Berlin","year":"2020","citation":{"ieee":"J. Dröse and S. Prediger, “Lesen lernen von Aufgabentexten,” in <i>Sprachbildender Mathematikunterricht in der Sekundarstufe - ein forschungsbasiertes Praxisbuch </i>, S. Prediger, Ed. Berlin: Cornelsen, 2020, pp. 86–94.","chicago":"Dröse, Jennifer, and Susanne Prediger. “Lesen lernen von Aufgabentexten.” In <i>Sprachbildender Mathematikunterricht in der Sekundarstufe - ein forschungsbasiertes Praxisbuch </i>, edited by Susanne Prediger, 86–94. Berlin: Cornelsen, 2020.","ama":"Dröse J, Prediger S. Lesen lernen von Aufgabentexten. In: Prediger S, ed. <i>Sprachbildender Mathematikunterricht in der Sekundarstufe - ein forschungsbasiertes Praxisbuch </i>. Cornelsen; 2020:86-94.","bibtex":"@inbook{Dröse_Prediger_2020, place={Berlin}, title={Lesen lernen von Aufgabentexten}, booktitle={Sprachbildender Mathematikunterricht in der Sekundarstufe - ein forschungsbasiertes Praxisbuch }, publisher={Cornelsen}, author={Dröse, Jennifer and Prediger, Susanne}, editor={Prediger, Susanne}, year={2020}, pages={86–94} }","mla":"Dröse, Jennifer, and Susanne Prediger. “Lesen lernen von Aufgabentexten.” <i>Sprachbildender Mathematikunterricht in der Sekundarstufe - ein forschungsbasiertes Praxisbuch </i>, edited by Susanne Prediger, Cornelsen, 2020, pp. 86–94.","short":"J. Dröse, S. Prediger, in: S. Prediger (Ed.), Sprachbildender Mathematikunterricht in der Sekundarstufe - ein forschungsbasiertes Praxisbuch , Cornelsen, Berlin, 2020, pp. 86–94.","apa":"Dröse, J., &#38; Prediger, S. (2020). Lesen lernen von Aufgabentexten. In S. Prediger (Ed.), <i>Sprachbildender Mathematikunterricht in der Sekundarstufe - ein forschungsbasiertes Praxisbuch </i> (pp. 86–94). Cornelsen."},"page":"86-94"},{"publication":"Frühe alltagsintegrierte mathematische Bildung. Handreichung für Lehrende","type":"book_chapter","editor":[{"first_name":"E.","last_name":"Born-Rauchecker","full_name":"Born-Rauchecker, E."},{"last_name":"Vogtländer","full_name":"Vogtländer, A.","first_name":"A."},{"first_name":"K.","last_name":"Weber","full_name":"Weber, K."}],"status":"public","_id":"45688","department":[{"_id":"97"},{"_id":"611"}],"user_id":"49063","language":[{"iso":"ger"}],"publication_status":"published","year":"2020","place":"Hannover","page":"37-46","citation":{"short":"J. Bruns, A. Vogtländer, in: E. Born-Rauchecker, A. Vogtländer, K. Weber (Eds.), Frühe alltagsintegrierte mathematische Bildung. Handreichung für Lehrende, Kallmeyer, Hannover, 2020, pp. 37–46.","mla":"Bruns, Julia, and A. Vogtländer. “Frühe alltagsintegrierte mathematische Bildung. Eine Einleitung.” <i>Frühe alltagsintegrierte mathematische Bildung. Handreichung für Lehrende</i>, edited by E. Born-Rauchecker et al., Kallmeyer, 2020, pp. 37–46.","bibtex":"@inbook{Bruns_Vogtländer_2020, place={Hannover}, title={Frühe alltagsintegrierte mathematische Bildung. Eine Einleitung}, booktitle={Frühe alltagsintegrierte mathematische Bildung. Handreichung für Lehrende}, publisher={Kallmeyer}, author={Bruns, Julia and Vogtländer, A.}, editor={Born-Rauchecker, E. and Vogtländer, A. and Weber, K.