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Digital Tools to Enable Collaborative Mathematical Modeling Online

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Digital Tools to Enable Collaborative Mathematical Modeling Online

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dc.contributor.author Schönbrodt, Sarah es_ES
dc.contributor.author Wohak, Kirsten es_ES
dc.contributor.author Frank, Martin es_ES
dc.date.accessioned 2022-02-01T09:09:02Z
dc.date.available 2022-02-01T09:09:02Z
dc.date.issued 2022-01-29
dc.identifier.uri http://hdl.handle.net/10251/180411
dc.description.abstract [EN] To enable collaborative modeling activities online digital tools are essential. In this paper we present a holistic and adaptable concept for the development and implementation of modeling activities – which could especially be fruitful in times of homeschooling and distance learning. The concept is based on two digital tools: Jupyter Notebooks and a communication platform with video conferences.We carried out this concept in the context of two types of modeling activities: guided modeling days, where the students work on previously prepared and didactically developed digital learning material, and modeling weeks, in which the students work on open problems from research and industry very freely. In this paper the usage of Jupyter Notebook in modeling activities is presented and illustrated with the example of the optimization of a solar power plant. On top, we share our experiences in online modeling activities with high-school students in Germany. es_ES
dc.description.abstract [ES] Para facilitar las actividades de modelización colaborativa en línea, las herramientas digitales son esenciales. En este trabajo presentamos un concepto holístico y adaptable para el desarrollo y la implementación de actividades de modelización – que podría ser especialmente provechoso en tiempos de educación a distancia. El concepto se basa en dos herramientas digitales: Jupyter Notebooks y una plataforma de comunicación con videoconferencia. Realizamos este concepto en el contexto de dos tipos de actividades de modelización matemática: días de modelización guiada, en los que los alumnos trabajan con material de aprendizaje digital previamente preparado y desarrollado didácticamente, y semanas de modelización, en las que los alumnos trabajan en problemas abiertos de la investigación o de la industria de forma libre. Se presenta el uso de Jupyter Notebook en las actividades de modelización y se ilustra con el ejemplo de la optimización de una planta solar. Además, compartimos nuestras experiencias en actividades de modelización en línea con estudiantes de secundaria en Alemania. es_ES
dc.language Inglés es_ES
dc.publisher Universitat Politècnica de València es_ES
dc.relation.ispartof Modelling in Science Education and Learning es_ES
dc.rights Reconocimiento - No comercial (by-nc) es_ES
dc.subject Digital tools es_ES
dc.subject Mathematical modeling es_ES
dc.subject Collaborative learning online es_ES
dc.subject Herramientas digitales es_ES
dc.subject Modelización matemática es_ES
dc.subject Aprendizaje colaborativo en línea es_ES
dc.title Digital Tools to Enable Collaborative Mathematical Modeling Online es_ES
dc.title.alternative Herramientas digitales para la modelización matemática colaborativa en línea es_ES
dc.type Artículo es_ES
dc.identifier.doi 10.4995/msel.2022.16269
dc.rights.accessRights Abierto es_ES
dc.description.bibliographicCitation Schönbrodt, S.; Wohak, K.; Frank, M. (2022). Digital Tools to Enable Collaborative Mathematical Modeling Online. Modelling in Science Education and Learning. 15(1):151-174. https://doi.org/10.4995/msel.2022.16269 es_ES
dc.description.accrualMethod OJS es_ES
