M C Squared Project

In its three years course, the M C Squared project has successfully organised 42 workshops and many presentations in world trade exhibitions like BETT and EducaBerlin. Some are listed below:

• An M C Squared workshop and project paper presentation, in the context of the International Conference on Mathematics Textbook Research and Development in Southampton, UK. In the workshop about 20 participants learned about the c-book technology and made their first steps in designing their own c-book. There were many positive reactions, with particular interest generated from Asia. At the same conference, on July 31, M C Squared presented a paper on the theoretical backgrounds of the project as well, with similar positive reactions, especially with regard to our approach to social creativity and the use of communication tools. (30-31 July 2014)
• The workshop “Authoring Interactive Constructionist Activities and Learning Analytics as a Social Creative Process” was organised by LKL, CTI and UU (led by LKL) in the context of the “Constructionism and Creativity 2014” conference. 25 participants learned about the project technology, reflected on the c-book concept overall and the projects’ contributions to creativity. Particular emphasis was placed on the data analytics objectives of the project with respect to potential contribution to the field of Constructionism in general and Creativity in particular. Part of the discussion revolved around ethical issues emerging. (20 August 2014)
• A workshop held at the Fifth Central and Eastern European Conference on Computer Algebra and Dynamic Geometry Systems in Mathematics Education (CADGME 2014), Halle (Saale), Germany, in which participants learned about the project and then authored their own c-book. Although participants could choose their own topic, extra emphasis was put on the particular focus of the conference: integrals with a computer algebra system, or checking geometric constructions with angle bisectors. (26 September 2014)
• A special workshop titled "Evaluation of Creativity Methodology" was organised by CTI in Athens, for discussing methodological issues on the measurement of Social Creativity and Creative Mathematical Thinking in the framework of the M C Squared project. (23-24 April 2015)
• LKL organised a very well attended workshop on Intelligent Support in Exploratory and Open-ended Learning Environments at the 17th International Conference on Artificial Intelligence in Education, in Madrid. The workshop focused particularly into how Exploratory Environments (ELEs) or Open-ended Learning Environments (OLEs) can be integrated in practice in teaching. It included an interactive demo and poster slot where M C Squared progress on feedback and learning analytics for creative mathematical e-books was presented and discussed with the participants. Dr Mavrikis presented the project and how it manages to go beyond the state-of-art limitations with respect to technology focusing only on foundational skills and addressed critical thinking, problem solving and creativity that the report highlights as high-order competencies where more work is required.  Everyone’s feedback was really positive and the possibility of using the tools more generally was discussed. Particular interest revolved around the event with a debate on the "World Economic Forum Report: New Vision for Education: Unlocking the Potential of Technology". (22-29 June 2015)
• CTI organised the 2-day "c-book widgets" workshop, in Athens, in order to introduce CoIs to new features available, including logging and cross-widget-communication, in all widget factories. Members from all the M C Squared CoIs attended this workshop, which in fact resulted in the augment use of more and different widget factories in the c-book unit designs. (07-08 July 2015)
• ARI organised an M C Squared workshop at “Les journées Nationales APMEP”, the French annual conference on teaching mathematics, held in Laon, France. (Oct 2015)
• CTI with support from TL organised a workshop with c-book technology demonstration, for developers of digital games, researchers, academics, teachers and SMEs, in the framework of C2Learn Final Workshop "Meet Co-Creativity", held in Athens, Greece. (Oct 2015)
• The workshop “Exploitation of 3D representations in Maths and Computer Science: The “MaLT+” widget” addressed to students, teachers and researchers, was organised by CTI and TAL in Thessaloniki, Greece. (Nov 15)

The project results were well disseminated and achieved world-wide recognition within the three years of its development, producing 57 publications. Some are listed below:

•  J-F.Nicaud, C.Viudez: Communiquer avec des formules Mathématiques. Sésamath MATHEMATICE, No 38, January 2014.
