Essays On Mathematical Reasoning Cognitive Aspects Of Mathematical Research And Education
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Essays on mathematical reasoning : cognitive aspects of mathematical research and education
This volume contains four essays which may attract the attention of those readers, who are interested in mathematical cognition. The main issues and questions addressed include: How do we achieve understanding of mathematical notions and ideas? What benefits can be obtained from the mistakes of great mathematicians? Which mathematical objects are standard and which are pathological? Is it possible to characterize the intended models of mathematical theories in a unique way?
Glimpses into the World of Mathematics
Essays collected in this volume deal with various problems from the philosophy of mathematics. What connects them are two questions: how mathematics is created and how it is acquired. In 'Three Worlds of Mathematics' we are familiarized with David Tall's ideas pertaining to the embodied, symbolic and formal worlds of mathematics. In 'Basic Ideas of Intuitionism', we focus on an epistemological approach to mathematics which is distinctive to constructive mathematics. The author focuses on the computational content of intuitionistic logic and shows how it relates to functional programming. 'The Brave Mathematical Ant' carefully selects mathematical puzzles related to teaching experiences in a way that the solution requires creativity and is not obtainable by following an algorithm. Moreover the solution gives us some new insight into the underlying idea. 'Degrees Of Accessibility Of Mathematical Objects' discusses various criteria which can be used to judge accessibility of mathematical objects. We find logical complexity, range of applications, existence of a physical model as well as aesthetic values. Jerzy Pogonowski, Faculty of Psychology and Cognitive Sciences, Adam Mickiewicz University, Pozna? Szymon Chlebowski, Faculty of Psychology and Cognitive Sciences, Adam Mickiewicz University, Pozna? Barbara Borkowicz, Faculty of Mathematics and Computer Science, Adam Mickiewicz University, Pozna?
Proceedings of 5th Borobudur International Symposium on Humanities and Social Science (BISHSS 2023)
Author: Zulfikar Bagus Pambuko
language: en
Publisher: Springer Nature
Release Date: 2024-08-01
This is an open access book. In our rapidly evolving modern era, the intersection of green technology and digital society has shifted paradigm shifts across various facets of human life. The fusion of these two domains holds the potential to profoundly impact society’s social aspects. Therefore, The 5th Borobudur International Symposium with the theme “Smart and Sustainable: The Synergy of Green Technology and Digital Society” is designed to delve into and celebrate the strong synergy between green technology and the digital society, specifically focusing on social sciences. The background of this conference reflects the significant tensions in modern society. On the one hand, we witness innovative strides in green technology to reduce negative environmental impacts and develop more sustainable systems. On the other hand, our society is becoming increasingly interconnected in a vast digital network, enabling unprecedented information exchange that influences social interactions, work, education, and many other aspects of daily life. As green technology and the digital society converge, new and crucial opportunities and challenges emerge in the social context. Through this International Conference, we hope to provide a platform for researchers, practitioners, and stakeholders to share knowledge, experiences, and innovative ideas to better understand how green technology and the digital society can collaborate to achieve smarter and more sustainable societies.