[{"abstract":[{"text":"<jats:title>Abstract</jats:title><jats:p>External visualization (i.e., physically embodied visualization) is central to the teaching and learning of mathematics. As external visualization is an important part of mathematics at all levels of education, it is diverse, and research on external visualization has become a wide and complex field. The aim of this scoping review is to characterize external visualizations in recent mathematics education research in order to develop a common ground and guide future research. A qualitative content analysis of the full texts of 130 studies published between 2018 and 2022 applied a deductive-inductive coding procedure to assess four dimensions: visualization product or process, type of visualization, media, and purpose. The analysis revealed different types of external visualizations including visualizations with physical resemblance ranging from pictorial to abstract visualizations as well as three types of visualizations with structural resemblance: length, area, and relational visualizations. Future research should include measures of visualization products or processes to help explain the demands and affordances that different types of visualizations present to learners and teachers.</jats:p>","lang":"eng"}],"publication":"ZDM – Mathematics Education","citation":{"apa":"Schoenherr, J., &#38; Schukajlow, S. (2023). Characterizing external visualization in mathematics education research: a scoping review. <i>ZDM – Mathematics Education</i>. <a href=\"https://doi.org/10.1007/s11858-023-01494-3\">https://doi.org/10.1007/s11858-023-01494-3</a>","ieee":"J. Schoenherr and S. Schukajlow, “Characterizing external visualization in mathematics education research: a scoping review,” <i>ZDM – Mathematics Education</i>, 2023, doi: <a href=\"https://doi.org/10.1007/s11858-023-01494-3\">10.1007/s11858-023-01494-3</a>.","chicago":"Schoenherr, Johanna, and Stanislaw Schukajlow. “Characterizing External Visualization in Mathematics Education Research: A Scoping Review.” <i>ZDM – Mathematics Education</i>, 2023. <a href=\"https://doi.org/10.1007/s11858-023-01494-3\">https://doi.org/10.1007/s11858-023-01494-3</a>.","short":"J. Schoenherr, S. Schukajlow, ZDM – Mathematics Education (2023).","mla":"Schoenherr, Johanna, and Stanislaw Schukajlow. “Characterizing External Visualization in Mathematics Education Research: A Scoping Review.” <i>ZDM – Mathematics Education</i>, Springer Science and Business Media LLC, 2023, doi:<a href=\"https://doi.org/10.1007/s11858-023-01494-3\">10.1007/s11858-023-01494-3</a>.","ama":"Schoenherr J, Schukajlow S. Characterizing external visualization in mathematics education research: a scoping review. <i>ZDM – Mathematics Education</i>. Published online 2023. doi:<a href=\"https://doi.org/10.1007/s11858-023-01494-3\">10.1007/s11858-023-01494-3</a>","bibtex":"@article{Schoenherr_Schukajlow_2023, title={Characterizing external visualization in mathematics education research: a scoping review}, DOI={<a href=\"https://doi.org/10.1007/s11858-023-01494-3\">10.1007/s11858-023-01494-3</a>}, journal={ZDM – Mathematics Education}, publisher={Springer Science and Business Media LLC}, author={Schoenherr, Johanna and