• C.Kynigos, M.Daskolia: Supporting Creative Design Processes for the Support of Creative Mathematical Thinking - Capitalising on Cultivating Synergies between Math Education and Environmental Education. Proceedings of the 6th International Conference on Computer Supported Education (CSEDU 2014) held in conjunction with SMARTGREENS 2014, CLOSER 2014 and WEBIST 2014, April 1-3, 2014, Barcelona, Spain. Paper #256, doi:10.5220/0004965603420347.
• C. Kynigos, F.Moustaki: Designing digital media for creative mathematical learning. Proceedings of the 2014 conference on Interaction design and children (IDC2014), June 17-20, 2014, Aarhus, Denmark. Pages 309-312, ISBN: 9781450322720, doi: 10.1145/2593968.2610479.
• C. Kynigos: Social creativity in designing constructionist e-books: new mediations for creative mathematical thinking?  Proceedings of the Constructionism 2014: Constructionism and Creativity, International Conference, Futchek, G. and Kynigos, C., (Eds), August 19-23, 2014, Vienna.
• Bokhove, C., Jones, K., Charlton, P., Mavrikis, M., Geraniou, E.: Authoring your own creative, electronic book for mathematics: the MC-squared project, K. Jones et al (Eds), July 29-31, 2014, Southampton.
• C. Kynigos, F. Moustaki, R. Smyrnaiou, M. Xenos, Half-baked microworlds as expressive media for fostering creative mathematical thinking. Proceedings of the Constructionism 2014: Constructionism and Creativity, International Conference, Futchek, G. and Kynigos, C., (Eds), August 19-23, 2014, Vienna. Pages 125-134, ISBN: 9783854033011
• M. Mavrikis, C. Bokhove, P. Boon, P. Charlton, E. Geraniou, M. Daskolia, C. Kynigos, F. Moustaki, M. Xenos, Authoring Interactive Constructionist Activities and Learning Analytics as a Social Creative Process: the MC2 PROJECT. Proceedings of the Constructionism 2014: Constructionism and Creativity, International Conference, Futchek, G. and Kynigos, C., (Eds), August 19-23, 2014, Vienna. Pages 568-569, ISBN: 9783854033011
• B.Barquero, A.Richter, M.Barajas, V.Font, Promoviendo la creatividad a través del diseño colaborativo de c-unidades / Fostering mathematical creativity through the collaborative design of innovative c-units. Investigación en educación matemática XVIII / SEIEM symposium papers, Mª Teresa González, Myriam Codes, David Arnau, Tomás Ortega (Eds.) , September 2014, September 4-6, 2014, Salamanca. Page 157, ISBN: 978-84-697-0819-4.
• C. Mercat : La diffusion: un lieu pour une mathématique plus humaine? Espace Mathématique Francophone - EMF 2015, http://emf2015.usthb.dz/, Alger, Oct 2014.
• V. Émin, N. Essonnier, P. Lealdino Filho, C. Mercat, J. Trgalova: Assigned to creativity: Didactical contract negotiation and technology. Proceedings of the CERME 9 conference, (http://www.cerme9.org), Oct 2015.
• U. Kortenkamp: C-Books: Social Creativity and Creative Mathematical Thinking. Proceedings of the GDM Tagung 2015 (www.gdm2015.ch), Feb 2015.
• C. Kynigos, E. Kalogeria: Boundary crossing in a community of interest while designing an e-book with the aim to foster students’ creativity. Proceedings of the CERME 9 conference (http://www.cerme9.org), Feb 2015.
• I. Papadopoulos, B. Barquero, A. Richter, M. Daskolia, M. Barajas, C. Kynigos: Representations of creative mathematical thinking in collaborative designs of c-book units. Proceedings of the CERME 9 conference (http://www.cerme9.org), Feb 2015.
• Diamantidis, K. Economakou, A. Kaitsoti, C. Kynigos, F. Moustaki: Social creativity and meaning generation in a constructionist environment. Proceedings of the CERME 9 conference (http://www.cerme9.org), Feb 2015.
• A.Richter, B. Barquero, V. Font, M. Barajas: ¿Como promover la creatividad matemática? El papel de las comunidades de interés y el diseño de C-unidades. Acta Latinoamericana de Matemática Educativa - ALME, vol. 28, 731-738, published by the Comité Latinoamericano de Matemática Educativa, May 2015.
