Stimulating pre-service teachers’ content and pedagogical content knowledge on rational numbers
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DOI: 10.1007/s10649-018-9822-7
Abstract: The transition from natural to rational numbers is difficult for most elementary school children. A major cause for these difficulties is assumed to be the “conceptual change” they need to undergo in order to see… read more here.
Keywords: content knowledge; pedagogical content; knowledge; rational numbers ... See more keywords
Praxeological Change and the Density of Rational Numbers: The Case of Pre-service Teachers in Denmark and Indonesia
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DOI: 10.29333/ejmste/105867
Abstract: The present study aims to introduce the notion of praxeological change, developed based on the Anthropological Theory of the Didactic, to describe a necessity of changing mathematical praxeologies when passing from natural to rational numbers.… read more here.
Keywords: pre service; density rational; rational numbers; praxeological change ... See more keywords
Divisibility Networks of the Rational Numbers in the Unit Interval
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DOI: 10.3390/sym12111879
Abstract: Divisibility networks of natural numbers present a scale-free distribution as many other process in real life due to human interventions. This was quite unexpected since it is hard to find patterns concerning anything related with… read more here.
Keywords: unit interval; divisibility; rational numbers; numbers unit ... See more keywords
A characterization of the product of the rational numbers and complete Erdős space
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DOI: 10.4153/s0008439522000091
Abstract: Erdős space $\mathfrak{E}$ and complete Erdős space $\mathfrak{E}_c$ have been previously shown to have topological characterizations. In this paper, we provide a topological characterization of the topological space $\mathbb{Q}\times\mathfrak{E}_c$, where $\mathbb{Q}$ is the space of… read more here.
Keywords: rational numbers; complete erd; erd space; mathbb times ... See more keywords