Publications

Research Team Publications

Buteau, C., Gueudet, G., Muller, E., Mgombelo, J., & Sacristán, A. (in press). University Students Turning Computer Programming into an Instrument for ‘Authentic’ Mathematical Work. International Journal of Mathematical Education in Science and Technology.
Buteau, C., Muller, E., Mgombelo, J., & Sacristán, A.I. (2019). Stages of students’ instrumental genesis of programming for mathematical investigations. In M. Graven, H. Venkat, A. Essien & P. Vale (Eds), Proceedings of the 43rd Conference of the International Group for the Psychology of Mathematics Education (Vol 4, p. 127). Pretoria, South Africa: PME.
Buteau, C., Sacristán, A.I., & Muller, E. (2019). Roles and Demands in Constructionist Teaching of Computational Thinking in University Mathematics. Constructivist Foundations 14(3): 294-309.
Forbes, W.A., Mgombelo, J., Gannon, S., & Buteau, C. (2019). Undergraduate students’ mindsets in a computer programming mathematical learning environment. Proceedings of Congress of the European Society for Research in Mathematics Education, Utrecht (Netherlands), February 2019.
Buteau, C., Muller, E., Dreise, K., Mgombelo, J., & Sacristán, A.I. (2019). Students’ Process and Strategies as They Program for Mathematical Investigations and Applications. Proceedings of Congress of the European Society for Research in Mathematics Education, Utrecht (Netherlands), February 2019.
Toor, A., Mgombelo, J., & Buteau, C. (2019). Undergraduate students’ enactment of identity in programming and mathematics learning environment. Proceedings of Congress of the European Society for Research in Mathematics Education, Utrecht (Netherlands), February 2019.
Buteau, C., Muller, E., Mgombelo, J., Rafiepour, A., & Sacristán, A.I. (2018). Features of ‘Authentic’ Programming-based Mathematical Tasks. Proceedings of Mathematics Education in the Digital Age, Copenhagen (Denmark), September 2018.
Buteau, C., Muller, E., Sacristán, A.I., & Mgombelo, J. (2019). Pensée Informatique en enseignement des mathématiques post-secondaires : un cadre théorique. Proceedings of Espace mathématique francophone 2018, Paris-Genevilliers (France), October 2018.
Buteau, C., Sacristán, A.I., & Muller, E. (2018). Teaching in a Sustained Post-Secondary Constructionist Implementation of Computational Thinking for Mathematics. Proceedings of Constructionism 2018, Vilnius (Lithuania), August 2018.
Gannon, S. (2018). Under graduate Students’ Sense of Empowerment in Programming-Based Mathematical Explorations. Proceedings of Canadian Mathematics Education Study Group, Squamish (Canada), June 2018.
Buteau, C, Muller, E., Mgombelo, J., & Sacristán, A. (2018). Computational Thinking in University Mathematics Education: A Theoretical Framework. Proceedings of Research in Undergraduate Mathematics Education conference, San Diego (USA), February 2018.
Buteau, C., Muller, E, Marshall, N, Sacristán, A.I., & Mgombelo, J. (2016): Undergraduate mathematics students appropriating programming as a tool for modelling, simulation, and visualization: A case study. Digital Experience in Mathematics Education, 25pp, DOI: 10.1007/s40751-016-0017-5.

Research Members Related Publications

Mamolo, A., Buteau, C., & Muller, E. (forth.). Prospective mathematics and sciences teachers’ views on coding and computational thinking. American Educational Research Association (AERA) Annual Meeting, Toronto, ON, April 2019.
Gannon, S., with Buteau, C. (2018). Integration of Computational Thinking in Canadian Provinces. In Online Proceedings of the Computational Thinking in Mathematics Education Symposium, UOIT (Scarborough), October 2017.
Broley, L., Buteau, C., & Muller, E. (2017). (Legitimate peripheral) computational thinking in mathematics. Proceedings of the Congress of European Society for Research in Mathematics Education (CERME), Dublin (Ireland), February 2017.