dc.relation.publisherversion https://doi.org/10.4995/msel.2022.16269 es_ES
dc.description.upvformatpinicio 151 es_ES
dc.description.upvformatpfin 174 es_ES
dc.type.version info:eu-repo/semantics/publishedVersion es_ES
dc.description.volume 15 es_ES
dc.description.issue 1 es_ES
dc.identifier.eissn 1988-3145
dc.relation.pasarela OJS\16269 es_ES
dc.description.references Blum, W. (2015). Quality Teaching of Mathematical Modelling: What Do We Know, What Can We Do? In S. J. Cho (Ed.), The Proceedings of the 12th International Congress on Mathematical Education (pp. 73-96). Cham: Springer International Publishing. https://doi.org/10.1007/978-3-319-12688-3_9 es_ES
dc.description.references Blum, W., & Borromeo Ferri, R. (2009). Mathematical Modelling: Can it Be Taught and Learnt? Journal of Mathematical Modelling and Application, 1 (1), 45-58. es_ES
dc.description.references Blum, W., Galbraith, P., Henn, H.-W., & Niss, M. (2007). Modelling and Applications in Mathematics Education. New York: Springer. https://doi.org/10.1007/978-0-387-29822-1 es_ES
dc.description.references Blum, W., & Lei, D. (2007). How do students and teachers deal with modelling problems? In C. Haines, P. Galbraith, W. Blum, & S. Khan (Eds.), Mathematical Modelling (ICTMA 12): Education, Engineering and Economics (pp. 222-231). Chichester: Horwood Publishing. https://doi.org/10.1533/9780857099419.5.221 es_ES
dc.description.references Borromeo Ferri, R. (2006, 04). Theoretical and empirical differentiations of phases in the modeling process. ZDM, 38(2), 86-95. doi: 10.1007/BF02655883 https://doi.org/10.1007/BF02655883 es_ES
dc.description.references Bruffee, K. (1995). Sharing Our Toys: Cooperative Learning versus Collaborative Learning. Change, 27 (1), 12-18. https://doi.org/10.1080/00091383.1995.9937722 es_ES
dc.description.references Computer-Based Maths. (n.d.). The Computational Thinking Process Poster. www.computationalthinking.org/helix. (accessed: 2021-01-23) es_ES
dc.description.references Frank, M., Richter, P., Roeckerath, C., & Schönbrodt, S. (2018). Wie funktioniert eigentlich GPS? - Ein Computergestützter Modellierungsworkshop [How does GPS actually work? - A Computer-Supported Modeling Workshop]. In Greefrath, G. and Siller, S. (Ed.), Digitale Werkzeuge, Simulationen und mathematisches Modellieren [Digital tools, simulations and mathematical modeling] (pp. 137-163). Wiesbaden: Springer-Verlag. https://doi.org/10.1007/978-3-658-21940-6_7 es_ES
dc.description.references Frey, K. (2012). Die Projektmethode: Der Weg zum bildenden Tun [The project method: the path to educational action] (12th ed.; U. Schäfer, Ed.). Weinheim: Beltz. es_ES
dc.description.references Gerhard, M., Hattebuhr, M., Schönbrodt, S., & Wohak, K. (2021). Aufbau und Einsatzmöglichkeiten des Lehr- und Lernmaterials [Structure and possible applications of the teaching and learning material]. In M. Frank & C. Roeckerath (Eds.), Neue Materialien für einen realitätsbezogenen Mathematikunterricht 9 [New materials for reality-based mathematics teaching 9]. Springer Spektrum. es_ES
dc.description.references Greefrath, G., & Siller, H.-S. (2018). Digitale Werkzeuge, Simulationen und mathematisches Modellieren [Digital tools, simulations and mathematical modeling]. In Greefrath, G. and Siller, S. (Ed.), Digitale Werkzeuge, Simulationen und mathematisches Modellieren [Digital tools, simulations and mathematical modeling] (pp. 3-22). Wiesbaden: Springer-Verlag. https://doi.org/10.1007/978-3-658-21940-6_1 es_ES
dc.description.references Golub, J. (1988). Focus on Collaborative Learning. Urbana, Illinois: National Council of Teachers of English. es_ES
dc.description.references Johnson, D., & Johnson, R. (1989). Cooperation and Competition: Theory and Research. Interaction Book Company. es_ES