}, year={2020}, pages={37–46} }","apa":"Bruns, J., &#38; Vogtländer, A. (2020). Frühe alltagsintegrierte mathematische Bildung. Eine Einleitung. In E. Born-Rauchecker, A. Vogtländer, &#38; K. Weber (Eds.), <i>Frühe alltagsintegrierte mathematische Bildung. Handreichung für Lehrende</i> (pp. 37–46). Kallmeyer.","chicago":"Bruns, Julia, and A. Vogtländer. “Frühe alltagsintegrierte mathematische Bildung. Eine Einleitung.” In <i>Frühe alltagsintegrierte mathematische Bildung. Handreichung für Lehrende</i>, edited by E. Born-Rauchecker, A. Vogtländer, and K. Weber, 37–46. Hannover: Kallmeyer, 2020.","ieee":"J. Bruns and A. Vogtländer, “Frühe alltagsintegrierte mathematische Bildung. Eine Einleitung,” in <i>Frühe alltagsintegrierte mathematische Bildung. Handreichung für Lehrende</i>, E. Born-Rauchecker, A. Vogtländer, and K. Weber, Eds. Hannover: Kallmeyer, 2020, pp. 37–46.","ama":"Bruns J, Vogtländer A. Frühe alltagsintegrierte mathematische Bildung. Eine Einleitung. In: Born-Rauchecker E, Vogtländer A, Weber K, eds. <i>Frühe alltagsintegrierte mathematische Bildung. Handreichung für Lehrende</i>. Kallmeyer; 2020:37-46."},"date_updated":"2023-06-20T18:48:58Z","publisher":"Kallmeyer","date_created":"2023-06-20T18:48:54Z","author":[{"orcid":"https://orcid.org/0000-0002-6604-5864","last_name":"Bruns","full_name":"Bruns, Julia","id":"72183","first_name":"Julia"},{"last_name":"Vogtländer","full_name":"Vogtländer, A.","first_name":"A."}],"title":"Frühe alltagsintegrierte mathematische Bildung. Eine Einleitung"},{"abstract":[{"text":"<jats:title>Zusammenfassung</jats:title><jats:p>Frühe mathematische Bildung findet in der Kindertagesstätte insbesondere in spontanen Alltagssituationen statt. Damit diese Alltagssituationen zu natürlichen Lernsituationen für die Kinder werden, müssen (angehende) frühpädagogische Fachkräfte zunächst das mathematische Potenzial in diesen Situationen erkennen. Diese Fähigkeit zur <jats:italic>situativen Beobachtung und Wahrnehmung </jats:italic>ist bisher unzureichend erforscht, was unter anderem auf begrenzte Methoden zur standardisierten Erfassung dieses Konstrukts zurückzuführen ist. Um diesem Bedarf zu begegnen, wurde das videobasierte Testinstrument <jats:italic>Vimas_num</jats:italic> zur Erfassung der Fähigkeit zur situativen Beobachtung und Wahrnehmung angehender frühpädagogischer Fachpersonen im Bereich Mengen und Zahlen entwickelt. Auf der Grundlage von drei aufeinander aufbauenden Studien wird die Validität verschiedener Aspekte der Testwertinterpretation untersucht. Die Ergebnisse geben Hinweise auf die Validität der Testwertinterpretation in Bezug auf den Testinhalt, die interne Struktur des Tests und die Zusammenhänge mit theoretisch verbundenen Konstrukten.</jats:p>","lang":"eng"}],"status":"public","type":"journal_article","publication":"Unterrichtswissenschaft","keyword":["Education"],"language":[{"iso":"ger"}],"_id":"34816","user_id":"49063","department":[{"_id":"611"},{"_id":"97"}],"year":"2020","citation":{"ieee":"J. Bruns, C. Strahl, and H. Gasteiger, “Situative Beobachtung und Wahrnehmung angehender frühpädagogischer Fachpersonen im Bereich Mathematik – Entwicklung und Validierung eines Testinstruments,” <i>Unterrichtswissenschaft</i>, vol. 49, no. 3, pp. 345–371, 2020, doi: <a href=\"https://doi.org/10.1007/s42010-020-00091-7\">10.1007/s42010-020-00091-7</a>.","chicago":"Bruns, Julia, Carolin Strahl, and Hedwig Gasteiger. “Situative Beobachtung und Wahrnehmung angehender frühpädagogischer Fachpersonen im Bereich Mathematik – Entwicklung und Validierung eines Testinstruments.” <i>Unterrichtswissenschaft</i> 49, no. 3 (2020): 345–71. <a href=\"https://doi.org/10.1007/s42010-020-00091-7\">https://doi.org/10.1007/s42010-020-00091-7</a>.","ama":"Bruns J, Strahl C, Gasteiger H. Situative Beobachtung und Wahrnehmung angehender frühpädagogischer Fachpersonen im Bereich Mathematik – Entwicklung und Validierung eines Testinstruments. <i>Unterrichtswissenschaft</i>. 