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dc.contributor.authorTularam, Gurudeo
dc.date.accessioned2017-10-04T12:30:29Z
dc.date.available2017-10-04T12:30:29Z
dc.date.issued2012
dc.date.modified2013-04-04T03:29:03Z
dc.identifier.issn1060-9881
dc.identifier.urihttp://hdl.handle.net/10072/49210
dc.description.abstractHistorical development of algebra occurred in three stages; rhetorical or prose algebra, syncopated or abbreviated algebra and symbolic algebra - known as "school algebra". The analysis of this paper suggests that the first civilization to develop symbolic algebra was the Vedic Indians. The philosophical and religious ideas influenced the development of the decimal system and arithmetic and that led to algebra. Symbolic algebra appears to be deep rooted in Vedic philosophy. The Vedic mathematic were of a high level at an early period. The Hindus applied algebra freely creating formulas that simplified calculations. In geometry and trigonometry they developed formulas useful to understand the physical world satisfying the needs of religion (apara and para vidya). Geometrical focus, logic and proof type are features of Greek mathematics "boldness of conception, abstraction, symbolism" are evident in Indian mathematics. From history, a number of implications can be drawn. Real life, imaginative and creative problems that encourage risk should be the focus in student learning; allowing students freely move between symbols, numbers and magnitudes rather than taking a static unchanging view. Concrete, pictorial and symbolic modes are present in ancient learning. Real life practical, philosophical and religious needs in concert motivated progress to symbolic algebra. The historical analysis supports the use of rich context based problems that stimulate and motivate students to raise levels higher to transfer knowledge. The road from arithmetic to algebra was clearly in line with current emphasis in mathematics education but at an early stage in human history.
dc.description.peerreviewedYes
dc.description.publicationstatusYes
dc.format.extent278312 bytes
dc.format.mimetypeapplication/pdf
dc.languageEnglish
dc.language.isoeng
dc.publisherNova Science Publishers
dc.publisher.placeUnited States
dc.publisher.urihttp://www.novapublishers.org/catalog/product_info.php?products_id=23065
dc.relation.ispartofchapter16
dc.relation.ispartofstudentpublicationN
dc.relation.ispartofpagefrom163
dc.relation.ispartofpageto187
dc.relation.ispartofissue2
dc.relation.ispartofjournalInternational Journal of Mathematics, Game Theory and Algebra
dc.relation.ispartofvolume20
dc.rights.retentionY
dc.subject.fieldofresearchPure Mathematics not elsewhere classified
dc.subject.fieldofresearchMathematical Sciences not elsewhere classified
dc.subject.fieldofresearchMathematical Sciences
dc.subject.fieldofresearchcode010199
dc.subject.fieldofresearchcode019999
dc.subject.fieldofresearchcode01
dc.titleInvestigating the Development of Arithmetic and Algebra in Vedic India: Tribute to Swami Dayananda Saraswati
dc.typeJournal article
dc.type.descriptionC1 - Articles
dc.type.codeC - Journal Articles
gro.facultyGriffith Sciences, Griffith School of Environment
gro.rights.copyright© 2012 Nova Science Publishers. This is the author-manuscript version of this paper. It is posted here with permission of the copyright owner for your personal use only. No further distribution permitted. For information about this journal please refer to the journal’s website or contact the author.
gro.date.issued2012
gro.hasfulltextFull Text
gro.griffith.authorTularam, Gurudeo A.


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