• Article  

      Behind the scenes of pseudo-proportionality 

      Modestou, Modestina; Elia, Iliada; Gagatsis, Athanasios; Spanoudis,George C. (2008)
      In this study, we attempt to put in question students' spontaneous and uncritical application of the simple and neat mathematical formula of linearity. This is impelled with the help of a written test involving geometrical ...
    • Article  

      Behind the scenes of pseudo-proportionality 

      Modestou, Modestina; Elia, Iliada; Gagatsis, Athanasios; Spanoudis, George C. (2008)
      In this study, we attempt to put in question students’ spontaneous and uncritical application of the simple and neat mathematical formula of linearity. This is impelled with the help of a written test involving geometrical ...
    • Article  

      Can the spontaneous and uncritical application of the linear model be questioned? 

      Modestou, Modestina; Gagatsis, Athanasios (2006)
      In this research paper we attempt to put in question students’ spontaneous and uncritical application of the simple and neat mathematical formula of linearity. This is impelled with the help of a written test, where students ...
    • Article  

      Cognitive and Metacognitive Aspects of Proportional Reasoning 

      Modestou, Modestina; Gagatsis, Athanasios (2010)
      In this study we attempt to propose a new model of proportional reasoning based both on bibliographical and research data. This is impelled with the help of three written tests involving analogical, proportional, and ...
    • Article  

      A didactical situation for the enhancement of meta-analogical awareness 

      Modestou, Modestina; Gagatsis, Athanasios (2013)
      The aim of this study was to propose a didactical situation for the confrontation of the epistemological obstacle of linearity (routine proportionality) and consequently for the enhancement of meta-analogical awareness. ...
    • Article  

      Improper proportional reasoning: A comparative study in high school 

      Kontoyianni, Katerina; Modestou, Modestina; Erodotou, M.; Ioannou, P.; Constantinides, Aristotle; Parisinos, M.; Gagatsis, Athanasios (2006)
    • Conference Object  

      Proceedings of ICME-10 - Topic study group 2 : New developments and trends in secondary mathematics education. 

      Verschaffel, L.; Anastasiadou, S.; Baldin, Y. Y.; Bao, J.; Cheung, K.; Cruz, J. A. G.; De Bock, D.; Drijvers, P.; Gagatsis, Athanasios; Glanfield, F.; Hessels, A.; Inprasitha, M.; Isoda, M.; Janssens, D.; Khait, A.; Lerman, S.; Malagutti, P. L. A.; Modestou, Modestina; Salvador, J. A.; Simmt, E.; Tarp, A.; Turner, R.; Van Dooren, W.; Xu, G. R. (2004)
    • Article  

      Students' improper proportional reasoning: A result of the epistemological obstacle of "linearity" 

      Modestou, Modestina; Gagatsis, Athanasios (2007)
      The aim of the present study is to provide further evidence that the errors that arise from improper application of the linear model are not random and not easy to overcome. Using three different types of test, we attempt ...
    • Article  

      Students' improper proportional reasoning: The case of area and volume of rectangular figures 

      Modestou, Modestina; Gagatsis, Athanasios; Pitta-Pantazi, Demetra (2004)
      In this paper, we investigate the predominance of the linear model in 12-13 year old Cypriot students, while solving non-proportional word problems involving area and volume of rectangular figures. Using three different ...