ERIC Number: EJ1121410
Record Type: Journal
Publication Date: 2016
Pages: 11
Abstractor: ERIC
ISBN: N/A
ISSN: ISSN-0819-4564
EISSN: N/A
Ghosts of Mathematicians Past: Paolo Ruffini
Fitzherbert, John
Australian Senior Mathematics Journal, v30 n2 p27-37 2016
Paolo Ruffini (1765-1822) may be something of an unknown in high school mathematics; however his contributions to the world of mathematics are a rich source of inspiration. Ruffini's rule (often known as "synthetic division") is an efficient method of dividing a polynomial by a linear factor, with or without a remainder. The process can be generalised to non-linear divisors. Ruffini's rule can be further generalised to evaluation of derivatives at a given point, does not require technology and, most importantly, it is not beyond the reach of high school mathematics students to prove why the rule works for polynomials of a specific degree. In this article, the author discusses Paolo Ruffini's rule of "synthetic division" and the benefits to teaching it.
Descriptors: Mathematics, Professional Personnel, Mathematics Instruction, Validity, Mathematical Logic, Mathematical Concepts, Secondary School Mathematics, High Schools
Australian Association of Mathematics Teachers (AAMT). GPO Box 1729, Adelaide 5001, South Australia. Tel: +61-8-8363-0288; Fax: +61-8-8362-9288; e-mail: office@aamt.edu.au; Web site: http://www.aamt.edu.au
Publication Type: Journal Articles; Reports - Descriptive
Education Level: Secondary Education; High Schools
Audience: N/A
Language: English
Sponsor: N/A
Authoring Institution: N/A
Grant or Contract Numbers: N/A