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The most recent resurgence of philosophical attention to the so-called ‘functional talk’ in the sciences can be summarized in terms of the following questions: (Q1) What kind of restrictions, and in p...
Loop analysis is a method of qualitative modeling anticipated by Sewall Wright and systematically developed by Richard Levins. In Levins’ (1966) distinctions between modeling strategies, loop analysis...
All economic models involve abstractions and idealisations. Economic theory itself does not tell which idealizations are truly fatal or harmful for the result and which are not. This is why much of wh...
This paper presents a dichotomic analysis of the surprise examination paradox. In section 1, I analyse the surprise notion in detail. I introduce then in section 2, the distinction between a monist an...
This is a speculative exploration of the semiotics of mathematical text which draws upon diverse sources from philosophy, mythology and literary criticism. It represents an incomplete opening of a lin...
Skemp (1982) discusses two modes working mathematically, surface level/syntactic and deep level/semantic. Mathematics is presented and communicated with symbols and words; the symbol systems, in parti...
During most of their mathematics learning career from 5 to 16 years and beyond, learners work on textual or symbolically presented tasks. They carry these out, in the main, by writing a sequence of te...
Our paper comes from the work we did in the Association pour le développement du Génie Cognitif, Nice (GECO) and more precisely in a project named CESAME supported by the Institut Universitaire pour l...
This paper discusses the possible use of metaphor analysis in exploring adults’ images of mathematics. Based on reviews of past literature and the author’s own experience of using this kind of analysi...
Information is empowering. With electronic transmission of information, it is now possible for the general public to have ready access to knowledge previously limited to those designated as "expert" i...
This is an investigation into the errors made by pupils when solving simple linear equations. Data was collected from a final examination and analyzed with reference to recent literature. After findin...
Introduction The purpose of this research is to try to determine, through individual interview sessions, the reasoning behind the adoption of certain strategies by several pupils as they are engaged ...
School textbooks play an important role in mathematics education because of their close relation to the teaching and learning process (Valverde et al. 2002, Johansson 2003). Textbooks have a direct in...
Chemical analysis is envisaged as an exemplar of laboratory work. Matter, held at a distance within the probe of instruments, is converted there into electronic signals. Matter serves only as prime ma...
Chemical symbolism provides the linguistic representations for experimental research. It is based on an empirical set of formal (syntactic) rules that allows operations on formulas and reaction equati...

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