dc.description.references Johnson, D., & Johnson, R. (2014). Using technology to revolutionize cooperative learning: An opinion. Frontiers in Psychology, 5 , 1-3. https://doi.org/10.3389/fpsyg.2014.01156 es_ES
dc.description.references Panitz, T. (1999a). Collaborative versus cooperative learning: A comparison of the two concepts which will help us understand the underlying nature of interactive learning. ERIC Document Reproduction Service No. ED448443. es_ES
dc.description.references Panitz, T. (1999b). The Motivational Benefits of Cooperative Learning. New directions for teaching and learning, 78. https://doi.org/10.1002/tl.7806 es_ES
dc.description.references Roberts, T. (2004). Preface. In T. Robert (Ed.), Online Collaborative Learning. Hershey, London: Information Science Publishing. es_ES
dc.description.references Nason R. and Woodruff E. (2004). Online Collaborative Learning in Mathematics: Some Necessary Innovations. Online Collaborative Learning. Robert T.S (Ed.) pp 103-131 Information Science Publishing, Hershey (London) https://doi.org/10.4018/978-1-59140-174-2.ch005 es_ES
dc.description.references Siller, H.-S., & Greefrath, G. (2010). Mathematical Modelling in Class regarding to Technology. In Proceedings of the 6th CERME conference (pp. 2136-2145). (CERME-Proceedings) es_ES
dc.description.references Greefrath G.and Siller H-St (2018). Digitale Werkzeuge, Simulationen und mathematisches Modellieren (Digital tools, simulations and mathematical modeling). Digitale Werkzeuge, Simulationen und mathematisches Modellieren (Digital tools, simulations and mathematical modeling). Greefrath G. and Siller S. (Eds.) pp. 3-22. Springer-Verlag (Wiesbaden) https://doi.org/10.1007/978-3-658-21940-6_1 es_ES
dc.description.references Hänze, M., Schmidt-Weigand, F., & Staudel, L. (2010). Gestufte Lernhilfen [Staggered learning aids]. In S. Boller & R. Lau (Eds.), Innere Differenzierung in der Sekundarstufe II. Ein Praxishandbuch für Lehrer/innen [Inner differentiation in upper secondary education. A practical handbook for teachers] (pp. 63-73). Weinheim: Beltz. es_ES
dc.description.references Kaiser, G., & Schwarz, B. (2010). Authentic Modelling Problems in Mathematics Education - Examples and Experiences. Journal fur Mathematik-Didaktik, 31 , 51-76. https://doi.org/10.1007/s13138-010-0001-3 es_ES
dc.description.references Krajcik J.S. and Blumenfeld Ph.C. (2005). Project-Based Learning. The Cambridge Handbook of the Learning Sciences. Sawyer, R. Keith (Ed.) pp 317-334. Cambridge Handbooks in Psychology. Cambridge University Press (Cambridge) doi:10.1017/CBO9780511816833.020 https://doi.org/10.1017/CBO9780511816833.020 es_ES
dc.description.references Ludwig, M. (1997). Projekte im Mathematikunterricht des Gymnasiums [Projects in mathematics lessons of the high school] (phdthesis). Julius-Maximilians-Universitöt Würzburg. https://doi.org/10.1007/BF03338857 es_ES
dc.description.references Maaß, K. (2010). Classifiation Scheme for Modelling Tasks. Journal fur Mathematik-Didaktik, 31 (2), 285-311. doi: 10.1007/s13138-010-0010-2 https://doi.org/10.1007/s13138-010-0010-2 es_ES
dc.description.references Bock, W., & Bracke, M. (2015). Applied School Mathematics - Made in Kaiserslautern. In H. Neuntzer & D. Prätzel-Wolters (Eds.), Currents in industrial mathematics: From concepts to research to education (pp. 403-437). Berlin, Heidelberg: Springer. https://doi.org/10.1007/978-3-662-48258-2 es_ES
dc.description.references Kronberg, R., York-Barr, J., Arnold, K., Gombos, S., Truex, S., Vallejo, B., & Stevenson, J. (1997). Differentiated Teaching & Learning in Heterogeneous Classrooms: Strategies for Meeting the Needs of All Students. Washington D.C.: ERIC Clearinghouse. Retrieved from https://eric.ed.gov/?id=ED418538 es_ES