Buteau, C., Gadanidis, G., Lovric, M., & Muller, E. (2017). Computational Thinking and Mathematics Curricula/La pensée computationnelle et le programme de mathématiques. Proceedings of the Canadian Mathematics Education Study Group (CMESG) 2016 Annual Conference, Kingston (Canada), June 2016, 119-135.
Buteau, C. & Muller, E. (forthcoming). Systemic integration of programming in undergraduate mathematics: from implementation to theory. International Congress on Mathematical Education 2016, Hamburg (Germany).
Buteau, C., & Muller, E. (2016). Assessment in Undergraduate Programming-Based Mathematics Courses. Digital Experiences in Mathematics Education, 3(2): 97-114. DOI 10.1007/s40751-016-0026-4.
Buteau, (2016). Undergraduates Learning of Programming for Simulation and Investigation of Mathematics Concepts and Real-World Modelling. Online proceedings of Didactics of Mathematics in Higher Education as a Scientific Discipline, Hannover (Germany), December 2015.
Buteau, C., Muller, E & Marshall, N. (2015). When a university mathematics department adopted course mathematics courses of unintentionally constructionist nature – really? Digital Experience in Mathematics Education,1(2-3), 133-155. DOI 10.1007/s40751-015-0009-x
Buteau, C., Muller, E., & Ralph, B (2015). Integration of Programming in the Undergraduate Mathematics Program at Brock University. In the Online Proceedings of Math+Coding Symposium, London (Ontario), June 2015.
Buteau, C., & Muller, E. (2014). Teaching Roles in a Technology Intensive Core Undergraduate Mathematics Course. In Clark-Wilson, O. Robutti, N. Sinclair (eds): The Mathematics Teacher in the Digital Era(pp. 163-185). Springer Netherlands.
Marshall, N. & C. Buteau (2014). Learning by designing and experimenting with interactive, dynamic mathematics exploratory objects. International Journal for Technology in Mathematics Education, 21 (2), 49-64.
Gueudet, G., Misfeld, M., Mesa, V., & C. Buteau (2014): Technologies, resources and instruments in university mathematics education. Research of Mathematics Education, Special Issue: Institutional, sociocultural and discursive approaches to research in university mathematics education, 16 (2), 139-155.
Marshall, N., Buteau, C. & Muller, E. (2014). Exploratory Objects and Microworlds in University Mathematics Education. Teaching Mathematics and its Applications, 33, 27-38. DOI: 10.1093/teamat/hru004
Buteau, C., Marshall, N., & Muller, E. (2014). Learning university mathematics by creating and using fourteen ‘microworlds’. In G. Futschek & C. Kynigos (Eds.), Constructionism and Creativity. Proceedings of the 3rd International Constructionism Conference 2014 (pp. 401-406). Vienna, Austria: Österreichische Computer Gesellschaft (OCG).
Buteau, C., Marshall, N., & Muller, E. (2014). Perception on the Nature of Core University Mathematics Microworld-Based Courses. In G. Futschek & C. Kynigos (Eds.), Constructionism and Creativity. Proceedings of the 3rd International Constructionism Conference 2014 (pp. 379-389). Vienna, Austria: Österreichische Computer Gesellschaft (OCG).
Buteau, C., Muller, E., & Marshall, N. (2014). Competencies Developed by University Students in Microworld-type Core Mathematics Courses. In Proceedings of Joint Meeting Int. Group Psychology Mathematics Education (PME 38), Vancouver, Canada, 2014, pp. 209-18.
Martinovic, D., E. Muller & Buteau, C. (2013). Intelligent partnership with technology: Moving from a math school curriculum to an undergraduate program. In Computers in the Schools, 30:1-2, pp.76-101. DOI: 10.1080/07380569.2013.768502
Marshall, N., Buteau, C. & E. Muller (2013): Exploratory Objects and Microworlds in University Mathematics Education. In Proceedings of the 11th International Conference on Technology in Mathematics Teaching, Bari (Italy), 187-193.
