Browsing by Author "Elia, Iliada"
Now showing items 21-40 of 52
-
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 ...
-
Book Chapter
Geometry Learning in the Early Years: Developing Understanding of Shapes and Space with a Focus on Visualization
Elia, Iliada; van den Heuvel-Panhuizen, Marja; Gagatsis, Athanasios (Springer, 2018)In this chapter, we address children’s geometry learning in the early years with a focus on visualization. We start the chapter with some background information about visualization in mathematics and geometry and its ...
-
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 ...
-
Article
How Students Conceive Function: a Triarchic Conceptual-Semiotic Model of the Understanding of a Complex Concept
Elia, Iliada; Spyrou, Panayiotis (Information Age Publishing, 2006)This study explores conceptions for function amongst 164-second year students of the Department of Education at the University of Cyprus and their relationship with students' abilities in dealing with tasks involving ...
-
Article
Kindergartners' performance in length measurement and the effect of picture book reading
van den Heuvel - Panhuizen, Marja; Elia, Iliada (2011)This paper addresses: firstly, kindergartners' performance in length measurement, the components of their performance and its growth over time; secondly, the possibility to develop kindergartners' performance in length ...
-
Article
Kindergartners’ performance in two types of imaginary perspective-taking
van den Heuvel - Panhuizen, Marja; Elia, Iliada; Robitzsch, A. (2015)This study aimed at gaining further understanding of kindergartners’ performance in imaginary perspective-taking (IPT) by examining whether they can imagine what is visible from a particular point of view (IPT type 1: ...
-
Article
A kindergartner’s use of gestures when solving a geometrical problem in different spaces of constructed representation
Elia, Iliada; Evangelou, Kyriacoulla; Hadjittoouli, K.; van den Heuvel - Panhuizen, Marja (2014)This study investigates a kindergartner’s gestures, from a cognitive point of view, in a geometrical activity of communicative character. The activity involves a shape configuration problem in two different types of space ...
-
Article
Levels of understanding of patterns in multiple representations
Michael, S.; Elia, Iliada; Gagatsis, Athanasios; Theoklitou, A.; Savva,Andreas (2006)
-
Article
La magie et le pouvoir de l'image pour les petits enfants: application dans la resolution des problemes du type additif
Elia, Iliada; Gagatsis, Athanasios; Gras, R. (Centre for Experimental Educational Research, 2006)
-
Article
Mathematical Working Spaces in schooling: an introduction
Kuzniak, Alain; Tanguay, D.; Elia, Iliada (2016)The theoretical and methodological model of Mathematical Working Space (MWS) is introduced in this paper. For over 10�years, the model has been the object of collaborative research among various researchers, generally ...
-
Article
A model on the cognitive and affective factors for the use of representations at the learning of decimals
Panaoura, Areti; Gagatsis, Athanasios; Deliyianni, Eleni; Elia, Iliada (2010)In a previous article of the same journal, we have discussed the interrelations of students' beliefs and self-efficacy beliefs for the use of representations and their respective cognitive performance on the learning of ...
-
Article
The Nature Of Multiple Representations In Developing Mathematical Relationships
Gagatsis, Athanasios; Elia, Iliada; Kyriakides, Leonidas (2003)This study focuses on the representations and translations of mathematical relationships that are emphasized and taught at school, and discusses two theoretical models that may explain the pattern and difficulties in ...
-
Book Chapter
Observing the Use of Gestures in Young Children’s Geometric Thinking
Elia, Iliada (Springer International Publishing, 2018)This chapter addresses children’s geometry thinking and learning in early childhood with a focus on the use of gestures. The chapter begins with the theoretical frameworks which underlie this work and some background ...
-
Article
Pupils' visual representations in standard and problematic problem solving in mathematics: Their role in the breach of the didactical contract
Deliyianni, Eleni; Monoyiou, Annita; Elia, Iliada; Georgiou, C.; Zannettou, E. (2009)This study investigated the modes of representations generated by kindergarteners and first graders while solving standard and problematic problems in mathematics. Furthermore, it examined the influence of pupils' visual ...
-
Article
The relation between the perceived math ability and the feelings about mathematics and statistics
Anastasiadou, S.; Gagatsis, Athanasios; Elia, Iliada (Centre for Experimental Educational Research, 2005)
-
Article
Relations between secondary pupils' conceptions about functions and problem solving in different representations
Elia, Iliada; Panaoura, Areti; Eracleous, Anastasia; Gagatsis, Athanasios (2007)The present study explores pupils’ constructed definitions of the concept of function in relation to their abilities in dealing with tasks of functions involving different forms of representations and problem solving tasks. ...
-
Article
Representational Flexibility and Problem-Solving Ability in Fraction and Decimal Number Addition: A Structural Model
Deliyianni, Eleni; Gagatsis, Athanasios; Elia, Iliada; Panaoura, Areti (2016)The aim of this study was to propose and validate a structural model in fraction and decimal number addition, which is founded primarily on a synthesis of major theoretical approaches in the field of representations in ...
-
Book Chapter
Research in Early Childhood Mathematics Education Today
Elia, Iliada; Mulligan, Joanne; Anderson, Ann; Baccaglini-Frank, Anna; Benz, Christiane (Springer International Publishing, 2018)This edited book brings together a collection of research-based work from different contexts across the globe to contribute to improving knowledge and understanding of major issues that early childhood mathematics education ...