ERIC Number: EJ1463768
Record Type: Journal
Publication Date: 2024
Pages: 23
Abstractor: As Provided
ISBN: N/A
ISSN: ISSN-1744-2710
EISSN: EISSN-2045-2519
Available Date: 0000-00-00
Top-Down Design with Hyperlinks for Long Mathematical Proofs
Leonard M. Wapner
International Journal for Technology in Mathematics Education, v31 n4 p16-38 2024
Beyond mathematical complexity, a proof's length may, in and of itself, impede its comprehension. The same would apply to constructions, calculations and other mathematical expositions. Today's technology provides readers websites and electronic documents with hyperlinks, giving readers direct access from one location of the exposition to a different location. Using hyperlinks, electronic proofs may be presented in a top-down, modular format, making it possible for the reader to personalize the proof to the desired level of detail. To illustrate, a top-down proof of the Banach-Tarski theorem is given with live hyperlinks, permitting the reader to navigate the proof as they choose, with the precise level of detail required.
Descriptors: Hypermedia, Internet, Mathematical Logic, Validity, Mathematical Concepts, Design, Web Sites
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Publication Type: Journal Articles; Reports - Descriptive
Education Level: N/A
Audience: N/A
Language: English
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