Mgombelo, J. & Buteau, C. (2012): Learning Mathematics for Teaching Through Designing, Implementing, and Testing Learning Objects. Issues in the Undergraduate Mathematics Preparation of School Teachers: The Journal, Vol 3. 16pp.
Muller, E., & C.Buteau (2012). An Innovative Integration of Evolving Technologies in Undergraduate Mathematics Education. In Essays on Mathematics and Statistics, Vol. 2, Akis, V. (Ed.), Athens Institute for Education and Research (publisher), 117-122.
Buteau, C. & E. Muller (2010): Student Development Process of Designing and Implementing Exploratory and Learning Objects. In Proceedings of the Sixth Conference of European Research in Mathematics Education  Lyon, France – Jan. 28th – Feb. 1, 2009, 1111-1120.
Mgombelo, J. & Buteau, C. (2010): Mathematics Teacher Education Research and Practice: Researching Inside the MICA Program. In Proceedings of the Sixth Conference of European Research in Mathematics Education (CERME 6),  Lyon (France), 2009, 1901-1910.
Muller, E., Buteau, C., Ralph, B., Mgombelo, J. (2009): Learning mathematics through the design and implementation of Exploratory and Learning Objects. In International Journal for Technology in Mathematics Education , 16 (2), pp. 63-74.
Mgombelo, J. & Buteau, C. (2009): Prospective Secondary Mathematics Teachers Repositioning by Designing, Implementing and Testing Learning Objects: A Conceptual Framework. In International Journal of Mathematical Education in Science and Technology, 40 (8), 1051-1068. DOI: 10.1080/00207390903236459
Buteau, C. & Muller, E. (2006). Evolving technologies integrated into undergraduate mathematics education. In L. H. Son, N. Sinclair, J. B. Lagrange, & C. Hoyles (Eds.), Proceedings for the Seventeenth ICMI Study Conference: Digital Technologies and Mathematics Teaching and Learning: Revisiting the Terrain, Hanoi University of Technology, 3rd-8th December, 2006, Hanoi (Vietnam) (c42)[CD-ROM], 8 pp.
Muller, E. and C. Buteau (2006): Un nouveau rôle de l’informatique dans la formation initiale des enseignants. In Bednarz, N., Mary, C. (Eds.), “L’enseignement des mathématiques face aux défis de l’école et des communautés”, Actes du colloque EMF 2006, Sherbrooke: Éditions du CRP [CD-ROM], 17 pp.

Related Literature

Abrahamson, D., Berland, M., Shapiro, B., Unterman, J., & Wilensky, U. (2004). Leveraging epistemological diversity through computer-based argumentation in the domain of probability. For the Learning of Mathematics, 26(3), 19-45.
Artigue, M. (2002). Learning mathematics in a CAS environment: The genesis of a reflection about instrumentation and the dialectics between technical and conceptual work. International Journal of Computers for Mathematical Learning, 7(3), 245-274.
Assude, T. (2007). Teachers’ practices and degree of ICT integration. In D. Pitta-Pantazi & G. N. Philippou (Eds.), Proceedings of the fifth congress of the European Society for Research in Mathematics Education (pp. 1339-1348). Larnaka, Cyprus: Department of Education, University of Cyprus.
Bocconi, S., Chioccariello, A., Dettori, G., Ferrari, A., & Engelhardt, K. (2016). Developing computational thinking in compulsory education: Implications for policy and practice. EU Science Hub. Retrieved from https://ec.europa.eu/jrc/en/printpdf/175911
Brennan, K., & Resnick, M. (2012). New frameworks for studying and assessing the development of computational thinking. Proceedings of the American Educational Research Association (AERA) annual conference. Retrieved from http://web.media.mit.edu/~kbrennan/files/Brennan_Resnick_AERA2012_CT.pdf
Cook, L. S., Smagorinsky, P., Fry, P. G., Konopak, B., & Moore, C. (2002). Problems in developing a constructivist approach to teaching: One teacher’s transition from teacher preparation to teaching. The Elementary School Journal, 102(5), 389-413.
