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A model of mathematical giftedness: Integrating natural, creative, and mathematical abilities
(2011)
The present study aims to examine the structure and relationships among the components of mathematical giftedness and to identify groups of students that differ across these components. The proposed model is innovative in ...
Spatial versus object visualisation: The case of mathematical understanding in three-dimensional arrays of cubes and nets
(2010)
This paper investigates the relations of students' spatial and object visualisation with their analytic, creative and practical abilities in three-dimensional geometry. Fifty-three 11-year-olds were tested using a Greek ...
Coding and decoding representations of 3D shapes
(2013)
The aim of this study is to examine students’ ability in interpreting and constructing plane representations of 3D shapes, and to trace categories of students that reflect different types of behaviour in representing 3D ...
Reflective, systemic and analytic thinking in real numbers
(2012)
The aim of this paper is to propose a theoretical model to analyze prospective teachers' reasoning and knowledge of real numbers, and to provide an empirical verification of it. The model is based on Sierpinska's theory ...
Types of reasoning in 3D geometry thinking and their relation with spatial ability
(2010)
The aim of this study is to describe and analyse the structure of 3D geometry thinking by identifying different types of reasoning and to examine their relation with spatial ability. To achieve this goal, two tests were ...
Mathematical Creativity: Product, Person, Process and Press
(Springer International Publishing, 2018)
In this chapter we provide an overview of the state-of-the-art in mathematical creativity. To do so, we will use as a road map the 4Ps theory proposed by Rhodes in which four strands are used to capture the definition of ...
Developing and Enhancing Elementary School Students' Higher Order Mathematical Thinking with SimCalc
(Springer, 2013)
A fundamental question regarding the use of technology in mathematics education is the way in which technology supports and promotes higher order thinking in mathematics. In this chapter, we try to describe and analyze the ...
Characteristics of the creative person in mathematics.
(Nova Science Publishers, 2016)
Number teaching and learning
(Springer, 2019)