**ERIC Number:**EJ1153296

**Record Type:**Journal

**Publication Date:**2017

**Pages:**11

**Abstractor:**ERIC

**ISBN:**N/A

**ISSN:**ISSN-0819-4564

**EISSN:**N/A

Ghosts of Mathematicians Past: Bharati Krishna and Gabriel Cramer

Fitzherbert, John

Australian Senior Mathematics Journal, v31 n1 p48-58 2017

Jagadguru Shankaracharya Swami Bharati Krishna Tirtha (commonly abbreviated to Bharati Krishna) was a scholar who studied ancient Indian Veda texts and between 1911 and 1918 (vedicmaths.org, n.d.) and wrote a collection of 16 major rules and a number of minor rules which have collectively become known as the "sutras of Vedic mathematics." The numbering of the sutras in this article has been adopted from Williams and Gaskell (2010) which matches the numbering from the online references. Some of the rules described by the Vedic Sutras can be used to improve the efficiency in a number of calculations (which makes them interesting to students and teachers of mathematics) and as theorems, they can be proven algebraically (which makes them interesting to students and teachers of mathematics). In some cases, the processes of calculation are remarkably similar to other historical gems: for example, Cramer's rule (Katz, 2004, pp. 378--379) when applied to 2 by 2 systems of linear equations is quite similar to the solution process obtained using the Paravartya Yojayet Sutra (Babajee, 2012) which translates roughly as "transpose and apply" (Williams & Gaskell, 2010). This article aims to introduce some of the Vedic techniques, give an example of how each technique may be used and how it may be proven algebraically, with the big-picture question of where and when such ideas could be utilised within the secondary mathematics curriculum.

Descriptors: Mathematics, Professional Personnel, Mathematics Instruction, Equations (Mathematics), Computation, Secondary School Mathematics, Mathematics Teachers, Algebra, Foreign Countries

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

**Audience:**N/A

**Language:**English

**Sponsor:**N/A

**Authoring Institution:**N/A

**Identifiers - Location:**Australia

**Grant or Contract Numbers:**N/A