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Perspektywy wykorzystania wyników badańnad przestrzennym komponentem reprezentacji liczb w edukacji

100%
Cipora K.
Annales Universitatis Paedagogicae Cracoviensis. Studia Psychologica
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2012
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vol. 5
54-66
EN
Spatial component of number representation has been broadly investigated during the past 20 years. Numerous studies in cognitive psychology and neuroscience indicate that number representations are automatically mapped in space. The aim of this paper is to discuss potential applications of spatial numerical associations in the domain of education. Theoretically, investigating spatial numerical associations may be useful for: (a) diagnostics of Math deficits, (b) assessment in Math education and (c) developing trainings and tools aimed at improving Math performance. Keeping recent results in mind, it seems that diagnostic power of spatial numerical associations is limited; nevertheless, possibilities of developing trainings of spatial mapping of numbers may be a fruitful area of application.
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Poznanie geometryczne z kognitywnego punktu widzenia

86%
Pogonowski J.
Zagadnienia Filozoficzne w Nauce
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2021
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issue 70
183-211
EN
This review discusses the content of Mateusz Hohol’s new book Foundations of Geometric Cognition. Mathematical cognition has until now focused mainly on human numerical abilities. Hohol’s work tackles geometric cognition, an issue that has not been described in previous investigations into mathematical cognition. The main strength of the book lies in its critical analysis of a huge amount of results from empirical experiments. The author formulates his theoretical proposals very carefully, avoiding radical and one-sided solutions. He claims that human geometric cognition is based mainly on two core systems, both being phylogenetically hardwired, namely the system of layout geometry and the system of object geometry. The interaction of these systems becomes amplified in the individual development of the mind, which, in turn, is supported by the use of language. The second part of the review contains the reviewer’s remarks concerning the history of geometry, experiments related to spatial representations, and the role of geometry in mathematical education.
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