2020;49(3):345-371. doi:<a href=\"https://doi.org/10.1007/s42010-020-00091-7\">10.1007/s42010-020-00091-7</a>","apa":"Bruns, J., Strahl, C., &#38; Gasteiger, H. (2020). Situative Beobachtung und Wahrnehmung angehender frühpädagogischer Fachpersonen im Bereich Mathematik – Entwicklung und Validierung eines Testinstruments. <i>Unterrichtswissenschaft</i>, <i>49</i>(3), 345–371. <a href=\"https://doi.org/10.1007/s42010-020-00091-7\">https://doi.org/10.1007/s42010-020-00091-7</a>","mla":"Bruns, Julia, et al. “Situative Beobachtung und Wahrnehmung angehender frühpädagogischer Fachpersonen im Bereich Mathematik – Entwicklung und Validierung eines Testinstruments.” <i>Unterrichtswissenschaft</i>, vol. 49, no. 3, Springer Science and Business Media LLC, 2020, pp. 345–71, doi:<a href=\"https://doi.org/10.1007/s42010-020-00091-7\">10.1007/s42010-020-00091-7</a>.","short":"J. Bruns, C. Strahl, H. Gasteiger, Unterrichtswissenschaft 49 (2020) 345–371.","bibtex":"@article{Bruns_Strahl_Gasteiger_2020, title={Situative Beobachtung und Wahrnehmung angehender frühpädagogischer Fachpersonen im Bereich Mathematik – Entwicklung und Validierung eines Testinstruments}, volume={49}, DOI={<a href=\"https://doi.org/10.1007/s42010-020-00091-7\">10.1007/s42010-020-00091-7</a>}, number={3}, journal={Unterrichtswissenschaft}, publisher={Springer Science and Business Media LLC}, author={Bruns, Julia and Strahl, Carolin and Gasteiger, Hedwig}, year={2020}, pages={345–371} }"},"page":"345-371","intvolume":"        49","publication_status":"published","quality_controlled":"1","publication_identifier":{"issn":["0340-4099","2520-873X"]},"issue":"3","title":"Situative Beobachtung und Wahrnehmung angehender frühpädagogischer Fachpersonen im Bereich Mathematik – Entwicklung und Validierung eines Testinstruments","doi":"10.1007/s42010-020-00091-7","publisher":"Springer Science and Business Media LLC","date_updated":"2023-06-20T19:04:46Z","date_created":"2022-12-22T09:18:04Z","author":[{"first_name":"Julia","id":"72183","full_name":"Bruns, Julia","orcid":"https://orcid.org/0000-0002-6604-5864","last_name":"Bruns"},{"full_name":"Strahl, Carolin","last_name":"Strahl","first_name":"Carolin"},{"full_name":"Gasteiger, Hedwig","last_name":"Gasteiger","first_name":"Hedwig"}],"volume":49},{"status":"public","editor":[{"last_name":"Siller","full_name":"Siller, Hans-Stefan","first_name":"Hans-Stefan"},{"full_name":"Weigel, Wolfgang","last_name":"Weigel","first_name":"Wolfgang"},{"last_name":"Wörler","full_name":"Wörler, Jan","first_name":"Jan"}],"publication":"Beiträge zum Mathematikunterricht 2020","type":"conference","language":[{"iso":"ger"}],"department":[{"_id":"611"},{"_id":"97"}],"user_id":"49063","_id":"36546","page":"1253-1256","citation":{"apa":"Meyer, L., Tabeling, L., Gasteiger, H., &#38; Bruns, J. (2020). Interaktionen in mathematischen Spielsituationen in Kindertagesstätte und Familie. In H.-S. Siller, W. Weigel, &#38; J. Wörler (Eds.), <i>Beiträge zum Mathematikunterricht 2020</i> (pp. 1253–1256). WTM-Verlag.","bibtex":"@inproceedings{Meyer_Tabeling_Gasteiger_Bruns_2020, place={Münster}, title={Interaktionen in mathematischen Spielsituationen in Kindertagesstätte und Familie}, booktitle={Beiträge zum Mathematikunterricht 2020}, publisher={WTM-Verlag}, author={Meyer, Lena and Tabeling, Laura and Gasteiger, Hedwig and Bruns, Julia}, editor={Siller, Hans-Stefan and Weigel, Wolfgang and Wörler, Jan}, year={2020}, pages={1253–1256} }","short":"L. Meyer, L. Tabeling, H. Gasteiger, J. Bruns, in: H.