Schukajlow, Stanislaw}, year={2023} }"},"type":"journal_article","keyword":["General Mathematics","Education"],"department":[{"_id":"913"}],"date_created":"2023-08-17T10:11:45Z","publication_status":"published","date_updated":"2024-04-30T13:43:22Z","year":"2023","status":"public","title":"Characterizing external visualization in mathematics education research: a scoping review","publication_identifier":{"issn":["1863-9690","1863-9704"]},"author":[{"first_name":"Johanna","last_name":"Schoenherr","full_name":"Schoenherr, Johanna"},{"full_name":"Schukajlow, Stanislaw","first_name":"Stanislaw","last_name":"Schukajlow"}],"user_id":"99409","doi":"10.1007/s11858-023-01494-3","_id":"46569","publisher":"Springer Science and Business Media LLC","language":[{"iso":"eng"}]},{"place":"Paderborn","oa":"1","file_date_updated":"2023-07-07T11:18:59Z","citation":{"mla":"Wehrheim, Heike, et al. “Verifying Software and Reconfigurable Hardware Services.” <i>On-The-Fly Computing -- Individualized IT-Services in Dynamic Markets</i>, edited by Claus-Jochen Haake et al., vol. 412, Heinz Nixdorf Institut, Universität Paderborn, 2023, pp. 125–44, doi:<a href=\"https://doi.org/10.5281/zenodo.8068583\">10.5281/zenodo.8068583</a>.","bibtex":"@inbook{Wehrheim_Platzner_Bodden_Schubert_Pauck_Jakobs_2023, place={Paderborn}, series={Verlagsschriftenreihe des Heinz Nixdorf Instituts}, title={Verifying Software and Reconfigurable Hardware Services}, volume={412}, DOI={<a href=\"https://doi.org/10.5281/zenodo.8068583\">10.5281/zenodo.8068583</a>}, booktitle={On-The-Fly Computing -- Individualized IT-services in dynamic markets}, publisher={Heinz Nixdorf Institut, Universität Paderborn}, author={Wehrheim, Heike and Platzner, Marco and Bodden, Eric and Schubert, Philipp  and Pauck, Felix and Jakobs, Marie-Christine}, editor={Haake, Claus-Jochen and Meyer auf der Heide, Friedhelm and Platzner, Marco and Wachsmuth, Henning and Wehrheim, Heike}, year={2023}, pages={125–144}, collection={Verlagsschriftenreihe des Heinz Nixdorf Instituts} }","ama":"Wehrheim H, Platzner M, Bodden E, Schubert P, Pauck F, Jakobs M-C. Verifying Software and Reconfigurable Hardware Services. In: Haake C-J, Meyer auf der Heide F, Platzner M, Wachsmuth H, Wehrheim H, eds. <i>On-The-Fly Computing -- Individualized IT-Services in Dynamic Markets</i>. Vol 412. Verlagsschriftenreihe des Heinz Nixdorf Instituts. Heinz Nixdorf Institut, Universität Paderborn; 2023:125-144. doi:<a href=\"https://doi.org/10.5281/zenodo.8068583\">10.5281/zenodo.8068583</a>","ieee":"H. Wehrheim, M. Platzner, E. Bodden, P. Schubert, F. Pauck, and M.-C. Jakobs, “Verifying Software and Reconfigurable Hardware Services,” in <i>On-The-Fly Computing -- Individualized IT-services in dynamic markets</i>, vol. 412, C.-J. Haake, F. Meyer auf der Heide, M. Platzner, H. Wachsmuth, and H. Wehrheim, Eds. Paderborn: Heinz Nixdorf Institut, Universität Paderborn, 2023, pp. 125–144.","apa":"Wehrheim, H., Platzner, M., Bodden, E., Schubert, P., Pauck, F., &#38; Jakobs, M.-C. (2023). Verifying Software and Reconfigurable Hardware Services. In C.