Discovery fiction: Difference between revisions
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'''Discovery fiction''' is an exposition style in which the content is motivated by a fictitious history of how someone might have discovered the ideas being explained. The idea is mainly used in mathematics. | '''Discovery fiction''' is an exposition style in which the content is motivated by a fictitious history of how someone might have discovered the ideas being explained. The idea is mainly used in mathematics.<ref>https://cognitivemedium.com/interfaces-1/ September 2017.</ref><ref>https://cognitivemedium.com/srs-mathematics January 2019</ref> | ||
==History== | ==History== | ||
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* https://gowers.wordpress.com/2011/11/20/normal-subgroups-and-quotient-groups/ | * https://gowers.wordpress.com/2011/11/20/normal-subgroups-and-quotient-groups/ | ||
* https://michaelnielsen.org/ddi/how-the-bitcoin-protocol-actually-works/ | |||
* https://www.lesswrong.com/posts/rTC8MgPuYfXEw3WLp/discovery-fiction-for-the-pythagorean-theorem (see also [https://matheducators.stackexchange.com/questions/19397/how-to-teach-the-pythagorean-theorem-in-a-satisfying-way-to-high-school-students here]) | * https://www.lesswrong.com/posts/rTC8MgPuYfXEw3WLp/discovery-fiction-for-the-pythagorean-theorem (see also [https://matheducators.stackexchange.com/questions/19397/how-to-teach-the-pythagorean-theorem-in-a-satisfying-way-to-high-school-students here]) | ||
* From Ronald Solomon's ''Abstract Algebra'': "The intention of this text is to emphasize the organic and historical development of the abstract theory of groups, rings, and fields from the substrate of high school mathematics. In Part I the 'history' is fictitious. It is only with imaginative hindsight that we can attribute the concept of a group of motions to Euclid. In the later parts, however, the history is genuine, although the notation and terminology is updated." (p. ix) | * From Ronald Solomon's ''Abstract Algebra'': "The intention of this text is to emphasize the organic and historical development of the abstract theory of groups, rings, and fields from the substrate of high school mathematics. In Part I the 'history' is fictitious. It is only with imaginative hindsight that we can attribute the concept of a group of motions to Euclid. In the later parts, however, the history is genuine, although the notation and terminology is updated." (p. ix) | ||
==References== | |||
<references/> | |||
Revision as of 06:54, 23 June 2022
Discovery fiction is an exposition style in which the content is motivated by a fictitious history of how someone might have discovered the ideas being explained. The idea is mainly used in mathematics.[1][2]
History
The term was coined by Michael Nielsen. (there are probably alternative terms too that might have come earlier)
Examples
- https://gowers.wordpress.com/2011/11/20/normal-subgroups-and-quotient-groups/
- https://michaelnielsen.org/ddi/how-the-bitcoin-protocol-actually-works/
- https://www.lesswrong.com/posts/rTC8MgPuYfXEw3WLp/discovery-fiction-for-the-pythagorean-theorem (see also here)
- From Ronald Solomon's Abstract Algebra: "The intention of this text is to emphasize the organic and historical development of the abstract theory of groups, rings, and fields from the substrate of high school mathematics. In Part I the 'history' is fictitious. It is only with imaginative hindsight that we can attribute the concept of a group of motions to Euclid. In the later parts, however, the history is genuine, although the notation and terminology is updated." (p. ix)
References
- ↑ https://cognitivemedium.com/interfaces-1/ September 2017.
- ↑ https://cognitivemedium.com/srs-mathematics January 2019