-S. Siller, W. Weigel, J. Wörler (Eds.), Beiträge zum Mathematikunterricht 2020, WTM-Verlag, Münster, 2020, pp. 1253–1256.","mla":"Meyer, Lena, et al. “Interaktionen in mathematischen Spielsituationen in Kindertagesstätte und Familie.” <i>Beiträge zum Mathematikunterricht 2020</i>, edited by Hans-Stefan Siller et al., WTM-Verlag, 2020, pp. 1253–56.","chicago":"Meyer, Lena, Laura Tabeling, Hedwig Gasteiger, and Julia Bruns. “Interaktionen in mathematischen Spielsituationen in Kindertagesstätte und Familie.” In <i>Beiträge zum Mathematikunterricht 2020</i>, edited by Hans-Stefan Siller, Wolfgang Weigel, and Jan Wörler, 1253–56. Münster: WTM-Verlag, 2020.","ieee":"L. Meyer, L. Tabeling, H. Gasteiger, and J. Bruns, “Interaktionen in mathematischen Spielsituationen in Kindertagesstätte und Familie,” in <i>Beiträge zum Mathematikunterricht 2020</i>, Würzburg, 2020, pp. 1253–1256.","ama":"Meyer L, Tabeling L, Gasteiger H, Bruns J. Interaktionen in mathematischen Spielsituationen in Kindertagesstätte und Familie. In: Siller H-S, Weigel W, Wörler J, eds. <i>Beiträge zum Mathematikunterricht 2020</i>. WTM-Verlag; 2020:1253-1256."},"year":"2020","place":"Münster","related_material":{"link":[{"url":"https://eldorado.tu-dortmund.de/bitstream/2003/39567/1/BzMu2020_MEYER-id135.pdf","relation":"confirmation"}]},"publication_status":"published","conference":{"location":"Würzburg","name":"54. Jahrestagung der Gesellschaft für Didaktik der Mathematik"},"main_file_link":[{"open_access":"1"}],"title":"Interaktionen in mathematischen Spielsituationen in Kindertagesstätte und Familie","date_created":"2023-01-13T09:26:42Z","author":[{"full_name":"Meyer, Lena","last_name":"Meyer","first_name":"Lena"},{"last_name":"Tabeling","full_name":"Tabeling, Laura","first_name":"Laura"},{"full_name":"Gasteiger, Hedwig","last_name":"Gasteiger","first_name":"Hedwig"},{"first_name":"Julia","full_name":"Bruns, Julia","id":"72183","orcid":"https://orcid.org/0000-0002-6604-5864","last_name":"Bruns"}],"date_updated":"2023-06-20T19:06:16Z","publisher":"WTM-Verlag","oa":"1"},{"language":[{"iso":"ger"}],"abstract":[{"lang":"eng","text":"<jats:title>Zusammenfassung</jats:title><jats:p>Die Implementation früher mathematischer Bildung in Kindertagesstätten kann durch fachdidaktische Fortbildungen für frühpädagogische Fachkräfte unterstützt werden. Um Fachkräfte in der Breite zu erreichen, erscheint ein scaling up Ansatz geeignet, bei dem aufbauend auf das Fortbildungskonzept <jats:italic>EmMa – Erzieherinnen und Erzieher machen Mathematik </jats:italic>Multiplikatorinnen und Multiplikatoren qualifiziert werden. Dabei ergibt sich die Herausforderung, dass Fortbildende im Elementarbereich kaum mathematisches und mathematikdidaktisches Wissen mitbringen. Der Kontext dieser Studie ist der scaling up Prozess der Fortbildung <jats:italic>EmMa</jats:italic> unter diesen Umständen. Das Erkenntnisinteresse liegt in der Beschreibung und Bewertung der Adaptionshandlungen der Multiplikatorinnen und Multiplikatoren. Für die Bewertung der Adaptionen werden zwei Kriterien herangezogen: (1) das Kriterium der Präzision, das die Vollständigkeit und Klarheit der Inhalte umfasst und (2) das Kriterium der fachlichen Korrektheit, das durch das Ausbleiben fachbezogener Fehler beschrieben wird. Analysiert werden dabei die theoretischen, fachbezogenen Phasen der von Multiplikatorinnen und Multiplikatoren durchgeführten Fortbildung zur frühen mathematischen Bildung, da davon ausgegangen wird, dass insbesondere diese theoretischen Inhalte