-J. Haake, F. Meyer auf der Heide, M. Platzner, H. Wachsmuth, &#38; H. Wehrheim (Eds.), <i>On-The-Fly Computing -- Individualized IT-services in dynamic markets</i> (Vol. 412, pp. 125–144). Heinz Nixdorf Institut, Universität Paderborn. <a href=\"https://doi.org/10.5281/zenodo.8068583\">https://doi.org/10.5281/zenodo.8068583</a>","chicago":"Wehrheim, Heike, Marco Platzner, Eric Bodden, Philipp  Schubert, Felix Pauck, and Marie-Christine Jakobs. “Verifying Software and Reconfigurable Hardware Services.” In <i>On-The-Fly Computing -- Individualized IT-Services in Dynamic Markets</i>, edited by Claus-Jochen Haake, Friedhelm Meyer auf der Heide, Marco Platzner, Henning Wachsmuth, and Heike Wehrheim, 412:125–44. Verlagsschriftenreihe Des Heinz Nixdorf Instituts. Paderborn: Heinz Nixdorf Institut, Universität Paderborn, 2023. <a href=\"https://doi.org/10.5281/zenodo.8068583\">https://doi.org/10.5281/zenodo.8068583</a>.","short":"H. Wehrheim, M. Platzner, E. Bodden, P. Schubert, F. Pauck, M.-C. Jakobs, in: C.-J. Haake, F. Meyer auf der Heide, M. Platzner, H. Wachsmuth, H. Wehrheim (Eds.), On-The-Fly Computing -- Individualized IT-Services in Dynamic Markets, Heinz Nixdorf Institut, Universität Paderborn, Paderborn, 2023, pp. 125–144."},"project":[{"_id":"1","grant_number":"160364472","name":"SFB 901: SFB 901: On-The-Fly Computing - Individualisierte IT-Dienstleistungen in dynamischen Märkten "},{"name":"SFB 901 - B: SFB 901 - Project Area B","_id":"3"},{"name":"SFB 901 - B4: SFB 901 - Subproject B4","_id":"12"}],"page":"125-144","_id":"45888","publisher":"Heinz Nixdorf Institut, Universität Paderborn","user_id":"398","ddc":["004"],"volume":412,"editor":[{"last_name":"Haake","first_name":"Claus-Jochen","full_name":"Haake, Claus-Jochen"},{"full_name":"Meyer auf der Heide, Friedhelm","first_name":"Friedhelm","last_name":"Meyer auf der Heide"},{"full_name":"Platzner, Marco","last_name":"Platzner","first_name":"Marco"},{"full_name":"Wachsmuth, Henning","last_name":"Wachsmuth","first_name":"Henning"},{"full_name":"Wehrheim, Heike","first_name":"Heike","last_name":"Wehrheim"}],"status":"public","has_accepted_license":"1","file":[{"date_created":"2023-07-07T08:01:12Z","creator":"florida","file_id":"45889","content_type":"application/pdf","relation":"main_file","date_updated":"2023-07-07T11:18:59Z","file_name":"B4-Chapter-SFB-Buch-Final.pdf","file_size":840964,"access_level":"open_access"}],"date_created":"2023-07-07T08:01:23Z","type":"book_chapter","department":[{"_id":"7"},{"_id":"78"}],"publication":"On-The-Fly Computing -- Individualized IT-services in dynamic markets","series_title":"Verlagsschriftenreihe des Heinz Nixdorf Instituts","language":[{"iso":"eng"}],"doi":"10.5281/zenodo.8068583","title":"Verifying Software and Reconfigurable Hardware Services","year":"2023","author":[{"id":"573","last_name":"Wehrheim","first_name":"Heike","full_name":"Wehrheim, Heike"},{"full_name":"Platzner, Marco","first_name":"Marco","last_name":"Platzner","id":"398"},{"full_name":"Bodden, Eric","last_name":"Bodden","first_name":"Eric","orcid":"0000-0003-3470-3647","id":"59256"},{"full_name":"Schubert, Philipp ","last_name":"Schubert","first_name":"Philipp "},{"id":"22398","last_name":"Pauck","first_name":"Felix","full_name":"Pauck, Felix"},{"last_name":"Jakobs","first_name":"Marie-Christine","full_name":"Jakobs, Marie-Christine"}],"date_updated":"2024-05-02T10:29:31Z","intvolume":"       