Mathematical Modeling and Applications in Mathematics Education

Handbooks, special collections, etc.

• Blum, W., Galbraith, P., Henn, H.-W., & Niss, M. (Eds.) (2007). Applications and modelling in mathematics education. The 14th ICMI study. New York: Springer.
• Borromeo Ferri, R. (2018). Learning How To Teach Mathematical Modeling – in School and Teacher Education. New York: Springer.
• Capraro, R., & Morgan, M. (2013). STEM Project-Based Learning : An Integrated Science, Technology, Engineering, and Mathematics (STEM) Approach. Rotterdam: Birkhäuser Boston.
• Honey, M., Pearson, G., Schweingruber, H. (Eds.) (2014). STEM Integration in K-12 Education: Status, Prospects, and an Agenda for Research. National Academies Press
• Garfunkel, S. et al. (2016). Guidelines for Assessment and Instruction in Mathematical Modeling Education (GAIMME). Boston/Philadelphia: Consortium for Mathematics and Its Applications (COMAP)/ Society for Industrial and Applied Mathematics (SIAM).
• Greefrath, Gilbert, Vorhölter, Katrin (2016). Teaching and Learning Mathematical Modelling Approaches and Developments from German Speaking Countries. Springer.
• Haines C, Galbraith P, Blum W and Khan S. (Eds.) (2007) Mathematical Modelling: Education, Engineering and Economics (ICTMA 12), Chichester: Horwood Publishing.
• Hirsch, C.R. & McDuffie, A. (Eds.) (2016) NCTM Annual Perspectives in Mathematics Education, Mathematical Modeling and Modeling Mathematics, USA: NCTM.
• Kaiser, G, Blum, W, Borromeo Ferri, R, and Stillman, G. (Eds.) (2011). Trends in Teaching and Learning of Mathematical Modelling. New York: , Springer.
• Lesh, R. & Doerr, H. (Eds.) (2003). Beyond Constructivism: A models and modeling perspective on mathematics problem solving, learning, and teaching. Mahwah: Lawrence Erlbaum Associates
• Lesh, R, Galbraith, PL, Haines, CR, and Hurford, A. (Eds.) (2010). Modeling Students' Mathematical Modeling Competencies: ICTMA13, New York: Springer..
• Meerschaert, M. (2013), Mathematica1 Mode1ing, 4th edition, New York: Academic Press.

Papers and chapters

• 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 - Intellectual and Attitudinal Challenges (pp. 73-96).. New York: Springer,
• Brown, J. (2012) The current status of STEM education research. Journal of STEM Education: Innovations and Research, 13(5), 7-11.
• Cai, J; Cirillo, M; Pelesko, J.; Borromeo Ferri, R.; Borba, M.; Geiger, V.; Stillman, G.; English, L.; Wake, G.; Kaiser, G. & Kwon, O. (2014). Mathematical Modelling in School Education: Mathematical, Cognitive, Curricular, Instructional, and Teacher Education Perspectives. In: Liljedahl, P., Nicol, C., Oesterle, S., & Allan, D. (Eds.). (2014). Proceedings of the Joint Meeting of PME 38 and PME -NA 36 (Vol.1) (pp. 145-172). . Vancouver, Canada: PME
• English, L. (2016). STEM education K-12: Perspectives on integration. International Journal of STEM Education, 3(1), 1-8.
• Galbraith, P. & Stillman, G. (2006). A Framework for Identifying Blockages during Transitions in the modelling process. In Kaiser, G., Sriraman B. & Blomhoj, M. (Eds.) Zentralblatt für Didaktik der Mathematik 38 (2), 143-162.
• Geiger, V. (2011). Factors Affecting Teachers’ Adopton of Innovative Practices with Technology and Mathematical Modeling. In Kaiser, G.; Blum, W.; Borromeo Ferri, R. & Stillman, G. (Eds.)  Trends in Teaching and Learning of Mathematical Modelling (pp. 305-314). New York: Springer.
• Greefrath, G. (2011). Using Technologies: New Possibilities of Teaching and Learning Modelling – Overview. In Kaiser, G.; Blum, W.; Borromeo Ferri, R. & Stillman, G. (Eds.)  Trends in Teaching and Learning of Mathematical Modelling (pp. 301-304). New York: Springer:
• Kaiser, G. & Sriraman, B. (2006). A global survey of international perspectives on modelling in mathematics education. ZDM – The International Journal on Mathematics Education 38(3), 302-310.
• Kaiser, G. & Schwarz, B. (2010). Authentic modelling problems in mathematics education – examples and experiences. Journal für Mathematikdidaktik, 31, (1-2), p.51.
• Shernoff, D., Sinha, S., Bressler, D., & Ginsburg, L. (2017). Assessing teacher education and professional development needs for the implementation of integrated approaches to STEM education. International Journal of STEM Education, 4(1), 1-16.
• Sias, C., Nadelson, L., Juth, S., & Seifert, A. (2017). The best laid plans: Educational innovation in elementary teacher generated integrated STEM lesson plans. The Journal of Educational Research, 110(3), 227-238.

Faculty publications

• Borromeo Ferri, R. (2006). Theoretical and empirical differentiations of phases in the modelling process. ZDM – The International Journal on Mathematics Education, 38 (2), 86-95.
• Borromeo Ferri, R. (2007). Modelling from a cognitive perspective: Individual modelling routes of pupils. In: Haines, C.; Galbraith, P.; Blum, W.; Khan, S. (Eds.) Mathematical Modelling. Education, engineering and economics (pp. 260-270). Chichester: Horwood Publishing.
• Borromeo Ferri, R. (2010). On the influence of mathematical thinking styles on learners' modelling behavior. Journal für Mathematikdidaktik, 31 (1), S. 99-118.
• Gould, H., & Wasserman, N. (2014). Striking a balance: Students’ tendencies to oversimplify or overcomplicate in mathematical modeling. Journal of Mathematics Education at Teachers College, 5(1), pp. 27-34.
• Lyublinskaya, I. (2009). Developing number sense with technology-based science experiments. Mathematics Teaching Research Journal Online. [On-line serial],1-14.  Available http://www.hostos.cuny.edu/departments/math/mtrj/
• Lyublinskaya, I. & Sheehan, S. (2018) Effect of collaboration between Makerspace, university and elementary school on student STEM attitudes: Bringing Maker movement to elementary school. In M. Epshteyn (Ed.) Business Community Engagement for Educational Initiatives. (pp. 78-98) Hershey, PA: IGI Global.
• Malkevitch, J. (1995). Graph Models. Arlington: COMAP.
• Pollak, Henry. (2003), A History of the Teaching of Modeling. In Stanic, George M. A., & Kilpatrick, Jeremy. (Eds.). A history of school mathematics (pp. 647-672). Reston, VA: National Council of Teachers of Mathematics.

A few TC dissertations

• Freeman, Andre. (2014). The impact of small-group mathematical modeling activities on students' understanding of linear and quadratic functions.
• Gould, Heather. (2013). Teachers' Conceptions of Mathematical Modeling
• Lege, Gerald Francis. (2003) A comparative case study of contrasting instructional approaches applied to the introduction of mathematical modeling

Members of the TSG

Rita Borromeo Ferri

Irina Lyublinskaya