für diese Gruppe von Multiplikatorinnen und Multiplikatoren eine Herausforderung darstellen. Zur Untersuchung wurde eine videogestützte, qualitative Feldstudie mit <jats:italic>N</jats:italic> = 8 Fällen durchgeführt. Mit Hilfe der qualitativen Inhaltsanalyse wurden die Adaptionshandlungen der Multiplikatorinnen und Multiplikatoren charakterisiert und hinsichtlich ihrer Präzision und der fachlichen Fehler in diesen Adaptionen analysiert. Dabei zeigte sich, dass der eigenständige Umgang mit den mathematischen und mathematikdidaktischen Inhalten des Fortbildungskonzepts <jats:italic>EmMa </jats:italic>trotz intensiver Unterstützung anspruchsvoll und bei vielen Multiplikatorinnen und Multiplikatoren mit fachbezogenen Fehlern verbunden ist. Implikationen dieser Ergebnisse für die weitere Forschung werden diskutiert.</jats:p>"}],"publication":"Journal für Mathematik-Didaktik","title":"Adaptionshandlungen von Multiplikatorinnen und Multiplikatoren zur frühen mathematischen Bildung – Beschreibung und Bewertung aus fachbezogener Perspektive","date_created":"2021-03-17T15:19:29Z","year":"2020","issue":"1","quality_controlled":"1","department":[{"_id":"97"},{"_id":"611"}],"user_id":"49063","_id":"21529","status":"public","type":"journal_article","doi":"10.1007/s13138-020-00175-y","volume":42,"author":[{"first_name":"Julia","id":"72183","full_name":"Bruns, Julia","last_name":"Bruns","orcid":"https://orcid.org/0000-0002-6604-5864"},{"first_name":"Theresa","full_name":"Schopferer, Theresa","last_name":"Schopferer"},{"first_name":"Hedwig","full_name":"Gasteiger, Hedwig","last_name":"Gasteiger"}],"date_updated":"2023-06-20T19:12:42Z","page":"243-271","intvolume":"        42","citation":{"ieee":"J. Bruns, T. Schopferer, and H. Gasteiger, “Adaptionshandlungen von Multiplikatorinnen und Multiplikatoren zur frühen mathematischen Bildung – Beschreibung und Bewertung aus fachbezogener Perspektive,” <i>Journal für Mathematik-Didaktik</i>, vol. 42, no. 1, pp. 243–271, 2020, doi: <a href=\"https://doi.org/10.1007/s13138-020-00175-y\">10.1007/s13138-020-00175-y</a>.","chicago":"Bruns, Julia, Theresa Schopferer, and Hedwig Gasteiger. “Adaptionshandlungen von Multiplikatorinnen und Multiplikatoren zur frühen mathematischen Bildung – Beschreibung und Bewertung aus fachbezogener Perspektive.” <i>Journal für Mathematik-Didaktik</i> 42, no. 1 (2020): 243–71. <a href=\"https://doi.org/10.1007/s13138-020-00175-y\">https://doi.org/10.1007/s13138-020-00175-y</a>.","ama":"Bruns J, Schopferer T, Gasteiger H. Adaptionshandlungen von Multiplikatorinnen und Multiplikatoren zur frühen mathematischen Bildung – Beschreibung und Bewertung aus fachbezogener Perspektive. <i>Journal für Mathematik-Didaktik</i>. 2020;42(1):243-271. doi:<a href=\"https://doi.org/10.1007/s13138-020-00175-y\">10.1007/s13138-020-00175-y</a>","short":"J. Bruns, T. Schopferer, H. Gasteiger, Journal für Mathematik-Didaktik 42 (2020) 243–271.","bibtex":"@article{Bruns_Schopferer_Gasteiger_2020, title={Adaptionshandlungen von Multiplikatorinnen und Multiplikatoren zur frühen mathematischen Bildung – Beschreibung und Bewertung aus fachbezogener Perspektive}, volume={42}, DOI={<a href=\"https://doi.org/10.1007/s13138-020-00175-y\">10.1007/s13138-020-00175-y</a>}, number={1}, journal={Journal für Mathematik-Didaktik}, author={Bruns, Julia and Schopferer, Theresa and Gasteiger, Hedwig}, year={2020}, pages={243–271} }","mla":"Bruns, Julia, et al. “Adaptionshandlungen von Multiplikatorinnen und Multiplikatoren zur frühen mathematischen Bildung – Beschreibung und Bewertung aus fachbezogener Perspektive.” <i>Journal für Mathematik-Didaktik</i>, vol. 42, no. 1, 2020, pp. 243–71, doi:<a href=\"https://doi.org/10.1007/s13138-020-00175-y\">10.1007/s13138-020-00175-y</a>.","apa":"Bruns, J., Schopferer, T., &#38; Gasteiger, H. (2020). 