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The Computer as Crucible: An Introduction to Experimental Mathematics
- Publisher
- Springer International Publishing
- Copyright
- © Springer Nature Switzerland AG 2019
- ISBN
- 978-3-030-22536-0
- Pages
- 53 –78
- DOI
- 10.1007/978-3-030-22537-7_3
- Publisher site
- See Chapter on Publisher Site
Abstract
[For thousands of years, mastering numerical and symbolic calculation techniques was essential to be able to do mathematics. By 1990, that requirement was eliminated by the introduction of digital technologies that can perform any formal procedure. Those technologies revolutionized mathematical praxis. For the professionals, doing and using mathematics today is a very different experience from any time in the past. This chapter describes how today’s mathematicians go about their daily work, and looks at the challenges of changing educational practice to prepare today’s students to enter this new mathematical world.]
Published: Sep 15, 2019
Keywords: Mathematics technologies; Mathematical praxis; Computational mathematics; Post-rigorous thinking; Evolution of mathematical thinking