232 research outputs found
Learning geometry in self-made tutorials: the impact of producing mathematical videos on emotions, motivation and achievement in mathematical learning
No full textBarton D. Learning geometry in self-made tutorials: the impact of producing mathematical videos on emotions, motivation and achievement in mathematical learning. In: Jankvist UT, van den Heuvel-Panhuizen M, Veldhuis M, Utrecht University and ERME, eds. Proceedings of the Eleventh Congress of the European Society for Research in Mathematics Education. Utrecht, the Netherlands: Freudenthal Group & Freudenthal Institute; 2019: 1401-1402
A Structure Theory of (-1,-1)-Freudenthal Kantor Triple Systems
No full textIn this paper we discuss the simplicity criteria of (-1, -1)-Freudenthal Kantor triple systems and give examples of such triple systems, from which we can construct some Lie superalgebras. We also show that we can associate a Jordan triple system to any (epsilon, delta)-Freudenthal Kantor triple system. Further, we introduce the notion of delta-structurable algebras and connect them to (-1, delta)-Freudenthal Kantor triple systems and the corresponding Lie (super)algebra construction
A Structure Theory of (-1,-1)-Freudenthal Kantor Triple Systems
No full textIn this paper we discuss the simplicity criteria of (-1, -1)-Freudenthal Kantor triple systems and give examples of such triple systems, from which we can construct some Lie superalgebras. We also show that we can associate a Jordan triple system to any (epsilon, delta)-Freudenthal Kantor triple system. Further, we introduce the notion of delta-structurable algebras and connect them to (-1, delta)-Freudenthal Kantor triple systems and the corresponding Lie (super)algebra construction
On constructions of Lie (super) algebras and (, Î)-Freudenthal-Kantor triple systems defined by bilinear forms
No full textIn this work, we discuss a classification of (,Î)-Freudenthal-Kantor triple systems defined by bilinear forms and give all examples of such triple systems. From these results, we may see a construction of some simple Lie algebras or superalgebras associated with their Freudenthal-Kantor triple systems. We also show that we can associate a complex structure into these (,Î)-Freudenthal-Kantor triple systems. Further, we introduce the concept of Dynkin diagrams associated to such (,Î)-Freudenthal-Kantor triple systems and the corresponding Lie (super) algebra construction
On constructions of Lie (super) algebras and (, Î)-Freudenthal-Kantor triple systems defined by bilinear forms
No full textIn this work, we discuss a classification of (,Î)-Freudenthal-Kantor triple systems defined by bilinear forms and give all examples of such triple systems. From these results, we may see a construction of some simple Lie algebras or superalgebras associated with their Freudenthal-Kantor triple systems. We also show that we can associate a complex structure into these (,Î)-Freudenthal-Kantor triple systems. Further, we introduce the concept of Dynkin diagrams associated to such (,Î)-Freudenthal-Kantor triple systems and the corresponding Lie (super) algebra construction
-Freudenthal Kantor triple systems, -structurable algebras and Lie superalgebras
No full textIn this paper we discuss -Freudenthal Kantor triple systems with certain structure on the subspace of the corresponding standard embedding five graded Lie (super)algebra . We recall Lie and Jordan structures associated with -Freudenthal Kantor triple systems (see ref [26],[27]) and we give results for unitary and pseudo-unitary -Freudenthal Kantor triple systems. Further, we give the notion of -structurable algebras and connect them to -Freudenthal Kantor triple systems and the corresponding Lie (super) algebra construction
'Practicing place value': How children interpret and use virtual representations and features
No full textSchulz A, Walter D. 'Practicing place value': How children interpret and use virtual representations and features. In: Thomas Jankvist U, van den Heuvel-Panhuizen M, Veldhuis M, eds. {Eleventh Congress of the European Society for Research in Mathematics Education}. Proceedings of the Eleventh Congress of the European Society for Research in Mathematics Education (CERME11). Vol TWG16. Utrecht, Netherlands: {Freudenthal Group}; 2019
AVICENNA AMONG MEDIEVAL JEWS THE RECEPTION OF AVICENNA'S PHILOSOPHICAL, SCIENTIFIC AND MEDICAL WRITINGS IN JEWISH CULTURES, EAST AND WEST
No full textThe reception of Avicenna by medieval Jewish readers presents an underappreciated enigma. Despite the philosophical and scientific stature of Avicenna, his philosophical writings were relatively little studied in Jewish milieus, be it in Arabic or in Hebrew. In particular, Avicenna's philosophical writings are not among the "Hebraische Ubersetzungen desMittelalters" - only very few of them were translated into Hebrew. As an author associated with a definite corpus of writings, Avicenna hardly existed in Jewish philosophy in Hebrew (contrary to Averroes). Paradoxically, however, some of Avicenna's most distinctive ideas were widely known and embraced by Jewish philosophers. This is the phenomenon that we dub Avicennian knowledge without Avicenna. In contrast with the philosophical treatises, Avicenna's medical writings were widely and intensively studied by Jews, especially in Hebrew, and remained influential until at least the seventeenth century. The present article presents a comprehensive picture of Avicenna's reception within medieval Jewish cultures in both Arabic and Hebrew and tries to explain the Jews' complex attitude to Avicenna.It is a comprehensive historical overview and detailed, with precise reference to all these cases so far examined and the entire bibliography still available, direct and indirect influence exerted by the thought and especially the philosophical and scientific works of Avicenna on Jewish philosophy Judeo-Arabic and Jewish medieval, from 1050 to 1500 or so, in the Mediterranean area
A characterization of -Freudenthal-Kantor triple systems
No full textIn this paper, we discuss a connection between -Freudenthal–Kantor triple systems, anti-structurable algebras, quasi anti-flexible algebras and give examples of such structures. The paper provides the correspondence and characterization of a bilinear product corresponding a triple product
On -Freudenthal Kantor triple systems and anti-structurable algebras with certain conditions
No full textIn this paper we discuss a characterization of anti-structurable algebras in connection with their relation with -Freudenthal Kantor triple systems
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