Browsing by Author "Elia, Iliada"
Now showing items 120 of 45

Article
Affective and cognitive factors on the use of representations in the learning of fractions and decimals
Panaoura, Areti; Gagatsis, Athanasios; Deliyianni, Eleni; Elia, Iliada (2009)

Article
Are registers of representations and problem solving processes on functions compartmentalized in students' thinking?
Gagatsis, Athanasios; Elia, Iliada; Mousoulides,Nicholas G. (2006)The purpose of the present study is twofold: first, to review and summarize previous research on the compartmentalization of different registers of representations and problem solving approaches related to the concept of ...

Article
Behind the scenes of pseudoproportionality
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 pseudoproportionality
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
A comparison between the hierarchical clustering of variables, implicative statistical analysis and confirmatory factor analysis
Elia, Iliada; Gagatsis, Athanasios (2008)This study aims to gain insight about the distinct features and advantages of three statistical methods, namely the hierarchical clustering of variables, the implicative method and the Confirmatory Factor Analysis, by ...

Article
A composite model of students' geometrical figure understanding
Deliyianni, Eleni; Michael, P.; Monoyiou, Annita; Gagatsis, Athanasios; Elia, Iliada (2011)

Article
Developing a framework for the evaluation of picturebooks that support kindergartners' learning of mathematics
van den Heuvel  Panhuizen, Marja; Elia, Iliada (2012)The purpose of this study was to investigate what experts in the use of picturebooks in mathematics education consider powerful characteristics of such books in the support of young children's learning of mathematics. The ...

Article
Early Childhood Mathematics Education
Elia, Iliada; van den Heuvel  Panhuizen, Marja (Springer Science+Business Media, 2014)Marja Van den HeuvelPanhuizen Email: m.vandenheuvelpanhuizen@uu.nl Email: m.vandenheuvel@fi.uu.nl Iliada Elia Email: elia.iliada@ucy.ac.cy Email: iliadaelia@gmail.com Keywords Early childhood, Mathematics education, ...

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 ...

Article
The effects of different modes of representation on problem solving: Two experimental programs
Elia, Iliada; Gagatsis, Athanasios (2006)This paper explores the effects of two experimental programs on the development of arithmetic problem solving (APS) ability by 69 yearold pupils. The programs stimulated flexible interpretation and use of a plurality of ...

Article
The effects of different modes of representation on the solution of onestep additive problems
Elia, Iliada; Gagatsis, Athanasios; Demetriou, Andreas P. (2007)This study investigated the role of different modes of representation, i.e., verbal description, decorative pictures, informational pictures and number line, in solving additive change problems. Data were collected from ...

Article
Effects of reading picture books on kindergartners’ mathematics performance
van den Heuvel  Panhuizen, Marja; Elia, Iliada; Robitzsch, A. (2016)This article describes a field experiment with a pretest–posttest control group design which investigated the potential of reading picture books to children for supporting their mathematical understanding. The study involved ...

Article
An empirical fourdimensional model for the understanding of function
Gagatsis, Athanasios; Elia, Iliada; Panaoura, Areti; Gravvani, Katerina; Spyrou, Panayiotis (2006)Based on a synthesis of the relevant literature, this study explores students’ abilities in four aspects of the understanding of function: problem solving, concept definition, examples of function, recognizing functions ...

Article
Exploring different aspects of the understanding of function: Toward a fourfacet model
Elia, Iliada; Panaoura, Areti; Gagatsis, Athanasios; Gravvani, Katerina; Spyrou, Panayiotis (2008)Based on a synthesis of the relevant literature, this study explored students’ display of behavior in four aspects of the understanding of function: effectiveness in solving a word problem, concept definition, examples of ...

Article
Exploring strategy use and strategy flexibility in nonroutine problem solving by primary school high achievers in mathematics
Elia, Iliada; van den Heuvel  Panhuizen, Marja; Kolovou, A. (2009)Many researchers have investigated flexibility of strategies in various mathematical domains. This study investigates strategy use and strategy flexibility, as well as their relations with performance in nonroutine problem ...

Article
Fostering representational flexibility in the mathematical working space of rational numbers
Gagatsis, Athanasios; Deliyianni, Eleni; Elia, Iliada; Panaoura, Areti; MichaelChrysanthou, Paraskevi (2016)The study focuses on the cognitive level of Mathematical Working Space (MWS) and the component of the epistemological level related to semiotic representations in two mathematical domains of rational numbers: fraction and ...

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
Geometric and algebraic approaches in the concept of "limit" and the impact of the "didactic contract"
Elia, Iliada; Gagatsis, Athanasios; Panaoura, Areti; Zachariades, Theodosis; Zoulinaki, Fotini (2009)The present study explores students’ abilities in conversions between geometric and algebraic representations, in problem solving situations involving the concept of “limit” and the interrelation of these abilities with ...

Article
Geometric and algebraic approaches in the concept of complex numbers
Panaoura, Areti; Elia, Iliada; Gagatsis, Athanasios; Giatilis, G. P. (2006)This study explores pupils’ performance and processes in tasks involving equations and inequalities of complex numbers requiring conversions from a geometric representation to an algebraic representation and conversions ...

Article
Gesture in a kindergarten mathematics classroom
Elia, Iliada; Evangelou, Kyriacoulla (2014)Recent studies have advocated that mathematical meaning is mediated by gestures. This case study explores the gestures kindergarten children produce when learning spatial concepts in a mathematics classroom setting. Based ...