• Article  

      Assessing Student Problem-Solving Skills 

      Kyriakides, Leonidas; Gagatsis, Athanasios (Structural Equation Modeling: A Multidisciplinary Journal, 2003)
      This study examines the construct validity of the Mathematical Patterns Test using data from 848 Cypriot primary school students. Descriptive analyses across 5 age groups suggested a developmental structure of individual ...
    • Report  

      The Effects of Different Modes of Representation on Mathematical Problem Solving 

      Gagatsis, Athanasios; Elia, Iliada (International Group for the Psychology of Mathematics Education, 2004)
      The main objective of this study is to investigate the role of four different modes of representation in mathematical problem solving (MPS), and more specifically to develop a model, which provides information about the ...
    • Conference Object  

      Elementary School Students' Mental Representation of Fractions 

      Pitta-Pantazi, Demetra; Gray, Eddie M.; Christou, Constantinos (International Group for the Psychology of Mathematics Education, 2004)
      Based on psychological approaches that evoke mental representations through verbal and visual cues, this paper investigates the different kinds of mental representations projected by 8 to 11 year old children of identified ...
    • Article  

      The Functions of Pictures in Problem Solving 

      Elia, Iliada; Philippou, George N. (International Group for the Psychology of Mathematics Education, 2004)
      In the present study, we assert that pictures serve four functions in problem solving: decorative, representational, organizational and informational. We, therefore, investigate the effects of pictures based on their ...
    • Article  

      A Modeling Perspective on the Teaching and Learning of Mathematical Problem Solving 

      Mousoulides,Nicholas G.; Christou, Constantinos; Sriraman, Bharath (Mathematical Thinking and Learning: An International Journal, 2008)
      This study analyzed the processes used by students when engaged in modeling activities and examined how students' abilities to solve modeling problems changed over time. Two student populations, one experimental and one ...
    • Report  

      The Number Line as a Representation of Decimal Numbers: A Research with Sixth Grade Students 

      Michaelidou, Niki; Gagatsis, Athanasios; Pitta-Pantazi, Demetra (International Group for the Psychology of Mathematics Education, 2004)
      One of the aims of mathematics instruction is to achieve the understanding of mathematical concepts through the development of rich and well organized cognitive representations (Goldin, 1998; NCTM, 2000; DeWindt-King, & ...
    • Conference Object  

      The Use of Diagrams in Solving Non Routine Problems 

      Pantziara, Marilena; Gagatsis, Athanasios; Pitta-Pantazi, Demetra (International Group for the Psychology of Mathematics Education, 2004)
      This paper explores the role of diagrams in a specific problem solving process. Two types of tests were administered to 194, 12 year old students, each of which consisted of six non-routine problems that could be solved ...