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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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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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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