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Elia, Iliada; Özel, Serkan; Gagatsis, Athanasios; Panaoura, Areti; Özel, Zeynep Ebrar Yetkiner – ZDM: The International Journal on Mathematics Education, 2016
This study investigates students' conceptions of absolute value (AV), their performance in various items on AV, their errors in these items and the relationships between students' conceptions and their performance and errors. The Mathematical Working Space (MWS) is used as a framework for studying students' mathematical work on AV and the…
Descriptors: Mathematical Concepts, Foreign Countries, Comparative Analysis, Surveys
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Deliyianni, Eleni; Gagatsis, Athanasios; Elia, Iliada; Panaoura, Areti – International Journal of Science and Mathematics Education, 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 Mathematics and also on previous research on the learning of fractions and decimals. The study was conducted among 1,701 primary…
Descriptors: Fractions, Problem Solving, Arithmetic, Numbers
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Modestou, Modestina; Elia, Iliada; Gagatsis, Athanasios; Spanoudis, Giorgos – International Journal of Mathematical Education in Science and Technology, 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 problems, which is based on an original experimental setting. In this setting, grade 9 and 10 students were instructed first…
Descriptors: Foreign Countries, Grade 9, Grade 10, Mathematical Concepts
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Panaoura, Areti; Michael-Chrysanthou, Paraskevi; Gagatsis, Athanasios; Elia, Iliada; Philippou, Andreas – International Journal of Science and Mathematics Education, 2017
This article focuses on exploring students' understanding of the concept of function concerning three main aspects: secondary students' ability to (1) define the concept of function and present examples of functions, (2) solve tasks which asked them to recognize and interpret the concept of function presented in different forms of representation,…
Descriptors: Secondary School Students, Mathematics Instruction, Mathematical Concepts, Concept Formation
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Panaoura, Areti; Gagatsis, Athanasios; Deliyianni, Eleni; Elia, Iliada – Educational Psychology, 2009
Cognitive development of any concept is related with affective development. The present study investigates students' beliefs about the use of different types of representation in understanding the concept of fractions and their self-efficacy beliefs about their ability to transfer information between different types of representation, in relation…
Descriptors: Secondary Education, Self Efficacy, Factor Analysis, Cognitive Development
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Elia, Iliada; Panaoura, Areti; Eracleous, Anastasia; Gagatsis, Athanasios – International Journal of Science and Mathematics Education, 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. A major concern is also to examine the interrelations between these three ways of thinking about or dealing with the concept…
Descriptors: Definitions, Problem Solving, Foreign Countries, Mathematics Instruction