Indigenous Counting Systems of India and Their Impact on Numerical Cognition

Auteurs

DOI :

10.37618/PARADIGMA.1011-2251.2025.e2025023.id1699

Mots-clés :

Ethnomathematics, Indigenous counting systems, Numerical cognition, Cultural significance of numeration

Résumé

This article serves the diversity of indigenous counting systems across India and their profound impact on numerical cognition. By examining ancient and modern counting methods from various tribal and regional communities across the nation, we analyse how these systems influence  mathematical thinking, problem-solving abilities, and spatial reasoning. The research highlights the cultural and cognitive significance of these systems, their alignment with the historical development of Indian mathematics, and their potential applications in modern education. Through comprehensive analysis of numerical representations, base systems, and cultural contexts, we illustrate how indigenous knowledge systems offer valuable insights into alternative approaches to mathematical understanding.

Téléchargements

Les données relatives au téléchargement ne sont pas encore disponibles.

Références

D'AMBROSIO, U. Ethnomathematics and its place in the history and pedagogy of mathematics. For the Learning of Mathematics, v. 5, n. 1, p. 44-48, 1985.

DATTA, B.; SINGH, A. N. History of Hindu Mathematics: A Source Book. Lahore: Motilal Banarsidass, 1935.

JOSEPH, G. G. The Crest of the Peacock: Non-European Roots of Mathematics. Princeton: Princeton University Press, 2011.

LAKOFF, G.; NÚÑEZ, R. E. Where Mathematics Comes From: How the Embodied Mind Brings Mathematics into Being. New York: Basic Books, 2000.

PLOFKER, K. Mathematics in India. Princeton: Princeton University Press, 2009.

SAXE, G. B. Cultural Development of Mathematical Ideas: Papua New Guinea Studies. Cambridge: Cambridge University Press, 2012.

SELIN, H. Mathematics Across Cultures: The History of Non-Western Mathematics. New York: Springer, 2000.

WHORF, B. L. Language, Thought, and Reality: Selected Writings of Benjamin Lee Whorf. Cambridge: MIT Press, 1956.

ZASLAVSKY, C. Africa Counts: Number and Pattern in African Cultures. Chicago: Lawrence Hill Books, 1999.

ASCHER, M. Mathematics Elsewhere: An Exploration of Ideas Across Cultures. Princeton: Princeton University Press, 2002.

BARTON, B. The Language of Mathematics: Telling Mathematical Tales. New York: Springer, 2008.

DEHAENE, S. The Number Sense: How the Mind Creates Mathematics. Oxford: Oxford University Press, 2011.

IFRAH, G. The Universal History of Numbers: From Prehistory to the Invention of the Computer. New York: Wiley, 2000.

MENNINGER, K. Number Words and Number Symbols: A Cultural History of Numbers. New York: Dover Publications, 1992.

ASCHER, M.; ASCHER, R. Mathematics of the Incas: Code of the Quipu. New York: Dover Publications, 1997.

Téléchargements

Publiée

2025-07-05

Métricas


Visualizações do artigo: 605     PDF (Español (España)) downloads: 877

Comment citer

Bardhan, R., Orey, D. C., & Rosa, M. (2025). Indigenous Counting Systems of India and Their Impact on Numerical Cognition. PARADIGMA, 46(2), e2025023. https://doi.org/10.37618/PARADIGMA.1011-2251.2025.e2025023.id1699

Numéro

Rubrique

Artículos

Deprecated: json_decode(): Passing null to parameter #1 ($json) of type string is deprecated in /home1/revis019/public_html/plugins/generic/citations/CitationsPlugin.inc.php on line 49