Dienes Valéria és Dienes Zoltán mint a matematika kommunikációelméleti filozófiájának előfutárai

Benedek, András (2018) Dienes Valéria és Dienes Zoltán mint a matematika kommunikációelméleti filozófiájának előfutárai. KELLÉK (60). pp. 61-110. ISSN 1453-7400

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Abstract

András G. Benedek Valéria Dienes and Zoltán P. Dienes as precursors of a communication-theory-based philosophy of mathematics Had she actually written it, the question, „How do we realize a mathematical truth?” would have been the starting point of Valéria Dienes’ philosophy of mathematics. Her son, Zoltán P. Dienes, worldwide known for his pedagogy of mathematics, has profoundly contributed to maverick philosophies of mathematics founded on the experience of the embodied mind. The common feature of Valéria Dienes's approach to music and modern dance and Zoltán P. Dienes's practice of learning and teaching mathematics is that both of them try to grasp the temporal aspects and development of thought and movement as a process of conscience formation creating human understanding. Valeria Dienes's evological model of communication provides a psycho-semantic conception of understanding that emerges from the interconnection of personal experience and common action. Her theory of human expression provides the basis for the art of movement what she called Orchestics, just as the starting point for Zoltán Dienes's principles for the development of mathematical abstraction. The paper tries to show that the winding road from Vygotsky to Wittgenstein and the contemporary findings of cognitive psychology could have been shorter and more direct if Valéria Dienes’ semiotic approach to the art of movement – extended to mathematical operations and conceptualization in consequent indications – could have gained more space in theoretical discourses.

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