dc.description.references Stahl, G., Koschmann, T., & Suthers, D. (2006). Computer-supported collaborative learning: An historical perspective. In R. Sawyer (Ed.), Cambridge handbook of the learning sciences (pp. 409-426). Cambridge: Cambridge University Press. https://doi.org/10.1017/CBO9780511816833.025 es_ES
dc.description.references Niss, M. (1992). Applications and modelling in school mathematics - directions for future development. Roskilde: IMFUFA Roskilde Universitetscenter. es_ES
dc.description.references Schmidt, L. (2019). Machine Learning: automatische Bilderkennung mit Mathematik?! - Ein Lehr-Lern- Modul im Rahmen eines mathematischen Modellierungstages für Schülerinnen und Schüler der Sekundarstufe II [Machine Learning: automatic image recognition with mathematics?! - A teaching-learning module in the context of a mathematical modeling day for high school students]. www.cammp.online Masterthesis4druck.pdf. (Master's thesis, RWTH Aachen, accessed: 2021-02-23) es_ES
dc.description.references Schönbrodt, S., & Frank, M. (2020). Schüler/innen forschen zu erneuerbaren Energien - Optimierung eines Solarkraftwerks [Students research on renewable energies - Optimization of a solar power plant]. In H.-S. Siller, W. Weigel, & J. F. Worler (Eds.), Beiträge zum Mathematikunterricht [Contributions to mathematics education] (pp. 1534-1534). Münster: WTM-Verlag. es_ES
dc.description.references Schönbrodt, S. (2019). Maschinelle Lernmethoden für Klassifizierungsprobleme - Perspektiven für die mathematische Modellierung mit Schülerinnen und Schülern [Machine learning methods for classification problems - perspectives for mathematical modeling with students]. Wiesbaden: Springer Spektrum. https://doi.org/10.1007/978-3-658-25137-6 es_ES
dc.description.references Vos, P. (2011). What is 'authentic' in the teaching and learning of mathematical modelling? In G. Kaiser, W. Blum, R. Borromeo Ferri, & G. Stillman (Eds.), Trends in Teaching and Learning of Mathematical Modelling, ICTMA 14 (pp. 713-722). Dordrecht: Springer. https://doi.org/10.1007/978-94-007-0910-2_68 es_ES
dc.description.references Winter, H. (1995). Mathematikunterricht und Allgemeinbildung [Mathematics education and general education]. Mitteilungen der Gesellschaft für Didaktik der Mathematik, 61 , 37-46. Retrieved 23 January, 2021, from https://ojs.didaktik-der-mathematik.de/index.php/mgdm/article/view/69/80 es_ES
dc.description.references Wohak, K., & Frank, M. (2019). Complex Modeling: Insights into our body through computer tomography - perspectives of a project day on inverse problems. In U. T. Jankvist, M. van den Heuvel-Panhuizen, & M. Veldhuis (Eds.), Eleventh Congress of the European Society for Research in Mathematics Education (pp. 4815-4822). Utrecht: Freudenthal Group. es_ES
dc.description.references Wohak, K., Sube, M., Schönbrodt, S., Frank, M., & Roeckerath, C. (2021). Authentische und relevante Modellierung mit Schülerinnen und Schülern an nur einem Tag?! [Authentic and relevant modeling with students in just one day?!]. In M. Bracke, M. Ludwig, & K. Vorhölter (Eds.), Modellierungsprojekte mit Schülerinnen und Schülern. Realitätsbezüge im Mathematikunterricht [Modeling projects with students. Reality references in mathematics lessons] (pp. 37-50). Wiesbaden: Springer Spektrum. https://doi.org/10.1007/978-3-658-33012-5_4 es_ES
dc.description.references Vorholter K. and Freiwald J. (2022). Concept and structure of the Hamburg Modeling Days Modelling in Science Education and Learning. (In this issue). es_ES
dc.description.references Hattebuhr M. and Frank M. (2022). Compartment models to study human impact on climate change Modelling in Science Education and Learning. (In this issue). es_ES


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