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Direct linkDeliyianni, 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
Panaoura, Areti; Gagatsis, Athanasios; Deliyianni, Eleni; Elia, Iliada – Educational Psychology, 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 fraction addition. In the present paper, we confirm a similar structure of cognitive and affective factors on using…
Descriptors: Arithmetic, Self Efficacy, Beliefs, Problem Solving
Elia, Iliada; Gagatsis, Athanasios; Demetriou, Andreas – Learning and Instruction, 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 1447 students in Grades 1, 2, and 3. Structural equations modelling affirmed the existence of four first-order…
Descriptors: Rating Scales, Grade 1, Mathematics Instruction, Problem Solving
Download full textMichaelidou, 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, & Goldin, 2003). In this study the term representation is interpreted as the tool used for representing mathematical ideas such…
Descriptors: Grade 6, Numbers, Mathematical Concepts, Arithmetic