• C. Kynigos, E. Kalogeria: Studying the process of designing digital educational resources with the aim to foster students’ creative mathematical thinking. Proceedings of the ICTMT 12 conference (http://ictmt12.pt), Jun 2015.
• M.Daskolia, C.Kynigos: Creativity squared? Investigating social creativity in the design of educational resources fostering creative thinking in maths and sustainability learning. Proceedings of the 8th World Environmental Education Congress (WEEC 2015) conference (http://weec2015.org), Jun-Jul 2015.
• C. Kynigos & G. Futschek (Editorial): Re-Situating Constructionism. Constructivist Foundations (10/3): 281–284, Alexander Riegler, Center Leo Apostel for Interdisciplinary Research, Vrije Universiteit Brussel, ISSN 1782-348X (http://www.univie.ac.at/constructivism/journal/10/3/281.editorial), Jul 2015.
• C.Kynigos: Designing Constructionist E-Books: New Mediations for Creative Mathematical Thinking? Constructivist Foundations (10/3): 305–313, Alexander Riegler, Center Leo Apostel for Interdisciplinary Research, Vrije Universiteit Brussel, ISSN 1782-348X (http://www.univie.ac.at/constructivism/journal/10/3/305.kynigos), Jul 2015.
• C.Kynigos: Author’s Response: Designing for New Mediations: A Constructionist Approach. Constructivist Foundations (10/3): 317–320, Alexander Riegler, Center Leo Apostel for Interdisciplinary Research, Vrije Universiteit Brussel, ISSN 1782-348X, Jul 2015.
• E. Geraniou, M. Mavrikis: Building Bridges to Algebra through a Constructionist Learning Environment. Constructivist Foundations (10/3): 321–330, Alexander Riegler, Center Leo Apostel for Interdisciplinary Research, Vrije Universiteit Brussel, ISSN 1782-348X, Jul 2015.
• P. Charlton, S. Karkalas, M. Mavrikis: Designing a mediation vocabulary for authoring learning analytics. Paper accepted to be presented at KEOD Knowledge Engineering and Ontology Development, part of IC3K, the 7th International Joint Conference on Knowledge Discovery, Knowledge Engineering and Knowledge Management (http://www.keod.ic3k.org/), Sep 2015.
• S. Karkalas, M. Mavrikis, P. Charlton: Turning Web Content into Learning Content, A Lightweight Integration and Interoperability Technique. KEOD Knowledge Engineering and Ontology Development, part of IC3K, the 7th International Joint Conference on Knowledge Discovery, Knowledge Engineering and Knowledge Management (http://www.keod.ic3k.org), Sep 2015.
• Karkalas S., Mavrikis M.: Feedback Authoring for Exploratory Learning Objects: AuthELO. Proceedings of CSEDU 2016, Rome, Italy, Apr 2016 (http://www.scitepress.org/DigitalLibrary/PublicationsDetail.aspx?ID=gugcV9QiuaQ%3d&t=1).
• Kynigos,C.,Kolovou,Α.: Teachers as designers of digital educational resources for Creative Mathematical Thinking. Proceedings of ICME-13 Conference, Hamburg, Germany, Jul 2016.
• Karkalas S., Mavrikis M., Labs O.: Towards Analytics for Educational Interactive e-books. Proceedings of the Sixth International Conference on Learning Analytics & Knowledge  (ACM), Edinburgh, UK, Apr 2016. (http://dl.acm.org/citation.cfm?doid=2883851.2883943)
• Trgalova J., El-Demerdash M., Labs O. Nicaud J.: Collaborative design of educational digital resources for promoting creative mathematical thinking. Proceedings of ICME-13 Conference, Hamburg, Germany, Jul 2016.
• Barquero B., Papadopoulos I., Barajas M., Kynigos C.: Cross-case design in using digital technologies: Two Communities of Interest designing a c-book unit. Proceedings of ICME-13 Conference, Hamburg, Germany, Jul 2016.