412"},{"date_created":"2023-07-07T08:15:45Z","file":[{"date_created":"2023-07-07T08:15:35Z","creator":"florida","content_type":"application/pdf","file_id":"45894","date_updated":"2023-07-07T11:17:33Z","relation":"main_file","access_level":"open_access","file_size":2288788,"file_name":"C2-Chapter-SFB-Buch-Final.pdf"}],"department":[{"_id":"7"},{"_id":"27"},{"_id":"518"},{"_id":"78"}],"type":"book_chapter","publication":"On-The-Fly Computing -- Individualized IT-services in dynamic markets","series_title":"Verlagsschriftenreihe des Heinz Nixdorf Instituts","language":[{"iso":"eng"}],"doi":"10.5281/zenodo.8068642","author":[{"id":"49992","last_name":"Hansmeier","first_name":"Tim","orcid":"0000-0003-1377-3339","full_name":"Hansmeier, Tim"},{"full_name":"Kenter, Tobias","first_name":"Tobias","last_name":"Kenter","id":"3145"},{"last_name":"Meyer","first_name":"Marius","full_name":"Meyer, Marius","id":"40778"},{"id":"8961","last_name":"Riebler","first_name":"Heinrich","full_name":"Riebler, Heinrich"},{"id":"398","full_name":"Platzner, Marco","first_name":"Marco","last_name":"Platzner"},{"id":"16153","full_name":"Plessl, Christian","first_name":"Christian","last_name":"Plessl","orcid":"0000-0001-5728-9982"}],"year":"2023","title":"Compute Centers I: Heterogeneous Execution Environments","intvolume":"       412","date_updated":"2024-05-02T10:33:00Z","place":"Paderborn","oa":"1","citation":{"apa":"Hansmeier, T., Kenter, T., Meyer, M., Riebler, H., Platzner, M., &#38; Plessl, C. (2023). Compute Centers I: Heterogeneous Execution Environments. In C.-J. Haake, F. Meyer auf der Heide, M. Platzner, H. Wachsmuth, &#38; H. Wehrheim (Eds.), <i>On-The-Fly Computing -- Individualized IT-services in dynamic markets</i> (Vol. 412, pp. 165–182). Heinz Nixdorf Institut, Universität Paderborn. <a href=\"https://doi.org/10.5281/zenodo.8068642\">https://doi.org/10.5281/zenodo.8068642</a>","ieee":"T. Hansmeier, T. Kenter, M. Meyer, H. Riebler, M. Platzner, and C. Plessl, “Compute Centers I: Heterogeneous Execution Environments,” in <i>On-The-Fly Computing -- Individualized IT-services in dynamic markets</i>, vol. 412, C.-J. Haake, F. Meyer auf der Heide, M. Platzner, H. Wachsmuth, and H. Wehrheim, Eds. Paderborn: Heinz Nixdorf Institut, Universität Paderborn, 2023, pp. 165–182.","short":"T. Hansmeier, T. Kenter, M. Meyer, H. Riebler, M. Platzner, C. Plessl, in: C.-J. Haake, F. Meyer auf der Heide, M. Platzner, H. Wachsmuth, H. Wehrheim (Eds.), On-The-Fly Computing -- Individualized IT-Services in Dynamic Markets, Heinz Nixdorf Institut, Universität Paderborn, Paderborn, 2023, pp. 165–182.","chicago":"Hansmeier, Tim, Tobias Kenter, Marius Meyer, Heinrich Riebler, Marco Platzner, and Christian Plessl. “Compute Centers I: Heterogeneous Execution Environments.” In <i>On-The-Fly Computing -- Individualized IT-Services in Dynamic Markets</i>, edited by Claus-Jochen Haake, Friedhelm Meyer auf der Heide, Marco Platzner, Henning Wachsmuth, and Heike Wehrheim, 412:165–82. Verlagsschriftenreihe Des Heinz Nixdorf Instituts. Paderborn: Heinz Nixdorf Institut, Universität Paderborn, 2023. <a href=\"https://doi.org/10.5281/zenodo.8068642\">https://doi.org/10.5281/zenodo.8068642</a>.","mla":"Hansmeier, Tim, et