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René Thom: From Mathematics to Philosophy
In this chapter, I will discuss René Thom’s approach to philosophy based on his mathematical background. At the same time, I will highlight his...
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Teaching Mathematics Through Problem Modelling and Solving
The teaching of mathematics in high school and university and its relationship with problem modelling and solving is at the centre of debate in many...
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Introduction to Mathematicians’ Reflections on Practice and Working Philosophy of Mathematics
This is the introduction to the section “Mathematicians’ Reflections on Practice and Working Philosophy of Mathematics” of the Handbook of the...
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Computer Experiment in Teaching Mathematics
AbstractA mathematical experiment has always been a key source for a mathematical discovery. Over the past 50 years, thanks to digital technologies,...
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Yuri Ivanovich Manin (1937–2023): Mathematics, Philosophy, and Poetry
This is a personal view of and commentary on Yuri Manin’s relationship with mathematics, philosophy, literature, poetry, art, and culture. His life...
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PLATO’s Philosophy of Mathematics
PLATO (Πλάτων) was born around 428 B.C.E. in Athens (or Aigina?). He descended from an old, highly respected Athenian family.
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Introduction to Mathematicians’ Reflections on Practice and Working Philosophy of Mathematics
This is the introduction to the section “Mathematicians’ Reflections on Practice and Working Philosophy of Mathematics” of the Handbook of the...
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Yuri Ivanovich Manin (1937–2023): Mathematics, Philosophy, and Poetry
This is a personal view of and commentary on Yuri Manin’s relationship with mathematics, philosophy, literature, poetry, art, and culture. His life...
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Ethnomathematics Affirmed Through Cognitive Mathematics and Academic Achievement: Quality Mathematics Teaching and Learning Benefits
Ethnomathematics is the intersection where mathematics and culture meet. It is a teaching philosophy that directs and guides mathematics learning...
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Some Disillusioned Thoughts About School and Teaching
This is an outline of my experience, from philosophy, to physics and then to mathematics, and my personal view on today’s important philosophical...
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Research in History and Philosophy of Mathematics The CSHPM 2021 Volume
This volume contains eighteen papers that have been collected by the Canadian Society for History and Philosophy of Mathematics. It showcases...
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René Thom: From Mathematics to Philosophy
In this chapter, I will discuss René Thom’s approach to philosophy based on his mathematical background. At the same time, I will highlight his...
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Mathematics in Astronomy at Harvard College Before 1839 as a Case Study for Teaching Historical Writing in Mathematics Courses
Writing a research paper is an important but challenging milestone for secondary and undergraduate students, one that does not need to be limited to...
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Mathematics Education Research on Mathematical Practice
In the mathematics education research literature, there is a growing body of scholarship on how mathematicians practice their craft. The purpose of...
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The Impact of Political Decisions on Mathematics
This last chapter analyzes a selection of cases where political decisions affected, positively or not, the research and teaching of mathematics: the...
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Mathematics, History of Mathematics and Poncelet: The Context of the Ecole Polytechnique
Jean-Victor Poncelet (1788–1867) is known as a geometer whose mathematical contributions were crucial for the development of what would later become...
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Research in History and Philosophy of Mathematics The CSHPM 2019-2020 Volume
This volume contains eleven papers that have been collected by the Canadian Society for History and Philosophy of Mathematics/Société canadienne...
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Ontology in the History and Philosophy of Mathematical Practice: An Introduction
This very short introduction will first outline how ontological investigations and questions of practice go together. The second section will bring...
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Creating New Mathematics by Schoolchildren
AbstractThe paper discusses an example of an educational project in modern mathematics in which school students create mathematics that is new to...