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Global generalized solutions to a forager–exploiter model with superlinear degradation and their eventual regularity properties. <i>Mathematical Models and Methods in Applied Sciences</i>, <i>30</i>(06), 1075–1117. <a href=\"https://doi.org/10.1142/s0218202520400072\">https://doi.org/10.1142/s0218202520400072</a>","chicago":"Black, Tobias. “Global Generalized Solutions to a Forager–Exploiter Model with Superlinear Degradation and Their Eventual Regularity Properties.” <i>Mathematical Models and Methods in Applied Sciences</i> 30, no. 06 (2020): 1075–1117. <a href=\"https://doi.org/10.1142/s0218202520400072\">https://doi.org/10.1142/s0218202520400072</a>.","ieee":"T. 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We start with an initial approximation of the\r\nrelative global attractor for a fixed parameter λ0 computed by a set-oriented subdivision method.\r\nBy using previously obtained approximations of the parameter-dependent relative global attractor\r\nwe can track it with respect to a one-dimensional parameter λ > λ0 without restarting the whole\r\nsubdivision procedure. We illustrate the feasibility of the set-oriented path following method by\r\nexploring the dynamics in low-dimensional models for shear flows during the transition to turbulence\r\nand of large-scale atmospheric regime changes .\r\n","lang":"eng"}],"status":"public","_id":"16710","department":[{"_id":"101"}],"user_id":"32655","language":[{"iso":"eng"}],"publication_identifier":{"issn":["1536-0040"]},"publication_status":"published","year":"2020","page":"705-723","citation":{"apa":"Gerlach, R., Ziessler, A., Eckhardt, B., &#38; Dellnitz, M. (2020). A Set-Oriented Path Following Method for the Approximation of Parameter Dependent Attractors. <i>SIAM Journal on Applied Dynamical Systems</i>, 705–723. <a href=\"https://doi.org/10.1137/19m1247139\">https://doi.org/10.1137/19m1247139</a>","bibtex":"@article{Gerlach_Ziessler_Eckhardt_Dellnitz_2020, title={A Set-Oriented Path Following Method for the Approximation of Parameter Dependent Attractors}, DOI={<a href=\"https://doi.org/10.1137/19m1247139\">10.1137/19m1247139</a>}, journal={SIAM Journal on Applied Dynamical Systems}, author={Gerlach, Raphael and Ziessler, Adrian and Eckhardt, Bruno and Dellnitz, Michael}, year={2020}, pages={705–723} }","short":"R. Gerlach, A. Ziessler, B. Eckhardt, M. 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Lankeit, R. Biehler, in: T. Hausberger, M. Bosch, F. Chelloughi (Eds.), Proceedings of the Third Conference of the International Network for Didactic Research in University Mathematics (INDRUM 2020, 12-19 September 2020), University of Carthage and INDRUM, Bizerte, Tunisia, 2020.","mla":"Lankeit, Elisa, and Rolf Biehler. “‘I Only Know the Absolute Value Function’–About Students’ Concept Images and Example Spaces Concerning Continuity and Differentiability.” <i>Proceedings of the Third Conference of the International Network for Didactic Research in University Mathematics (INDRUM 2020, 12-19 September 2020)</i>, edited by T. Hausberger et al., University of Carthage and INDRUM, 2020.","bibtex":"@inbook{Lankeit_Biehler_2020, place={Bizerte, Tunisia}, title={“I only know the absolute value function”–About students’ concept images and example spaces concerning continuity and differentiability}, booktitle={Proceedings of the Third Conference of the International Network for Didactic Research in University Mathematics (INDRUM 2020, 12-19 September 2020)}, publisher={University of Carthage and INDRUM}, author={Lankeit, Elisa and Biehler, Rolf}, editor={Hausberger, T. and Bosch, M. and Chelloughi, F.