• Essonnier, N. , Kynigos, C. , Trgalova, J. , Daskolia, M.: Studying the role of context in social creativity for the design of digital resources. Proceedings of ICME-13 Conference, Hamburg, Germany, Jul 2016.
• Karkalas, S., Mavrikis, M. & Charlton, P.: Turning web content into learning content, a lightweight integration and interoperability technique. Electronic proceedings of KEOD Confernece, Lisbon, Portugal, Oct 2015. (DOI: 10.5220/0005579301390146)
• Charlton, P., Karkalas, S., Mavrikis, M.: Designing a Mediation Vocabulary for Authoring Learning Analytics. Electronic proceedings of KEOD Confernece, Lisbon, Portugal, Oct 2015. (DOI:10.5220/0005598702230230)
• Barquero B., Serrano L., Ruiz-Munzón N.: A bridge between inquiry and transmission: the study and research paths at university level. INDRUM Conference - first conference of the International Network for Didactic Research in University Mathematics. University of Montpellier and INDRUM, Montpellier, France, Mar-Apr 2016. (http://indrum2016.sciencesconf.org/conference/indrum2016/pages/indrum2016proceedings.pdf)
• Daskolia M., Kynigos C.: Embedding citizen science about urban sustainability in a tertiary education curriculum. Proceedings of European Citizen Science Association (ECSA) First Conference. Berlin, Germany, May 2016.
• Daskolia M., Kynigos C.: Co-designing digital educational resources addressing sustainability issues for citizen science. Proceedings of European Citizen Science Association (ECSA) First Conference. Berlin, Germany, May 2016.
• Daskolia M., Kynigos C.: Co-authoring interactive citizen science stories with digital media: a walk in a ‘bioclimatic luna-park. Proceedings of European Citizen Science Association (ECSA) First Conference. Berlin, Germany, May 2016.
• Von Gagern M. , Kortenkamp U., Richter-Gebert J., Strobel M.: CindyJS. Springer Lecture Notes on Computer Science, vol 9725. Springer-Verlag, Berlin, Germany, 2016. DOI 10.1007/978-3-319-42432-3_39.
• Papadopoulos I.,  Diamantidis D.,  Kynigos C.: Meaning around angle with digital media designed to support creative mathematical thinking. Proceedings of PME40 - 40th Psychology of Mathematics Education Conference, Szeged, Hungary, Aug 2016.
• Kolovou A. , Kynigos C.: Designing e-books to foster creative mathematical thinking: the case of curvature. Proceedings of PME40 - 40th Psychology of Mathematics Education Conference, Szeged, Hungary, Aug 2016.
• Latsi M. , Kynigos C.: Writing collaboratively the narrative of a c-book unit aiming at fostering creative mathematical thinking. Proceedings of PME40 - 40th Psychology of Mathematics Education Conference, Szeged, Hungary, Aug 2016.
• Hansen A.,Mazziotti C., Grawemeyer B.: Addressing students' difficulties in equivalent fractions. Proceedings of PME40 - 40th Psychology of Mathematics Education Conference, Szeged, Hungary, Aug 2016.
• El-Demerdash M.,  Lealdino Filho P., Mercat C.: The Effectiveness of Kinesthetic Approach in Developing Mathematical Function Graphs Recognition and Understanding at University Level. Proceedings of the 6th Central- and Eastern European Conference on Computer Algebra- and Dynamic Geometry Systems in Mathematics Education (CADGME), Targu Mures, Romania, Sep 2016.
• El-Demerdash M., Essonnier N., Trgalova J., Mercat C.: Digital Resources to Enhance Creative Mathematical Thinking in a Biomathematics Context. Proceedings of the 6th Central- and Eastern European Conference on Computer Algebra- and Dynamic Geometry Systems in Mathematics Education (CADGME), Targu Mures, Romania, Sep 2016.