al. “Compute Centers I: Heterogeneous Execution Environments.” <i>On-The-Fly Computing -- Individualized IT-Services in Dynamic Markets</i>, edited by Claus-Jochen Haake et al., vol. 412, Heinz Nixdorf Institut, Universität Paderborn, 2023, pp. 165–82, doi:<a href=\"https://doi.org/10.5281/zenodo.8068642\">10.5281/zenodo.8068642</a>.","ama":"Hansmeier T, Kenter T, Meyer M, Riebler H, Platzner M, Plessl C. Compute Centers I: Heterogeneous Execution Environments. In: Haake C-J, Meyer auf der Heide F, Platzner M, Wachsmuth H, Wehrheim H, eds. <i>On-The-Fly Computing -- Individualized IT-Services in Dynamic Markets</i>. Vol 412. Verlagsschriftenreihe des Heinz Nixdorf Instituts. Heinz Nixdorf Institut, Universität Paderborn; 2023:165-182. doi:<a href=\"https://doi.org/10.5281/zenodo.8068642\">10.5281/zenodo.8068642</a>","bibtex":"@inbook{Hansmeier_Kenter_Meyer_Riebler_Platzner_Plessl_2023, place={Paderborn}, series={Verlagsschriftenreihe des Heinz Nixdorf Instituts}, title={Compute Centers I: Heterogeneous Execution Environments}, volume={412}, DOI={<a href=\"https://doi.org/10.5281/zenodo.8068642\">10.5281/zenodo.8068642</a>}, booktitle={On-The-Fly Computing -- Individualized IT-services in dynamic markets}, publisher={Heinz Nixdorf Institut, Universität Paderborn}, author={Hansmeier, Tim and Kenter, Tobias and Meyer, Marius and Riebler, Heinrich and Platzner, Marco and Plessl, Christian}, editor={Haake, Claus-Jochen and Meyer auf der Heide, Friedhelm and Platzner, Marco and Wachsmuth, Henning and Wehrheim, Heike}, year={2023}, pages={165–182}, collection={Verlagsschriftenreihe des Heinz Nixdorf Instituts} }"},"file_date_updated":"2023-07-07T11:17:33Z","project":[{"grant_number":"160364472","_id":"1","name":"SFB 901: SFB 901: On-The-Fly Computing - 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Individualisierte IT-Dienstleistungen in dynamischen Märkten "},{"_id":"82","name":"SFB 901 - T: SFB 901 - Project Area T"},{"_id":"83","name":"SFB 901 - T1: SFB 901 -Subproject T1"}],"file_date_updated":"2023-07-07T11:14:23Z","citation":{"mla":"Boschmann, Alexander, et al. “Flexible Industrial Analytics on Reconfigurable Systems-On-Chip.” <i>On-The-Fly Computing -- Individualized IT-Services in Dynamic Markets</i>, edited by Claus-Jochen Haake et al., vol. 412, Heinz Nixdorf Institut, Universität Paderborn, 2023, pp. 225–36, doi:<a href=\"https://doi.org/10.5281/zenodo.8068713\">10.5281/zenodo.8068713</a>.","bibtex":"@inbook{Boschmann_Clausing_Jentzsch_Ghasemzadeh Mohammadi_Platzner_2023, place={Paderborn}, series={Verlagsschriftenreihe des Heinz Nixdorf Instituts}, title={Flexible Industrial Analytics on Reconfigurable Systems-On-Chip}, volume={412}, DOI={<a href=\"https://doi.org/10.5281/zenodo.8068713\">10.5281/zenodo.8068713</a>}, booktitle={On-The-Fly Computing -- Individualized IT-services in dynamic markets}, publisher={Heinz Nixdorf Institut, Universität Paderborn}, author={Boschmann, Alexander and Clausing, Lennart and Jentzsch, Felix and Ghasemzadeh Mohammadi, Hassan and Platzner, Marco}, editor={Haake, Claus-Jochen and Meyer auf der Heide, Friedhelm and Platzner, Marco and Wachsmuth, Henning and Wehrheim, Heike}, year={2023}, pages={225–236}, collection={Verlagsschriftenreihe