European Mathematical Society. (2011). Position paper on the European Commission’s contributions to European research. Retrieved from http://ec.europa.eu/research/horizon2020/pdf/contributions/post/european_organisations/european_mathematical_society.pdf
Feurzeig, W., & Lukas, G. (1972). LOGO—A programming language for teaching mathematics. Educational Technology, 12(3), 39-46.
Goos, M., & Soury-Lavergne, S. (2010). Teachers and teaching: Theoretical perspectives and classroom implementation. In C. Hoyles & J.-B. Lagrange (Eds.), ICMI Study 17, technology revisited, ICMI study series (pp. 311-328). New York, NY: Springer.
Grover, S., & Pea, R. (2013). Computational thinking in K-12: A review of the state of the field. Educational Researcher, 42(1), 38-43. doi:10.3102/0013189X12463051
Guin, D., & Trouche, L. (1999). The complex process of converting tools into mathematical instruments. The case of calculators. International Journal of Computers for Mathematical Learning, 3(3), 195-227.
Hoadley, C. (2012). What is a community of practice and how can we support it? In D. H. Jonassen & S. M. Land (Eds.), Theoretical foundations of learning environments (2^nd Ed.)(287-300) New York: Routledge.
Kafai, Y. B., & Resnick, M. (1996). Constructionism in practice: Designing, thinking, and learning in a digital world. Mahwah, NJ: Erlbaum, Routledge.
Lave, J., & Wenger, E. (1991). Situated learning: Legitimate peripheral participation. New York, NY: Cambridge University Press.
Leron, U., & Dubinsky, E. (1995). An abstract algebra story. American Mathematical Monthly, 102(3), 227-242.
Noss, R., & Hoyles, C. (1996). Windows on mathematical meanings: Learning cultures and computers (Vol. 17). Dordrecht, Netherlands: Kluwer.
Papert, S., & Harel, I. (1991). Situating constructionisn. In S. Papert & I. Harel (Eds.), Constructionism (pp. 1-12). Norwood, NJ: Ablex.
Papert, S. (1971). Teaching children to be mathematicians vs. teaching about mathematics. Artificial Intelligence Memo No. 249. Retrieved from http://hdl.handle.net/1721.1/5837
Papert, S. (1980a). Mindstorms: Children, computers, and powerful ideas. New York, NY: Basic Books.
Papert, S. (1980b). Computer-based microworlds as incubators for powerful ideas. In R. Taylor (Ed.), The computer in the school: tutor, tool, tutee (pp. 203–210). New York: Teacher’s College Press.
President’s Information Technology Advisory Committee. (2005). Computational science: Ensuring America’s competitiveness. Retrieved from https://www.nitrd.gov/pitac/reports/20050609_computational/computational.pdf
Rabardel, P. (1995/2002). Les hommes et les technologies; approche cognitives des instruments contemporains. Paris, France: Armand Colin.
Trouche, L., & Drijvers, P. (2010). Handheld technology for mathematics education: Flashback into the future. ZDM: The International Journal on Mathematics Education, 42, 667-681. doi:10.1007/s11858-010-0269-2
Trouche, L. (2004). Managing complexity of human/machine interactions in computerized learning environments: Guiding students’ command process through instrumental orchestrations. International Journal of Computers for Mathematical Learning, 9, 281-307. doi:10.1007/s10758- 004-3468-5
Weintrop, D., Beheshti, E., Horn, M., Orton, K., Jona, K., Trouille, L., & Wilensky, U. (2016). Defining computational thinking for mathematics and science classrooms. Journal for Science Education and Technology, 25, 127-147.
Wilensky, U. (1995). Paradox, programming and learning probability. Journal of Mathematical Behavior, 14(2), 231-280.
Wing, J. M. (2008). Computational thinking and thinking about computing. Philosophical Transactions of the Royal Society A, 366(1881), 3717-3725.
Wing, J. M. (2014, January 9). Computational thinking benefits society. Social Issues in Computing, 40th Anniversary Blog, University of Toronto. Retrieved from http://socialissues.cs.toronto.edu/index.html%3Fp=279.html