• Mercat C. : La diffusion: un lieu pour une mathématique plus humaine? Espace Mathématique Francophone EMF 2015, Alger, Algeria, Oct 2015. (http://emf2015.usthb.dz/actes/EMF2015SPE2MERCAT.pdf)
• Kynigos C. Diamantidis D. Grizioti M: Defining the usage of Digital tools by students in “MaLT”. Electronic Proceedings 4th Greek Conference “ICT Incorporation and usage in educational process”, Hellenic Scientific Association of ICT in Education, Thessalomiki, Greece, Oct 2015. (http://www.etpe.gr/custom/pdf/etpe2322.pdf)
• Latsi M., Ardavani K., Vlachostergiou K., Ioakeimidou S.: Bioclimatic amusement park: a c-book unit aiming at fostering creative mathematical thinking. Electronic proceedings 6th Conference of the Greek Association for Research in Mathematics Education, Thessalomiki, Greece, Dec 2015. (http://enedi m6.web.aut h.gr/#praktika)
• Kolovou A., Perisinaki I., Gavrilakis K., Daskolia M.: Climate change: A dynamic digital book (c-book) for supporting students’ mathematical creativity. Electronic proceedings 6th Conference of the Greek Association for Research in Mathematics Education. Thessalomiki, Greece, Dec 2015. (http://enedi m6.web.aut h.gr/#praktika)
• Kynigos C., Daskolia M., Papadopoulos I., Makri K.: Mathematical Creativity Squared: European Project about Creative Mathematical Thinking. Electronic proceedings 6th Conference of the Greek Association for Research in Mathematics Education. Thessalomiki, Greece, Dec 2015. (http://enedi m6.web.aut h.gr/#praktika)
• Lalas G., Keisoglou S., Grizioti M., Papadopoulos I., Makri K.: Curves in space: A digital book aiming to develop creative mathematical thinking. Electronic proceedings 6th Conference of the Greek Association for Research in Mathematics Education. Thessalomiki, Greece, Dec 2015. (http://enedi m6.web.aut h.gr/#praktika)
• Kortenkamp U., Labs O.: Bausteine in digitalen Lernumgebungen vernetzen: Technologie zur Gestaltung und Analyse von kreativen Lernprozessen. Beiträge zum Mathematikunterricht, Heidelberg, Germany, 2016.
• Sala G., Barquero B., Monreal N., Font V., Barajas M.: Evaluating mathematical creativity affordances in the design of a c-book unit. Proceedings of the XX Simposio de la Sociedad Española de Investigación en Educación Matemática. Malaga, Spain, Sep 2016. (http://www.seiem.es/docs/actas/20/ActasXXSEIEM.pdf)
• Kolovou A., Daskolia M.: A socio-technical environment affording social creativity in the design of digital education resources for Math and Environmental Education. Electronic proceedings of HICICTE 2016, the 10th Pan-Hellenic and International Conference “ICT in Education”. Ioannina, Greece, Sep 2016.
• Vlachostergiou K., Daskolia M., Kynigos C.: Teachers’interdisciplinary collaboration in the design of digital educational resources for Environmental Education. Electronic proceedings of HICICTE 2016, the 10th Pan-Hellenic and International Conference “ICT in Education”. Ioannina, Greece, Sep 2016.
• Ioakimeidou S., Daskolia M., Kynigos C.: Creative narratives as a component of new means of digital educational resources combining maths with environmental education. Electronic proceedings of HICICTE 2016, the 10th Pan-Hellenic and International Conference “ICT in Education”. Ioannina, Greece, Sep 2016.
• Grizioti M, Kynigos C., Xenos M.: Introducing Students to the concept of Variable in Programming with Malt+ widget. Electronic proceedings 8th Greek Conference "Didactics of Informatics", Ioannina, Greece, 2016.
• Xenos M., Kynigos C., Grizioti M.: Designing an intelligent system for Constructionist activities: the case of Malt+ widget. Electronic proceedings 8th Greek Conference "Didactics of Informatics", Ioannina, Greece, Sep 2016.

• Presentation of the mc2 project by ARI during the Annual conference of the Mathematics French Teacher Association (Journées de l’APMEP), Marseille France, 19-21/10/2013.
