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How Students Conceive Function: a Triarchic Conceptual-Semiotic Model of the Understanding of a Complex Concept
(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 ...
The Functions of Pictures in Problem Solving
(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 ...
Behind the scenes of pseudo-proportionalityInternational 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 ...
The effects of different modes of representation on problem solving: Two experimental programs
(2006)
This paper explores the effects of two experimental programs on the development of arithmetic problem solving (APS) ability by 6-9 year-old pupils. The programs stimulated flexible interpretation and use of a plurality of ...
La magie et le pouvoir de l'image pour les petits enfants: application dans la resolution des problemes du type additif
(Centre for Experimental Educational Research, 2006)
Using diagrams as tools for the solution of non-routine mathematical problems
(2009)
The Mathematics education community has long recognized the importance of diagrams in the solution of mathematical problems. Particularly, it is stated that diagrams facilitate the solution of mathematical problems because ...
Geometric and algebraic approaches in the concept of "limit" and the impact of the "didactic contract"
(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 ...
University students' conceptions of function
(2004)
“Function”, as it is understood today, formulates one of the most important concepts of mathematics. Nevertheless, many students do not sufficiently understand the abstract but comprehensive meaning of function and problems ...
An empirical four-dimensional model for the understanding of function
(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 ...