}, year={2020} }","apa":"Lankeit, E., &#38; Biehler, R. (2020). “I only know the absolute value function”–About students’ concept images and example spaces concerning continuity and differentiability. In T. Hausberger, M. Bosch, &#38; F. Chelloughi (Eds.), <i>Proceedings of the Third Conference of the International Network for Didactic Research in University Mathematics (INDRUM 2020, 12-19 September 2020)</i>. University of Carthage and INDRUM.","ieee":"E. Lankeit and R. Biehler, “‘I only know the absolute value function’–About students’ concept images and example spaces concerning continuity and differentiability,” in <i>Proceedings of the Third Conference of the International Network for Didactic Research in University Mathematics (INDRUM 2020, 12-19 September 2020)</i>, T. Hausberger, M. Bosch, and F. Chelloughi, Eds. Bizerte, Tunisia: University of Carthage and INDRUM, 2020.","chicago":"Lankeit, Elisa, and Rolf Biehler. “‘I Only Know the Absolute Value Function’–About Students’ Concept Images and Example Spaces Concerning Continuity and Differentiability.” In <i>Proceedings of the Third Conference of the International Network for Didactic Research in University Mathematics (INDRUM 2020, 12-19 September 2020)</i>, edited by T. Hausberger, M. Bosch, and F. Chelloughi. Bizerte, Tunisia: University of Carthage and INDRUM, 2020.","ama":"Lankeit E, Biehler R. “I only know the absolute value function”–About students’ concept images and example spaces concerning continuity and differentiability. In: Hausberger T, Bosch M, Chelloughi F, eds. <i>Proceedings of the Third Conference of the International Network for Didactic Research in University Mathematics (INDRUM 2020, 12-19 September 2020)</i>. University of Carthage and INDRUM; 2020."},"has_accepted_license":"1","title":"“I only know the absolute value function”–About students’ concept images and example spaces concerning continuity and differentiability","date_updated":"2024-11-12T11:02:47Z","publisher":"University of Carthage and INDRUM","date_created":"2023-01-11T07:46:36Z","author":[{"last_name":"Lankeit","full_name":"Lankeit, Elisa","first_name":"Elisa"},{"full_name":"Biehler, Rolf","id":"16274","last_name":"Biehler","first_name":"Rolf"}],"editor":[{"first_name":"T.","last_name":"Hausberger","full_name":"Hausberger, T."},{"full_name":"Bosch, M.","last_name":"Bosch","first_name":"M."},{"full_name":"Chelloughi, F.","last_name":"Chelloughi","first_name":"F."}],"file":[{"relation":"main_file","success":1,"content_type":"application/pdf","access_level":"closed","file_name":"Lankeit_INDRUM2020_133-142.pdf","file_id":"56998","file_size":1087391,"date_created":"2024-11-12T11:02:33Z","creator":"krueter","date_updated":"2024-11-12T11:02:33Z"}],"status":"public","type":"book_chapter","publication":"Proceedings of the Third Conference of the International Network for Didactic Research in University Mathematics (INDRUM 2020, 12-19 September 2020)","ddc":["510"],"file_date_updated":"2024-11-12T11:02:33Z","language":[{"iso":"eng"}],"_id":"35912","user_id":"37888","department":[{"_id":"363"}]}]