• Presentation of the mc2 project by UCBL to the Math Education Research Institute (IREM) of Grenoble, Col de Porte, France, 30/11/2013.
• Presentation of the mc2 project by UCBL to the national network of directors of IREM, in Paris, France, on 09/12/2013.
• Presentation of the mc2 project by UCBL to the SILEX team of the National Institute of Applied Science (INSA), INSA Lyon, France, 10/01/2014.
• Demo of DME during LKL’s 13th ‘What the research says’ event: “What industry says Fusion Skills really are?”, LKL, Institute of Education, University of London, 31/01/2014.
• Dissemination of mc2 by UB during the annual conference “VI Jornades de l’Associació Catalana de GeoGebra” , UPF, Campus de la Ciutadella, Barcelona, Spain, 14-15/02/2014.
• Presentation of the mc2 project to the Association of Math Teachers, UCBL Grenoble France, 19/02/2014.
• Presentation of mc2 goals by LKL to the National Center for Excellence in the Teaching of Mathematics (NCETM) /group on creativity, Institute of Education, London, 26/02/2014.
• Presentation of DME and mc2 by LKL to the Association of Teachers of Mathematics (Meridian ATM/MA branch) as CPD activity, Alton, Amery Hill, UK, 15/03/2014.
• Demo of DME during LKL’s ‘What the research says’ event: “Can APPs for teachers drive learning innovation”, 15/03/2014.
• Dissemination of the mc2 project by TL during the Game Developers Conference 2014, San Francisco, USA, 17-21/03/2014.
• Dissemination of the project in BETT 2015, where through partner's LKL booth, more than 100 M C Squared leaflets were shared, potential exploitation avenues were discussed with publishers and several links were made with teachers who now participate in the project's CoIs or expressed interest in using the M C Squared technology in the classroom. 21–24 January 2015.
• Presentation of the mc2 project, its socio-technical environment and how it aims to contribute to fostering social creativity in the design of c-book units, by CTI at the 8th World Environmental Education Congress (WEEC 2015), in Gothenburg, Sweden, 29/6-2/7/2015.
• Presentation of M C Squared to around 150 researchers, academics and math teachers, at the annual meeting of Colombian mathematicians (XXth Colombian Congress of Mathematicians), by UCBL, in Manizales, Colombia, 21-24 July, 2015.
• Presentation of examples of M C Squared c-books, detailing the different dimensions of creativity in Inquiry Based Learning, by UCBL, during the Summer University «Université d’été à Bramans (Savoie) de Math.en.Jeans», MATh.en.JEANS (MEJ), 22-26 August 2015.
• Presentation by UCBL at Creativity and Modelling with technology, IREM, Strasbourg, France, Sep 2015.
• The c-book unit "Ski touring" was presented by UCBL at IREM Grenoble, France, Oct 2015.
• Presentation “Dance like a function” by UCBL at Science week, Collège Ampère, Lyon, France, Oct 2015.
• Presentation “Kinaesthetic mathematics” by UCBL at Espace Mathématique Francophone (EMF 2015), Alger, Oct 2015.
• Presentation by UCBL at APMEP, Laon, France, Oct 2015.
• Presentation “Algebraic tiles” by UCBL at IREM Grenoble, France, Oct 2015.
• Presentation by TL and LKL at the exhibition ICT2015 - Innovate, Connect, Transform, in Lisbon, Portugal, Oct 2015.
• Presentation by UCBL at INTED 2016 - 10th International Technology, Education and Development Conference, in Valencia, Spain, Dec 2015.
• Invited presentation by TL at IED - Istituto Europeo del Design, in Milan, Italy, Dec 2015.
• Presentation by UU with contribution from UoP and UCBL at the Online Educa Berlin exhibition, in Berlin, Germany, Dec 2015.
• Round table organised by CTI in the conference “Collaborative design of resources, social creativity and communities of practice”, in Thessaloniki, Greece, Dec 2015.
• Presentation “Numbers of the plane and space” by UCBL at INSA Conference, Lyon, France, Jan 2016.

• The Project's brochure