des Heinz Nixdorf Instituts} }","ama":"Boschmann A, Clausing L, Jentzsch F, Ghasemzadeh Mohammadi H, Platzner M. Flexible Industrial Analytics on Reconfigurable Systems-On-Chip. In: Haake C-J, Meyer auf der Heide F, Platzner M, Wachsmuth H, Wehrheim H, eds. <i>On-The-Fly Computing -- Individualized IT-Services in Dynamic Markets</i>. Vol 412. Verlagsschriftenreihe des Heinz Nixdorf Instituts. Heinz Nixdorf Institut, Universität Paderborn; 2023:225-236. doi:<a href=\"https://doi.org/10.5281/zenodo.8068713\">10.5281/zenodo.8068713</a>","ieee":"A. Boschmann, L. Clausing, F. Jentzsch, H. Ghasemzadeh Mohammadi, and M. Platzner, “Flexible Industrial Analytics on Reconfigurable Systems-On-Chip,” in <i>On-The-Fly Computing -- Individualized IT-services in dynamic markets</i>, vol. 412, C.-J. Haake, F. Meyer auf der Heide, M. Platzner, H. Wachsmuth, and H. Wehrheim, Eds. Paderborn: Heinz Nixdorf Institut, Universität Paderborn, 2023, pp. 225–236.","apa":"Boschmann, A., Clausing, L., Jentzsch, F., Ghasemzadeh Mohammadi, H., &#38; Platzner, M. (2023). Flexible Industrial Analytics on Reconfigurable Systems-On-Chip. In C.-J. Haake, F. Meyer auf der Heide, M. Platzner, H. Wachsmuth, &#38; H. Wehrheim (Eds.), <i>On-The-Fly Computing -- Individualized IT-services in dynamic markets</i> (Vol. 412, pp. 225–236). Heinz Nixdorf Institut, Universität Paderborn. <a href=\"https://doi.org/10.5281/zenodo.8068713\">https://doi.org/10.5281/zenodo.8068713</a>","short":"A. Boschmann, L. Clausing, F. Jentzsch, H. Ghasemzadeh Mohammadi, M. Platzner, in: C.-J. Haake, F. Meyer auf der Heide, M. Platzner, H. Wachsmuth, H. Wehrheim (Eds.), On-The-Fly Computing -- Individualized IT-Services in Dynamic Markets, Heinz Nixdorf Institut, Universität Paderborn, Paderborn, 2023, pp. 225–236.","chicago":"Boschmann, Alexander, Lennart Clausing, Felix Jentzsch, Hassan Ghasemzadeh Mohammadi, and Marco Platzner. “Flexible Industrial Analytics on Reconfigurable Systems-On-Chip.” In <i>On-The-Fly Computing -- Individualized IT-Services in Dynamic Markets</i>, edited by Claus-Jochen Haake, Friedhelm Meyer auf der Heide, Marco Platzner, Henning Wachsmuth, and Heike Wehrheim, 412:225–36. Verlagsschriftenreihe Des Heinz Nixdorf Instituts. Paderborn: Heinz Nixdorf Institut, Universität Paderborn, 2023. <a href=\"https://doi.org/10.5281/zenodo.8068713\">https://doi.org/10.5281/zenodo.8068713</a>."}},{"language":[{"iso":"ger"}],"_id":"53840","page":"178-205","user_id":"95606","author":[{"id":"104560","orcid":"0000-0003-2967-8299 ","last_name":"Bartlitz","first_name":"David","full_name":"Bartlitz, David"}],"title":"Die Rechtsnatur elektronischer Wertpapiere","status":"public","year":"2023","date_updated":"2024-05-02T19:26:25Z","date_created":"2024-05-02T19:17:13Z","department":[{"_id":"845"}],"type":"journal_article","citation":{"ieee":"D. Bartlitz, “Die Rechtsnatur elektronischer Wertpapiere,” <i>Zeitschrift für Unternehmens- und Gesellschaftsrecht (ZGR)</i>, no. 2, pp. 178–205, 2023.","apa":"Bartlitz, D. (2023). Die Rechtsnatur elektronischer Wertpapiere. <i>Zeitschrift für Unternehmens- und Gesellschaftsrecht (ZGR)</i>, <i>2</i>, 178–205.","short":"D. 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