A comparison between strategies applied by mathematicians and mathematics teachers to solve a problem

Conference object English OPEN
Guerrero-Ortiz, Carolina; Mena-Lorca, Jaime;
  • Publisher: HAL CCSD
  • Subject: [ MATH.MATH-HO ] Mathematics [math]/History and Overview [math.HO] | [MATH.MATH-HO]Mathematics [math]/History and Overview [math.HO] | [SHS.EDU]Humanities and Social Sciences/Education | representations | Modelling | mathematics teachers | paths of modelling | [ SHS.EDU ] Humanities and Social Sciences/Education

International audience; This study analyses the results obtained from comparing the paths shown by expert mathematicians on the one hand and mathematics teachers on the other, when addressing a hypothetical problem that requires the construction of a mathematical model.... View more
  • References (13)
    13 references, page 1 of 2

    Aspinwall, L., Kenneth L., & Presmeg, N. (1997). Uncontrollable Mental Imagery: Graphical Connections between a Function and Its Derivative. Educational Studies in Mathematics, 33 (3), 301-317.

    Blum, W., & Borromeo-Ferri, R. (2009). Mathematical Modelling: Can It Be Taught And Learnt? Journal of Mathematical Modelling and Application, 1(1), 45-58.

    Borromeo-Ferri, R. (2006). Theoretical and empirical diefrenti - ations of phases in the modelling process. Zentralblatt für Didaktik der Mathematik, 38(2), 86-95.

    Borromeo-Ferri, R. (2007). Modelling from a cognitive perspective: Individual modelling routes of pupils. In C. Haines, P. Galbraith, W. Blum, & S. Khan (Eds.), Mathematical modelling (ICTMA 12): education, engineering and economics (pp. 260-270). Chichester: Horwood.

    Borromeo-Ferri, R. (2010). On the influence of mathematical thinking styles on learners' modelling behaviour. Journal für Mathematik Didaktik, 31(1), 99-118.

    Borromeo-Ferri, R. (2012). Mathematical thinking styles and their influence on teaching and learning mathematics . In 12th International Congress on Mathematical Education, July 8-15, 2012, COEX, Seoul, Korea.

    Bransford, J., Brown, A., & Cocking, R. (Eds.) (2000). How People Learn: Brain, Mind, Experience, and School. In Expanded Edition. Committee on Developments in the Science of Learning with additional material from the Committee on Learning Research and Educational Practice, National Research Council. Washington, D.C. National Academies Press. Downloaded from http://www.nap.edu/catalog/9853. html

    Crouch, R., & Haines, C. (2004). Mathematical modelling: transitions between the real world and the mathematical model. International Journal of Mathematical Education in Science and Technology, 35(2), 197-206

    Crouch, R., & Haines, C. (2007). Exemplar models: expert-novice student behaviors. In C. Haines, P. Galbraith, W. Blum, & S. Khan (Eds.), Mathematical modelling (ICTMA 12): Education, engineering and economics: Proceedings from the twelfth International Conference on the Teaching of Mathematical Modelling and Applications (pp. 90-100). Chichester: Horwood.

    Haines, C., & Crouch, R. (2010). Remarks on a Modeling Cycle and Interpreting Behaviors. In R. Lesh et al. (Eds.), Modeling Students' Mathematical Modeling Competencies (ICTMA 13) (pp. 145-154). New York: Springer.

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